diff --git "a/data/dm_maths/full_data_2/1757_11255.jsonl" "b/data/dm_maths/full_data_2/1757_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1757_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y be ((-17)\/2 - -7)\/(1\/2). What is the smallest value in 2\/11, -0.1, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/44 + (-119)\/4. Let y = -154 - -90. Is (g\/(-8))\/((-6)\/y) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0971 (b) 2\/13 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16575937 to the nearest integer?\nAnswer: 4071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2310)\/(-28))\/33)\/((-16)\/96).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.467 + 0.46146. Round n to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 6*n + 3*n)*(-n - 2 + 2) + 0*n**2 + 3*n**2 - n**2 + (63 - 1 - 9)*(0*n + n**2 + 2 + 0*n + (-4*n + 5*n + n)*(-3 + 3*n + 3)).\nAnswer: 375*n**2 + 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*p + 3 + 4 = 0, 7 = i - 4*p. Suppose 7611 - 1641 = i*t. What is t rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 12*q**2 + 5*q - 11 - 13*q**2 + 7*q. Let y be l(11). Factor 4\/11*i**3 - 2\/11*i**4 - 2\/11*i**2 + y*i + 0.\nAnswer: -2*i**2*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p - 5*s - 17 = 0, 0 = 3*s + 15. Factor -v**3 - 2*v + 3*v**3 - v**4 - 4*v**p + 5*v**4.\nAnswer: 2*v*(v - 1)*(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 538 and 50841.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*j - 7*j = 65, 2*j = -8. What is the lowest common multiple of (-553)\/t - 2\/7 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (20\/(-5))\/(-16). Sort 5, 2, l.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 830612, 830614, 830616?\n\"Answer: 2*y + 830610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33330*f**5 - f**4 - 7457450*f**2.\nAnswer: -1999800*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/180)\/((-9)\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/26)\/(136\/(-1768))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 p when four letters picked without replacement from {p: 6, y: 6}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -39*o**3 - 25*o**2 - 11*o - 5. Let y(u) = -76*u**3 - 47*u**2 - 20*u - 10. Calculate 9*w(l) - 5*y(l).\nAnswer: 29*l**3 + 10*l**2 + l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -163.424278.\nAnswer: -163.524278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*d**2 - 14*d**2 - 248 - 17*d**2 - 79 - 13*d**2 in the form k*d + t + w*d**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -135979?\nAnswer: -135982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 0*j - 1\/4*j**4 + 0*j**3 + 0 + 1\/4*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(528))\/((sqrt(110)*1)\/sqrt(10)))**2.\nAnswer: -16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 19*b**4 - 7*b**3\/6 - 5*b**2\/2 - 11*b + 3. List the prime factors of k(-1).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4242 - -5a?\nAnswer: -41e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34811 is divided by 34694?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Let q be (28\/595)\/(3\/(-5)). Let w = q - 3\/34. Which is the second smallest value? (a) -4 (b) 5 (c) w (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)*6)\/((sqrt(32) - 3*sqrt(32))\/sqrt(4)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(0*d**2 + d**2 + 5 - 4)*(42 + 123 - 42)*(-28 - 29 + 43) in the form s*d**2 + q + p*d and give q.\nAnswer: -3444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1308, -5522, -12526, -22314, -34880, -50218, -68322, -89186?\n\"Answer: o**3 - 1401*o**2 - 18*o + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -498936, -997888, -1496848, -1995816, -2494792, -2993776?\n\"Answer: -4*d**2 - 498940*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2555 - 292. What are the prime factors of p?\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/5)*(m*m\/(m*m**(1\/6)*m))\/m)\/((m\/(m\/((m*m\/(m*m**(-7)*m))\/m*m*m)))\/m*m**10))**(-7\/3) assuming m is positive.\nAnswer: m**(3563\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**(3\/7))))\/a**4)**38 assuming a is positive.\nAnswer: a**(-912\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 2*w**3 + 2*w + ((-3*w + w - 2*w)*(w + 3 - 3) - 4*w**2 - 3*w**2 - w**2)*(6*w - w + 4*w) to the form b + o*w + v*w**3 + h*w**2 and give v.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 49, 51?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228409496 is divided by 125.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + g**2 + g + 1. Let j(q) = -1 + q**3 + q**3 - q**3 - q**2 - q. Let p be (-2)\/(-7) - (22 - (-636)\/(-28)). What is p*j(w) + c(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 96 = r + 22, 4*w = 3*r + 116. Suppose 5*o + 34 + w = 0. Is ((-39)\/(-12))\/((-3)\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i. Let p(z) be the third derivative of z**7\/1260 - z**4\/6 + 5*z**2. Let l(o) be the second derivative of p(o). Give l(n(x)).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169709.\nAnswer: 169709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*u**3 + 22*u**3 + 94*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 5, 86, -15, 1 in ascending order.\nAnswer: -101, -15, 1, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102036*q + 423*q**3 + 51031*q + 51005*q.\nAnswer: 423*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(252) + sqrt(252) + (sqrt(252)*2 - sqrt(252))) - (-3 + (sqrt(18) - sqrt(2))**2)*5.\nAnswer: -25 + sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*h + 130. Suppose 116*b + 36 = 114*b. Let n = h + b. What is the remainder when 62 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -1\/10*j**5 + 0 + 0*j**4 - 3*j - 5\/2*j**2 + 0*j**3. Differentiate y(a) wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-6))\/((-17545)\/38280)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*(-1 - 1). Suppose d + 4*u - k*u - 31 = 0, -d + u + 21 = 0. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21122103331203 + 3?\nAnswer: 21122103331212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 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: Calculate ((-2)\/(-3))\/(3963\/(-487449)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p + 53*p**2 - 16*p**2 - 18*p**2 - 18*p**2 + 7. Give g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 521*i**2 + 184*i**2 - 76*i**2 - 12 - 10 - 93*i**2. Is k(-5) 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 350001508?\nAnswer: 2, 17, 19, 270899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011002 (base 3) to base 7.\nAnswer: -2306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 8\/(-6*(85\/(-30))\/17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -119. Suppose 0 = 5*j - g + 10. Suppose -5*t - 319 = -3*d, -d - 60 = j*t - 193. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - j + 14. Let v(g) = 5*g**2 - 3*g + 42. Let x(d) = -4*v(d) + 11*z(d). Suppose 221*k = 225*k - 28. Is x(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -2*u, -u + 6 = 5*c - 7. Let s = -1 + -2. Is u smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 4d5?\nAnswer: -4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:56 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 348811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and -10*24\/16*6\/(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -926*r - 3 + 928*r + 24*r**2 + 5*r**2 + 5*r**3 - 48*r**2 to q + n*r**2 + j*r + m*r**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3*(sqrt(2057) + 2) + sqrt(2057) - 4*(-1 + sqrt(2057)))**2 + 2)*5.\nAnswer: 1320*sqrt(17) + 370280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-27)\/(h**20*h) assuming h is positive.\nAnswer: h**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-84)\/(-10) - (-3101)\/(-2215). Solve 7*p - x = 2*n, 2*n + 5*p - 7 + 2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/((-39)\/10)*(-693)\/(-22). Let o = 7 + -7. Suppose 5*r - 3*g - 216 = o, -5*r = -2*g - 3*g - 220. Calculate the highest common factor of r and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/6 + f**4\/4 + f**2. Find the second derivative of l(a) wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 10*d**2 + 11*d + 3. Let r be s(11). Suppose 0*q + 12 = r*q. Let f be 3\/q - 46\/8. Sort -1, 3, f in ascending order.\nAnswer: f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4 = 2*q, -q + 0*q = -b - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 9 = -2*j, -197*v + 33 = -194*v - 3*j for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 730 and 130?\nAnswer: 9490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(1\/3). Let u be 4\/(-90)*3 - 7\/15. Sort h, -0.3, u in descending order.\nAnswer: h, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 3:10 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 155, 0.5, 5, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 23 + 26 = 0. Find the second derivative of 20*r - 6*r**p + 2*r**3 + 10*r**3 wrt r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 2*y = -36. Let b be (-105)\/(-28) + (-2)\/(-8). Suppose -60 = -b*k + 5*h, 0*h - 36 = -k - 4*h. Solve k = -y*c - c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, g: 3, c: 2}. Give prob of picking 3 g.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.75 * 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b3b87 + 37c?\nAnswer: b4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 20*q + 20. Suppose t + 2 = y + 19, 5*y + 94 = 2*t. Calculate the remainder when 38 is divided by d(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17598, 35219, 52840, 70461, 88082?\nAnswer: 105703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799 divided by -6052?\nAnswer: -1799\/6052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 20*t**2 - 12*t + 10. What is the units digit of s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46245*l**3*n + 3*l**3 + l**2*n + l**2 - 2*l*n - 306*l + 3*n - 1 wrt n.\nAnswer: -46245*l**3 + l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 2*l**3 + (2 - 2 - l**2)*(-l - 2*l - 8*l) + 112*l**3 + 408*l**3 - 224*l**3.\nAnswer: 309*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*x**2 + 9*x**2 + 729*x - 2192*x + 737*x + 730*x.\nAnswer: -222*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3712*q**2 + 496 - 1236*q**2 - 496 - 1235*q**2 - 1240*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 + 2*b**3 - 15*b**3 + 4*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 7*h**2 + 13*h + 7. Let a be u(-1). Which is greater: -1\/73 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/4 - (1 + -1). Suppose 37 = i + 2*k - 7*k, -4*k + 16 = u*i. Suppose s + 18 = 4*h, -8*h = -3*h + 3*s - 14. Solve 0 = h*v - i - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2635164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 7*r - 6. Let d be k(8). Let i(b) = 5*b**d + 6*b**3 + 8*b**3 - 10*b**3 + 5*b. Let u(p) = -2*p**3 - 2*p**2 - 2*p. What is 2*i(l) + 5*u(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, 6567 in increasing order.\nAnswer: 0, 35, 6567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 7*u - 3. Let v(c) = -2*c**2 + 3*c + 1. Suppose 39*y = 25*y + 42. Determine y*x(p) + 7*v(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 2*j. Let t(r) = -r**2 + 5*r + 6. Let l be t(6). Suppose -j = -5*v - l. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-11)\/((-132)\/5430))*(-250)\/(-100).\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-3566.3.\nAnswer: -356.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5 + 14 - 7)*(-3077*x**2 - 2461*x + 1214*x + 1247*x).\nAnswer: -3077*x**3 - 6154*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79 + -80)\/(-18 + (-5852)\/(-330)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -600 - -714. List the prime factors of d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 4*n + 0*n**2 + 0*n**3 - n**3 + 24 + n**2. Let h be b(0). Solve 3*z = 4*r - 0*z - h, -z = -3*r + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006473 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 102551100 - 11*v**2 - 7*v**2 - 2*v + 102551100.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 6. Let t = -3 + a. What is the nearest to 1 in 2\/15, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:59 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0*m**2 + 0 - 1\/78*m**4 + 25*m + 0*m**3 - 1\/195*m**6 - 1\/65*m**5. Factor t(a).\nAnswer: -2*a**2*(a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5 - (-2 + (-3)\/7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*(-2112)\/198.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1855 or 1856?\nAnswer: 1855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5432, 5527, 5758, 6191, 6892, 7927, 9362?\nAnswer: 11263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/2 + 1. Calculate the common denominator of -91\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - 0) - (3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.25 - -0.07. Let c = -4.1489 + 3.968. Let z = c - o. What is z rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d + -188?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 = -3*x - 10, 7 = 4*x + 5*t. Suppose -4*o + 4512 = -4*l, 3392 = x*o - 0*o - l. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*g**3 + 96*g + 3 wrt g.\nAnswer: 300*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(((f*(f*f**34)\/f)\/f*f)\/f)\/f)**(-37))**50)**(19\/5) assuming f is positive.\nAnswer: f**(-239020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4901, 9794, 14687, 19580?\nAnswer: 24473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-one fifths of a hour?\nAnswer: 852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-218)\/(-327)*2\/(-4) - (-160)\/(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from sgccgscvsggcucsg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-147)\/1440 + ((-121)\/(-165) - (-3)\/(-5)). Which is the second smallest value? (a) -17 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -661*r**2 + 1010. Let u(f) = 16*f. What is w(u(a))?\nAnswer: -169216*a**2 + 1010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11713 + 11716. Let i(s) be the third derivative of 0*s + 0 - 1\/3*s**5 + 0*s**4 - 4*s**t - 18*s**2. What is the derivative of i(z) wrt z?\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 12*t**3 - 4*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1374 and -111\/4580.\nAnswer: 13740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.014 + -0.0203. Let v = q - -2.3063. What is v rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1034622*w**6 - 2*w**2 - 3*w + 22102 wrt w.\nAnswer: -124154640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 4)*(-d - 2*d + 2*d) + 0*d - 4*d + 2*d + d + 15*d + 54*d)*(-14*d**2 + 26*d - 26*d).\nAnswer: -924*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 250 + -252. Let a = -2041\/5 + 408. Sort o, -0.3, a in descending order.\nAnswer: a, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*b**3 + 52\/11 - 28\/11*b**2 + 2*b.\nAnswer: 2*(b - 13)*(b - 2)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303 - 302.9829. Round o to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 100*q**2 - 3*q. Let l(o) = o**3 - 3*o**2 - 29*o + 11. Let z be l(7). List the prime factors of g(z).\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2 - 12*j - 4. Let n(d) = 33*d**2 + 54*d + 18. Let s(a) = -9*c(a) - 2*n(a). Let u(g) = 213*g. Give s(u(m)).\nAnswer: 272214*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 29*k. Let h(u) = 7*u. Let s(i) = 9*h(i) - 2*m(i). Suppose 4*l - 12 = -2*p, 3 = -l - 5*p + 15. Give s(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8593025l in millilitres?\nAnswer: 859.3025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4836 - 8c?\nAnswer: -48c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 646894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 202*u**2 - 9*u - 3. Let g be l(2). Round g to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.43 rounded to one dp?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -368 (base 15) to base 7\nAnswer: -2153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + 2*a + 3*a + (-3 - 2 - 1)*(3 - 2*a - 3) + 2*a + a - 2*a)*(-174 + 123 + 257)*(2*a - 2*a - 2*a) to o*a + i + l*a**2 and give l.\nAnswer: -5768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4)*24*(-39)\/(-1872)*-8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/2 (b) -2 (c) -2\/21 (d) 0 (e) 0.2 (f) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydppppuuyyppppupd. Give prob of sequence dduy.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 4*q - 5. Let y be p(4). Let l(u) = -u**3 - 6*u**2 - 5*u - 5. Determine l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 19*h**2 - 5*h + 1. Let g(d) = -d**3 + 20*d**2 - 6*d + 2. Let w(q) = -7*a(q) + 6*g(q). Determine w(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100010 - 100?\nAnswer: 110110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112100021 (base 3) to base 12.\nAnswer: 6074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12164 - 1248. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - ((-12 - 1) + (4 - 6) + 9).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -6*886\/(-882))\/(24\/28).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4 - 2238436*w**3 - 22384660*w**2 - 55961900*w = 0.\nAnswer: -5, 0, 559619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -1 - 1)\/((-39)\/2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60656*k**3 + 152871*k wrt k.\nAnswer: 363936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.856 - -3.856. Is o not equal to -1\/2899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -39, -222, -583, -1182, -2079?\nAnswer: -3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 477871507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*a = -3, -x + 2*a = -2*x - 13. Let j = -5 - x. Suppose j*p - 21 = -3*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 28. Let c = -172 - -174. Let t = 14 - 5. What is the remainder when y(c) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 = 1. Let r be (j\/(-1))\/((-3)\/(-3)). Let f = r + -1. Which is the second biggest value? (a) 5 (b) 1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.17 - 0.17. Let r = -2077\/9 + 231. Let i = -229 + 2059\/9. Which is the closest to -1? (a) i (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 5*v**2 - 2*v - 2. Let q be w(6). Suppose 0 = -3*y + q - 7. Solve -2*a = y*u, 0 = u - 2*a - 0*a - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (19 + -8 - -1) - 7 - -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*a + 120. Suppose s = -0*s + 21. Let c = a - s. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/(-1*(-1)\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*t**3 + 140*t**2 - 85*t + 10.\nAnswer: -5*(t - 1)**2*(13*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 r when four letters picked without replacement from {a: 2, q: 5, r: 9}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k)**(2\/41))**(14\/5) assuming k is positive.\nAnswer: k**(84\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*i. Suppose 3*v = 3*q - 9, -11 = i*v - 2. Let b be 2 + ((-64)\/22)\/2. Which is bigger: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12844, 2 in decreasing order.\nAnswer: 12844, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:06 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.806 + 0.094. Let f = -4.2 - -0.2. Let d = j + f. What is the third smallest value in 0.1, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24285 smaller than 24285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -19360*c**3 + 21296*c**2 + 21296*c + 42592. Let z(i) = i**3 - i**2 - i - 2. Determine 4*x(l) + 85184*z(l).\nAnswer: 7744*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.927 + 9.\nAnswer: 26.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -q + 5675, -12*q + 11*q - a + 5678 = 0. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 501 + 1 - (4 - 9 - -2). Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1060\/224423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**6\/8 + t**3\/6 + 10*t**2. Find the first derivative of f(k) wrt k.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1872)*-2)**2 + 3*(sqrt(78)*-3)\/sqrt(6) + 3.\nAnswer: -9*sqrt(13) + 269571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)\/(t\/t**0)*t**(-2\/9)\/(t\/(t**(-5\/4)*t*t)*t))**(8\/17) assuming t is positive.\nAnswer: t**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2065b4 (base 12) to base 13.\nAnswer: 14a823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11122 (base 7) to base 5\nAnswer: 42214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(12\/16 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -16*h - 5. Determine t(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 75. Let h = t - -17. Sort h, -4, 4 in increasing order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:04 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.467465257 and -0.1?\nAnswer: -0.0467465257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 1, j: 2, h: 1, q: 1, g: 3}. Give prob of picking 1 q, 2 n, and 1 m.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from kebtb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*a + 2*o + 13, a - 4*o - 5 = 0. Is 778\/8 - a\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:08 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 - -90. What is s in 95*s**v + 40*s**3 + 19*s - 6*s**4 + s - 14*s**4 + 15*s**3 = 0?\nAnswer: -1, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2490\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10949 is divided by 298.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.77 - -0.23. Let u = 9 - g. Let b be (0\/(-3) - -3) + -8. What is the third biggest value in u, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 + 336*q**4 + 8624*q**3 - 460992*q**2 + 3764768*q.\nAnswer: 2*q*(q - 14)**2*(q + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/11551 - -1744213\/69306. Find the common denominator of y and 115\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239154 = 245*r - 13754. Is -917 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d. Let l(s) = s + 5. Let z(v) = -3*v - 11. Let c(o) = -13*l(o) - 6*z(o). Let p(j) = 4*b(j) - 5*c(j). Determine p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = -2*v + 213702, 128221 = 3*c + v. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p - p - 11*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/3)*g**3\/g)\/(g*g**6*g**(-3\/5)) assuming g is positive.\nAnswer: g**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -442\/3, 2\/5, -1\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 22, -10, -78, -194, -370?\n\"Answer: -2*b**3 + 6*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.05 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*j**2 + 23*j - 2439*j**2 + 23*j + 2 - 46*j.\nAnswer: -2638*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/3 - 814*z\/3 + 812\/3 = 0.\nAnswer: 1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**2 + 56275 - 56275 + 244*y**4 + 8*y**3 + 5106*y wrt y?\nAnswer: 2928*y**2 + 48*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 2 - 870459*n.\nAnswer: -870459*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 176.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -157, 1\/3, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1501012*d**3 - 6289434*d**2.\nAnswer: 9006072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1565463459 and 1981?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddy when three letters picked without replacement from dyd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 617*d - 44417. Calculate g(72).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3177)\/2824)\/(3\/(-4))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:21 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.08, 43, -1, 2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three quarters of a gram in milligrams?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 1217 divide 119033553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 823 + 1600 - 777.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.7. Let z = 6.3 - 1.3. Which is the smallest value? (a) h (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1520300 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9169041 to the nearest integer?\nAnswer: 3028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 67b1c (base 13) to base 2\nAnswer: 101110000011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 123*w + 3422. Let i be r(-81). Solve 9*y - 19*y + i = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, 103225.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05204 - -0.03204. Which is the fifth smallest value? (a) -50\/11 (b) 2 (c) n (d) -3 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q. Let w(t) be the first derivative of -t**3\/3 + t**2 + 2*t - 5. Let a be w(-2). Let m(d) = -5*d - d + 0*d. Determine a*m(o) - 7*z(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = -41 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j**2 - 6*j**2 - 19*j - 15*j - 2*j**2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7190.2792 rounded to the nearest ten?\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6685, 16807, 26941, 37093, 47269, 57475?\n\"Answer: d**3 + 10115*d - 3431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1359 (b) -866 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2946.32 + -2944.970236. Let l = -1.35 + h. What is l rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571811*j**2 - 6 + 0 + 571810*j**2.\nAnswer: -j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {r: 2, w: 4, h: 1, d: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i = 74*i - 161. Let d(f) = -26*f - 4. Let y be d(-4). Let v = i + y. List the prime factors of v.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -34. Let d = -1\/14 - 9\/70. Put 0.21, t, d in decreasing order.\nAnswer: 0.21, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 4 in decreasing order.\nAnswer: 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*b - 10 = 0, b = -3*b - 8. Let s(t) = -38*t - 1. List the prime factors of s(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18908 - -18998. Is 92 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18800749 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 - ((3 - 0) + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581893696 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2\/5 (b) -4\/9 (c) 5 (d) -3\/25 (e) 1820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c. Let o(b) be the first derivative of b**2 - 5. Calculate f(o(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 7*b**2 - 6*b + 8. Let y be t(6). Suppose y*i - 6 = 5*i. List the prime factors of i + -1 + 12 - 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 281, 288, 295, 302?\n\"Answer: 7*j + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5125 in 5, -0.3, 3051?\nAnswer: 3051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 20*c + 28. What is h(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 5014350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 - 2904*y + 2904*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 11*s - 10. Does 9 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u + 26 = 0. Let g = 13 - u. Let o(b) = -b**2 + 4. Let r be o(g). Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 180937, 179828, 178713, 177592, 176465, 175332?\n\"Answer: -3*g**2 - 1100*g + 182040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -20, -12 + 36 = 2*l + 4*i. Suppose -3 = -o + f, l*o - f + 1 - 9 = 0. Solve 0 = 3*n - u, -n - 5 = o*u - 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000043084 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*z - 2869*z**2 + 5748*z**2 - 2876*z**2.\nAnswer: 3*z*(z - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 9*f**3 - 10671*f**2 + 17766*f - 7104 = 0.\nAnswer: 2\/3, 1, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 171644436*w**2.\nAnswer: -3*w**2*(w + 57214812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18457552 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*u = -s - 6, -3*u = 4*s + 4. Suppose z - 34 = 2*a, 12 = -s*a - 2*a. Let v = -8 + z. Solve -4*c + v = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/8786 and 3\/460.\nAnswer: 87860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + (-81)\/(-18). Solve -1 = -j*s + 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 18. Suppose -l = f*c - 15, -3*c = 4*l - 0*l + 5. Solve 0*k - 4*k = r - 6, 4*k - c*r = 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 12 = 12*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 326*v - 288. Is 23 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -91*r**2 + 32*r - 13. Let h(b) = -11*b**2 + 4*b - 2. Let s(w) = 33*h(w) - 4*u(w). What is s(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 905*v - 93*v + 1088*v to c + i*v and give i.\nAnswer: 1900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/6*(1 - 1). Suppose -3*j - y + 37 = v, 3*j - 49 = -j - y. Calculate the remainder when (-25)\/(-1)*j\/10 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 39*d**2 - 16*d + 35. Let r be b(20). Calculate the highest common factor of 115 and r.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -386 + 812. Let k = 679 - c. List the prime factors of k.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 11*r - 141827 + 141827 + 10*r - 25*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 8635*u**2 - 25770*u + 155160.\nAnswer: -5*(u - 3)*(u + 6)*(u + 1724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - -2*(-3)\/(-6). Let t be 36\/y + (-8)\/(-20). Suppose j - 105 = -t*j. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2821 + 4003. Is 63 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -7\/531, 0 in decreasing order.\nAnswer: 0, -7\/531, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13452724 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6361, -7168, -7907, -8572, -9157, -9656, -10063?\n\"Answer: c**3 + 28*c**2 - 898*c - 5492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*n - 1840 = 80*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -521 - b + 525 - 6*b. Let w(c) = c - 1. What is o(y) + 5*w(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 12*o - 10. Let v be q(11). Let m(h) = 2*h - 3*h + 0*h. Let i(t) = -6*t + 2. Give v*i(b) - 4*m(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 9:01 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/70)\/((48\/30)\/(-8))*(-2074331)\/8009.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c**2 - c + (-3*c + 3*c + 2*c)*(c - 2*c - c) - 1 + 1 - c**2 + (-6*c + 2*c + 2*c)*(1 - 1 + 2*c) + 4*c**2 - 15*c**2 + 12*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*n = 25, -5*h + 1 = -3*n - 6. Let j(d) = -21*d**2 - d. Give j(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3485270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 - 8721902*g - 8721901 = 0.\nAnswer: -8721901, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22087, -44172, -66255, -88336, -110415?\nAnswer: -132492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 8. Calculate the remainder when (47 - 1) + 4 + -6 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33334, 266547, 899562, 2132281, 4164606?\nAnswer: 7196439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 6. Suppose -5*i + 19 = -11. Let v(y) = 1. Let o be 1*(7\/(-21) + (-8)\/(-6)). Give i*v(q) + o*c(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 + 2*k + 20. Let h be x(0). Solve 5*u = u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.4, -3\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20268 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22200220 + -22?\nAnswer: 22200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*o = 16 - 5, 0 = 3*g - 3*o - 9. Let u be (2 - 22)\/(g\/2). What is the greatest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/(-6)*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/14)\/w)\/((w\/(w*w**(-2\/25)\/w*w*w))\/w))\/((w\/((w*w\/(w*w**(2\/3)))\/w))\/w**(-10)))**(-1\/2))**(-21) assuming w is positive.\nAnswer: w**(-11209\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124090591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 9 = 14*v. Sort -4, 0, v, 1776.\nAnswer: -4, 0, v, 1776","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 16) to base 8.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 - -0.9. Which is the second smallest value? (a) s (b) -0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*f**3 + 1378*f**3 + 1033*f**3 + 332*f**3 + (-2*f**2 + 0*f + 0*f)*(-2*f + 4*f - 3*f) to the form m*f**3 + z*f**2 + q + d*f and give m.\nAnswer: 2785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5635 and 8755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*m - 60. What is the hundreds digit of 7\/m + (-797)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/6 + -1 - -1. Let m = 46168 - 46168.1. What is the second smallest value in n, -4, 0.4, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**7\/5040 + 13*c**5\/30 + c**2. Let x(f) be the third derivative of a(f). Let s(m) = -15*m**2. What is x(s(o))?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + w - 50 = 0, -2*f - 2*w + w = -17. What is the least common multiple of (0 - -1) + -16 + 21 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -721 - -1077. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-42))\/(576\/(-10080)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mbbbmbbb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 20 + 10. Suppose -n*w - 6*w = 24. Suppose 0 = -4*y + 7 + 13. Put y, w, 1 in increasing order.\nAnswer: w, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from ypyeyxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*j*y + 5*f**2*y + 2*f**2 - j*y - j - 5*y wrt j.\nAnswer: 2*f**2*y - y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m, 5*a - m - 942 = 1587. Let b = 556 - a. What is the highest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/187878 and 131\/1513884.\nAnswer: 261901932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/1600*-20*25*7\/5?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 12?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 21 = -5*u, 3*u + 12 + 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 5. Let u be t(4). Suppose 3*f - 24*h + 261 = -2*h, 4*f - 28 = -2*h. Solve -u = -k - f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407757 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54360 is divided by 1326?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135308197?\nAnswer: 131, 1032887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 11*f**2 + 28*f + 3. Calculate k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (60 - 25) + -84?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238.13 + 0.13. Let y = j + 241. Which is the closest to 0.1? (a) y (b) -12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1011001011101?\nAnswer: -1011001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.34, -103, 5, -4, 1\/5 in increasing order.\nAnswer: -103, -4, -0.34, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/90 + 4*w**3\/45 - 4*w**2\/15 + 7*w. What is a in v(a) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16368309 is divided by 793.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.224067 * 0.3.\nAnswer: 0.0672201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 3. Suppose 2*m + 3*m = 10. What is the highest common divisor of b and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42966609 to the nearest integer?\nAnswer: 6555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-11) - 12\/12. Which is the second biggest value? (a) 1 (b) -2\/7 (c) n (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let x(k) = -13 + 7*k + 8 + 4 - 5*k. Give -4*b(z) - 3*x(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917.176ml in litres?\nAnswer: 2.917176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -1\/4 (b) 2 (c) -1\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27.1, -0.4, -2\/3, 2200 in descending order.\nAnswer: 2200, -0.4, -2\/3, -27.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 7*z - 0*z. Which is the closest to z? (a) -26 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiyyiii. Give prob of sequence iiy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 360033761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8082691.\nAnswer: 8082691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4 + 2*l**2 + 0*l**3 - 2\/5*l**5 + 3 + 2*l. Let p(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/88820 and -93\/89175280.\nAnswer: 89175280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -122\/9, 4\/7, -5?\nAnswer: -122\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 75*l**2 - 570*l - 24. Determine n(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071522315 to 5 dps.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:22 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 > -59\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -35*a + 2. Let h be u(2). Let k be (-2 + 8)*(-35)\/21*3. Let r = k - h. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**2 - 995*d + 1326. Calculate j(123).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 0)*2 - 3. Suppose -2*m = 2*x + 8, -x - 2 - a = 2*m. Is 13 a factor of ((-26)\/x)\/((-2)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/236? (a) 1\/5 (b) 0.3 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3813244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:47 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 400928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let z(m) = -60*m**2 + 7*m + 7. Let d(u) = 40*u**2 - 5*u - 5. Let f(j) = 7*d(j) + 5*z(j). Calculate f(r(l)).\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1391 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 2*m - 4. Let f be y(3). Let l(r) = r + 1. Let q be l(f). Suppose -2*g + q*g = 6. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 3. Let b be d(0). Let h = -0.9 + 1. Let n = 58 - 292\/5. What is the closest to n in -1\/3, b, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 - 19 = 0. Suppose 3*j = 6, 79 = 4*u - f*j - 197. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26985 - 26985 + 19648*y in the form p + i*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*j + 6, 1119*j = 2*t + 1121*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 1, n: 2, l: 8}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556808724.\nAnswer: 2, 3, 59, 262151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (-9 - -26 - 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 < 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) -3 (c) 3 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16.198*1.3\nAnswer: 21.0574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 4*q**2 + 2. Let t be h(-3). Let a = -11 + t. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s + 4*v = 152, -5*s + 3*v + 158 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*b**2)*(20367 + 2556*b - 20367).\nAnswer: -7668*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1998*l + 198319 - 198319 as g + h*l and give h.\nAnswer: -1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poo when three letters picked without replacement from {e: 2, p: 3, o: 3, k: 3, l: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.133 and -576.06.\nAnswer: -76.61598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 209412530\nAnswer: 209412533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172887845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**2 + 3*t**2)*(252 + 19*t**2 - 252) + 589*t**4 - 199*t**3 + 7*t**2 - 7*t**2 + 199*t**3.\nAnswer: 608*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2811 + -1534. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r - 309. Let q be z(-18). Suppose 29 = 4*b + 3*n, 2*b + 3*n = 13 + 6. Sort -7, b, 2, q in ascending order.\nAnswer: -7, q, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -70. Suppose 0 = 5*l - t - 1659, -827 = -3*l + 2*t + 174. Let r = l - 318. What is the remainder when d is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289.5 + 297.5. Let i = 0.31 + 2.09. Let t = 2 - i. Which is the second smallest value? (a) j (b) t (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3170.9, -1, 0.7, 3, 0.3?\nAnswer: 3170.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q = -38*q + 1020 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/14)\/((-2)\/7). Suppose -x*m + 103 = -3*n, 6 - 27 = -m + n. What is the greatest common divisor of m and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 0.74910278\nAnswer: 17.97846672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 41*v\/3 + 38.\nAnswer: (v + 3)*(v + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {z: 6, t: 3, y: 2, r: 2, h: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86907863 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -75*a - 3225. Let p be j(-43). Let o(n) be the third derivative of 1\/240*n**6 + 0*n - 19*n**2 - 1\/16*n**4 + 1\/30*n**5 + p - 3\/2*n**3. Factor o(r).\nAnswer: (r - 2)*(r + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 15 - 13. Suppose 0 = 2*n - 8, 2*x - 3*n = -2*n. Let h = x + 2. Solve -h = 3*j + j, -j - 17 = -p*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 - 4 = 0. Let i = -7 - v. Let s = -0.9 + 0.7. Which is the nearest to i? (a) s (b) 0.4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000775984 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 8. Let a be c(-6). Which is bigger: a or 10\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5664 - 9440. Let o = 41584\/11 + w. Let s = -3\/1058 + -32263\/2116. Calculate the common denominator of o and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:47 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 174, 223, 274, 327, 382?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 - 11 = 0. Which is the second biggest value? (a) r (b) -1\/11 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - 3*j**3 + 4 - 4 + 6*j**4 + j to the form d*j + q*j**4 + k + w*j**3 + v*j**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2 - 928*n - 7472. Give i(-8).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-5))\/((-3297)\/10990).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461784469.\nAnswer: 29, 977, 51593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*o + 2*n, -5*o + 4*n + 3 = -11. Let q be (1 - (o - 3)) + 0. Suppose q*w = w + 11. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. What is the second derivative of 6 - 5*y**4 - 3 + 2*y - q wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 87*p + 1046. Let m be k(-12). Suppose 5*v - 3*g - 2 = 33, 5*g + 41 = 4*v. Suppose v*f = -3*r + 1092, f + 532 = 3*f - m*r. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 335777 - -7?\nAnswer: 335781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 9, 1035 in increasing order.\nAnswer: -7, -5, 9, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/104279864 and -61\/11336.\nAnswer: 104279864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12100172 + -0.121. What is u rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*q + 970 + 298, -2*v - q = -500. What is the highest common factor of v and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46642 = -350*f - 203*f - 100*f - 13992 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884 and 131282619.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -979 (b) 1 (c) -2\/11 (d) 1\/3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1327728 by -27661.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*t - 59 = 4934, -2*t + 993 = w. What is the remainder when w is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1880072661 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/11))**(-3\/8) assuming q is positive.\nAnswer: q**(-39\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 175031.11 to the nearest one thousand.\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 0 + 4*i - 9 + 6. Let p be d(3). Let g be 16\/(-18) - 6\/(-27). Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196884 + 351161. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(363) + 3 + sqrt(363)*-1 + 3 + -4*(sqrt(363) + 1)*3)*-5)**2.\nAnswer: 1425600*sqrt(3) + 47077200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1078446, -1078374, -1078302, -1078230, -1078158, -1078086?\n\"Answer: 72*h - 1078518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450.1 - -446.134. Let j = -0.034 + f. Which is the fourth biggest value? (a) 1\/4 (b) j (c) 7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15606 - 15594. Let p = 14 + -1. Is p not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2594 - 2419.21. What is b rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*s - z + 8, -4*s - 2*z = -16. What is the common denominator of ((-59)\/(-2))\/(4 - s) and (-6)\/2 + 42\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**6\/75 + 314*v**5\/25 - 16537*v**4\/5 + 196564*v**3\/15 - 97969*v**2\/5 + 23*v - 5. Solve o(g) = 0 for g.\nAnswer: 1, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 15. Let j be f\/10 - (-5 + 119749885\/(-25)). Round j to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q**2 + 8*q + 1. Let v be m(5). Solve -2*l - 6 = -v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 52*b + 87. Give n(52).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/(-328))\/(36\/(-264)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let d(a) be the second derivative of 9\/2*a**2 - 2*a + 0 + 1\/2*a**3. Let r(g) = -g - 4. Let b(n) = 4*d(n) + 9*r(n). Determine c(b(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 250 = 3*j - 128 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - r = -3, 11 = -4*o - 3*r - 0*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 5*v + 1. Let s(t) = 3*t**2 - 6*t. Let g(n) = 4*k(n) - 5*s(n). Let d be g(-10). Solve -q + d = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52896 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 1 - 3. Let a be 34 - p\/(-2)*4. Let l = 84 - a. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)\/(-39 - 26488\/(-679)). Solve 107 - y = -10*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 39126?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*((sqrt(2299) + -1 + sqrt(2299) + sqrt(2299) + -1)*-2)**2 + -3)*-2.\nAnswer: -662264 + 4224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332549*v**2 - 166371*v**2 - 2*v**3 - 166223*v**2.\nAnswer: -2*v**3 - 45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.02 to the nearest integer.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*o + o - 2*c, -c = o - 16. Suppose 11*u + o - 50 = 0. Solve -18 = 4*j + 2*a, 13 = j - 5*j + u*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1868\/(-50))\/(402\/1005). Is d greater than -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 0.5 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24129\/5 + 4866. Let z = -40 + v. Sort z, -188, 2\/9 in decreasing order.\nAnswer: 2\/9, z, -188","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -77.3. Let r = 6 + v. Let h = -0.3 - r. What is the closest to -1 in -3\/5, 2\/5, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 194, 647, 1532, 2993, 5174, 8219, 12272?\nAnswer: 17477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, 9, 4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2708 - 2627 = -9*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 14 + 1)*(4*p - 7*p - 4*p)*(24 - 24 + p) as w*p + g*p**2 + d and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t + 5200000. Round t to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9669 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2912841 minutes to hours.\nAnswer: 0.004854735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/25, -0.1, 4, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 116341548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 take away 6292.26365?\nAnswer: -6116.26365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6205 = -5*h + 4*t + 6243, -t = 4*h - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/22))**(-4\/21)\/((f*(f*f**(-29))\/f)\/(f\/(f*f*(f\/(f*f\/f**(-40)*f))\/f))) assuming f is positive.\nAnswer: f**(768\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -0.5 (c) -1.1 (d) 2\/13071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/105)\/(9*(-8)\/(-60)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)*(12 - (-5 + 16))*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -39 + 1147*v**2 + 2563*v**2 + 19 + 20. Let m(n) = -2*n**2. Give j(m(i)).\nAnswer: 14840*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483748224 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -27*b - 42. Is d(-6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*2)\/(218\/109). Sort 0.3, -2, v, -3\/4, 0.4 in ascending order.\nAnswer: -2, v, -3\/4, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -640 + 643. Suppose -3*u = f - 3*f + 251, -3*f - n*u = -399. What is the remainder when f is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 24*t - 35. Let q be u(10). Solve 4*n + 16 = -b - 0*n, 0 = 5*b + q*n + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*a**2 - 741*a**2 - 2408*a**2 + 1 - 2*a.\nAnswer: -2610*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5270)\/620 - 28\/(-2)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*k = -38, -8*f + 2048 = 2*k + 2008 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 19 + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-43 + 1)) + (-13 - -15). Let g be 223*(-1)\/(-2 + -3). Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**19*d**(-28) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1157*b**2 - 227929*b - 61. What is q(197)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (12 - 4)\/(-4). Suppose -2*b = -5 + 3. Sort b, 4, h, -1.\nAnswer: h, -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.055 + -3.054988265. Round t to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 12. What is the fourth biggest value in 4\/7, -0.4, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-1)*(-3 + 168\/72).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 7*o - 6. Let h be r(-5). Solve b = -3*p + 2*b + 4, -h*p - 4*b + 32 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 + 8 + 4*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 3, g: 3, y: 4, h: 7}. Give prob of sequence ybyx.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5482, 10974, 16470, 21970, 27474, 32982, 38494?\n\"Answer: 2*n**2 + 5486*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575912 divided by 71989.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -84*n + 1. Let j(p) = 2*p**2 + 4*p - 1. What is the remainder when o(-1) is divided by j(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 1.2. Let m = -1 - 4. Let r = 3 + m. What is the nearest to u in 2, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*12 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-4))\/m*m\/(m\/m**(-1)*m)*m*(m*m**(-3\/7))\/(m\/m**(-1\/2)) assuming m is positive.\nAnswer: m**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (0 + -1) - (5 - (25 - 12))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49788 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -690 - -11111\/16. Calculate the common denominator of -103\/10 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j**3 + 4061*j**2 - 40592*j + 8820 = 0 for j.\nAnswer: 2\/9, 10, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*d + 2 - 2 + 3)*(3*d**2 - 2 + 2).\nAnswer: 87*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/9 or -0.5?\nAnswer: -68\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011110100111101 (base 2) in base 4?\nAnswer: -1303310331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9\/4, 2, 0.97 in ascending order.\nAnswer: 0.97, 2, 9\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(((-18)\/(-4))\/3). What is the tens digit of -2*z\/(-10) + (-4816)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8020*0.055.\nAnswer: 441.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 - 14*j**2 + 30*j + 2224 with respect to j.\nAnswer: 8*j**3 - 28*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 296, 314, 340, 374?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7697332 is divided by 1924332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 5. Suppose -4*l + 3 = -d. Suppose -l*s - 5*t + 15 = 0, 40 = 2*s - 3*t - t. What is the greatest common factor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104\/61 - -7\/183. What is the nearest to k in 3\/5, -9.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 o, and 1 u when four letters picked without replacement from {c: 4, q: 3, j: 2, u: 2, y: 2, o: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*u**4 + 43*u**4 - 51*u**4 + (-3 + 3 + 1)*(u + 2*u**4 - u) as y + k*u + h*u**2 + f*u**3 + d*u**4 and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from gqqgg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 + 1160\/(-36). Let u = t - -60. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26796 and 51744.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 111 + 71 = 0. Let l(c) = c**3 - c**2 - 3*c + 1. Let v be l(3). Solve -b*w + 17 = -5*x, 6*x - x - v = -5*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -274 (b) -234 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -17. Find the second derivative of 8*v - 6*v + 5*v + v**h - 3*v**5 wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.12 - 2.82. Which is the closest to -1\/2? (a) 2\/45 (b) d (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3735318 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -827\/9. Let p be (-164)\/52 + 2\/13. Put p, l, -2\/3 in decreasing order.\nAnswer: l, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 572*t**2 - 5230*t + 558. Calculate q(581).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 1035, 3233, 7519, 14589, 25139, 39865?\nAnswer: 59463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 5*c - 2*c)*(-1 - 1 + 7) + 1 - c - 1 + (3*c - c + 3*c)*(-1 + 1 - 3).\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2136, 2138, 2158, 2202, 2276?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 0*k + 37 - 24 - k + 201 as m + s*k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119475 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 278, -6, 5, 9 in decreasing order.\nAnswer: 278, 9, 5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-7 + 0 - (-19 - -18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaei when four letters picked without replacement from {a: 8, e: 4, i: 2, v: 1, s: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 75*i - 1146. Does 49 divide k(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 100012000202?\nAnswer: -100012000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 390*o**2 + 133920*o + 5754240.\nAnswer: -5*(o - 222)*(o + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 7, w: 4}. Give prob of picking 3 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 18 + 3 - 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50998 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 42 = -4*m, 7*q - 4*q - m - 28 = 0. Suppose -842 = -2*y + 2*g - 0*g, -q = 2*g. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 105, 153, 199, 243?\n\"Answer: -y**2 + 53*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -337*g**4 + 3*g**3 - 27*g**2 + 1341014*g wrt g.\nAnswer: -4044*g**2 + 18*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5361 + 0.4639. Let r = 152\/3 - 50. What is the nearest to -2 in n, r, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127\/13 + -3097\/325. Suppose -w - 4 = 3*v - 0*w, -5*v - 8 = 2*w. Are v and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -3, -4, 1\/4, 0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193863861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 11*v + 29. Determine b(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 4*k + 2*k)*(-1 + 2 - 2) + (-4*k + 0*k + 5*k)*(0 - 1 - 1).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(480)*2)\/((sqrt(100) - -2*sqrt(100))\/sqrt(10) - sqrt(10)) - (-1 + sqrt(363)*-1 + sqrt(363)*2*3))**2.\nAnswer: -101*sqrt(3) + 30607\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6900 and 450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.66 and 80990846069?\nAnswer: 80990846058.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -178979, -91 in increasing order.\nAnswer: -178979, -91, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 47.1. Let x = -16 - -11. Let r = u + x. What is the closest to r in -5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3)**(6\/13)*(m*m*((m\/(m*m\/(m**(-6)\/m)))\/m)\/m*m)**(-30) assuming m is positive.\nAnswer: m**(2748\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/180 - s**3\/2 + 5*s. Let i(f) be the second derivative of z(f). Let o(h) = -580 - 4*h + 580. Determine o(i(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/(-110) + (-2)\/5 and (1833\/(-130))\/(-4 + 10).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 + 61 = -77*s. What is the closest to -1.5 in 0.1, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1093900?\nAnswer: -1093900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46 and -1.331.\nAnswer: 0.61226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 17 - -84 - 12 - 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.637456113 to four dps.\nAnswer: -5.6375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 11*t - 11 + (-t - 2*t + 2*t)*(-1 - 1 + 4) + 3*t + 2 - 2 + 0*t + t + 0*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p. Suppose 2*v + 5*a - 20 = -p, 5*v = -2*a + 8. What is the smallest value in -7, v, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -59 and -24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -8 + -6)\/2. Suppose -u = -5*u + 20. Let m = u + -6. Which is bigger: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 3:01 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(294) - (sqrt(294)*-1 + sqrt(294)))*-6 + (sqrt(36)\/(sqrt(6)*-1))\/(1*sqrt(3)*-4).\nAnswer: -17*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 10 = -606*d + 604*d, 5 = -5*a - 5*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 + (23 - (-3080)\/(-35)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 411661 = -2*l. Let s = l + 741661. Round s to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 1, 2 in decreasing order.\nAnswer: 2, 1, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 8*b**2 + b - 8. Let x be w(8). Solve 4*n = z - x*z - 12, 5*n = -20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, g: 2, c: 3}. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/((-14)\/147). Let s = 26 + x. Let p be (220\/(-8) - 1)*20\/(-6). What is the greatest common divisor of s and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8701.9 rounded to the nearest one hundred?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -430.1 less than -1.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpzh when four letters picked without replacement from {p: 2, y: 2, z: 3, g: 1, k: 4, h: 2}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 688021969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8228 and 117612?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/9 + 380*s**4\/9 - 17848*s**3\/9 - 72944*s**2\/9 + 565504*s = 0?\nAnswer: -16, 0, 18, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**3*k**4 - 18*a**3*k + 68909*a*k**4 - 11600*a*k**2 wrt k.\nAnswer: 120*a**3*k + 1653816*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2 - 4*j - 4. Let t be z(-2). Let y(n) = -n**2 - 19*n + 29. Let v be y(t). Solve 0 = 3*i - v, -6*i + 35 = 5*h - i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-9 - 5)) + (12 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 278570 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/15))**(-2\/61)*z**(-12\/5)*(((z\/(z**(-7)\/z)*z)\/z)\/z)\/z assuming z is positive.\nAnswer: z**(841\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4312 - 8625\/2. Is 6\/1061 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**3 - 4 + 4)*(13 - 13 + 2*s) - 3*s**4 + 2*s**4 + 0*s**4)*(9*s + 5*s - s).\nAnswer: -39*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 16\/3*t**3 + 31\/6*t**6 + 0*t**4 - 197*t + 0 + 0*t**5 - 1\/2*t**2. Find the second derivative of u(n) wrt n.\nAnswer: 1860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/41 + -310\/779. Let s = -5 + 5. Which is the third smallest value? (a) s (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 5\/8*w**6 + w**3 + 0*w - w**2 + 0 - 9\/70*w**7 - 21\/20*w**5 + 3\/8*w**4. Factor h(j).\nAnswer: -3*(j - 1)**3*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3919*f**5 + 1959*f**5 + 220*f + 1963*f**5 + (-3*f**3 + 4*f**3 - 3*f**3)*(-f**2 + 2*f**2 - 5*f**2).\nAnswer: 11*f**5 + 220*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 - (1 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8998?\nAnswer: 2, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-42) - (-39)\/18. Suppose -c = -q*g + 434, -5*g + c - 2*c = -1092. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = 18*b + 150. Solve 5*o - b + 1 = -2*f, -4*o + 5*f = -22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332990 divided by 66598.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 27 = 3*z - 2*b, 0 = -4*z - 2*b - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 6 - 4. Suppose -2*o - 6 = -5*o. Let h(p) = 4*p**y + p**2 + 0*p**o. What is h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**0))\/(m\/(m*m**5*m*m)*m))\/(m*m*m\/m**(-5)*(m\/m**(1\/8)*m*m)\/m)*m**(-3)*m*m\/(m\/m**(-2\/7))*(m*(m**1*m)\/m*m)**(-5\/2) assuming m is positive.\nAnswer: m**(-709\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - -4*(1 + 0). Suppose 819 = -7*q - 32*q. Sort q, 4, v in descending order.\nAnswer: 4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108021 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01129445043 to 4 dps.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60764 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.579 - -2.479. Let j be (-3)\/15 - (-93)\/15. Let b be (-2)\/3*(-4)\/j. What is the biggest value in 4, b, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-99)\/(-21) - 4\/(-14). Suppose 0 = -3*p - 2*g + g + 46, -m*p - 4*g = -72. What is the greatest common divisor of p and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 245 (b) -1 (c) 9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5698 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93777*k**2 + 93774*k**2 - 280546*k**2 + 92994*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489 + 545 = 7*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**2 + 347*p + 60. What is the units digit of f(34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 2*z - 2*z)*(-z - 2*z - 2*z)*(3 - 4 + 5) to the form n*z**2 + d*z + o and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3394\/7 + 486. Are 231 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1614 + -257?\nAnswer: -2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2507\/93 and 27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7*c = -3*i + 5814, 0 = 4*i - 3*c - 7750. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10586, 10603, 10620, 10637?\nAnswer: 10654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (924\/(-196))\/(242\/(-4158))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n. Let r(q) = q**2 + 20*q - 43. Let v be r(-22). Which is the nearest to n? (a) v (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35720517 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (68\/(-6))\/(173840\/9660 - 18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*s + 210 - 197, -s - 4*q + 11 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*(-20468338)\/(-8 - -19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 18. Let m = 0 + o. Suppose -143 + 3 = 385*z + 245. What is the closest to 1\/2 in z, m, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 + s. Let d be -5*1*(-3)\/5. Suppose 0 = 2*g - d*g + 1. Calculate f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/20)\/(4\/(-350)*(-1545)\/309)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -9*y - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.075015 + 0.09675. What is q rounded to 4 dps?\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361095 > 3361095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.4295 less than 5?\nAnswer: -290.4295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.072 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2 + (0 - 4 + 3)*(0 + 4 - 2) + 2 - 2 - 4)*(256*t + 148*t**2 - 131*t - 122*t).\nAnswer: -1036*t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnii when four letters picked without replacement from iinnini.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-14) + (-8)\/(-56). Let y be 72\/(-84)*1\/3. Is y at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 397*d - 440*d. Solve -3*p + d = 2*j - 5, -10 = -5*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44, -2, -18.\nAnswer: -44, -18, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/434)\/(40\/35)*5*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148976*0.91.\nAnswer: 135568.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2720\/30)\/(-17)*162\/(-756)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/15)\/(24\/20))\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 800. Let l be a\/(-12)*(-3)\/2. What is the units digit of l\/55 - (-2)\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k - 7*k = 14*k - 378*w - 1170, 9 = -5*k + 5*k - 3*w for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 659071 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40483282 times -0.8?\nAnswer: -32386625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7972*k - 55797. Let q be w(-7). Let x be 1*(-2)\/2 + 1. Solve 0*y - 2*y = r + 5, x = -r - 4*y - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/6)\/((-13)\/((-702)\/(-36))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from {c: 2, j: 4, x: 1, s: 3, i: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 942.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*l**2 + 44 - 254*l**2 - 29 - 15.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -132, -4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874976 minus -0.2?\nAnswer: -1874975.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k**2\/17 - 20*k\/17 - 2\/17 = 0. Calculate k.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - 2*n**2 + 0*n**2 + 5 - 5 + 3*n**2 + (10*n - 352 + 352)*(-3*n + 3*n + n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 + 2*p**2 - 1. Let y be f(-1). Suppose -18 = y*q + 2. Let t(k) = -k**3 - 2*k**2 - 6*k - 5. Is 17 a factor of t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754676858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 2*m**2 + 10*m + 1. Let h be u(-3). Let n = 59 + -60. What is the fourth smallest value in n, -2\/7, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 41 = -4*g, -5*g = -2*m + 25. Suppose -2*s + 77 + m = 2*i, s + 4*i = 34. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-h**3 + 0 + 0) - 5*h**3 - h**3 + h**3 + (-22*h + 2*h + 10*h)*(-h + h**2 + h) + h**3 - 1 + 1.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = 0, z - 8 = -4*t + 9. Let f = z - 3. Solve 4*d - 2*d = f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*z + 58*z + 107 = -4282 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6100*a**2 - 6100*a**2 + 6*a + a**3.\nAnswer: a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**4\/12 + 11*r**3\/6 - 3*r**2\/2 - 4*r. What is the remainder when d(9) is divided by ((-15)\/6)\/((-1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 1844848*c + 7379424.\nAnswer: -2*(c - 922428)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6720.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 229100 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 - 969*j + 307320 = 0. What is j?\nAnswer: -520, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 + 8*k**4 - 34*k - 15*k**3 - 90*k - 29*k**3 - 198*k**2 + 54*k**2.\nAnswer: 4*(k - 8)*(k + 1)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*d**2 + 6*d**3 + 110*d**2 - 14*d**3 + 7*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - -122949832798\nAnswer: 122949832797.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.1 (c) -0.6 (d) -0.5 (e) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 4275*r**2\/2 + 6091875*r\/2 + 2893640625\/2.\nAnswer: (r + 1425)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(315)\/sqrt(7) - -2*sqrt(45)*-5)*-1*3)**2 + 4.\nAnswer: 103684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2034870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 4 (b) -0.001 (c) -3 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 102*f**2 + 93*f + 17. Give v(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 3:55 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.5 + 8.5. Sort d, 3, -6 in descending order.\nAnswer: 3, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.2 - 7. Let i = 4 - 0. Let a = -8276 + 8271. What is the closest to u in 0.5, a, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 28*i**4 + 38*i**4 - 2*i**2 - 5 to f*i**3 + q*i + b*i**4 + d + z*i**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171\/(-36) + (-1)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79241405 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 35\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:02 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -77, 0.3, 7, 3 in descending order.\nAnswer: 7, 3, 0.3, 0, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209*v**4 + 10*v + 3 wrt v.\nAnswer: 2508*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1226\/13 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*(((t*t**43\/t)\/t)\/t*t)\/t*t)\/t)**(1\/13) assuming t is positive.\nAnswer: t**(43\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 466 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*a**2\/6 + 67*a\/6 + 1\/3 = 0. What is a?\nAnswer: -1, -2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-170)\/(-51)*6\/4. Solve -k*v - 2 = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1589332743 to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 + 386*k**2 - 16*k + 18*k - 3*k.\nAnswer: 401*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 19. Suppose 7*h = k*h + 30. Solve -q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 4*q - 2. What is the remainder when 105 is divided by f(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2360 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -439490 take away 423319.6?\nAnswer: -862809.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.94392 meters?\nAnswer: 0.00894392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkokkkokkkokko. Give prob of picking 3 k.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 623? (a) -2 (b) 3 (c) -3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 12026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2 - 79*t + 154 = 0. Calculate t.\nAnswer: 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*o**2 + 3*o**3 + 2*o**3 - 245*o + 98 + 12*o**2 - 253 - 145.\nAnswer: 5*(o - 4)*(o + 1)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232 - -614. Suppose -f = f - z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765168 and 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 5. Let x(r) = -r**2 + 4*r + 5. Let u be x(f). Solve 5*w = -0*p + 2*p + 23, 2*p - w + 11 = u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477.388 rounded to the nearest 10?\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d - 64. Let o be n(5). Let c = -23 + 22.6. What is the biggest value in c, o, 2\/5, -5\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c + 2. Suppose 0 = -4*g + 11 - 3. Let a(p) = -13*p + 3*p - 3*p - 8. Determine g*a(q) + 9*d(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1688 divided by 4\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053085 plus 0.3?\nAnswer: 0.353085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3 - 88797*a**2 + 2321*a - 24.\nAnswer: 6*a - 177594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3317 - 3313. What is the nearest to 4\/5 in 2, -7, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50502 and 1178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 18. Suppose 9 = -5*n - 3*h, 5*n = h + 3*h + t. Suppose n = s + 3*a - 2*a - 81, -s + 85 = 3*a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 49492934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 - 132. Suppose -l*u + 1720 = -85*u. List the prime factors of u.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 2*s - 2*s)*(0*s - 6*s + 4*s + (-s + 8*s + 2*s)*(-2 + 2 + 3)) - s**2 - s + s in the form c*s + r*s**2 + b and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-1\/53)*u\/(u\/((u\/u**(-3\/2))\/u))*u assuming u is positive.\nAnswer: u**(475\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -34. What is the lowest common multiple of o and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.489 nanograms in kilograms?\nAnswer: 0.000000000972489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 16. What is the remainder when 30 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1001*p**4 + 571*p**4 + 517*p**4 + (-1 + 5 - 3)*(4*p**4 - 2*p**4 - p**4) - 3*p**4 + p**4 + p**4.\nAnswer: 87*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1204860 and 23817.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1875 = 4*b + b, -5*b + 930 = q. Suppose 5*f + i + 0*i - 959 = 0, -5*i = -5*f + q. What is the remainder when f is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 507*g**6\/10 + 248*g**2 + 27*g + 5. What is the first derivative of j(s) wrt s?\nAnswer: 6084*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/63*-2)\/(11\/(11\/(-2)))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171388 divided by -42847?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(4536)\/sqrt(4) + sqrt(14))\/(sqrt(4)\/(5*sqrt(2))))**2 + -4.\nAnswer: 21171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.86 - 21.89129. What is k rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 32 - 26 = 0. Let h(j) = j**3 + 5*j**2 + 5*j. Let g(k) be the second derivative of k**5\/20 + k**4\/6 + k**3\/3 + 6*k. What is f*h(s) + 5*g(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -11*t + 9*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 + 4*c**3\/3 - 4*c**2. Let f(a) = -a**2. What is f(p(u))?\nAnswer: -u**4 - 16*u**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 <= -52854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*r**2*t - 2*g*r**2 + 12*g*r*t + 3*r**2*t + 2*r**2 + 11*r*t - 16*r wrt r.\nAnswer: -6*g*t - 4*g + 6*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 - -128.5. Suppose -3*v - 5*p - 30 = 0, -3*v - 38 = 3*p - 14. Let y(x) = x**2 + 4*x - 6. Let k be y(v). Put k, -2\/19, w in descending order.\nAnswer: -2\/19, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 + -165. What is the third derivative of b**4 + r*b**2 - 7*b**3 - b - 4*b + 7*b wrt b?\nAnswer: 24*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 3 + 0 + (64 + 70 - 6)*(0 + 2 - 1))*(r**2 - 4*r**2 + r**2) in the form f + p*r + j*r**2 and give j.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3975*l**4 - 1908.\nAnswer: -15900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*21\/(-9))\/(448\/(-1152)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2\/87, -1, 0.6, -6, 2.\nAnswer: -6, -1, 2\/87, 0.6, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/63 and -2\/217?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -0.261704?\nAnswer: -0.038296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107208 and 728986907.\nAnswer: 728879699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21300202 (base 4) to base 11.\nAnswer: -28037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22614 is divided by 234?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**2\/23 + 51722*p\/23 + 12930\/23.\nAnswer: 2*(p + 6465)*(4*p + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*p - 0*p, 5*w - 2*p = -597081. Let r = 63417 + w. What is r rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 3*q**4 + q**4 - 8*q**4 + 16*q**4 - 1 - 14*q**4 + (-4*q + q + 5*q)*(0*q**3 - q**3 + 3*q**3) + 3*q**3 + 4*q**4 - 3*q**3.\nAnswer: -q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2176545961 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*h**3 - 34*h**3 - 5 + 9 as a + v*h**3 + n*h**2 + u*h and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h + 11. Let u(n) = 24*n - 20. Let d(z) = -5*t(z) - 3*u(z). Let s(q) = -25*q + 7. What is -7*d(x) + 5*s(x)?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 879785712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-27) - 4\/(-18). Solve v*x - 8 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b**4 + 10*b**4 - 23*b**4 + (2*b + b - 4*b)*(2*b**3 - 3*b + 3*b).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let v(s) = 11605*s**2 - 26. What is k(v(l))?\nAnswer: -11605*l**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126\/11 - 745\/66. Which is the biggest value? (a) 8 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q - 3*v, q + 3*v = 14 - 2. Solve -19*u + q*u - 60 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005743407 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 + (4 - -60). Suppose -4*h = -2*p - 1032, -2*h + 589 = 3*p + g. Let l = h - 124. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4604 = -4*i, -3*a = 2*i - 0*i - 2302. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337822 + 2*b**2 - 337805 + 1013520 - 337893.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 693491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0569 to 3 dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/6)\/(28\/(-654)). Let b = 38 - w. Calculate the common denominator of -85\/6 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -30. Solve 4*f = -3*c + 23, 5*f - 20 = -2*c - b*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 11*f - 9. Let h be 1\/3 - (-22)\/6. Let n(v) = v**2 - 5*v + 4. Suppose 27 = 8*r - 5*r. Calculate h*w(a) + r*n(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 83.65047 centimeters?\nAnswer: 0.0008365047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 30 = 11*g. Suppose -d - 2*j + g = 0, -3*d - j = -0*j - 5. Let k = 5 - d. Solve -4*b + k = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 > 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 742611835.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000020791 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 70 + 21*n + 2*n.\nAnswer: 19*n + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*l, i = -i - 2*l. Let p be 11 - (-1 - i\/(-2)). Let d be p\/9*6\/(-4). Which is the second biggest value? (a) 0 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 0, 157, 15 in decreasing order.\nAnswer: 157, 15, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = -10. Let z be 173\/i - (-2)\/5. Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-721)*821\/5747.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 - c**2 - c + 1. Let m be n(1). Suppose 4*y + 132 = -3*k + 8*k, k - m*y - 33 = 0. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1936\/9680)\/((-14)\/(-6)))\/((-3)\/(-40))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1242469, 4970085, 11182785, 19880575, 31063461, 44731449?\nAnswer: 60884545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4777 - 126?\nAnswer: -5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/379, 1, -1, -2\/5, 2\/13 in ascending order.\nAnswer: -1, -2\/5, 1\/379, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8037 + 15298. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to 2\/78201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -39*c**2 - c - 1. Determine x(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*h + 889*h + 1001*h = -520*h - 149250 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 347250.7077 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**5 - 60*m**4 - 194*m**2 - 2*m wrt m?\nAnswer: 300*m**2 - 1440*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -1869?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7222 = -104*o + 106*o. Suppose o = 267*h - 266*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 37*o + 317. Give p(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1510*y = -631*y + 128202 - 14729 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 150, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-33)*u*u))\/u*(u*u**(1\/5))\/u*u**(2\/37)*u*u\/u**(-40)*u)**(-4\/3) assuming u is positive.\nAnswer: u**(-54208\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 + -126.3. What is the second biggest value in 1\/2, 5, 0.3, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*l + 80*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 + 115. Let y = m - -85. Let v = 9 + y. Which is the fourth biggest value? (a) v (b) 1\/4 (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -l + p + 20, -3*p + 28 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/4*(-3)\/1. Let a = -6 - -4. Let o = b - a. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b - 4. Let f be j(1). Suppose -9*k - f*k = 0. Solve k*q - p = 5*q + 10, 0 = q + 3*p + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1909*w = -1933*w + 792. Solve -26*t = -28*t + 4*b - 30, 0 = 5*t - 4*b + w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -47. Let w = y - -32. Let p = -152 - -167. Calculate the highest common divisor of p and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103339, 103303, 103199, 102991, 102643, 102119, 101383, 100399?\nAnswer: 99131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1335905503 rounded to five dps?\nAnswer: -0.13359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 0*n**4 + n**4 + (-n - 2*n + 4*n)*(-n**3 + 5*n**3 - 2*n**3).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from vvviviiiirxj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k**2 + 52*k**2 + 1 - 24*k - 16*k**2 - 23*k**2 in the form d*k + g + z*k**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 348492.8 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {l: 2, v: 3, a: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*-8.1868\nAnswer: 8.1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -647 in decreasing order.\nAnswer: 4, -2, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + j + 4. What is the units digit of c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 37*a + 7 - 22*a - 24 + 14.\nAnswer: -59*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + (-2196)\/(-108))*(840\/16)\/7?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*5*(-7)\/(-21). Let w be (-6 - v) + (-1)\/(-1). Solve -r + 5 = w, 7*i + r = 2*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 179.34 and -0.7565.\nAnswer: -135.67071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*q. Let l = q - -3. Suppose -3*b + 190 = l*b. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503584261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*m**5*o - 37887*m**2*o + m*o - 8754923 wrt m?\nAnswer: 1260*m**3*o - 75774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (1 + -14 + -82 + 91)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(-2*(sqrt(8) + sqrt(8)*1) + sqrt(8)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -18, -89, -3, 2 in increasing order.\nAnswer: -89, -18, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - -667431?\nAnswer: 667329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 11:27 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/(35\/10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**3 + 2*k**2 - 4*k + 4. Let s(b) = 7*b**3 + 3*b**2 - 5*b + 5. Let o(h) = -6*n(h) + 5*s(h). Let g be o(2). Suppose 0 = -g*l + 246 - 81. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c + 3*x + 6 = -38*c, -17*c + 47*x = 50*x - 34 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.81 + -22.81. What is the second smallest value in s, 2\/11, 0.1, -8\/25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 + 16*c**3 - 64*c + 64 = 0. What is c?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 1 = j, 2*t + 0 = j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -3, -34, 44, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2 + 7*j + 14 + 0*j**3 - 5*j**2 - j**3 - 8. Let c be a(-6). Let z = -5 - -5. Is c less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 0*c**3 - 2*c**3)*(3 - 4*c - 3 + (1 - c - 1)*(-2 + 1 + 0) - 3 + 6*c + 3 - 2 + 3*c + 2).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:44 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3*l**2 + 10*l + 6. Give b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9)*(v*v*(v*v**(1\/21)*v)\/v)\/v)\/(v**(4\/3)*v*v**(-5)*v) assuming v is positive.\nAnswer: v**(227\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662123 is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 2*h**2 - 1. Let p be z(1). Find v, given that -v**3 + 0*v**3 + 7*v**2 - 5*v**p = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -332, -339, -358, -395, -456, -547?\n\"Answer: -x**3 - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 17783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.64 and 1.391?\nAnswer: 0.89024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - t**2 - 2*t + 3. Let p(q) = -21*q**3 + 32*q**2 + 7*q - 46. Let s(a) = 2*g(a) - p(a). Find the second derivative of s(n) wrt n.\nAnswer: 90*n - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -81. Let l be 12\/x - 11\/(-4). What is the first derivative of 6*m - 4 - 6 + l wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*z**4 - 98*z**4 + 52*z**4 + (0*z**4 + 2*z**4 + 0*z**4)*(-2 + 3 + 1) - 5*z**4 - z**4 + 5*z**4 - 4*z**3 - z**4 + 4*z**3.\nAnswer: 19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/(t\/t**(-3)))\/(t**(5\/3)\/(t*t\/t**(-5)*t)))\/(((t**1*t)\/t)\/t**0)**(-47) assuming t is positive.\nAnswer: t**(166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*g**2 - 49*g**3 + 31*g**3 - 3034*g + 23*g**3 + 3034*g - 121*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 988327053 to the nearest integer?\nAnswer: 31438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 42*m**2 + 83*m - 119. Let p be k(40). Solve 9*s - p = -28 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*k*x + 4*h**2*k - 2*h*k*x**2 + 6*h - k*x**2 + 70*k with respect to h.\nAnswer: 2*h*k*x + 8*h*k - 2*k*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 + 2. Let c(z) = -159*z. Let k(j) = -137*j. Let d(p) = 3*c(p) - 4*k(p). Determine d(a(n)).\nAnswer: -426*n**2 + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 452431 - 1323?\nAnswer: 451106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5595571\/887180 + (-50)\/8.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = o + 87 + 342, -6*d = o - 506. Calculate the least common multiple of d and 119.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0 + 1\/3*g**3 + 0*g**2 - 4*g. Let d(u) = u. Give n(d(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -173*t - 2220. Determine s(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Let y(i) = 52800*i**3 - 800*i**2 + 800*i. Let n(j) = j**3 + j**2 - j. Let a(r) = 800*n(r) + y(r). Let p be a(o). Round p to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397 - -1989\/5. What is the smallest value in 33, r, 3, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2604c (base 14) to base 4\nAnswer: 112302310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen tenths of a millennium?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 630, 195, -9.\nAnswer: -9, 5, 195, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10664539 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 + 11*y**4 + 74*y**3 + 100*y**2 - 56*y - 128.\nAnswer: -(y - 16)*(y - 1)*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3908, 0.3, -2\/3, -5 in increasing order.\nAnswer: -5, -2\/3, 0.3, 0.5, 3908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11223 - 11*a + 11223.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 2:41 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 87 = -4*z. Let f be -4 - z\/4 - -5. Suppose n - f*i = -17 + 2, -n - 10 = -2*i. Solve -5*m - 3*s - 7 = n, -1 = 4*m - 2*m + 3*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12200221022 + -11?\nAnswer: 12200221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 14*f**2 - 17*f + 17. Let o(s) = -s + 9. Let t be o(3). Let g(v) = 6*v - v + v**2 - t*v**2 + v - 6. Let w = 253 + -247. Give w*u(b) + 17*g(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682 - -0.1.\nAnswer: 682.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3166 * -0.1\nAnswer: -316.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202368 is divided by 1478?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - 3*(sqrt(65)*-1 + sqrt(65))))\/(-5*sqrt(15)\/sqrt(3) + sqrt(5)) - (sqrt(117)\/(sqrt(54)\/sqrt(6)) - -5*-1*sqrt(13)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.49 + -5?\nAnswer: 112.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13084888*z**2 - 13088866*z**2 + 1 + 4 - 5.\nAnswer: -3978*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2 - -5 - 6). Solve -8*n + 12*n - 20 = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 4 + 6 + 4*r - 4*r.\nAnswer: -6*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37595.\nAnswer: 5, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 82746018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f. Let v(n) = -n. Let d(o) = o. Let i be 0 + (-27)\/(-4) + 96\/(-128). Let j(w) = i*v(w) + 4*d(w). Give r(j(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2323*a - 5722. Is 132 a factor of h(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 934.2416g?\nAnswer: 934241600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 6*z**2 + 2 + 9*z**2 - z**2 + z**3. Let q be g(-4). Suppose -k + 473 = -3*x, q*k - 1109 + 123 = -4*x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.022, 3.2, 1, -3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -862257 - -416555021.\nAnswer: 415692764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11946*q**2 + 33*q - 1234379?\nAnswer: -23892*q + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -74 + (1 - -13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 8:57 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*n**2 - 465*n**2 - 18*n**2.\nAnswer: -980*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573.9 rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126853563 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159868\/5 + 32161. Let d = z - 187. Is -17 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2747, 3872, 5753, 8396, 11807, 15992, 20957, 26708?\n\"Answer: i**3 + 372*i**2 + 2*i + 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/20*195\/6. Let x = r - 20. Solve x*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189677799?\nAnswer: 3, 37, 569603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.9915 and -11?\nAnswer: 153.9065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-4))\/(3\/(-4)). Suppose -16 + 23 = b + g*n, -2*b = 2*n - 38. What is the highest common factor of b and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -3*i - 2*a, 5*a + 3 = -3*i. Suppose 39*b - 36*b = -v - 9, -i*v + 4*b = -44. Solve 2*z - 4*z + v = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = a + 14 - 38, -39*d + 20*a - 27 = 23*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b - 4*k - 2, 2*k + 14 = 4*b. Suppose -b*q = -m - 2, 3*m - 12 = -0*m - 3*q. Does 10 divide (54 - 0)*m\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 20101011212?\nAnswer: -20101012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2350 and -127\/2350.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(468) + 1 + -1)*1 + 0)**2 + 4 + 4.\nAnswer: -24*sqrt(13) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**6 + 7*g**2 + 0*g**2 - 3*g**6 + 11*g**6 wrt g?\nAnswer: 2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55712, -59125, -62538, -65951?\nAnswer: -69364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 858 and 55?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 + 8 - (2 + -1). Let s = x - 18. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/(-1242))\/(4\/264)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/120 - 2*k**5\/15 - 13*k**4\/24 - 3*k**3\/2 + 936*k**2. What is q(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 10*a**2 - 6*a - 22. Let m be w(9). Let h(x) = -x**3 + 6*x**2 - 4*x - 2. Determine h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/3 + (-9)\/(-3). Let o be (-1)\/(l\/(-8)) - -7. Solve -2*c - 5*y - o = 0, 0 = -c - c + y + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 5*b**2 - 3*b - 3. Suppose 7*h = 321 - 363. What is q(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -0.028?\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvhvvcamm. What is prob of sequence ma?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263.7 - 43.3. Let p = 309 + c. Sort 6, p, -0.1, 0.5 in descending order.\nAnswer: 6, p, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (260886 + -2 - 5)*(1 + 11)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -14*f**3 - 51*f**2 + 59*f. Let c(i) = -5*i**3 + 28*i - 17*i**2 - 36*i + 28*i. Let q(s) = -11*c(s) + 4*o(s). Is q(-18) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -0*a + 12. Does 7 divide a\/(-3) - 3648\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 23*t - 17. Let d be u(8). Let i = 47 - d. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4*8\/12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*(2 - 5). Suppose -3*q - l + 45 = -2, 5*l + 37 = c*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137599141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -38. Suppose 0 = 4*r - n, -7*d + 3*d + 5*r = -67. Suppose 13*x = d*x - 15. Solve x*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*c**4 + 12*b**3*c - 15*b*c**2 - c**5 + 45*c**3 wrt c?\nAnswer: -48*b**3*c - 60*c**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = 6*d - 2*p, 4*d + 2*p = 18. Suppose -d = -3*r - 15. Let x(w) = w**2 - 6*w + 1. Let u(f) = 2*f**2 - 11*f + 2. Calculate r*u(s) + 7*x(s).\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 59 = -5*y. Let t = -27 - y. Suppose 4*w + t*w = 16. Solve 2 = -3*o + q, -1 = -q - w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/(4*(-2)\/24). Put b, 34, 3, 0 in decreasing order.\nAnswer: 34, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/2408*(-8)\/(-9).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11791 - 146*p - 11791)*(-4 + 1 + 2) + (-3 - 2 + 3)*(0*p + 6*p - p) + 4*p - 3*p - 2*p - 4*p + 2*p + 0*p.\nAnswer: 133*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 238*t - 236*t + 4, 0 = -3*v - 3*t - 9. Solve -2*a - g = -15, 3*a - v*g = 4*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5866766 at most as big as 5866768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w - 3*w**2 - w**2 + 18 - 2 - 2 - 7*w**2. Let d be -2*(38\/4 - 4). Calculate f(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -0.2, 6 in increasing order.\nAnswer: -53, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*g - g - g)*(-9*g + 30*g + g) - 66*g - 10*g**2 + 66*g in the form h + k*g**2 + s*g and give k.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, v: 1, c: 1, h: 5, n: 3, z: 1}. What is prob of picking 1 i, 2 n, and 1 c?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*w - 15 = 4*z, -3 = -w. Suppose -9 - 7 = d + 3*c, -d - 4*c - 20 = z. Let g be (-5)\/10 + 4\/(264\/45). What is the closest to -1\/4 in -2, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 938736 divided by 3\nAnswer: 312912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19642 = -4779*t - 167791 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4091\/56 + 637\/8. Calculate the common denominator of 121\/558 and x.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -91, -296, -583, -952, -1403?\nAnswer: -1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146 and 10.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from qtrtqtcrvtrctvq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/28)\/((3996\/144)\/(-37))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -3, 27, 0.16, -6964?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.8 + 9. What is the smallest value in 0.09, n, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5327066720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -15*t + 31. Let z be a(2). Are z and -7\/24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6802568139.\nAnswer: 3, 17, 133383689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645270 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20682 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -24*s + 685. Determine k(35).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -704*c**4 + 90*c**3 + c**2 + 35*c - 507?\nAnswer: -8448*c**2 + 540*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3*v - 4. Let s be g(3). Let l be (s\/10)\/(5\/50). Are l and -5\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 435*x + 1. Let s(o) = 3*o + o - 80 + 65 + 15. Calculate s(k(c)).\nAnswer: 1740*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1540 - -3081\/2. Let u(j) be the first derivative of -5*j + 4 + x*j**2. What is the first derivative of u(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 29756?\nAnswer: 29755.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12488 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72075 divided by 15.\nAnswer: 4805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -137 + 133. Suppose 4*r = -2*p + 4, 1 = 2*r - c*p + 11. Let a be -1*(-1)\/((-1)\/(-3)). What is the nearest to 0.05 in r, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 11\/35678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -115.31 * 0.2\nAnswer: -23.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -52. Find the first derivative of a - 3*l**2 + 291*l - 291*l + 22*l**2 wrt l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*j + 1482 + 8537 = -21 - 1044 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -3, -4, -0.01?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l + 4*l)*(3 - 3 + 2*l) + 2*l**2 - l + l**2 - l**2.\nAnswer: 14*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1978494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -152 + 43. Let v = -73 + l. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = -30. Let t(p) be the first derivative of -2\/3*p**3 - 1\/2*p**2 + 0*p + 0*p**4 - 1 + 1\/6*p**g + 2\/5*p**5. Suppose t(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 5. Let v be 2\/9 + a\/27. Solve v = -4*l + 4 + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.23 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {r: 2, y: 11, g: 2}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*q + 12 - 40*q - 34*q - q - 1 + 1 + (2 - 4 + 3)*(-4*q - 2*q + 4*q) + 3*q - 4*q - q - 5*q + 4*q - 2*q.\nAnswer: -6*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 28 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4556*i - 6833. Is s(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 418 - 422. What is the hundreds digit of 6\/q*26572\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, y: 3, s: 1, p: 10}. Give prob of sequence psg.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1\/43 (c) -0.252 (d) -25315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.26. Let y = 39.8 - 39.6. Is y >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/13, 0.3, -0.1, 3177?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 - 316. Let q = u + 257. What is the lowest common multiple of 4 and q?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 5, -2\/3245, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431432 (base 8) to base 2.\nAnswer: 100100011001100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-38)*(-90231)\/166215?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**2 + 59. Let p(r) = 2*r - 22 + 6*r - 7*r. Determine p(d(i)).\nAnswer: 2*i - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.1 - 0.9. Let o = b + 4.8. Let k = o + -0.1. What is the third biggest value in 0, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403*40\/390 + -42\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93766, 187558, 281350, 375142?\nAnswer: 468934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/10 + 49*g**4\/3 - 301*g**3\/3 + 202*g**2 - 2*g + 1864. Factor n(o).\nAnswer: 2*(o - 2)*(o - 1)*(o + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, 17, -2\/7, -2\/3, 0.1, 4\/5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 times 29\nAnswer: 1.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110956554.\nAnswer: 2, 3, 23, 97, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p - 3. Let u be -9*(-4)\/(-4)*-1. Suppose u*k - 11*k = 8. Give q(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1362 + -0.13618909. What is k rounded to 7 decimal places?\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05766521 to five decimal places.\nAnswer: 0.05767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 81 + 15. What is the greatest common factor of 168 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167.93 - -168. Let m = -0.2 + u. Which is the closest to 2\/3? (a) m (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*b*u - 3*a*u**4 - 2*b*u**5 + 282*b*u**2 - 2*b*u - 5*b + 160*u wrt u?\nAnswer: -36*a*u**2 - 40*b*u**3 + 564*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a8a9 (base 12) in base 2?\nAnswer: 1110101010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.13, 0.17, 0.5, 1\/3, 0.3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/z*z)\/(z\/z**26) assuming z is positive.\nAnswer: z**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Suppose c*m = 2*m + 6. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1 + 4*q - 1 - q. Let a(y) = 2*y**2. What is w(a(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-21)*(-6)\/68. Let o be 10\/5*(-3)\/12. Which is the second biggest value? (a) t (b) o (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5833.\nAnswer: 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.7 - -0.2. Let z = m + 11. What is the second smallest value in -4, z, 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let d(u) = -u. Let k(r) = -9*d(r) - 4*q(r). Let w be k(0). Let i be -4 - (w + -1)*22. Solve -2*c = 2*n + 3*c + 3, -2*c = 5*n + i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 0*r**2 - 4*r**2 + 1 + 0*r**2. Let o be 4*(-2)\/12*792\/528. Give d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + 12\/(-36). Suppose -2*f + 28 = -4*t, p*t = -4*f + 3*t + 31. Let q be (1\/f)\/(2\/40). What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319525507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 7. Let l be k\/2 + 1 + -1. Suppose l*i = 2*y - 13, -5*i - 7 = y - 2*i. Solve -3 = u + y*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -133253, -133258, -133273, -133304, -133357, -133438, -133553, -133708?\n\"Answer: -k**3 + k**2 - k - 133252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/19)*g*g*g**(1\/12))**(-1\/10)\/((g*g**(2\/5))\/g*g\/(g**(-1\/3)\/g))**(-2\/59) assuming g is positive.\nAnswer: g**(-10143\/44840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -745020 rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 10. What is r(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3\/5, 5, -4 in ascending order.\nAnswer: -4, -3\/5, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-30) + 86\/(-10). Let o(b) = 2*b**2 + 24*b - 22. Let l(f) = -2*f**2 - 23*f + 22. Let d(z) = 6*l(z) + 5*o(z). Is d(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209095 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let c be z(-3). Let p(v) = 5 + 14*v**3 + v - 2*v**2 - 10*v**c - 5. Determine p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10297550.520881 plus 3?\nAnswer: 10297553.520881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 35*i - 6291. Is i a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 30*d**2 - 53*d - 35. Determine o(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3766 (base 9) to base 12.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501859.2ml to litres.\nAnswer: 501.8592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 18 = 4*a. Let q = -16 - a. Suppose -2*t = -q - 103. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31420 is divided by 1960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82670086 is divided by 41335040.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.5662 and 0.3.\nAnswer: 3.46986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 24, 63, 138, 261, 444?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -305781, -0.15 in decreasing order.\nAnswer: -0.15, -0.3, -305781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 17*t**3 - t**2 + t. Calculate the remainder when 61 is divided by r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h**2 + 43*h + 77*h**3 - 43*h + 56*h**2 - 78*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48766626.\nAnswer: 2, 3, 2709257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-56))\/(20\/1190*17)*-16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220200 (base 3) to base 14.\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46788133 >= 46788132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -103)*(-1)\/2. Let z = 49 + s. Let t = 0 - -1. Calculate the greatest common divisor of t and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 6006*r + 9018009.\nAnswer: (r - 3003)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 20210011111211?\nAnswer: 20210011111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -44. Let y = h + -13. Solve 24 = -5*m + x, -2*m = y*x - 0*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(-37) assuming b is positive.\nAnswer: b**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*x - 1, -2*g = x - 9 - 9. Solve -5*u + g*u = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + l, 4*l = -2*y + 3*y - 24. Let k be (-24)\/128 - (-2)\/y. Suppose 0 = h + 4*h. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q**3 + 9*q**2 - 15*q + 9. Let s(g) = -6*g**3 - 4*g**2 + 7*g - 4. Let h be ((-4)\/20)\/((-4)\/(-80)). What is h*n(l) - 9*s(l)?\nAnswer: 2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 9502264*u + 5643313820356.\nAnswer: 4*(u + 1187783)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = q + y, 4*q + 5*y + 31 = 0. Suppose -2*c + 2 = -8. Put -3, c, q in increasing order.\nAnswer: q, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (-6)\/(12\/(-4)). What is the greatest common divisor of f and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 2*w**4 - 9*w**4 + (3 - 2 - 3)*(22*w**4 + 16*w**4 - 5*w**4).\nAnswer: -77*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + z = 2090 - 2095, 0 = 4*z - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/c**6)\/c))\/c*c)**(-23)*c\/((c**(-15)\/c)\/c*c)*c\/(c*c\/(c**(-1\/10)*c)*c))**42 assuming c is positive.\nAnswer: c**(-30471\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1269 or 53357\/42?\nAnswer: 1269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3917 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -u + 26 - 8, u = y + 15. Solve -g - u = -15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 14, q: 5}. Give prob of picking 3 q.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 658\/282*(1 + (-22)\/28). Is x less than 17\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4561 + -81?\nAnswer: 4490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706699 - 492484 + 126245 + 1244065 = -14275*i for i.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177.5 + -178. What is the nearest to 3 in h, 18, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2) + (-10512)\/(-12). Suppose -3*p = 103 - u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2970 or -26720\/9?\nAnswer: -2970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 2*j = -23*n + 18, 0 = 4*n + 3*j - 13 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -6 + (-30)\/(-18))*-159. Let z = 360 + s. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14966 and 64.\nAnswer: 478912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08612 rounded to 3 dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1539*m**3*n + 2*m**3 - 260*m**2 - m*n wrt m.\nAnswer: -9234*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -476, -482, -488, -494, -500?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26548507.7 - -7.8.\nAnswer: 26548515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1093023, 1093024, 1093025, 1093026?\nAnswer: 1093027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 110*s**3 + 3681*s**2 + 35424*s + 76032.\nAnswer: (s + 3)*(s + 11)*(s + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26238 (base 9) in base 3?\nAnswer: 220021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61299 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**2 - 1. Let h(r) = -r - 3. Let n(b) = b + 2. Let g(q) = 2*h(q) + 3*n(q). What is g(w(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(2 - (-1 + 2)). Suppose 4*f - 10 = k. Solve 4 - 9 = -f*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*252\/280)\/(6\/(-90)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide ((-1349)\/2 + 15\/30)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5, j: 5, v: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:26 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39544.003 + 39575. Let g = 0.003 + y. Let v = 36 - g. Which is the biggest value? (a) v (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/6)\/(6\/(-9)). Is 11 a factor of 54*(-2 - m\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2501*b - 299. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25538, 35355, 45172, 54989, 64806, 74623?\nAnswer: 84440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -21023023300?\nAnswer: -21023023233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 96 and -0.05066.\nAnswer: 95.94934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/104 + (-51)\/136. Factor 25\/2*q**4 - 5*q**3 + z + 0*q + 1\/2*q**2.\nAnswer: q**2*(5*q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13251300 (base 6) in base 10?\nAnswer: 442260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:31 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 10*q - 50. Let x(d) = -3*d**2 + 2*d - 2. Give m(c) - 5*x(c).\nAnswer: 13*c**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/810 and -167\/25380.\nAnswer: 76140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4443311242 (base 5) to base 16\nAnswer: -94b0bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-31 + 23) - 108\/(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6. Let s = 1.5 + 0.5. Which is the closest to s? (a) 2\/11 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-3 + (12 - (3 + 0)) + -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:34 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -7 + (1553 - 0). Suppose 0 = 4*m - x - 317. Is m 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 1 - 37179*b + 0 + 1042*b**3 + 37286*b + 1174*b**3 wrt b?\nAnswer: 13296*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4000762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1897730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/525*h**7 - 1\/75*h**6 - 1\/15*h**4 - 1\/15*h**3 - 1\/25*h**5 + 0 + 0*h + 2*h**2. Factor y(o).\nAnswer: -2*(o + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1091*-0.023\nAnswer: 25.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let w(h) be the second derivative of -h**4\/12 - 430*h**2 + 88*h. Calculate z(w(f)).\nAnswer: -2*f**2 - 1720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9546, 76220, 257090, 609216, 1189658, 2055476, 3263730?\nAnswer: 4871480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 * 1.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c - 3213 = -44*c. Suppose -5*n - 229 = -5*f + 46, 0 = 3*f + 5*n - c. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7 - 84*k + 79*k + 14 + 4*k - 25.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f**5 - 136135*f**4 + 1495965*f**3 - 6117795*f**2 + 11010195*f - 7339410 = 0.\nAnswer: 2, 3, 27183\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 - 25*a**3 + 4*a**3 + 11*a**3 + 46*a**2 + 1 - 3*a**2.\nAnswer: -23*a**3 + 43*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -93*(4 - (-982)\/(-3)). Suppose 36*y - f - 139310 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3 + 8. Suppose 14 = z + m. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = 5*p, -2*h = -2*p - 2*p - 46. What is the greatest common factor of h and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u + 110. Let l be r(-9). Let d be (9\/(-2))\/((-4)\/8). Is l greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 14, 27, 42, 59, 78, 99?\n\"Answer: x**2 + 8*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1954 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*w = -w + 57, -24 = 3*s - w. Let x = -6 - s. Suppose -x*t - 15 = -4*t. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2235266 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1213 + -1?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let s(z) = z**2 + 4*z + 3. Let l(b) = 6*g(b) + s(b). Let c(m) be the first derivative of l(m). Differentiate c(h) with respect to h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 831*d**2 - 832*d**2 - 11)*(-3*d**3 - 2*d**3 + 2*d**3).\nAnswer: 3*d**5 + 36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44443 + -333210?\nAnswer: -233212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + 1*sqrt(153) + -2 + 1.\nAnswer: -6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - (1 + -9)) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221132*f + 221035*f = -2716 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32*-41829.\nAnswer: 13385.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 9. Suppose -5*q = -4*f + 6, 0 = -q + 3*q + f + 5. Which is the nearest to m? (a) q (b) -0.4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k**2. Let v(w) be the first derivative of 3*w**4\/4 - 4*w**3\/3 - 30*w + 1445. What is 4*m(j) + v(j)?\nAnswer: -j**3 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/6 + 5*x**3\/6 + x**2\/2 - 32*x + 1. What is the derivative of n(j) wrt j?\nAnswer: 20*j**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 73?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*h - 49, -7 = 2*x - 4*h + 11. Let m(i) = 9*i**2 - 6*i + 17*i + 3 - 1 + 5*i**2 - 13*i**2. What is m(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 34 = 7*i - l, 9*i - 4*l - 85 = 0. Solve -i*q + 61 = -4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.361 - -48.361. Put 1, x, -0.02, 4 in decreasing order.\nAnswer: x, 4, 1, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -58*f - 92 - 19*f + 21*f. What is the tens digit of d(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c. Let x(k) = 28*k - 84. Let r(p) = -p + 2. Let s(d) = 42*r(d) + x(d). What is s(g(j))?\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 13*s - 1. Let b be m(10). Suppose 4*x - b + 1 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48 + (-6 - -3) + 5. Let q = -29 + n. What is the tens digit of (-3)\/(-6) + q\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwwwwwtqqw. What is prob of picking 1 t and 1 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 - (-4)\/(-8))*-12 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*s + 203*s + 252 = 0. What is the second derivative of -t**2 - s*t**5 + t + 157 + t**2 - 136 wrt t?\nAnswer: -720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 117*x**2. Let w(n) be the first derivative of -2*n**2 - 3192. What is w(r(j))?\nAnswer: -468*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 444 - 439 - (1 + -1 + 25)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -49. Let i be -2 + 1\/(-2)*-2. Let n = i - -12. Solve d*v + 3*a = -3 + n, 3*a = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 12 = 11*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 11*o**2 - 4*o + 24. Let l be s(-12). Let x = l + 77. Suppose 0 = -6*c + 3*c - 15, -5*n + x*c + 6750 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*g - 128*g - 150*g + 410*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1539 = -148*b + 167*b. What is the remainder when 269 is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400*j**2*z**2 + 49*j**2*z + 7620*j**2 + 4*j*z**2 + 9*z**2 wrt z.\nAnswer: 800*j**2 + 8*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + (-2*sqrt(1872) - sqrt(1872)) + 3 + -4)**2*-4.\nAnswer: -67396 - 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*s - 8, -4*s - 7 = 3*a - 26. Let b be -3 + (5 - (-1 - a)). Find the third derivative of -x**4 + 2*x**2 + x**b + 3*x**4 wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(42 - 254))\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:21 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7026 by -90.\nAnswer: 1171\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8429814, 8429683, 8429472, 8429187, 8428834?\nAnswer: 8428419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 2*l + l - 5*l**2 + 9*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -26, -4, -2, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-8)*((-224)\/49)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 6*j**2 + 4*j + 7. What is the remainder when 45 is divided by i(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12012 - 12009. Let i = 0.05 - 5.05. Let l = 2 + i. What is the third smallest value in k, 1, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135764?\nAnswer: 2, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = -i, -2*i + 6*i = 2*b + 24. Suppose 5*n + 16 = i*o - 0, -5*n + 20 = 5*o. Let z be n + -1 + 2*(1 - -2). Solve -z*g + 27 - 7 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91669 and -5947?\nAnswer: 85722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:25 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46505 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 0.2, -1, -5, 0.036, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153544303 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)\/v)**(-3\/17) assuming v is positive.\nAnswer: v**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1729abc (base 14) to base 10.\nAnswer: 11397958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) -1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12.9 * -39450\nAnswer: 508905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111101011000100001 (base 2) to base 9\nAnswer: 422801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141784 is divided by 307.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001315127 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 85.6369.\nAnswer: -85.6369","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*m - 4*g + 1118 = -100*m, 0 = m - 2*g - 1094. What is the remainder when m is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*d**4 + 3*d**3 - 38*d**2 + 2590*d + 2 wrt d.\nAnswer: 468*d**2 + 18*d - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:57 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 664637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/3 - (-8 - -9). Suppose -7*a - a = -r. Suppose 4*c + 12 = 20. Solve -a*g + 1 + 2 = z, -5*g - 6 = -c*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59684, 119727, 179770, 239813?\n\"Answer: 60043*x - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -258.388 + 206.3. Round q to zero decimal places.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/10 + 5*n**4\/3 - 17*n**3\/2 - 25*n**2\/2 + 5103*n. What is f(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/12)\/(2\/(-15)). Suppose -3*k - d = -98. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*2*sqrt(81)\/sqrt(3))\/(5*(-2*(sqrt(45)*-3 + sqrt(45) + sqrt(45)))\/sqrt(5)).\nAnswer: 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.967319 years?\nAnswer: 0.004967319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -2\/3, 0 in ascending order.\nAnswer: -89, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 3*n + 3. Let w be t(-1). Let v(o) = 101*o**2 + 36*o - 102. List the prime factors of v(w).\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 353 = -27*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 4*h + 4*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -2. Let s = -11.99999993 + o. Round s to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 2*z + 2. Determine u(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5 - ((-74)\/30 + 4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 18\/14)\/((-402)\/(-603)). What is the third biggest value in 7, -23\/8, u?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 21 + 38 = -5*l, s = -2*l - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110008 = 1071*a + 16831 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:42 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/(0 + 0 - (-1431)\/(-318)). Solve -40\/3 + 16\/3*v**2 + 2\/3*v**3 + h*v = 0 for v.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**39*s**(-3\/8))\/((s**(1\/29)*s)\/(((s**(3\/4)\/s)\/s*s)\/s*s)) assuming s is positive.\nAnswer: s**(-8969\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 2.0295, 0.2, -2\/7?\nAnswer: 2.0295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b03 - e?\nAnswer: -1b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14767783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8828 - 8826. Let g(c) be the third derivative of 0 + 0*c - 38*c**o - 1\/6*c**3 - 1\/24*c**4. Calculate g(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*i + 9*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8018960 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r)**(-43)\/(r**3)**32 assuming r is positive.\nAnswer: r**(-268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1801 + 10163. Calculate the common denominator of 11\/4 and s\/(-1080) - 2\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 c, and 1 n when three letters picked without replacement from {n: 2, h: 1, c: 1, l: 1, a: 1, q: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**7\/d*d**(-6\/11)\/d assuming d is positive.\nAnswer: d**(49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**3 - 26*g**2 + 8*g - 9. Let k be l(5). Calculate the greatest common factor of k and 296.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 299.49878 days?\nAnswer: 42.78554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -1160\/7. Let g = -3 + 0. Sort g, l, -2 in descending order.\nAnswer: l, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eememeeeeeeheemeheh. Give prob of picking 1 m and 1 e.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20d - 4?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1045 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 7*f**2 - 7*f + 12. Let c be z(-8). What is the second derivative of 5*x - 3*x**2 + c*x - 6*x**2 + 4*x**2 wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204638 is divided by 102263.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -23.\nAnswer: 11\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.057 - 24.157. Let q = 23.1 + m. Which is the third biggest value? (a) 0.1 (b) q (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -4)\/((-9)\/15). Suppose -35 = -2*y - 2*y + 5*j, 24 = 3*y - 3*j. Suppose 3*a - y*w - 43 = -8, u*w = -5*a + 5. Solve -a*g + 1 = -14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 9*d - 59 - 111 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, 11\/184?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 396*f**2 - 12*f - 47. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.04, -4, -2, 2\/7, 3, 0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/30 + 2*h**5\/15 - h**4\/6 + 2*h**2. Factor b(a).\nAnswer: -4*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 62 = 2*q, -q + 56 = 4*y - 5*q. Suppose -19 = -o - y. Solve o*d + 10 = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.8 from -122689797.\nAnswer: -122689792.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.34, 0.2, 1\/9, 2\/7 in descending order.\nAnswer: 0.3, 2\/7, 0.2, 1\/9, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-11)\/h*h)\/h)*h*h)\/(h*(h*h**(9\/2)*h)\/h)*(((h*h**5*h)\/h)\/h)**(-3))**(-46) assuming h is positive.\nAnswer: h**299","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 2, t: 1, f: 1}. Give prob of picking 1 y, 2 d, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216582*h**4*l - h**4 + 375034*h*l + 2 wrt h.\nAnswer: -2598984*h**2*l - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(117)\/(sqrt(18)\/(-2*sqrt(2))) - (sqrt(13) + 1 + -2)*1) + 2 + 1)**2.\nAnswer: -24*sqrt(13) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011 + -110011000111011111000?\nAnswer: -110011000111110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*z + 2*z + 22 = 0, -3*z = 9. Suppose 2*c - 6*c + 24 = 0. Let m be (-2)\/6 - s\/c. What is the nearest to -0.1 in m, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 254 and 146.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 0*x + 2\/3*x**3 + 0*x**2 + 7\/24*x**4 - 1\/360*x**6 + 1\/30*x**5 + 2. Let w(f) be the third derivative of a(f). Determine w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25704, -103051, -231964, -412449, -644512?\n\"Answer: -q**3 - 25777*q**2 - 9*q + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)\/sqrt(3))\/sqrt(7)*-6 + (sqrt(112) + 5)*-1)**2 + 5)*5.\nAnswer: 500*sqrt(7) + 3650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 5*y**2 + 5*y + 4. Let j(r) be the first derivative of -r**2 - 1\/4*r**4 - 2*r + 16 - 2\/3*r**3. Calculate 5*j(i) + 2*n(i).\nAnswer: -i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.8603 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101010001110000 (base 2) to base 5\nAnswer: 1142431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14468 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + (-10 + 5 + 7 - (-53 - -67)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.013665 millennia?\nAnswer: 401.3665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200929*i**2 - 200922*i**2 - 27*i - 26*i + 53*i.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 3353451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2538632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2769*w**3 - 2768*w**3 + 19*w + 6 + 9*w**2 + 10*w**2. Calculate r(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.7, -0.06, -0.3, 174, 2 in decreasing order.\nAnswer: 174, 17, 2, -0.06, -0.3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -2202*l + 2138*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 124 - 313. Let g = -3011 + 3022. Solve d - g = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/568 and 85\/2272.\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.4\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15837 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2*(2 - 3). Suppose -2*t + 8 = 4*l, 0 = -b*t + 6*t + 2*l - 10. Suppose 5 = 3*a - 2*u, -t*a - 2*u - 4 = -7*u. Solve 0 = -v + a*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnq when three letters picked without replacement from {y: 2, n: 1, q: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66839.\nAnswer: 89, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 458 + -454. What is the second biggest value in 8, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -820, -1873, -3336, -5203, -7468, -10125, -13168?\nAnswer: -16591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388252 to the power of 1\/2, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 + 26152*l**2 - 130810*l = 0. Calculate l.\nAnswer: -13081, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 104, 1\/5 in descending order.\nAnswer: 104, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 109033996531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 - 21*i\/5 + 6.\nAnswer: 3*(i - 5)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*l + 25 = 162*l + 2*x, -19 = 2*l - 5*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3921799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 119399225562314?\nAnswer: -119399225562314.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167126 is divided by 2089.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 15, x: 4}. Give prob of picking 1 x and 3 d.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*b + 18200 = -1492 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 0 + -1 + 4 + 1068 + -1088?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5\/12*y**4 + 0*y**2 + 1\/20*y**5 - 5*y - 3 - 5\/6*y**3. Let c(r) be the first derivative of x(r). Give c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2951, -3676, -5771, -9920, -16807, -27116?\n\"Answer: -114*h**3 - h**2 + 76*h - 2912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6535 + -6535.05013. Let z = -0.15 + 0.2. Let c = z + u. Round c to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 38 (b) -3 (c) 0.11 (d) 0 (e) 12\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5637865 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.3605945 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25790897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333056, 666583, 1000108, 1333631, 1667152, 2000671?\nAnswer: 2334188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97572261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + 2 + sqrt(3200) + -4 + sqrt(3200))**2.\nAnswer: -480*sqrt(2) + 28804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 + 2698*a**2 - 1088100*a = 0.\nAnswer: -1674, 0, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -91. Factor 24 + 36*x**3 - 28*x - 104*x**3 - o*x**2 + 23*x**3 + 25*x**3.\nAnswer: -4*(x + 1)*(x + 3)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1124*g**3 + 6*g**2 + 7. Let j(k) = 1123*k**3 - 8*k**2 - 6. Give 3*j(a) + 4*w(a).\nAnswer: -1127*a**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - -1585755?\nAnswer: 1585771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19)*5*3.\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 9, 4, 3 in increasing order.\nAnswer: 1\/4, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 = -10*g. What is the units digit of (28 - g) + (-16)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 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: Let l(z) = -257*z**2 - 1858*z - 407. Determine l(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 11)\/(-10)*(-27 - 2). Is g*(21357\/33 - 26\/143) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*v + 2)*(-5*v + 3*v + 4*v) + 60687*v - 60687*v + 5871*v**2 in the form a*v + g*v**2 + c and give g.\nAnswer: 5875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4481143214 to the nearest integer?\nAnswer: 66941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12756 bigger than -12756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*c - 0*u + 4*u, -c + 4 = u. Suppose 3*p = c*p. Let r = p - 0. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4197 divided by 6.\nAnswer: 1399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6333 from -35.28.\nAnswer: -6368.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18*k**2 - 465*k - 227. What is the hundreds digit of h(58)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4760 - 4732. What is the highest common factor of t and 3766?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.004 + 0.004. Which is the smallest value? (a) -2\/11 (b) i (c) 2\/7 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 - (97 + (56 - 127)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvivjivvvssj. What is prob of picking 1 j and 1 s?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (144\/64)\/(12\/(-8))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -1830.\nAnswer: -1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -440?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 - ((5 - 7) + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38200698 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1288 = -4*l, -3*l - 795 = -3*f - 8*l. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*g + 134, -g = -3*g - 4. Let x be (7*(-8)\/r)\/(2\/(-3)). Which is the biggest value? (a) x (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7\/6, 2, 8, -2\/3, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a - 34*a = 48*a - 27*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15 = -6*o. Let n(x) be the first derivative of x**2 - 5*x + 1. Let q be n(o). Calculate the highest common factor of q and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 4. Let j be g(0). Suppose -370 - 342 = -j*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/21 - 244\/(-28). Let p(d) = d**2 - 9*d + 3. Let k be p(u). Is 18 + (-3)\/k + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7122580 divided by -5.\nAnswer: 1424516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/3 + 227183*f**3\/3 - 1135898*f**2\/3 + 1817428*f\/3 - 302904 = 0?\nAnswer: 1, 2, 227178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z + 30107 = 3*h, -8 = -2*h. Calculate the remainder when z is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -628 - 2?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -0.1, -1\/2, 73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from llblvlilbvl.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((20 - 15) + -131965)*50. What is z rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9)*6666\/14443.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 40 = -4*a, -5019*a = -5024*a - 3*p + 66 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 + 5*b**2 + 10*b + 2. Let m(c) = 5*c**3 - 4*c**2 - 9*c - 2. Determine 5*f(l) + 6*m(l).\nAnswer: 5*l**3 + l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*f + 5, 6*i - 11*i = -3*f - 19. Suppose -3*t = -19 + 4, -2*a - 12 = -i*t. Is a less than 2\/457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-three eighths of a meter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-32)\/d**(-17))**(5\/6))**(-30) assuming d is positive.\nAnswer: d**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34445 (base 7) in base 14?\nAnswer: -32cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 29640.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + q - 6 = 3*q, 0 = -5*v - 4*q - 17. Put 3, v, -1, -4 in increasing order.\nAnswer: v, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(330)\/sqrt(44))\/(sqrt(18)\/sqrt(3)*-6).\nAnswer: -sqrt(5)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -1. Let o = 34 - 76. Let k be (-16)\/(-56) + (-16)\/o. Which is the third smallest value? (a) k (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*x + 3472 - 2019 + 516 = -3257 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 6*t**4 - 2*t**4)*(-1 + 1 - t) - 54*t**4 + 3*t**5 + 22*t**4 - t**5.\nAnswer: 8*t**5 - 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1063424 and -31\/64?\nAnswer: 1063424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176214 is divided by 4099?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 8*g = -810. What is the smallest common multiple of g and 198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 252, 251, 250, 249, 248?\n\"Answer: -b + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 71*s. Let w(r) = 71*r. Let y be (15 + -8)*(-19 + 18) + 4. Calculate y*w(b) + 4*h(b).\nAnswer: 71*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/5))**(-2\/27))**(9\/8)*(j\/(j*j**(-1)))**(-2\/25)*j**(-1\/2)*j\/(j\/j**(-2\/21)) assuming j is positive.\nAnswer: j**(-283\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 14*t - 6. Let y be o(-13). Let j = 21 - y. What is the greatest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 2, q: 4, t: 3}. Give prob of sequence vt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -33*f + 38*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p. Let k be f(1). Suppose a - 26 = -21. Suppose -4*h = a*j - 22, 2*h + 2*j - j = 8. Sort -5, k, h in decreasing order.\nAnswer: h, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(-14))\/(2\/(-152)). Let j = u + 42. Suppose -2*b - 3*x = -63, -3*x = -j*b + 98 + 55. Calculate the highest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/sqrt(225) - sqrt(13)) + sqrt(13))**2 + ((sqrt(1300)*2 - sqrt(1300)) + sqrt(13))**2.\nAnswer: 39338\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 4860.\nAnswer: 170100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49658 - -25275908\/509. Let p = 28649\/13234 - f. Calculate the common denominator of 99\/8 and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-108)\/16 - 1)\/(3\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000057467 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Let n = -1.5 + 1.1. Which is the third biggest value? (a) -5 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3 - y**2\/3.\nAnswer: y**2*(24*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*s - 8412 - 875, -5*o + s + 46457 = 0. Is 201 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1394, 2816, 4298, 5870, 7562?\n\"Answer: 5*c**3 + 1387*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c3 - 2?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236889322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by 5?\nAnswer: -124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-1*-4)\/((-4*sqrt(80))\/sqrt(8)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3364*j**5 - 4362644*j**4 - 18094592*j**3 - 19939808*j**2 - 2497856*j - 83264 = 0.\nAnswer: -2, -2\/29, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 6*k + 2. Let p be f(-2). Let o(b) = 4 + 0*b**2 - b + 2*b**2 - p - 12. Is o(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1536nm in micrometers?\nAnswer: 0.0281536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3712 times -69695\nAnswer: -258707840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7466 + -7466.5. What is the closest to -4 in t, 3\/4, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/57)*t*t*t\/t**(-6\/19)*t assuming t is positive.\nAnswer: t**(248\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1884 and 0.099?\nAnswer: 1883.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q. Let o(c) = c - 46. Determine w(o(s)).\nAnswer: -4*s + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 2086?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/20 - 225805\/50. What is g rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**2 + 8*p + 1. Let z(u) = 1 + u - 2*u - 2 - 1. Let a be ((-12)\/(-8))\/(1\/(-2)). Calculate a*s(v) + 2*z(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5932, -5982, -6006, -6010, -6000, -5982, -5962?\nAnswer: -5946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + x = 17, -5*r + 14 = -4*r - 3*x. Let y be (-10)\/3*(0 - 1 - r). Calculate the common denominator of 1 + y\/(-12) - (-32)\/15 and -11\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36798736*p*w**2 + 280*p - 10309*w wrt w.\nAnswer: 73597472*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 9 - 18)*(2*c - 4*c**2 - 2*c)*(-3*c**2 + 4*c**2 - 3*c**2).\nAnswer: -472*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.65 - -104.65. Let f = -102.0000298 + b. What is f rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.67 + 0.53. Let a = y + 0.8. Put -3, a, 0 in descending order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -d - 635, 0*d = -4*x + 2*d + 850. Is 30 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 17742*q**4 + 106483*q**3 - 88764*q**2 - 425916*q + 638928 = 0. Calculate q.\nAnswer: -17748, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0733256 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**3)*t)\/t)**(-3\/8)*(t\/t**(2\/3))\/t**(6\/7) assuming t is positive.\nAnswer: t**(-277\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t + 2*t + (5 - 2 + 0)*(13*t - 3*t - t + (-2*t + 0*t + 0*t)*(-2 + 2 + 1)).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -474 - 5306?\nAnswer: -6002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -10. Let d(s) = 3*s**2 - 5*s - 5. Let j(r) = -3*r**2 + 4*r + 4. Let x(t) = t**3 + 3*t**2 - 3*t - 1. Let f be x(-4). Determine f*j(o) + l*d(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 13*i**4\/12 + i. Let d(n) = -54*n - 11. Let l(p) = -5*p - 1. Let t(c) = -2*d(c) + 22*l(c). Calculate t(w(f)).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 + -613.3. Let v = -617.00001148 - b. What is v rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114664017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/4, 0.4, -4\/9, -1\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.7*-2.\nAnswer: -99.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 11:55 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 + 148.95. Let t = -1.312 + r. What is t rounded to two dps?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111*d*f*v**2 - 3*d*f*v + d*f + f + 15*v**4 - 32 wrt v?\nAnswer: -222*d*f*v - 3*d*f + 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -420, -424, -430, -438, -448?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 242133, 242137, 242141, 242145, 242149?\n\"Answer: 4*j + 242129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9237181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016724 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 3:01 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**4\/24 - 4*b**2. Suppose 0*n + 7 = 2*j - n, -j - 13 = 5*n. Let y(w) = -25*w**j - 1 + 28*w**2 + 1. What is d(y(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:06 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 1. Let v(o) = -o - 5. Let f be v(w). Let y(q) = 2*q**2 + 1. What is the remainder when 5 is divided by y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from nnnnstxsseneens?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3051.3765 and 0.03055819.\nAnswer: 3051.40705819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 21*b**2 - 19*b - 26. What is the tens digit of r(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zurrntk. What is prob of picking 1 z and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -23*x**4\/24 - 19*x**3\/6 + 137*x**2. Let b be f(-2). Calculate the greatest common factor of 72 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(20\/(-6)))\/((-29)\/(1740\/192))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -77*f**2 + f. Let m be h(-1). Let u be 6\/15 + (-446)\/(-10). What is the units digit of u*(m\/(-15) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -767\/2510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4. Let g = p - 3. Which is the closest to -3? (a) g (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -1\/420*n**6 + 0*n**4 - 5*n**2 + 0 + 0*n + 1\/1176*n**8 + 1\/735*n**7 - 1\/210*n**5 + 0*n**3. Factor p(g).\nAnswer: 2*g**2*(g - 1)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a57b16 - -12?\nAnswer: 1a57b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**4 + 3*r**3 - 6*r**2*x - 21*x wrt r.\nAnswer: 12*r**3 + 9*r**2 - 12*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*u - 11, 3 = -c - 7*u + 4*u. Suppose -p + 5 = c. Suppose -219 = -p*k - 3*i, i - 2*i - 590 = -5*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8327 = -15*n + 8803. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*f - 2*j, 0*f - 2*f + 8 = -j. Suppose -12 = 3*v, -f*z - 5*v = -2*z + 23. Let r be (2\/10*0)\/(2 - 1). Put z, r, 5, -5 in ascending order.\nAnswer: -5, z, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1594\/(-8)*271\/10. Let m = v + 5399. What is the common denominator of -53\/35 and m?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**9*t*t)\/t)**3\/(t\/(t\/((t\/(t*t*t**(-19)))\/t)))**(-8) assuming t is positive.\nAnswer: t**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217030 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264928 + 264928.3. Let h = -1.5 - -2. Which is the nearest to 0.5? (a) x (b) 1 (c) h (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -30683.\nAnswer: 30683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2110 and 1073570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - j**4 - 2*j**4 + (j**2 - j**2 + 2*j**2)*(39*j - 64 + 27 + 36)*(2*j - 2*j + j).\nAnswer: 77*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 13\/4, 2\/29, 2, -1?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3799 + -3687. What is the remainder when 462 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -35 - ((-46 - -12) + 22)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2803*r**6 - 2*r**4 - 45*r**2 - 16?\nAnswer: -336360*r**3 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -0.069, 25, -3, 2 in increasing order.\nAnswer: -3, -0.069, 2, 25, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b - b + 0*b + 3*b - 2*b + (2*b - 2*b + b)*(0 + 1 + 0) + (-1 + 1 - 2*b)*(0 + 6 - 2))*(4*b**2 + 0*b**2 - b**2).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkkbbkkkkkkkkkbkkkk. Give prob of sequence bk.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/24 + j**3\/6 + 8*j**2. Let m be ((-14)\/6)\/(1\/3). What are the prime factors of c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75 - 174 - -91) + (-2 - -1) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 11, l: 3}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (-459215 - 240\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.909742106 to four dps.\nAnswer: -11.9097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**34*l*l*l**46)\/((l\/l**(-7\/3))\/(l*l*l**(-3\/20)\/l*l*l*l)) assuming l is positive.\nAnswer: l**(4951\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333 by 7.\nAnswer: -333\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 3*h. Let a be f(3). Suppose 4*c - 42 = -5*r + 61, -3*r - c + 59 = a. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-48)\/(-224)*-1*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 11*y**7\/210 + 5*y**6\/24 + 59*y**4\/4 + 163*y**2 - 2*y. What is the second derivative of b(q) wrt q?\nAnswer: 132*q**2 + 150*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/18 - (-82)\/6 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -610.27 - -613.27. Let m = 2 + -2.01. Let z = 0.4 + 0.1. What is the fourth smallest value in z, 0, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1009, -1005, -987, -949, -885, -789, -655, -477?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3352 and 4012?\nAnswer: 3362056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 + 4*f**2 + f - 1. Let h be g(-1). Solve 9 = h*s - 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -66. Solve 3 = 2*f + u, 4*u + t = 4*f + 3*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 16 = 0, -p - b + 26 = 4*p. Suppose -2*m - 2 = 3*f, -4*m = f - p*f + 4. Let w = -6\/79 - -263\/4503. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9835749089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m + 4. Let u be 1 + -2*3\/6. Let y = -8.7 - -9. Which is the closest to m? (a) y (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 + 36*n**2 + 11*n. Let d(o) = 2*o**3 + 12*o**2 + 4*o. Let a(v) = 11*d(v) - 4*j(v). What is the third derivative of a(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - (-3 - -1)) + -154. Let j(h) = -28*h**3 + 2*h - 2. Let d be j(2). Let k = q - d. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + y**2 + 2*y + 1. Let m = -67 - -67. Suppose -4*r + s = -m*r + 7, 3*s = -5*r + 4. Let t be q(r). Solve -5 + t = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.4. Let l = 16.65 - 17. Let w = l - -0.05. Sort x, -0.5, w.\nAnswer: -0.5, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1109 < -415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 56 - (1 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920 = -5*u + 950. Solve w + 13 - 32 = 4*g, 4*w - 2*g - u = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 2}. Give prob of sequence rjr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 26*t - 146 - 204 = 176, -5*i + t = 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*j + 4080 - 4268, -4*t + 375 = -5*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -591 - -594. Sort -6, -5, -12, y in descending order.\nAnswer: y, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -58, -108, -158, -208, -258, -308?\n\"Answer: -50*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3 - 2828*c**2 + 999698*c = 0?\nAnswer: 0, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 5*r + 4. Let s be h(-6). What is the second smallest value in -1, -0.1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1 + 4?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 - 196. Let s(p) be the first derivative of -17\/6*p**6 - l + 0*p**4 + 0*p**3 + 0*p**5 - 17\/2*p**2 + 0*p. Find the second derivative of s(j) wrt j.\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.345.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080608 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: Calculate -122 + 132 + (0 - (1 - 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12785 times 0.007?\nAnswer: 89.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -a, 2*d - 5*a + 0*a - 387 = 0. List the prime factors of d.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -235073037.71 + 235072660.71000788. Let n = g + 377. What is n rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523016 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 103484534766.\nAnswer: 103484534764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/(-154) + 2628\/(-14). Sort -2, r, -1 in increasing order.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (7\/5)\/((-84)\/105))*52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.995 - 2. What is y rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 4*b**2 - 2*b - 1. Let s be g(-4). Let u be (139 + 5)\/((-6)\/(-4)). Suppose -u = -5*y + 14. Solve 5*x - y = -s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6025624.65 + 2.\nAnswer: -6025622.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -68. Suppose -2*h + 1961 = 5*i, i = -2*h - 2*i + 1951. Suppose 18*r = 14*r + h. Calculate the highest common divisor of n and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(108)*2 - sqrt(108)) + 1 + ((sqrt(3) + sqrt(12)\/(sqrt(4)*-1) - 3*sqrt(24)\/sqrt(8))*2)**2.\nAnswer: -162*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - w**4 + 0*w**4)*(-10 - 2*w + 22 - 42).\nAnswer: 4*w**5 + 60*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250 + -1112422?\nAnswer: -1113112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 243861?\nAnswer: 243864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 8. Which is the second smallest value? (a) 4 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1) - ((-1792)\/(-299) - 2). Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*v + 12, -3*v + 3*g + 5 = -16. Suppose -v*r = 3*q - 11, -15*r - 3*q + 7 = -11*r. Solve 4*o = -r*c, o - 4*c - 30 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/(88\/11)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67 in -2, 0.1, 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4241496 and 984?\nAnswer: 173901336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 322 + -318. Suppose -2*r - r + 21 = 5*p, -p + 1 = -r. Suppose -q - c - 2*c = -14, -5*q = 2*c - 31. Solve -p*t - k = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 8*t - 37 - 5, -n + 2*t = -6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 253552089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3759971107?\nAnswer: 17, 221174771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1005 - 680. Calculate the remainder when 12\/10*h\/5 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) - (sqrt(768)*1 - sqrt(768)))*1)\/(3*-2*(sqrt(6) + (sqrt(18)\/sqrt(3) - sqrt(6)))).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -2*g**3\/3 + 2*g**2 - 240. What is w(-4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(3 + -2). Let v = -121.9 + 122. Which is the smallest value? (a) f (b) v (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 5*w. Suppose w = g - 2*g + 5. Suppose 3*u - 18 = -5*z + 51, -g*z = -15. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + 19 + -13 + -6 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*q + 13. Let w(x) = x - 3. Let g be w(q). Let m(y) = 1. Let c(s) = s - 6. Let v(a) = -c(a) + 2*m(a). Determine v(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -8 - (-14 - 0) - (0 - -8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + 77 - (-1 + 5 + -27).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 325172, -13 in descending order.\nAnswer: 325172, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -10. Suppose -51 = -h + g. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12)*(-15)\/125*5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4096 + 0*r**3 + 4096 - 13*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 490?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) + (-7)\/(-2). Suppose 0 = m*c - c - 260. Round c to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3 - 5) + (-260)\/(-91))\/((-6)\/56) is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464004 (base 7) to base 5\nAnswer: 10124020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023502 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 - 49 + 44 + h**2 + h**3. Let j be q(0). Is -1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + z**2 + 9*z - 58. Determine m(5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) -108\/23 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -144220411 (base 7) in base 14?\nAnswer: -13b0d41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/11 - 5851136*v\/11 + 5851134\/11 = 0. Calculate v.\nAnswer: 1, 2925567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 5*l - 100, -5*y - 3*l = -10*y - 40 - 52 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 565 and 904?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.82, -5, -4, -148, 2.75?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let s(f) be the third derivative of -125*f**4\/4 + 6*f**2 + 82. Determine a(s(n)).\nAnswer: 1500*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 10*w**2 - 3*w + 29. Calculate b(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 15*o**2 + 16*o - 2. Let f be z(16). Let c = f + 12. Let q = 2 + -1.8. Which is greater: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by 2234281?\nAnswer: -71\/2234281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, -2\/1445, -1\/6 in increasing order.\nAnswer: -1\/6, -2\/1445, 2\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 433751896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -58*l + 2502. What is the tens digit of i(-150)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -57, -63, -69, -75?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24)*(-390)\/(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/2 - 3. Suppose 0*w - 3*w + 9 = 3*o, -o - 4*w = 12. Let g be o\/(-12)*12\/(-4). Which is the nearest to g? (a) f (b) 1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1517*w**3 - 3*w**2 - 347 wrt w.\nAnswer: -9102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2*s + 2. Let h(j) = -j**2 - j + 6. Let f(c) = -6*b(c) + 2*h(c). Factor f(u).\nAnswer: -2*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665 (base 7) to base 6.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*w - 8. Suppose 4*n + 3*q = -0*q + 96, w*n - 48 = -5*q. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -29. Suppose -1950 = -l*a + 1364. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z**2 + 17. Let i(a) = -4*a**2 - 6. Suppose -3*b = -2*b + 4. Suppose 7*o - 9*o + 61 = -5*q, 0 = -5*o + 15. What is b*d(k) + q*i(k)?\nAnswer: -4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 = -w, -1139 = -5*w + 6*j - 1191 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(-2*1\/(-20)). Suppose u = -w + 53, 0 = 4*u - 0*u - 4*w - 228. What is the highest common divisor of y and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 3. Let q be o(-4). Let y = 1 + q. Let p(t) = -26*t - 24. Let s(v) = 8*v + 7. Let w(a) = -3*p(a) - 10*s(a). Calculate w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*n = -n - 3, -3*n - 1 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16) - (21\/(-4) - 3). Which is smaller: r or 10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*8\/(-280))\/(2\/360*4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and -1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*m - 63, -3*k - 2*k = -5*m + 60. Let w = -11 - k. Let v be w + (-3 - 0) - -3. Solve -6 = -v*u - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -424702, 6, -3.\nAnswer: -424702, -5, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 3395725524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -242.58 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 73737*z - 15147385. What is t(-206)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 + 27*u. Let h(j) = 72*j**2 - 270*j. Let k(d) = 2*h(d) + 21*s(d). Factor k(b).\nAnswer: -3*b*(b - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7822?\nAnswer: 2, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 105\/(-10)*4\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*5\/(-30) + (-861)\/15. Is -57 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13239*f**2 + 3*f + 13246*f**2 - 17 - 26483*f**2 to m*f**2 + y + n*f and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v - 6*v - 4*v + 14*v to the form g*v + x and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -4*q + 2*l, -5*q = -3*q - 3*l - 169. List the prime factors of q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 7) to base 14.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1000001110 (base 2) to base 11\nAnswer: -439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 c when four letters picked without replacement from doocccccoddoce.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -42. What is the remainder when 237\/2*(24\/v)\/(-4) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31465278 to the power of 1\/2, to the nearest integer?\nAnswer: 5609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -886*z - 1491 = 10128 + 4329 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14265700 by -20.\nAnswer: -713285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**3\/3 + 7*s**2\/2 - 7*s + 1. Let q = 373 - 48. Let k = -318 + q. Determine n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8171361 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96 - 339.01105.\nAnswer: -243.01105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/561 and 46\/363?\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.2 or -1599?\nAnswer: -1599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b**5\/3 - 146*b**4\/3 + 17972*b**3\/3 + 97526*b**2\/3 - 29208*b - 9240 = 0. Calculate b.\nAnswer: -55, -6, -1\/4, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6316*w - 1673741. What is y(-265)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55586, -55591, -55596, -55601?\n\"Answer: -5*n - 55581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 47 = 5958*l - 5966*l, 0 = 4*l - l + 2*v + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3997927 (b) -1 (c) -0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4783 = -3*t + 21943. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3295, -1085, 2597, 7751, 14377, 22475, 32045?\n\"Answer: 736*u**2 + 2*u - 4033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289 a factor of 154111503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 103.9. Put 0.4, 6\/5, r, 0 in ascending order.\nAnswer: 0, r, 0.4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 211*a + 2857. What is the tens digit of t(35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 165 or 28996?\nAnswer: 28996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 10. Let t(b) = -l*b + 2 - 2. List the prime factors of t(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 5*k + 4. Let u be r(-4). Let h = -59641\/3441 + -1\/1147. Calculate the common denominator of (-214)\/(-16) + (u - 1) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 - 52*v**2 + 169*v - 135. Give d(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, and 2 h when four letters picked without replacement from {x: 2, r: 1, l: 2, o: 2, h: 5, f: 2}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:10 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 152 - 135 - 2*g**3 - 14140*g**2.\nAnswer: -2*g**3 - 14140*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 1. Let w be ((-1)\/(-2))\/(1\/4). Suppose -3*x = w*x - 10. Give h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5cc + -1c?\nAnswer: -5e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/((-25)\/15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*v = 9, 2*n - 5*v - 9 = -n. Suppose o = 6 - n, -125 = -5*w + 5*o. Let h = 233 - 222. Calculate the remainder when w is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 40 = 0, 1912*l + 5*j + 91 = 1909*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 1. Let x(o) = -11*o + 4241. Give 10*b(t) + 2*x(t).\nAnswer: -2*t + 8472","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -9459?\nAnswer: 9459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -4. Let a(c) = c**3 + 10*c**2 + 8*c - 12. Let w be a(-9). Let t(n) = -n**3 + n**2 + 5*n + 4. Let h be t(w). Solve f*s = s + h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13253*s + 151 = 13234*s - 153 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(80) + sqrt(5))*2 + -3.\nAnswer: -7 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 202, 405, 608, 811?\n\"Answer: 203*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 961455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18145*r**2 + 18145*r**2 + 15*r + 2 - 27*r**5 wrt r?\nAnswer: -540*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13148041 greater than or equal to 13148041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 7, n: 2, f: 10}. Give prob of sequence gf.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nywqn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/(-22))\/((-2)\/268). Sort 4, d, -5.\nAnswer: -5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 23*m**2 - 12*m + 7. Calculate a(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1481011, 143 in increasing order.\nAnswer: -1481011, 1, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 11 = 3*o, 2*o = -q - 0*q - 7. What is the closest to q in -1\/5, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 19 - 5 = 0. Let p(y) = -2*y**3 - 13*y**2 + 6*y - 3. What is the units digit of p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 2*s - 2. Let q be j(1). Let t(g) = g**3 + 8*g**2 + 6*g - 12. Let p be t(-5). Let r = p - q. Calculate the least common multiple of 44 and r.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 2*v**2 - 9*v + 9. Let x be w(7). Let s = -299 - -304. Suppose 5*f = 4*b - x, -4*f + s = -15. Calculate the highest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 37*v**2 + 30*v - 77. Calculate z(18).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1116 and 405\/250 + 24\/128*-4.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 16. Let o be j\/(-2) - 3\/6. Let y = 123368 + -123347. What is the greatest common divisor of y and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:21 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 305700 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -219904234 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 958303 and 589.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-414*t + 37*t - 92*t)*(4 - 4 + 2*t).\nAnswer: -938*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1072*h + 449160. Give m(-419).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -519\/5 (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -18. Let z = g - -26. Let c be -3 - (36\/(-4) - z). Solve 0 = -3*w + 5*f + 14 + c, 3*f - 3 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -26*j - 60. Let l be p(6). Let y = 224 + l. Let d = 26 + -16. Solve -3*q + d = -y*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.8, 1\/5, -2, 5, -5 in ascending order.\nAnswer: -7.8, -5, -2, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-10))\/((q*q**14*q)\/q) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828945282.\nAnswer: 2, 19, 97, 496187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19080?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-30) + 6\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.8102563 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11879*t - 1473026. What is f(124)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94\/689 or -1?\nAnswer: 94\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let b(p) be the third derivative of -3\/4*p**5 + 0*p**3 + 0*p - 69*p**2 + 0*p**4 + 0. Determine f(b(l)).\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9939487.3 rounded to the nearest 10000?\nAnswer: -9940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -36792 divided by 2?\nAnswer: -18396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 398 + -383.19. Let g = -15 + t. Let p = g + 0.18964. Round p to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731.717 millimeters to kilometers.\nAnswer: 0.000731717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 51010200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 14. Let m be 0 - 3966\/(-33) - (-52)\/(-286). Let k = 115 - m. Which is the closest to -1? (a) 0.4 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 1 + 2)\/((-1)\/3). Solve b*l - 5*l = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 755, 1121, 1469, 1793, 2087, 2345, 2561?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = -6. Calculate the greatest common divisor of g and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -26\/3, -2\/21, 0.4, 99, 0.2, 149?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 50541*n - 25277*n - 25439*n.\nAnswer: -175*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by 62\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/6)\/20*(-4)\/(-320)*10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.067 (b) -0.4 (c) 16600\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1600859, 1600871, 1600883, 1600895?\nAnswer: 1600907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**(-1))\/w))**(1\/3)*w*w**1*w*w*w*w**(-5\/3)*w)\/((w\/((w*w**(-1)*w)\/w))**(-2\/3))**(1\/68) assuming w is positive.\nAnswer: w**(511\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*6\/15*2\/(-3). What is the third biggest value in q, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 4 = c. Let s(r) = -48*r**2 + 11*r - 8. Let v be s(4). What is the remainder when (2\/3)\/((-3668)\/v - 5) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1.977331 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 270b + -724?\nAnswer: 1ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {k: 6, t: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2691 (base 10) in base 14?\nAnswer: -da3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 622 = 258. Let w be (-94)\/(-4) + 0 + 44\/t. Which is bigger: 23 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1891 + 11365 = 8*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + u + 4. Let m be l(0). Suppose -m*d - 5*x = -14, 0 = -2*d - 3*x - 1 + 7. Let c be d*-1*3\/6. Sort -2, c, -5 in descending order.\nAnswer: -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmrm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m. Let o(q) = -367*q**2. Determine o(k(n)).\nAnswer: -5872*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:53 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -41 + 12 + 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -218, 4.7703 in ascending order.\nAnswer: -218, 1\/10, 4.7703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 10*o + 49. Let v(u) = -u**2 + 10*u + 4. Let x be v(9). Let q be a(x). Solve -2*r = 2*i - q, 0 = -5*i - 2*r + 30 - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 6*r**4 + 2*r**4 + (2 - 2*r**4 - 2)*(-65 + 64 + 136) + (-r**2 - 2*r**3 + r**2)*(-1 + 1 - 2*r) + 5*r**4 - 3*r + 3*r.\nAnswer: -263*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 80 = -2*g, 3*c = 5*g - 32 + 80. Let x = -14 + c. What is i in 92\/5*i**4 - 46\/5*i**3 - 2\/5*i**x + 0 + 4\/5*i - 48\/5*i**5 = 0?\nAnswer: -1\/4, 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1*(-3 + 2). Let z be 20*2*(16 - k - 0). What is the greatest common divisor of 52 and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103123, 206228, 309311, 412372, 515411, 618428, 721423?\nAnswer: 824396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 15. Suppose -b*q - 2*q = 2*c - 42, 4*q - c - 44 = 0. Let f(d) = d**3 - 11*d**2 + 15*d - 4. Is f(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 34*n - 53*n + 13*n + (-2*n + 2*n + 2*n)*(2*n - 3*n + 3*n) in the form h + u*n**2 + s*n and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32667, -36249, -39829, -43407, -46983?\nAnswer: -50557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d**5 + 10781*d**4\/3 - 35869*d**3\/3 + 33323*d**2\/3 - 776*d - 1980 = 0. What is d?\nAnswer: -330, -1\/3, 1, 18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - r + 4*r - 7, 2 = 4*h + 2*r. Let q be -8 + (-2 + 2)\/h. Let v be (11 - 1) + 50\/(-175)*42. Sort v, q, -4 in increasing order.\nAnswer: q, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7278? (a) 1 (b) 3\/8 (c) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -99*j + 4. Let c(o) = o**2. Calculate c(h(x)).\nAnswer: 9801*x**2 - 792*x + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8446*w**4 - 13840.\nAnswer: -33784*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, y: 7, p: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 73513746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -636 - -635. Which is the closest to -1? (a) -4 (b) -6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223132777.999857 - 223132677. Let o = 101 - b. What is o rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8064) - sqrt(8064)*1 - sqrt(8064) - (sqrt(1400) + sqrt(1400)*2 - sqrt(1400)))\/(4*sqrt(32)\/sqrt(4)*-5).\nAnswer: 11*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2966 - 2966 - 2362399*m**3.\nAnswer: -2362399*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**5\/100 + w**4\/15 + w**3\/6 + w**2\/5 - 8*w. Factor d(r).\nAnswer: (r + 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m = -87*m - 117 - 153 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*z + 268 - 282, 3*t + 2*z + 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(80) + sqrt(80) + -2) - sqrt(80))**2 - -5*(sqrt(80)*4 + sqrt(80))) + (0 + 1 + sqrt(80) - ((sqrt(80) - (1 + sqrt(80)))**2 + 4)) + 0.\nAnswer: -232*sqrt(5) + 3952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520295 - -0.1.\nAnswer: 520295.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.7. Let g = s + 0.2. Which is the closest to -1\/2? (a) -1 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppv when four letters picked without replacement from {v: 6, p: 13}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -63. Sort 5, 4, y in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, -4, 2635.\nAnswer: -4, -2, 14, 2635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(1053)*-1 + sqrt(1053)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - (-7 + -12 + 28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-44895)\/73)\/(-205))\/(1*2\/(3*-12))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -29 + 11 + 7*r + 18 + r**2. Suppose 0 = 5*m - 7 + 22. What is k(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v + 8. Let m(p) = 3555*p - 31996. Let a be m(9). Let k be (-2)\/((-2)\/(-60)*4). Put k, v, a in decreasing order.\nAnswer: a, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + p**3 - 7*p**2 + 0*p + 2*p + 4 + 8*p. Determine l(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2)\/(78\/234*117\/2). What is the second smallest value in 8, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*j**4 - 5*j + 1970 - 2*j**2 + 11*j - 6*j + 0*j wrt j.\nAnswer: -768*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326020.8 decades to millennia.\nAnswer: 3260.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27682918, -27682922, -27682926, -27682930, -27682934?\nAnswer: -27682938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14414947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 5\/2*r**3 + 3*r + 1 - 3\/20*r**5 + 1\/10*r**6 - 3\/4*r**4 - 3*r**2. Factor k(o).\nAnswer: 3*(o - 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 + 115.5. Let n = -0.2 + 0. Sort -2\/3, n, k, 2\/7 in descending order.\nAnswer: 2\/7, n, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3059, -3275, -3635, -4145, -4811, -5639?\nAnswer: -6635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.86, 0.06, -6\/83 in descending order.\nAnswer: 0.06, -6\/83, -4.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56488385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 5, 0, 118, 6, -2.\nAnswer: -14, -2, 0, 1, 5, 6, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6204, -12409, -18614?\nAnswer: -24819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*g - 2*f, -3*g - 3*f = -0*f. Let v be 12*((-2)\/(-8) + 1). Is 18 a factor of 542\/v - g\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 1, w: 2}. What is prob of sequence iw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, 13\/5, -0.12, 4\/3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1075 = 5*v, 30*v - 34*v + 4228 = 8*f. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 752 = -34*l + 54*l, 3*f = 7*l + 278 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/(5*5\/200)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 2\/5, -383?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + ((sqrt(1539) + 0)*-4 - sqrt(1539)) + -5 + sqrt(1539)*-2 + 5 + 5)**2.\nAnswer: -378*sqrt(19) + 75420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/30)\/((-15)\/(-100)) + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*z + 42*z + 2 + 44*z + 39*z - 167*z.\nAnswer: -6*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60637082959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 392167894 a multiple of 3004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1302718, 1302722, 1302728, 1302736, 1302746, 1302758, 1302772?\nAnswer: 1302788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 12. Let y be l(8). What is the highest common factor of 30 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-45) - (-2 + 1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189 - -185) + (-1 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -320*j + 326*j - 240. Let f be (-16)\/j + 228\/20. Solve -9 + f = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11821501, -11821500, -11821499, -11821498, -11821497, -11821496?\n\"Answer: u - 11821502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10)*(-75)\/2220*-2?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Let f(t) = t**3 + 7*t**2 + 7*t + 3. Let k be f(-6). Is c\/k - 110\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -10*k + 280. What is the remainder when 56 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*q + 132*q - 4 = 0. Solve -k + q*o - 6 = k, o + 12 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 102603.4436 and 10.\nAnswer: 102613.4436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11331 and 148698.\nAnswer: 187210782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 3:34 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40412 or -40410?\nAnswer: -40410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231205 is divided by 1596.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*l - 35*l - 8. Suppose -9*r + l = -5. Which is smaller: r or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88272 (base 9) to base 13\nAnswer: -20858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56017 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*((r*r**(-2\/9)*r)\/r)\/r*r*r)\/r*r*r*r**(5\/4)*r)**(-2\/13)\/((r**(-1\/5)*r**(-1\/7))\/(r*r*r*r\/r**(2\/7))**(-2)) assuming r is positive.\nAnswer: r**(-68147\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -123601091.8 rounded to the nearest one million?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b**2 + b + 2. Suppose 5*h = 2*i - 22, -4*i + 0*i = 3*h + 8. Suppose 5*f - 2*r = -7, -2*f + 5*f + 4*r = i. What is the tens digit of x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*z**2 + 779*z**3 + 394*z**2 + 215*z**3 + 204*z**3.\nAnswer: 1198*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 15 = 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 9) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**5 + 543204*i**3*o - 28*i*o + 150*i + 57*o wrt i.\nAnswer: 20*i**3 + 3259224*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q - 49 = 73*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2129753 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51 + 51 + 2*z**3 + (5*z - 2*z - 4*z)*(-2*z**2 - 8*z**2 + 5*z**2) - z**3 + 0 + 0.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {a: 1, u: 3, n: 6, z: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + (-200)\/(-12). Let h = 26 - n. Let o = 25 - 5. What is the least common multiple of o and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(125) + 2)**2*6*-6*5*6.\nAnswer: -162000*sqrt(5) + 723600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 424277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7535768?\nAnswer: 2, 941971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2 + 3) + (-8157518)\/3957005?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(7*o**5 - 52*o**5 - 4*o**5) - 2*o**5 - 3*o**5 + 3*o**5.\nAnswer: 47*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -835*i**3 - 5*i**2 - i + 5. Let h(u) = u**3 + u**2 - 1. Give -5*h(q) - k(q).\nAnswer: 830*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(95)\/(-2*sqrt(5)) + -1 + sqrt(475))**2*-6.\nAnswer: -4635\/2 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -41, -21622, -5 in descending order.\nAnswer: 2, -5, -41, -21622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917623673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37644 bigger than -1908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -20 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.173438 grams to milligrams.\nAnswer: 173.438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/(132\/4752) - -8*1. Let v(k) = -k**2 + 14*k - 11. Let f be v(11). Put 5, p, f, -1 in decreasing order.\nAnswer: f, 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*b**2 - 2*b**5 + 110*b**2 - 74*b**2 + (3*b**2 - 4*b**2 + 0*b**2)*(-b**3 + 0*b**2 + 0*b**2).\nAnswer: -b**5 - 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 7) + 6 - (1 - -1). Calculate the greatest common factor of s and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfq when three letters picked without replacement from yqyffqnqqnqffnfqnq?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3*s - 2*s)*(1 - 4 + 1) - s - 16*s - 7*s + (0*s + s + 0*s)*(1 + 1 + 0).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28548*x**2 + 7*x - 46 wrt x?\nAnswer: 57096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c + 525 = 0. Let a = 58\/27 + -4369\/27. Let g = c - a. Find the common denominator of g and -34\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.2 (b) 0.1 (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 * 7.533\nAnswer: 2.56122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-25)\/(-85)) + (-223 - -231).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10832, -76, -1, -4 in increasing order.\nAnswer: -10832, -76, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h - 18*h - 46*h - 84 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5152209?\nAnswer: 3, 991, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26921\/30 - -4591\/5. Find the common denominator of h and (21 + -8 - 7002\/537)*6\/4.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*z + 4)*(2 - 4*z - 2) - 4*z + 4*z + 2*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/121 + -2648\/847. Let a = 191\/63 + j. Let i(l) = -l + 5. Let d be i(4). Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1004900*o - 2*o**2 + 1004900*o. Let q(i) = 4*i - 4*i - 24*i**2. Calculate q(d(w)).\nAnswer: -96*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/12817083 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88789 is divided by 11086?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - f = -258 + 1748, 4*w = -4*f + 1192. Calculate the remainder when w is divided by 283.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 77?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 11*z**2 - 5*z - 6. What is the lowest common multiple of 4 and b(10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35090 and 9?\nAnswer: 315810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 16*z - 18 = 18*z, 0 = -4*p - 5*z - 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/8 + 3\/4 + -1. Let i(z) be the first derivative of 3 + 7*z + 7\/2*z**y. Let v(r) = -11*r - 11. Calculate 8*i(c) + 5*v(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) - 5\/(-3)*-50. Let a = p + 122. Calculate the remainder when a is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0*j**4 - 1\/50*j**5 + 26*j + 0*j**2 + 0*j**3 + 0. Factor u(l).\nAnswer: -2*l**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -15. Let n = u + 29. Calculate the greatest common divisor of n and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 58754*r + 18021540.\nAnswer: 2*(r + 310)*(r + 29067)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 5*u - 10, 4*s = u + 7. Suppose 2*a + a = s*q + 150, -4*a = -3*q - 199. Suppose 3*n - 11 = a. What is the remainder when 78 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10168*y = 4*h + 10173*y + 13, 53*y + 342 = 15*y for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 853398.\nAnswer: 853398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/853 and 27\/3412.\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/84*(-6)\/(-28)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 11) in base 10?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + x = -63, -o - 82 = -2*x - 145. What is the remainder when 377 is divided by o?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1234303 + -3500503. Round g to the nearest ten thousand.\nAnswer: -2270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*p - 305. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:01 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cppcccc. What is prob of picking 1 p and 1 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -85*n**3 - 4*n**2 + 6*n - 3. Calculate f(1).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -4 + (-2697)\/(-870))*(1 - -5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-4)*3\/6. Find the second derivative of 27 - 7 - 14*q**2 + 51*q**x + 70*q**2 + 4*q wrt q.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**2 + 10*v**2 + 4*v**2 - 3*v + 3*v**2.\nAnswer: -2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 + n + 14. Let c be b(-2). What is the nearest to -9 in 0.5, 4, -9, c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 19. Let w = 21 + -5. Solve 3*o + o + w = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 11 + 17)*(2*f - 5*f + f) in the form q + y*f and give y.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -7*m + 69 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -4, -8 in ascending order.\nAnswer: -8, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 8*h. Let x(l) be the first derivative of -l**2\/2 + 182. Calculate x(o(j)).\nAnswer: -j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 209b8b?\nAnswer: -209b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427 - 18. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 4, 1\/7, -1.66, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -822 + 3799. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/4*(5\/3)\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 24) + (0 - -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from hpnhoopopnnh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 15*c**2 + 13*c + 5. Calculate y(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.681 + -1.76. What is f rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6)*-10*11. What are the prime factors of (-319)\/i + 1\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 0, 5, -72, 11, -3 in increasing order.\nAnswer: -72, -3, 0, 4, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-28) - 13\/(-4). Suppose -p*k - 11 = 4*s + 5, 2*s = -10. Calculate the highest common factor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:56 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 2, b: 9, p: 1}. Give prob of picking 1 b and 2 q.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -97726*g - 1465812. Give n(-15).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -67. Let r be (-19)\/(-7) - (-4)\/14. Let t = r - z. Calculate the lowest common multiple of 2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 17*d - 5. Let r(z) = 7*z - 2. Let j(a) = 4*o(a) - 9*r(a). Give j(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 + -143. Suppose 2*j - 103 = 4*m + k, 5*j + 5*m = 550. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 25. Suppose 3*l - c - c + 9 = 0, -3*c + 6 = -u*l. Let k be (2000\/6)\/(l\/(-2700)). Round k to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 18*o + 4 = 0. Let t be (o - 18\/4)*(-12 - -2). Let u = 119 + -101. Solve 4*z + 3*k = 26, t*z - u = -k + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 0.07, 0.5 in descending order.\nAnswer: 0.5, 0.07, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:50 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -125? (a) -2\/7 (b) 156 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2*s - 235*d*s**2*t - 2*d*s*t + 4020*s**2*t - 3*s*t + 1 wrt d?\nAnswer: -4*d*s - 235*s**2*t - 2*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -22140?\nAnswer: 22141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 8597688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39771422 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736.994 meters to nanometers.\nAnswer: 736994000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117) + 1 + sqrt(117))**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 + 161 = -6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 114*w**2.\nAnswer: 2*w**2*(w - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35574441 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3 >= -11\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -685*52.4735\nAnswer: -35944.3475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-18)\/u*u**(-11) assuming u is positive.\nAnswer: u**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/531307 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*s - 550*s + 3845 = -69*s + 59954 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 9. Let c be f(-9). Let l(b) be the third derivative of -b**4\/24 + b**3\/2 - b**2. Let r be l(c). Solve -r*k - 2*k = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005720237 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -600.24609 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 + c**4 - 5*c**4)*(2*c + 0*c + 0*c) + 2*c**5 - 5*c**5 + 2*c**5 + (-c**4 + 0*c**4 + 2*c**4)*(8*c - 15*c - 11*c).\nAnswer: -21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 12:38 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7711*s**3 - 12966*s**2 - 4*s. Let g(a) = -30844*a**3 + 51809*a**2 + 15*a. Let i(y) = -4*g(y) - 15*l(y). Find the third derivative of i(z) wrt z.\nAnswer: 46266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4109 divided by -4.\nAnswer: 4109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-384)\/(-392))\/(21\/49))\/2.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j + 1. Let b be u(-3). Let q = 1 - b. Let g(i) = 7*i + 1. Let o(n) = n. Let z(x) = g(x) - 6*o(x). Give z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 4 = -5*j, -2*j = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/66)\/(511\/146)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u + 14. Let t(f) = 10*f**2 + 14*f + 62. Let m be t(-6). Let z = m + -302. What is the remainder when z is divided by a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 0)*(-2 + 1). Let s = 46 - 28. Suppose i*l = -y + 128, -2*l - y + 32 = -s. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -398873\/133 - -2999. Let n = d + -22\/133. Which is bigger: n or -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 18*o + 1188 = 0. What is the greatest common factor of o and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**7\/210 - s**6\/40 + s**4\/6 - 18*s**2. Factor y(k).\nAnswer: -k*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -5 + -10 + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3681 + -3701. Is m < 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + 13 + -2 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -36, 0, -1 in descending order.\nAnswer: 5, 0, -1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -728*d*j**3 - 14198*d - 51*j**3 + 24847*j**2 - 3*j + 3 wrt d.\nAnswer: -728*j**3 - 14198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*s + 4*s + 15 + 11*s)*(-5*s + 2*s + 2*s) to the form i + x*s + v*s**2 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + 1 + (0 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/375*(-80)\/96?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 25, -50 = -0*s - 5*s - 2*v. Suppose r = y - 2, 4*y - 4*r = 3*y + s. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1899.084 kilograms to nanograms.\nAnswer: 1899084000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 23. Suppose 0*d = d - 4, 3*d = -4*q + 20. What is the greatest common factor of i and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1898, -1906, -1928, -1970, -2038, -2138?\nAnswer: -2276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-188)\/308 + (-2)\/(-11). Sort 4, i, -3 in descending order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-212)\/16)\/(-27*(-42)\/13608*9).\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0*h**2 + 0*h**2)*(2 + h - 2) + (5*h**3 + 7*h**3 - 3*h**3)*(2*h + 0 + 0) - 2*h**4 - 3*h**4 + 4*h**4.\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(2299)*-4 - sqrt(2299)) + sqrt(2299))*2 + sqrt(2299) + 1 + (sqrt(342)\/sqrt(9))\/sqrt(2) + 1)**2.\nAnswer: -912*sqrt(19) + 109780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:55 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (385\/65 + -6)*(-20)\/10.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72484 divided by -2.\nAnswer: -36242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000182052 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -601678.7 take away 73.35?\nAnswer: -601752.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18630, -3, -51, -5 in ascending order.\nAnswer: -18630, -51, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2. Let w(c) = 46*c**2. Determine w(l(g)).\nAnswer: 414*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - f + 19 = 0, -3*z - 4*f = -9*f + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7.3. Which is bigger: k or -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107598, -215222, -322850, -430482?\nAnswer: -538118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)*z**(5\/6))\/((z*z\/(z\/z**(1\/4))*z)\/(z*z*(z*z**(-9))\/z*z)))**(-40) assuming z is positive.\nAnswer: z**(866\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 76 = 0. Let o(q) = y - 5*q + 4*q**2 + 16*q + 6*q**2 - 9*q**2. Is o(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095974 is divided by 776.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*w**2 + 9*w - 3*w**4 - 56*w**6 - 102*w**2 + 47*w**6 + 19*w**4 + 22*w**2 wrt w.\nAnswer: -1080*w**3 + 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1196, -1222, -1268, -1334, -1420?\n\"Answer: -10*r**2 + 4*r - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/582353 and 4\/217765.\nAnswer: 282441205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o, -10 = -3*l + 7*o - 2*o. Let n = 2662\/7 - 380. What is the closest to 0.1 in n, 4, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2679150 and 41\/6.\nAnswer: 2679150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + -2*-2*sqrt(1331) + sqrt(1331))**2.\nAnswer: -110*sqrt(11) + 33276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -707 + 708. Let l(o) = -o**3 - 10*o**2 + o + 9. Let v be l(-10). What is the units digit of (1 - (v + b))*28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513 (base 10) in base 11?\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*c = 426511 + 1028989. Is c a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -14. Calculate the remainder when 41 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:40 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-117313)\/28*-4 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 44, 97, 142, 167, 160?\n\"Answer: -2*v**3 + 14*v**2 + 21*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 22. Let t be z(15). Let q be (1*t)\/((-29)\/29). Sort 1, -2, q in increasing order.\nAnswer: -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3208 = -4*u, -4*u - 12 = -8. Let k = o + 1805. List the prime factors of k.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2243152533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -39*i**3 - 6*i**2 + 8*i + 12. Calculate u(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 14 = i, -55 = -5*g + i + i. Suppose -4*d = -g*d - 1400. What is the tens digit of d\/(-25) - 2\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = 5*c + 5*j + 112, 0 = 2*j - 8. Let l be 2*((-7)\/(c\/6) - -1). Put -0.5, -2\/9, l, -2 in decreasing order.\nAnswer: l, -2\/9, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/50 + d**4\/15 + d**3\/15 - 6*d. Solve z(x) = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31173959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -3*(sqrt(1100) - sqrt(1100)*1) - (sqrt(1100) + sqrt(1100)*2*3) - -3*(sqrt(1100) + sqrt(1100) + -1)*-1)**2.\nAnswer: -720*sqrt(11) + 158409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 220738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -94080 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -346*u + 686*u - 342*u - 26 as k*u + r and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -2\/25, -6, 103, 2\/11?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/8 - 238*o + 19976 = 0. Calculate o.\nAnswer: 88, 1816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -69753259\nAnswer: -55802607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237654.8 kilograms to tonnes.\nAnswer: 237.6548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 2*y**2 + 3*y**2)*(0 - 1 - 1) + 5*y**2 - 3*y**2 + 0*y**2 - 3 + 3 - 5*y**2 + 0*y**2 - 5*y**2 + 4*y**2 + (0 + 2*y**2 + 0)*(1 - 5 + 5).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 145*w**2 - 89*w + 23010. Calculate h(74).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/24*-2)\/(5\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1007146.\nAnswer: -3021438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2927268?\nAnswer: 2, 3, 31, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69449339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*h - 30*h**3 + 23*h + 30*h - 924*h**3 + 16*h.\nAnswer: -954*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - j - 83 = 0, 2*j = -5*c + 5*j - 108. Let q = 126 - 90. Let m = q + c. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 32005350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 7:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14057930 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d5 - -1?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 20 = 13*r. Suppose -32 = -2*g - 2*v, 4*g - v - 23 - 21 = 0. Sort r, -4, g in ascending order.\nAnswer: -4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Let z(w) = w**3 + 7*w**2 + 5*w - 2. Suppose -2*r - 13 = -1. Calculate the remainder when z(r) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 19042, 3 in increasing order.\nAnswer: 3, 17, 19042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -130223222220?\nAnswer: -130223222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 2\/3*c**3 + 1\/12*c**4 + 42 + 0*c + c**2. Give f(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:38 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209 + 209 - 28*b)*(15 - 41 - 1) + (2 - 1 - 5)*(-b + 0 + 0).\nAnswer: 760*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3089025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*c - 21, -5*o = c - 4*c + 30. Suppose 3*i = c, -3*x - 6*i + i + 88 = 0. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 41 = -3*g, -10*y - 11079 = 5*g - 7*y - 11138 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Suppose 4*v = 2*v + f*q - 8, 0 = -2*v - q - 11. Let x(o) = 2*o**2 - 2 + 6 - 5*o - 3*o**2. Calculate x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/8, -4\/7, -3, 22?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 554744 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*v - 33 = 0, -z + 1 + 5 = 2*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10816937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaikhakkvkkakggk. Give prob of picking 2 k, 1 i, and 1 g.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 2*g**2 - 6*g - 1. Let z(f) = -7*f - 10. Let a(v) = 3*v + 5. Let h(x) = -13*a(x) - 6*z(x). Determine -6*h(o) + 5*j(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 8:23 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 0)*(6*m + 0*m - 2*m)*(-4 + 5 - 4)*(-11 + 14 - 13) to the form w*m + u and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*((-1)\/(-9))\/(8382\/(-1143)))\/(2\/(-1)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-38)\/4)\/((-126)\/84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2555 + 5530 = 539*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19178 is divided by 278?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(-1)\/l*l)*l)*l)\/((l*(l\/(l*l\/l**(-1)))\/l)\/l))**(-13\/3)\/((l*l**(2\/11)*l*l**(-2)\/l)\/((l**1\/l)\/l*(l**(-1\/2)*l)\/l)) assuming l is positive.\nAnswer: l**(-301\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 8*y**2 - 4*y - 3. Let v be o(7). Suppose 0 = -4*n + 3*a + 57, 0 = -n + 2*a + v. Solve 0*t - 3*t = 3*x - n, -4*t + x + 11 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 - 2*k + 5. Let z(r) = 2*r**3 + 3*r**2 + 5*r - 10. Let p(t) = 9*x(t) + 4*z(t). Let h be p(4). Put 5, h, -5 in decreasing order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.616 + -10. Round t to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 21 = -4*v, -v - 3*i = 2*v + 15. Let r be (4\/3)\/((-394)\/(-78) + -5)*1. Let p(o) = 4*o - 2. Let j(k) = 17*k - 8. Calculate r*p(f) + v*j(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -x + 258, 5*x - 9 = 2*x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10670000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/19 - (-12)\/114?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -315, -629, -943, -1257?\n\"Answer: -314*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36aa + -1?\nAnswer: 36a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (787\/5)\/(202\/1010) is divided by 71.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 8 - 17)*(27*g + 45*g - 22*g + 37*g).\nAnswer: 4176*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s - 507 + 1344 = 0. What is the greatest common factor of 9641 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60\/5797 - -75241\/11594. Suppose s*a - 5 - a**2 - 1\/2*a**3 = 0. Calculate a.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 7379892*p**2.\nAnswer: 3*p**2*(p - 2459964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84862593 to the power of 1\/2, to the nearest integer?\nAnswer: 9212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, -0.9, 8, -3, -8, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, -43, 73 in descending order.\nAnswer: 73, 2, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 bigger than 5245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, 1 g, and 1 a when four letters picked without replacement from {g: 1, l: 1, a: 2, j: 1, e: 1, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*p + p = 0, -3*p = 2*y - 6. Let u(i) = 65*i**2. Let b be (-4 - 0)*(28 + (-4718)\/168)*120. Let c(v) = 5*v**2. Give b*c(r) + y*u(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2976 by 2.\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.072919 and 1.\nAnswer: -0.072919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 2. Let j = z - -74. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63743\/21970 + 3\/2197. Suppose -4*q + 4*s = -836, -3*q + 5*s - 872 = -7*q. What is the common denominator of p and (-1)\/(-4)*q*(-2)\/(-75)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 + 5 = 0. Suppose 2*y = -4, -1 = u + y + i*y. Suppose 1 = -k + 3*b + 4, 55 = u*k + 5*b. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-135))\/((-2)\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11075110 + -11075100.999926. Let t = r + -9. Round t to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16981793, -33963548, -50945303, -67927058?\n\"Answer: -16981755*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + -848\/7. What is the biggest value in -3\/8, 0, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {v: 2, u: 2, l: 4, w: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 15 = -4*s + 36, b = 2*s - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -35*m**4\/12 + 10*m**3 + 10*m**2 + 143*m. Factor z(a).\nAnswer: -5*(a - 2)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 10*j**2 + 9*j + 1. Let p be l(9). Let t be 1\/8 - 0\/p. What is the biggest value in t, 2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {g: 1, l: 2, a: 5, b: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let s = -2 - -3. Let a be 0\/(-1 + (-4)\/(-2)). What is the closest to a in -0.5, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192885750 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)*j*j**3\/j*j*((j*j\/(j*j**(2\/5)))\/j*j)**12*(((j*j**1\/j)\/j)\/(j*j**1))\/((j\/j**(2\/9))\/(j\/j**(-2\/17)*j)) assuming j is positive.\nAnswer: j**(8216\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkdddkkdkkkkkkkkkkk. Give prob of sequence dd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 2. Let q be t(7). Let m(p) = p**3 - 4*p**2 - 5*p + 4. Let z be m(q). Is -185*z\/((-16)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/292)\/(528\/(-308)) and -3\/20?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221102110220 - -212?\nAnswer: 221102111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -542 + -3?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10825*m**4 - 13*m**2 - 57*m + 2 wrt m?\nAnswer: 259800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 5*y - 56491 = 8*k, 4*y = 14*k - 197786. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 17 - -6 - (-13 - -36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1192619604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 0*r**5 + 0*r + 0*r**3 + 2 - 1\/6*r**6 - 1\/2*r**2 + 0*r**4. What is the second derivative of p(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 36 = -4*s. What is the remainder when 53 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 3*z**2 + z + 1. Let a be i(3). Suppose 0 = 2*s - 2*c - 18, 3*c + 3 + 8 = -s. Calculate the remainder when a\/20 + 68\/10 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from wuxwwwwwwuwuuwuww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*s - 18, 4098*s - 4100*s - 3 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 283175407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + h**3 - 3 + (2413 - 2413 + 773*h**3)*(-13 - 8 + 8) in the form r*h + i*h**3 + p + t*h**2 and give i.\nAnswer: -10048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 311 = 4*t, -4*t + 2*g - 5*g - 351 = 0. Let m be (468560\/t - 2) + (-12)\/(-126). Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 1. Let f be (0 - -1)\/(6\/(-12)). Let g be h(f). Let p = 39 - g. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(180) + (sqrt(180) - (sqrt(180) - (sqrt(180) - (-1 + sqrt(180)) - sqrt(180)) - sqrt(180)))*-5)*3*3*6 + 2)**2.\nAnswer: -243648*sqrt(5) + 666256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 56849171.\nAnswer: -56849171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2678863 - 2678863 + 10645*h.\nAnswer: 10645*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -50*v**3 + v**2. Let b be (3\/9)\/(4\/(-84)). Let i be b\/8 - (-8)\/(-64). What are the prime factors of n(i)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (600\/(-1680)*2*3)\/((-6)\/2).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -406, -808, -1210, -1612?\n\"Answer: -402*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*g + 41926, -5*y - 9 = 21. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1054*f**3*m**2*t**2 - 9904*f**3*m**2*t + f**2 - 2*m**2*t**2 + 28582200*t**2 wrt f?\nAnswer: 6324*m**2*t**2 - 59424*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in -2.1, 0, 1\/11, 131, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -5*w**2\/2 - 2*w + 9. Let c(b) = -14*b - 5. Determine -4*c(o) + 11*v(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 22249 = -4*i + 14236. Is 55 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y - 31. Let i(u) = 4*u - 11. Let g(w) = -17*i(w) + 6*k(w). Give g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 + (0 - 0) + (106 - 96)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42845 is divided by 3373.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from sssdsrsdssdssss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.072, -87, 4, 4\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-264)\/13 + 24)\/((-10)\/(-65))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 7 = -4*i. Let v(r) = -2*r - 10. Let x be v(i). Suppose x = 5*s - 3*s. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*n**2 - 10420*n + 454080 = 0. What is n?\nAnswer: -132, 688\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13990*f**2 - 5263*f**2 + 1359*f - 1359*f.\nAnswer: -19253*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*w - w - w - 7*w)*(7*w - 7*w + 4*w) to the form x + v*w**2 + d*w and give v.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 + 2. What is the third biggest value in -0.2, l, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 12. Suppose 5*n + 0 = u + 9, q*u + 8 = 0. Solve 2*g + n + 3 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25727 or 25726?\nAnswer: 25726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 5*d - 188 + 202, -5*s + 4*d = 68 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 40*c - 84. Calculate t(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k - 14 = 0. Let w be 4\/(-14) - 394\/k. Let m be (-4)\/(-2) + -3 + -2 - -10. Calculate the greatest common divisor of w and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 844613 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -1. Suppose w - 87 = -2*w - t, 0 = 4*t - 12. Suppose -4*l + 8*l = w. Solve 0 = -c + n*o + 6, 2*c + 4*o + l = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, p: 10}. What is prob of picking 2 r and 2 p?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-8)*y*y**(2\/19) assuming y is positive.\nAnswer: y**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9593 + 9559. Let v = 159\/1390 - 2\/139. What is the nearest to -1 in 0.3, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 8, 5*z + 118*s = 218*s - 98*s + 254 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**29*l**(-2\/85)*(l**(-1\/4))**(10\/9) assuming l is positive.\nAnswer: l**(45439\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*z + 47 - 15 = 0, -2*s - 8 = 3*z. Let y = 15 + s. What is the greatest common factor of y and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -406\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233804 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**2 - 3*q. Let v(k) = -4*k**2. Determine v(c(n)).\nAnswer: -256*n**4 + 192*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426443 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -523, -522, -521, -520, -519, -518?\n\"Answer: a - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 807720 - 858498 = 1125367. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uccs when four letters picked without replacement from smcnusclcuslsmlmcn?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*(j*j**6\/j)\/j)\/j)\/j)\/j)\/(j\/j**(-1\/5)))**(-33) assuming j is positive.\nAnswer: j**(-297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(539)*3 - (-3 + sqrt(539)*3))**2.\nAnswer: -756*sqrt(11) + 174645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*x + 43 = 6*b, -1 = -x. Calculate the least common multiple of b and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k)**(-39)\/(k\/(k\/(k*k**4))*k*k**(-4))*k**(3\/4)*(k*k**6\/k)\/k*(k\/k**(2\/5))**(-4\/19) assuming k is positive.\nAnswer: k**(1377\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -285, -279, -269, -255?\n\"Answer: 2*x**2 - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**4 + 3*r**4 + 3*r + 1 + 13*r**2 - 13*r**2 as o*r**4 + v + j*r**3 + l*r**2 + d*r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2894 and 3.5.\nAnswer: -10129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 2412108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + 7*w - 6. Let d be v(6). Let o = -1 - -6. Which is the third biggest value? (a) o (b) d (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 3*j + 2*j)*(324427 - 324982 - 2*j - j) - 2*j**2 + 2*j**2 + 2*j**2 to the form g + y*j + v*j**2 and give y.\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*b**(-3))\/b*b*b)\/b*b**(-1\/3))**23 assuming b is positive.\nAnswer: b**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10519376.\nAnswer: 2, 7, 93923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from {x: 17, n: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 + 0 - 11 - (-1 + 34))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10351.\nAnswer: 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/53702 and -73\/1894.\nAnswer: 50855794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (41 + -5)\/((-4)\/24) - 3. Let l = -25 - h. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -512, -5.\nAnswer: -512, -5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 4*j**4 + j**3\/3 - 24*j + 43. Differentiate r(i) wrt i.\nAnswer: 48*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + 0.28. Which is the closest to 0? (a) 2\/3 (b) l (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*r = -120, 5*r - 66 = -6*g + 3*g. Suppose 6*q = 3*q + 324. What is the highest common divisor of g and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181666253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 133*k**2 - 2. Let g(s) = 8646*s**2 - 131. Let v(p) = 2*g(p) - 131*j(p). Let y(w) be the third derivative of -w**4\/12 + 27*w**2. Give y(v(x)).\nAnswer: 262*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56427973 to the nearest integer?\nAnswer: 7512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*w + 10035 = -568*w - 189 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*t + 3. Suppose x + t*x = 45. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 35000*t\/9 + 153125000\/9.\nAnswer: 2*(t - 8750)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + 3. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*o + 22433 - 22433 to m + r*o and give r.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 318043125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -545 + 1727\/3. Let r = x + -1003\/42. Calculate the common denominator of 17\/2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 57458?\nAnswer: -57468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213.55657 + 268.55657465. Let g = -55 + j. Round g to 7 dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4905\nAnswer: 1\/1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-7))\/n)\/n**0*(n*n\/n**(2\/17))\/n**1*(n**(1\/2)*n)**(1\/45)\/(n**(2\/5))**(9\/11) assuming n is positive.\nAnswer: n**(-30359\/5610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -77*i**5\/20 + 179*i**2\/2 - 223*i + 69. Let k(m) be the first derivative of v(m). What is the derivative of k(s) wrt s?\nAnswer: -231*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -1 - (-5 - -3). Let f = 0.7 + -3.7. Let w = 5 + f. Which is the closest to l? (a) 2\/3 (b) -1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(6 + -2)*74 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 25 - 1 = 3*s, 0 = 4*g + 4*s - 12. List the prime factors of (3 - 8) + 5808\/(g - 3).\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*x = 66182 + 20443 - 26565 for x.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**4 + 5*a**3 + 284*a**2 wrt a?\nAnswer: -72*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5235 < 5236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15478 + 15482. Suppose -1 = -6*g + 5*g, 74 = 3*b + 2*g. Calculate the remainder when b is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25219, 25215, 25207, 25195, 25179?\nAnswer: 25159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvtvtvvtx. Give prob of picking 1 v and 1 t.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 - 976688904*x + 158986869199453536.\nAnswer: 3*(x - 325562968)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 750. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*i**2 - 7859570*i + 7859570*i - 122*i**2 - 261*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 2*k - 2*k)*(0*k + 0*k - 2*k**3).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70406 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 17*s**5\/60 - s**4\/6 - 4*s**2 + 23. Let u(k) be the second derivative of i(k). Find the second derivative of u(r) wrt r.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102220010310 (base 4) in base 10?\nAnswer: 4882740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q - 5*q)*(-4*q**2 - 2*q**2 + 2*q**2 + (1 - 1 + q)*(-3 + 3 - q)).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 3 + 1\/1 + 0. What are the prime factors of (-27980)\/(-140) + x\/14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d - 968*d**2 - 29*d**3 + 2*d**3 + 1933*d**2 - 966*d**2 in the form l*d**3 + a*d + j + x*d**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2af + -d?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/17))**(-33)\/(z\/(z\/(z\/z**(2\/15)))*z**(-7\/5)*z*z) assuming z is positive.\nAnswer: z**(616\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 11*l - 266791 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = -3*c. Let s = 78 + c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164128 - -15614.3\nAnswer: 179742.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6748*t - 6740*t + 20234*t - 6746*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9608 - 40.482378.\nAnswer: -9648.482378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 + 82?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-1856)*29*2162\/(-23).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 less than -0.0287?\nAnswer: 0.3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1.811 (c) -4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 184539.5 microseconds?\nAnswer: 184539500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 - -5.15. Sort i, 0.4, -3 in descending order.\nAnswer: i, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and 40695.\nAnswer: 65112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = 6*b - 2*b, 0 = -3*d + 4*b + 20. Suppose 0 = d*j - 94 + 262. Let h be (0 + 36\/j)\/((-2)\/14). What is the greatest common divisor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1185 and -73\/5925?\nAnswer: 5925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/135100 and 56\/13119175.\nAnswer: 367336900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((200\/(-15))\/10)\/2)\/(56\/(-3)). Which is smaller: -3.9 or j?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 18. Let x(u) = u + 7. Let p be x(-5). Let f = -1 + p. Sort n, 0, f in ascending order.\nAnswer: 0, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 1958*p - 49556.\nAnswer: -2*(p - 953)*(p - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Suppose -2*m + 6*m = -8. Let s(j) = 16*j**2 - 7. Let p(n) = -5*n**2 + 2. Let w(h) = m*s(h) - 7*p(h). Give l(w(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (87 - 96) + 1 + -4 + -21 + 63\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 955\/4 - 1185\/4. Let j = -59 - d. Sort -5, j, -0.4 in increasing order.\nAnswer: -5, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 384 = -69. Let g = -57 - c. Calculate the least common multiple of g and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 + s - 2. Let l(z) = -z + 11. Let u be l(14). Suppose 56*c - 57*c = -20. Calculate the remainder when c is divided by b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/18*1233\/2. Round r to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 4 + 4 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4027.\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3103*x - 3102*x - 3103*x + 12413*x - 3111*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -752325?\nAnswer: -2\/752325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.95117 - -0.04883. What is the nearest to 0.1 in m, -2, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w**3\/3 + 86*w**2\/3 + 164*w\/3 - 80\/3 = 0. Calculate w.\nAnswer: -5, -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145791 and 8439.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 60 + 1190. Calculate the greatest common factor of 175 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -141*m + 136*m - 8*q, 84 = -2*m + 6*m + q for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -16, 16, 102, 266, 532, 924, 1466?\n\"Answer: 4*u**3 - 9*u**2 + u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -109*v**4\/24 - 31*v**3 + 180*v**2. Find the first derivative of z(c) wrt c.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -50. Solve -1 = 2*f - z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -121, -147, -191, -253, -333?\n\"Answer: -9*i**2 + i - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*a - 76. Let x(h) = 11*h**2 - 19*h + 59. Is x(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 4 - 4)*(0 + 0 - 2*q) - q**5 + 2*q**5 + 0*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 4. Let d be t(0). Suppose -h + d*h = 9. Suppose 10*p - 5*p + h*k = 15, -p - 5*k = -3. Sort -3, p, 2 in descending order.\nAnswer: p, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000686787 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 16. Let d(p) = 24*p**2 - 4*p + 3. Let b = 60 + -33. Calculate the remainder when d(r) is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1107368 + -1?\nAnswer: -1107369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26a10 - -318?\nAnswer: 27228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*(3\/3)\/3. Is w + 17 + 2 + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -143, 959, 3971, 9853, 19565?\n\"Answer: 160*u**3 - 5*u**2 - 3*u - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - z**3 + 4*z**2 + (116 - 152*z**2 - 116)*(-2*z - 2 + 2 + 1) as y + v*z**3 + o*z**2 + x*z and give o.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-1 - (-8)\/2). Is 1 + 1\/(b\/(-126)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65181330 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:43 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.9 - 18. Which is bigger: m or -12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 20 + -495 + 487 + -70 + -2.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 9*u = -4. Suppose -5*z + z + u = 3*d, 5*d = 5*z - 40. Suppose -214 = -7*f + z*f + 5*r, -2*r + 179 = 3*f. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1169 and -337548101688.\nAnswer: -337548100519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*z - 10146 = -35*z. Suppose j + 2*j = -378. Let t = z - j. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423119 divided by 31.\nAnswer: -13649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/36)\/(((-42)\/(-4))\/(-3)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 54*f**2 + 5*f + 2. Calculate h(2).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -261*k**2 + 1500*k + 425. Determine f(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/28 and 12\/4297.\nAnswer: 120316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 30.4628 and -386.\nAnswer: -355.5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/65)\/(7\/(-6)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 453.899 + 0.101. Let u = -229 + b. Let a = u + -225.111. Round a to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u**2 + 15 + 6 + u**3 + 0*u - 17*u. Does 24 divide t(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*l**3 - 2753*l**2 - 158*l - 151086981 wrt l.\nAnswer: 21*l**2 - 5506*l - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 + 3)\/4)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1876, -8378, -19204, -34348, -53804, -77566, -105628?\n\"Answer: z**3 - 2168*z**2 - 5*z + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 61670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0.3 (c) 13173 (d) 4\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let f be (o\/1)\/((-2)\/(-6)). Suppose -2*b - 48793*n = -48798*n - 37, 4*b - 2*n = 2. Sort 6, 5, b, f in decreasing order.\nAnswer: 6, 5, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -43795 and -0.023.\nAnswer: -43795.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 7. Let b(i) = 5*i**2 + 11*i + 23. Let p(k) = -k**2 + k - 1. Let j(w) = b(w) + 4*p(w). Let r be j(-13). Give n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.423 + -3.123. Which is the biggest value? (a) z (b) -1 (c) 2 (d) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34992 and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1 + 6 - 4) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = -1. Let z be (1 - -11)*(-1)\/a. Let x = z + 13. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.034 and 5945.\nAnswer: -202.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, -2548?\nAnswer: -2548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/192394 and -47\/50996?\nAnswer: 4232668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -1 + 7\/2*q**2 - 6*q - 5\/3*q**3 + 1\/4*q**4. Does 4 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7373 + -3?\nAnswer: 7370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 40*a**2 - 397*a\/5 - 198\/5.\nAnswer: -(a + 1)**2*(a + 198)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (sqrt(1008) - 4*(sqrt(1008)*-2 + sqrt(1008))**2).\nAnswer: -4031 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4862*a - 3230. Let l(w) = 128*w - 85. Let z(f) = -4*k(f) + 153*l(f). What is the first derivative of z(m) wrt m?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.05 - -0.05. Let s = 4.999982 + d. What is s rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 1981 = -2047. Solve 2*a + 32 = -4*n + l, -3*n - 6 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -3*g + 12, 2*g + 4*m = 14. Let z(i) = i**3 + 9*i**2 - 8*i + 21. Let w be z(-10). Calculate the greatest common factor of w and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2765551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**2\/2 - 86. Let v(t) = 153*t. Calculate l(v(u)).\nAnswer: -153*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/1817 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2725 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126480 divided by -126480.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 308639 divided by -178?\nAnswer: -308639\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2, -3*n - 12 = 2*s + n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 6*b - 27. Let m(p) = -p**2 - 8*p - 5. Let r be m(-7). Let c be 4\/5*30\/12. Solve -c*k = -5*z + 4 - r, 3 = -4*z - b*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b2c - -7?\nAnswer: 2b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-14))\/(5\/(-45)) and -59\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -3.8. Let g = 4 + t. Which is the smallest value? (a) -4 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.052 + 0.084. Let a = c + -0.162. Round a to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34677 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63819 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.002 - -0.002. Let m = a + 11.18. Is 0 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 29. Let a(i) = -500*i**2 + i + 1. Let k be a(1). Let j = 489 + k. Calculate n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18*(17 + -8). What is the hundreds digit of t\/(-8) - (5 + 5945\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9704, 18446, 27188, 35930, 44672?\nAnswer: 53414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f + 24*f**2 - 21*f**2 + 0 + 10. What is the tens digit of t(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9176 rounded to two dps?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*c + c + 43, 0 = c - 4*n - 29. Let k = c - 40. What is the tens digit of 91 + 2 - 9\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.183 + 0.817. Let p = -34.02 - -34. Let o be ((-1)\/1)\/(1\/5). Which is the second smallest value? (a) d (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggeeeelggeegl. Give prob of picking 1 g and 1 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*s = 50, 4*s + 4 = -3*w + 8. Let a be -10 + w\/20*15. What is the third biggest value in -1\/12, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-5) + (0 - -9). Let g(z) = -z + 4. Let o be g(2). Let x = n - o. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.2656 + -0.1944. Let s = -15.6 - k. What is s rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41593.37675 to the nearest 10.\nAnswer: 41590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 230 - a?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (41 - 48 - (-13 + (-2 - 4)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*i + 16 = -2*x, -x = -4*i - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-114)\/(-24))\/(-3). Let l = -0.3 - -0.1. Which is the second smallest value? (a) o (b) 2\/13 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 - 6*x - 10. Give s(6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r + 4. Let j(x) be the first derivative of -3*x**2 - 5*x + 1. Let f(d) = -5*b(d) - 4*j(d). Let l(m) = 0*m + 5*m + m - 8*m. What is f(l(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 99*q**2 - 18*q - 79. Let g be j(-4). Let d = g + -17383\/11. Calculate the common denominator of d and -47\/89.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 2. Let f be j(1). Suppose -2*t + f*t - 195 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*j**3 + 448*d*j**2 - d*j - 2*d + 12*j**3 - 50024*j wrt j.\nAnswer: 12*d*j + 896*d + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34159086 to the nearest integer?\nAnswer: 5845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*c = 1554. List the prime factors of c.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/10 and (-61)\/(-4) - 2\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/18 and 5\/114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) - (-48)\/21. Let g be (7\/(-4) - -2)*6. Determine m so that g*m - 1\/2*m**k - 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13916 by -3479.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbnbynbbnbynbnyyzyb?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -585, -1147, -1713, -2283, -2857?\n\"Answer: -2*l**2 - 556*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.08 (b) 0 (c) -0.1 (d) 3577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 4. Let j = -8 - -14. Suppose -q - j = 3*o, -3*o - 3*q = q - 3. Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = -2*q, 3*h = -4*q + 7 + 19. Find the third derivative of g**2 + 0*g**3 + 0*g**3 + 4*g**6 - 5*g**h wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 20*b + 16951 = 0. Is 85 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 4548306908.73.\nAnswer: 4548306908.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049433 to 6 dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*o + 6, 75*m = 80*m + 2*o + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 421.7574 years?\nAnswer: 0.4217574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 1)*(-16*u**3 - 21*u**3 + 26*u**3 + (3*u + 0*u - u)*(3*u + 2*u**2 - 3*u) - u + u - u**3).\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/18632 and -17\/72?\nAnswer: 167688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68579, 68584, 68593, 68606?\nAnswer: 68623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -46593194.\nAnswer: -46593191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**2 + 70*m + 3. Let t be l(0). Suppose 4*f + 0*o + o = 74, -4*f + o = -t. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 2, 0.03, -1\/18, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 + 8*n + 6. Let d be w(-6). Suppose -6*p + 342 = d. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and 94\/5325?\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*t + 8. Let s be (-24)\/(-10) - t\/(-5). Solve -6*w + s*w + 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 5, 439.82.\nAnswer: 5, 73, 439.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**2 + 0*q + 1\/70*q**7 + 0*q**4 + 0*q**5 - 1\/2*q**3 + 0 + 0*q**6. What is the first derivative of v(s) wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 4, 4\/7, 2\/11, 3, -1\/648?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259 + 173. Let t = h + 186. Suppose 0 = -t*b + 101*b - 62. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - (94 - -76)) + 253?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 + -4.4. Which is the smallest value? (a) 8 (b) v (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 9, e: 3, a: 4, x: 2}. What is prob of sequence ed?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -3 (b) 93 (c) 216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 8.45. Round s to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + n + 318 = -9*n + 2*n for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpgbxwwwwwxtbggtb. Give prob of sequence wbgw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 193\/13 - (150\/39 - 4). Differentiate -5 + 14*u**2 + 2 - m wrt u.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21472 is divided by 231?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {o: 1, n: 4, y: 2, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 4*v**2 + 3. Let d = 3242 - 3241. Let y(j) = j**2. Give d*u(p) - 4*y(p).\nAnswer: 2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 13 - -11) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*z - 21*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -5. Let p = d + 4. What is the highest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369 + -362 + ((-1 - -2) + -8 - -3) + 27.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39875224.802 - 39875028.80200079. Let g = y - 196. Round g to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/56 + 4\/(-8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**4\/3 + 46*s**3\/3 + 4*s**2.\nAnswer: 2*s**2*(s + 3)*(7*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(9\/136 + (-31)\/(-527))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmdzlada. What is prob of sequence mad?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10312 - 320431?\nAnswer: -310114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**4 + 2061*z**3 - 9*z**2 + 30076 wrt z.\nAnswer: 8*z**3 + 6183*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w + 89. Let a(i) = 3*i - 46. Determine -5*a(s) - 3*x(s).\nAnswer: 3*s - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(30)\/sqrt(2))\/sqrt(5) + -1 + sqrt(300) + -1*(sqrt(3) + -1) - (-2 + (sqrt(192) - -2*sqrt(192))**2*3)*4.\nAnswer: -20728 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.53, -8, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c + 3 - 4*c + 10*c)*(-3 + 6 + 4).\nAnswer: -21*c + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/8 (b) -5 (c) -4\/7 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, q: 3}. Give prob of sequence qnq.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30905 is divided by 30896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 5)*(-2 + 0 + 1)*(368*b + 17*b + 1133*b) in the form y*b + d and give y.\nAnswer: -4554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 625, 0.\nAnswer: 0, 4, 625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1465, 2926, 4387?\nAnswer: 5848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/4 + 663869*f**3 - 881442770581*f**2\/2 - 881447417669*f + 5288672556363\/4 = 0. Calculate f.\nAnswer: -3, 1, 1327739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*b**2 - 152 + 152 as r + o*b + y*b**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 3*x - 2*c - 7, x = 4*c + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 28 - 25*d**3.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, c: 7, b: 7, u: 3}. Give prob of sequence fu.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/6 + (-3 - (-76)\/24). Let h be (9 - 9)*g\/(-2). Solve h = -10*y + 5*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*l - 1340401 = 14*l + 672915. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 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: Is 1\/5 != -32462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (233*f**3 + 2*f**2 - 250*f**3 + 2*f**2)*(-2572 + 2572 + 220*f) in the form c + g*f**2 + u*f**3 + t*f + n*f**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qaaaaqaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/11 - 1308268*d\/11 + 26164560\/11 = 0.\nAnswer: 20, 654114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20580*g**2 + 1631*g**3 - 2370*g**2 - 4527*g**3.\nAnswer: -2896*g**3 + 18210*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31385977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.162 - 0.162. Let c be (-2)\/63 + ((-7)\/63)\/1. Put c, 8, r in descending order.\nAnswer: 8, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11023 (base 6) to base 15\nAnswer: -6bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 9 + 19 = 0. Let i be 6\/(2 + d + 0). Let r = -263\/8 - -33. What is the closest to 0.2 in -4, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-4\/7)*j**20*j*j**(-10\/7)\/j**(-2\/3) assuming j is positive.\nAnswer: j**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -147\/98503 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341998 or -340294?\nAnswer: -341998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 6. Suppose 0 = 2*d + 4*y - 32, 5*d - y = y + 116. Let i = 33 - d. Suppose -3*c + i = -4. Give a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.5 (b) 8\/7 (c) 15\/269 (d) 1.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67600 - 13432400. Round o to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134447 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -49, 1.4, 2 in descending order.\nAnswer: 5, 2, 1.4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.98162+-0.29333\nAnswer: 0.68829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0233773069 to four dps.\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -834 (c) -1 (d) -54 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 37*m - 337. Let s(o) = 37*o - 337. Let n(k) = -4*s(k) + 3*t(k). Let q be n(9). Solve b - 16 = -2*b - q*l, 4*b + 5*l - 20 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859644?\nAnswer: 2, 3, 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 860097339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 35. Let o = 16 - l. Solve -q + 5*q - o = -5*t, 0 = -2*q + 5*t - 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365*w**5 - 719*w.\nAnswer: -7300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109054.49439966 + 109041.4944. Let z = s - -13. Round z to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5958839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11 + 13 - 16 + 10*b - 6*b. Let s(w) = w + 1. Calculate -2*p(n) + 10*s(n).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvcw when four letters picked without replacement from wwcwvwwwcwwwwcwvww?\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*v + 96, -4*m = -0*m + 4*v - 212. Suppose -2*u - 4*x = -214, -m = -u - 3*x + 50. Suppose -4*h = -h - u. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133.8 + -137.068. Let n = z + 3.2. Round n to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10041456 (base 7) to base 16\nAnswer: cb8bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = 18. Let p be 4*2\/f*2. Let c = -1811\/9 - -201. What is the closest to c in -1\/6, -2\/7, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-1 - -4) + 4. Suppose -2*c + 108 = -2*b, a*b = -c + 15 + 44. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/(k\/(k**(-2\/21)*k*k)))\/k*k))**(-7\/6) assuming k is positive.\nAnswer: k**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t, -2*m + 124 = 3*t - 0*t. Suppose -5*h = -4*z + 57, 0 = -8*z + 3*z - 3*h + m. What is the highest common divisor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2932144 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -18.5. What is x rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 2 + 4 + 0 + 2. Let v be a(-5). Let d = v + 5. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 708*r**3 + 233636*r**2 + 19273980*r - 108900.\nAnswer: 4*(r + 165)**2*(177*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2 = -3*r - 4, 4*r + 18 = -d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2409780 divided by -481956\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 209?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3046.396 * -12\nAnswer: 36556.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209.5 - 209. What is the closest to 1 in t, 0.3, 4\/163?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 810040 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/361 equal to -4.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let f(o) be the second derivative of o**6\/24 - 7*o**3\/6 - o. Let q(x) be the second derivative of f(x). Give v(q(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1724560 (base 9) to base 5.\nAnswer: -221230111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n**2. Let l(r) = 4*r**2 - 2. Let t(p) = 159*p - 159*p + p**2 - 1. Let h(b) = -l(b) + 2*t(b). What is v(h(q))?\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 1:07 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79121908 is divided by 555.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 3*q**2 + 4*q - 7. Let t be a(2). Let f(c) = c**2 + 4*c + 5. Let k be f(t). What is the greatest common divisor of 7 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = 3. Is t != 30\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a - 119. Let w be u(16). Suppose -5*i + 4*b = -5, 5*i + w*b = 4*b + 5. Which is smaller: i or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.65 - -0.95. Let y = -4.6 + m. Which is the third biggest value? (a) y (b) -3 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(912\/18)\/19\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - 5. Calculate the smallest common multiple of 1 and (-6)\/20*-38 - f\/(-185).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 - -0.83. Let r = 0.9 - w. Which is the second smallest value? (a) r (b) -1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 1. Let m(u) = -2*u**3 - 12*u**2 - 6*u + 4. Let p = -1 + 0. Let w be 76\/(-12) - p\/3. Let t(r) = w*g(r) - m(r). Factor t(z).\nAnswer: 2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -958, -1702, -2630, -3748?\nAnswer: -5062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*6 + (3 - 4). Let t(p) = -15*p**2 - 3*p + 7. Let f(o) = -7*o**2 - o + 3. Let u(c) = j*f(c) - 2*t(c). Suppose 3 = 5*l + 8. Give u(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23324 and 2618.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/632 and -107\/1580.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 342*s - 9747.\nAnswer: -3*(s + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 100 = 8. What is the highest common divisor of 972 and a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815 - 46137499?\nAnswer: -46139314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 270 = -6530. Suppose -f + 2*u - 1189 = -4*f, 3*u = f - y. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 16*u**2 - 40*u.\nAnswer: 2*u*(u - 2)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1201, -2410, -3619, -4828?\nAnswer: -6037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -344 - -357. Suppose 11*t = j*t. Is -8\/31 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -4 + 6\/2. What is the second smallest value in -2\/5, c, -3, 12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3154\/13 and -243 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 196 = -114. Solve u = -i + b*u, -u = i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1316\/(-112) + 11)*(-5)\/(30\/(-44))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113933510 divided by 331.\nAnswer: 344210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*k**2 + f*k*p**2*x - 3*f*k*p**2 + 13*f*k*p*x + 32*k**2*p**2 - k**2*p - 3*k**2 wrt p?\nAnswer: 2*f*k*x - 6*f*k + 64*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**2 + 3*x - 12. Let d(s) = s**2 - 3. Let p(n) = -4*d(n) + t(n). Let u(z) = -2*z. Calculate u(p(r)).\nAnswer: -16*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - 7*r**2 + 2*r - 2. Let v(g) = -7*g**3 - 15*g**2 + 5*g - 5. Determine -2*v(m) + 5*y(m).\nAnswer: -m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5, -4*w - w - 3*d + 128 = 31 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p + 46. Let o = -107 + 110. Let j be (-54)\/90 + o\/5. Calculate the remainder when k(j) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - u + 1. Let s(z) = 6 - 5 + 14 - 16*z**2 - 1 - 14*z. Determine 56*d(k) - 4*s(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1\/80, 1\/2, 5, -0.67, -0.3, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:07 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34345350 and 1950.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 1. Let i be j(0). Suppose 4*q + 82 = 78. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*l**2 - 882*l**2 + 1119*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/105)\/((-1)\/18))\/((-174)\/(-609)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from fdelwbd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.6 + 13. Let z = -11486 - -2584346\/225. Let s = z + 6\/25. Which is the third smallest value? (a) s (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -5, -30, 76, 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k**2)*(3 - 3 - 5)*(4*k - 2*k + 0*k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*h + g, -2*g = 388*h - 392*h - 36 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10787454 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9612 + 7131 + 5182 - 3*n**3 in the form a + z*n + h*n**2 + y*n**3 and give a.\nAnswer: 2701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/24 + 6 - 38\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -71410257, -71410243, -71410227, -71410209, -71410189, -71410167, -71410143?\n\"Answer: z**2 + 11*z - 71410269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 17 = -71 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8649\/17 or 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16885*g + 16868*g + 68 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -9. Let w = t + -80.929. Let v = 0.08 - w. Round v to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 385*w**2 - w + 43. What is g(77)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - -154. Let l = 0.52 - -4.18. Let j = l - 4.6. Sort j, -4\/5, 5, p in ascending order.\nAnswer: -4\/5, j, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 207*b**3 + 149*b**2 - 5*b + 4. Let o(s) = 38*s**3 + 30*s**2 - s + 1. Calculate 11*o(v) - 2*w(v).\nAnswer: 4*v**3 + 32*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3) + sqrt(15)\/(sqrt(40)\/sqrt(8)) + sqrt(3)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 5*l - 152. Let m be x(-10). Which is the fourth biggest value? (a) 43 (b) m (c) 0.3 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4343\/1320 + -129\/44. Let i = -1\/24 - j. Let o = -1.2 - 3.8. What is the third biggest value in o, i, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/484121 + 21960765\/350503604. Let w = o - -1\/181. Calculate the common denominator of w and 105\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 2. Suppose -17*v + 8 - 59 = 0. Let m(d) = 4*d + 4. Let a(j) = -j - 1. What is t*a(o) + v*m(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 23*y - 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 0.1, 0.3, -4\/3, 1446656\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 118, 109, 86, 49, -2?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 65*v - 3 - 3.\nAnswer: 65*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(81)*1).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 16\/(-20))*-75. Let q be s\/(-100) + ((-1672)\/(-10))\/2. Let f(g) = 9 - 1 - q*g + 86*g. What is f(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 1.5. Let c = -0.052 + -0.448. Let l = 0.09 + -4.09. What is the nearest to n in l, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-833)\/2142)\/((-364)\/(-351))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 4:09 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8381 = -302*f + 1299 - 5075 - 527 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let f = o + 0.4. Let q = -0.1 - f. Which is the biggest value? (a) 2\/21 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 56*d + 15. Is q(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 31\/6, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9. Let j be 4\/8*4\/6. Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32252 and 32252 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 22, 26, 32, 40?\n\"Answer: o**2 - o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22144472 + -5?\nAnswer: -22144477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + 19\/(-7). What is the units digit of (-6)\/15*(w + -32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12950*y - 1083. Is p(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48256416*c**2*p**2 + 7*p**2 + 188992*p with respect to c.\nAnswer: -96512832*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879 - 848 - 92\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71e (base 15) to base 8.\nAnswer: 3104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5\/24, -416, -2\/7 in ascending order.\nAnswer: -416, -2\/7, 5\/24, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - -74. Suppose -5*n + 2*d = -6, -8 = 5*n + 5*d - 28. Let g be n\/(-11) + (-8 - 598\/(-22)). What is the highest common divisor of g and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5348, -21433, -48280, -85919, -134380, -193693, -263888, -344995?\n\"Answer: -5*z**3 - 5351*z**2 + 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w - 7. Let i = -41 + 47. Suppose -4*y - i = 10. Let n(h) = 3*h + 2. Let a(x) = y*k(x) - 14*n(x). Let u(s) = 2*s. Calculate u(a(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*h**3 - 9*h + 1385 wrt h.\nAnswer: 96*h**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 743444761 a multiple of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/23 (b) -31 (c) 0 (d) -6\/11 (e) -152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 9*b + 4. What is f(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 - 8*m - 8. Let z be k(-6). Let w = 22 - z. Let b(r) = -84*r - 42. Let y be b(-2). Calculate the greatest common factor of w and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Let l(a) = -a**3 + 5*a**2 - 3*a - 2. Let t be l(w). Suppose 0 = t*f + 3*f - 60. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 21*j - 2688 = 125*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:57 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 5)*(-43*h + 26*h - 34*h).\nAnswer: 306*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -3.8. Let f = -2.9 + n. Let u = -13\/7 - -155\/91. Which is the closest to f? (a) u (b) -1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-120)*63\/(-6)*((-11704)\/19)\/(-11)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2 + 4*u - 7. Let i(r) = r**2 + r - 1. What is 6*i(q) - t(q)?\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.9 - -2.1. Let h = 65 + -93. Let b = r + h. Which is bigger: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67719811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - -1 - 2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.5. Suppose -2*l = -4*r + 10, -9*l + 47 = -13*l - r. What is the closest to 2\/9 in l, 2\/9, 0.3, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/15 - 34\/48?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -26. Let p = 0.1027 + 2.8973. Which is the third smallest value? (a) q (b) 2\/5 (c) -1\/6 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = -3*l + 7*l, 5*k + 5*l + 5 = 0. What is the common denominator of 1\/(-4) - (-175)\/(-12) and (151\/k)\/(54\/15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41962, -83912, -125860, -167806, -209750?\nAnswer: -251692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-129 + 130 + 279*p + 41*p)*(5*p**2 - 3*p**2 - 3*p**2 + (-p - 1 + 1)*(1 + 5*p - 2*p - 6)) in the form b*p**2 + r*p**3 + v + q*p and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 + 7*i + 125 - 3*i + 4*i + i + (1 - 2 + 3)*(-2*i + 0*i - 3*i) as s*i + n and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837513.\nAnswer: 17, 108089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.03138 + -7.014. What is c rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4\/4 + 5*p**3\/3 - 1252*p**2. What is b(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1700) - -1*sqrt(1700)*-2) + 2)**2 + -2.\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7082 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 4:05 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14 = 4*s - 5*s, -i + s = -6. Suppose i*x - 14 - 10 = 0. Suppose x*f - 1750 = -2*f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 29. Let j be 322\/(-69) + a\/6. Let f = -5 + 0. Put f, 2\/11, j in decreasing order.\nAnswer: 2\/11, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*b + 81 - 223*b - 81 - 7*b - 3*b + 4*b + (-1 + 2 + 1)*(4*b - 2*b - b) in the form a + f*b and give f.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 33*p**2 - 13*p + 13. Let v(z) = 5*z**2 - 2*z + 2. Let q(y) = -6*f(y) + 39*v(y). Let x(r) = 3 - 3 - r**2. Determine x(q(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 27*j + 13*j - j)*(-207 + 239 - 138).\nAnswer: -4028*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3906 and 6370.\nAnswer: 1777230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -278221 divided by 6?\nAnswer: -278221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/9, -5, 2.1, 5\/244, 2\/3?\nAnswer: 5\/244","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 920975 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**2. Suppose 0 = -g, 5*g = 2*c + 2*c - 16. Let b(l) = c*l**2 + 7*l**2 + 11*l**2 - 8*l**2. Calculate f(b(v)).\nAnswer: -1568*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200670, 401344, 602018, 802692, 1003366?\nAnswer: 1204040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54465 divided by -4?\nAnswer: 54465\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 3:25 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/2600*(-95)\/(-228)*18.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = k - 7, 5*f - f - 3*k + 6 = 0. Let x(o) = -o + 6 - 14 + 7 + 5. Give x(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 981 - 979. What is the third smallest value in j, 12, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22110 + -1210?\nAnswer: -101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -231, 1\/3, -16, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -37*c**5 - 48*c**4 + 3*c**3 + 7*c**2 - 7*c. Let a(v) = -36*v**5 - 48*v**4 + 2*v**3 + 8*v**2 - 6*v. Let y(o) = -5*a(o) + 4*i(o). Factor y(p).\nAnswer: 2*p*(p + 1)**2*(4*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Suppose 4*f + 2*t = -2*t + 320, -q*f = t - 323. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from irgii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c8 - 30?\nAnswer: -f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + c - 15 = 0, 5*l - 6761*c + 60 = -6751*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**2 - 30*q - 30. Let h(u) = 2*u**2 + 2*u + 2. Let j(f) = 15*h(f) + y(f). Let z(k) = -2*k + 5*k + 0*k - k. Determine j(z(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + p - 24 = 0, -91*t + p + 30 = -88*t. What is the remainder when 383 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 = b, 4*n + 3 = 3*b. Suppose 4*v + v - 25 = 0. Let r be ((-3)\/13)\/(3\/(-39)). Sort r, v, n in descending order.\nAnswer: v, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 378b?\nAnswer: -378b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/16077 and -127\/414.\nAnswer: 96462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366 = -21*y + 54 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-5 - (-3 - (5 + 3))) - -24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9140 is divided by 299.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -237\/7. Let m be 2 + (-3)\/((-15)\/(-14)). Suppose 3*y - 18 = -4*q, -1 = 2*q + 4*y - 15. What is the biggest value in m, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i + 9. Let s = -16 + 22. Let v(n) = 8*n - 4. Let t(u) = -u + 7. Let r(b) = -b. Let z(g) = -3*r(g) - t(g). Let o be z(5). Give o*v(m) + s*p(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 562\/3 + -186. Let l = 0.9 + -1.45. Let c = -0.05 - l. Put w, c, 0 in descending order.\nAnswer: w, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 4*c - 4*c)*(-2 - 1 + 2)*(3*c - 4*c - c)*(-4*c + 0*c + 3*c)*(-36 - 12 - 69*c + 67*c).\nAnswer: -48*c**4 - 1152*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:30 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1888 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 4. Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 22*n**2 + 52*n - 24. Let c be q(24). Let d = 62 - c. Let p be ((-5)\/d)\/(27\/12*-1). What is the second biggest value in -0.2, 2\/11, p, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -9. Let i = -12 + k. Let t be (-6)\/(-33) - 8*(-20)\/88. Is i equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1*s*s)**(-36)*((s\/s**(1\/2))\/s)**(-2\/101) assuming s is positive.\nAnswer: s**(-7271\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1345397 and 4930.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5040 + -32060?\nAnswer: -37100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 49. Find the common denominator of 20\/8 - a - 321\/126 and -103\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-26)\/5 + 5 - (-64)\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - 2.5. Which is the fourth biggest value? (a) -4\/9 (b) h (c) -0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 434, 827, 1676, 3143, 5390?\nAnswer: 8579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-12))\/(1\/6). Let s = -99 - -60. Let p be s\/(-1) + 6 + -10. What is the greatest common factor of k and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6126528329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74153, 296657, 667505, 1186703, 1854257, 2670173, 3634457, 4747115?\n\"Answer: v**3 + 74166*v**2 - v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 83468.49 hours?\nAnswer: 300486564000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41.16465108 + -2\nAnswer: 39.16465108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 407 and 858?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -3 - (1 - 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.062212394 and 7969.\nAnswer: 7969.062212394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 7. Let i be 1083\/33 - (-1)\/(-11)*-2. Let f(k) = 9*k + 57. Let h(c) = i*o(c) - 4*f(c). Give h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 436*w**4 - 888*w**3.\nAnswer: 4*w**3*(w - 111)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378380401 to the nearest integer?\nAnswer: 19452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -11\/18*r**4 - 3*r - 11 - 1\/3*r**3 + 2\/15*r**5 + 0*r**2. Let o(v) be the first derivative of y(v). Factor o(g).\nAnswer: 2*g*(g - 3)*(4*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -825 divided by 275.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3430 (base 6) to base 10.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5754 - -6047. Calculate the remainder when 1234 is divided by s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 3 (c) -1\/3 (d) -381 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 297*x + 335*x - 639*x - 6*x**4 + 42*x**3 + 0*x**2 - x**2 + 4*x**4 + 1 in the form u*x**3 + w*x**2 + y*x + q + b*x**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11313334 + 153?\nAnswer: 11313531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b09 (base 12) to base 14\nAnswer: -81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -0.1. What is the second smallest value in 1\/3, z, -3\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-118)\/(-1062))\/(3*5\/(-15))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 783*i\/8 + 1945\/4.\nAnswer: (i - 778)*(i - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3095*o - 3010. Let r(w) = 2*w**2 + 7218*w + 7024. Let i(t) = 16*a(t) + 7*r(t). Factor i(v).\nAnswer: -2*(v - 504)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 2.742?\nAnswer: -2.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = 7*y - 9*y. Suppose 5*w + y = -49. Let r = 39 + w. Solve -r = -7*u + 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-2)*o*o\/(o\/(o*o\/(o\/(o**5*o))))*(o*o**(-2)*o)\/((o*o*o**(-2))\/o*o) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -49. What is the remainder when 74 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284 or -19928?\nAnswer: -19928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 4, 3*a = -j - 3. Let x(f) = -9*f + 6. Let b(k) = 26*k - 18. Let m(o) = 6*b(o) + 17*x(o). Calculate the remainder when m(j) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 2*p**4 - p**4 + (-3*p**3 + 0*p**3 + 0*p**3)*(4*p + p - 2*p).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:38 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 5. Let v(n) = 6*n**2 - 14. Let l(o) = 14*r(o) - 5*v(o). Let i(k) = k**2. Calculate i(l(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5615.6 and 0.4.\nAnswer: 2246.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(5\/4)*p**(-25) assuming p is positive.\nAnswer: p**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6988 - 6988.3. Let x = -1 - -3. Which is the second biggest value? (a) -4 (b) x (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504 (base 6) to base 13\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 14, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/43863989 and 58\/62881.\nAnswer: 307047923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 < -3\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 4*n, -4*j + 4*n - 9*n = -36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 19. Suppose 0 = 142*v - 757 + 615. Calculate the highest common factor of v and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -58?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2506 and -51\/920?\nAnswer: 1152760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - 1. Let g be o(-1). Let q = 12 + g. Solve 2*h = -t + 10, h = -q*t + 4*t + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5928439 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 14) + (-3 - -18) + 8 + -6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.9 - 21. Which is the third smallest value? (a) k (b) -2\/9 (c) -2\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*r + 25997 = 0, p = 4*p + r - 25985. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/72646 and -115\/28.\nAnswer: 145292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6584\/(-14) - (-6)\/21. Let v = -63 - n. What is the greatest common divisor of 37 and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1070 - z**2 + 4*z**2 + 1070. Let q(p) be the first derivative of p**5\/10 + 5*p**2\/2 - 12. Let l(k) be the second derivative of q(k). Give l(a(n)).\nAnswer: 54*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 26*l - 362. Let z be a(14). Let u be 2\/6 - (-2)\/(-9). Sort z, -0.1, u in decreasing order.\nAnswer: z, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-1146)\/(-117) - ((-1224)\/(-432) - 7\/2)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfr when three letters picked without replacement from {l: 2, r: 6, q: 4, f: 1}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18582.56 litres?\nAnswer: 18582560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10254475 and 10254475?\nAnswer: 10254475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 2, w: 1, c: 2, t: 4, i: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8530 and 6824?\nAnswer: 34120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 488.1 + -592. Let i = 112.93 + u. Round i to 1 decimal place.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*o**2 + 29 + 25 - 51*o**2 - 53 + 3*o as v + d*o + c*o**2 and give c.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2141440043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqd when four letters picked without replacement from dssdqsssq.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7938*h**2 + 7396*h wrt h?\nAnswer: -15876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 + 0.25. Let n = -2.6 - -3. What is the second biggest value in 1, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1675775 and 3077.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14*d + 58. Let a be m(4). Let w be 2 - 4\/(16\/9). What is the biggest value in 1\/3, -2, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/11 (b) 111 (c) -57 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -2, -4, 4, -94.\nAnswer: -94, -10, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-63)*-9 + 8\/((-392)\/119). Let w(g) = -9*g - 24. Give w(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 12*w**2 + 8*w + 95. Determine q(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -1\/3*x**3 + 0*x**2 - 2 + 0*x. Let r(n) = -4*n - 4*n - 3*n + 0*n. Give r(u(m)).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + d = -18. Let a = d - 1. Suppose -8*y = -a*y - 192. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 517194 and 11688.\nAnswer: 2068776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*z**4 + 0 + (9 - 9 + 53*z)*(44 - 44 - 13*z**3) as t*z**3 + w*z + v*z**4 + x*z**2 + q and give v.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*v - 49*v + 98. Calculate the lowest common multiple of v and 79.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36225 is divided by 575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 2. Let u be n(0). Suppose -u*y - 1083 = -5*l - 440, 0 = 5*l + 5*y - 615. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -8885?\nAnswer: -17770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = 0, -v - 5*t = -7*t - 7. Solve 0 = v*f + 32 - 44 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 4*w**4 - 6*w**4 - 2*w**3)*(6*w + 6*w + 5*w).\nAnswer: -68*w**5 - 34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(612)*5 + -4)*3 + 2)**2*5.\nAnswer: 18000*sqrt(17) + 2754500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/57, -2\/5, 1.69, -1\/4, 1\/2?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 129, 61, -1\/6 in increasing order.\nAnswer: -1\/6, -1\/9, 61, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62.9 + 62.6. Put s, 0.07, -0.33 in descending order.\nAnswer: 0.07, s, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177170966 is divided by 2626.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*h - 871 = 8151 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*n + 4, -2*d + d + 4 = -n. Let j(q) = 38140*q + 19859*q + n - 5. Let p be j(-5). Round p to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - r**3 - 2*r**3 + 4*r**3.\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*l - 41 = 0, -5*l - 9 = 16. Let u(q) = -4*q - 131. Let r be u(j). Let k(f) = -10*f**2 + 2*f - 2. Calculate k(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*c + 45, -5*a = -0*a + 2*c - 17. Suppose -a*o = 20, 3*o = -5*q - 2*o - 52316685. Let g = q + -7036667. Round g to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + k = -9, -y + 3*k = -0 + 5. Suppose y*p = 2*p. Let l = 0 + p. Round l to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + 1 + sqrt(612))**2.\nAnswer: -192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + 2*c)*(-1869 - 944 - 1066).\nAnswer: 3879*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 951976.8 hours?\nAnswer: 3427116480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 146656?\nAnswer: 1\/73328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 196073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/416916 and -41\/2504.\nAnswer: 833832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 1, n: 3, s: 3, f: 8}. What is prob of sequence uu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1940 and -234419.\nAnswer: -232479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2507 - 4402 + 2363)*(k**3 + 4*k**3 - 3*k**3) in the form n*k + x*k**2 + u + p*k**3 and give p.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 296, 994, 2346, 4568, 7876, 12486, 18614?\nAnswer: 26476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 754, 749, 744?\n\"Answer: -5*i + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.403 * 0.3\nAnswer: -0.7209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxzzzxxdxxcfxtccxx. Give prob of picking 1 z and 1 x.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1100880?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733188917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r**2 + 9*r + 33*r**2 + 0 - 8*r**2 + 0 in the form x*r + o*r**2 + v and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/7 - 4\/14. Let i be -8*(-1)\/(4\/(-9)). Let f be (-2)\/9 + (-40)\/i. Solve -3*y = f*y + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkke when four letters picked without replacement from eekekeekekeeekee?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1833b (base 14) to base 4\nAnswer: 32321101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321053?\nAnswer: 321053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1986 is divided by 654?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -128, -64.\nAnswer: -128, -64, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -241*h + 121. Let k be z(-15). Suppose d - k = 3*g, -d + 0*g - 4*g + 3743 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + 9 + (-2 - 10) + -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -23*g**3 + 2*g + 1. Let v be b(-1). Suppose 3*l - 5 - v = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -146, 2 in decreasing order.\nAnswer: 5, 2, 1, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + (-46 - -29 - 23)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -11*n + 43. Give a(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/63)\/(((-38)\/12)\/19).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 101738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1599.1381 - -1599. Let g = y - 2.8619. Let k be (-10)\/(-4)*12\/15. Which is the closest to k? (a) -8 (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.2039, 4?\nAnswer: -0.2039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/20 + 2*w**4\/3 - 7*w**3\/6 + 3*w**2 + w. Let z be k(7). Find the first derivative of -5 + 2*r**2 - 2 + z wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5048 - 2248. Calculate the greatest common divisor of n and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8113 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*26*(-2)\/(-195)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -9503213\nAnswer: 2850963.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9)*-1*15. Let i(l) = -l**2 + 0*l**2 - 13*l + 2 - g. Calculate the smallest common multiple of 22 and i(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/15 + 4*f**2\/5 + 16*f\/5 - 16. Factor i(z).\nAnswer: (z + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 31 + 61 + 13*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:42 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 9*c - 9. Determine q(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 2*n - 1. Let r(c) = 3*c - 24. Suppose 2*a - 31 = -13. Let i be r(a). Suppose -1 - 2 = -i*l. What is x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3, -6, -4, 128?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -257, -4, 2, -5 in descending order.\nAnswer: 2, -4, -5, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 15*u + 5*x = -75832, -4*u - 2*x + 75860 = 0. What are the prime factors of u?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**16\/j)*j*j**(-11) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2\/43 (c) -1\/2 (d) 110\/19 (e) -2 (f) 94 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 - (0 + 4 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 11 - 31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/894 and -12\/11?\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117.07 + 117. Let k be (-3)\/2*(-4)\/(-2). Let n(b) = -2*b - 1. Let o be n(k). What is the biggest value in o, 1\/7, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(-1 + (1 - -2)). Let p = j + -11. Suppose 5*a = 2*i - 22, i = 4*i + 5*a + 17. Sort i, -1, p.\nAnswer: -1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005091 to seven dps.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*a**4 - 4\/13*a**3 + 0 + 0*a + 2\/13*a**2 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 45589449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 977120141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 w when three letters picked without replacement from pwlwuwt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:30 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + d = 601, t - 2*d - 207 = -4*d. Let r = t + -111. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -62, -125, -210, -317?\n\"Answer: -11*a**2 - 8*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 18*z + 13. Calculate p(-5).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 26765*u - 26759*u + 53524*u. Let l(a) = -134*a. Give l(c(r)).\nAnswer: 134*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 + x - 3. Let f(g) = 3*g**3 - g + 3. Let q be (-5)\/4*(-18 + 22). Give q*a(c) - 6*f(c).\nAnswer: 2*c**3 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 706375 and 8?\nAnswer: 5651000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 9*a - 10. Let b be c(-7). Suppose -b*h + 14 = 5*u, -u = 5*h - 11 - 17. Suppose -h*d + 325 = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 117 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daa when three letters picked without replacement from babtbbadbbbbbb?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g - 2*g - 2*g + (-4 + 5 + 0)*(g - 2*g - 2*g) - 2*g + 4 - 4 - 2 - g + 2 + (-5 + 1 + 3)*(-3*g + 2*g + 2*g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (725\/(-150))\/(1*(-2)\/12). Let w(y) = -y**3 + 28*y**2 + 34*y + 4. What is the units digit of w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = v. Let s = -1.61 - -3.61. Which is the biggest value? (a) v (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 14*f - 17. Let z(o) = 3*o**2 - 41*o + 49. Let j(n) = -11*d(n) - 4*z(n). Give j(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -5)\/2 + 24. Solve 3*a + 9 - 36 = 3*z, 2*z + l = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246103543 and 952?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58707 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - (-985520)\/(-15800)) + 4\/10.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 at least as big as 1\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2632, 2875, 24668, 70889, 149680, 269183, 437540, 662893?\nAnswer: 953384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q**4 - 23*q**3*r + 4*q**2*r + q*r - 9*q + 2*r - 80 wrt q?\nAnswer: 108*q**2 - 138*q*r + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-3990)*-21 + (-8)\/(12040\/(-497))?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 58*b**2 + 32*b - 1810. Let l be p(58). Solve l = 6*n + 40 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6482, 12936, 19412, 25910, 32430, 38972?\nAnswer: 45536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from pjqppppjtjptjpjp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16628412 and 44274?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3269 is divided by 156?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -38c?\nAnswer: 38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2071 = j + 4*b, 0 = 3*j - 0*j + 4*b + 6253. Let r = 456682 + -5046533\/11. Let h = j - r. What is the common denominator of -71\/9 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 24 - 149. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1344.5565 - 956566.\nAnswer: -957910.5565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 441252 + 882498 - 9*t - 103*t**3 - 441246.\nAnswer: -92*t**3 - 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 6. Let m be b(4). Suppose 7*p = m*p + 255. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201533 (base 11) to base 12\nAnswer: 137662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.465297 + 4438829.465297. Let a = n + -4438504.0169. Let r = a + -319. What is r rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 17*v**2 - v + 21. Let h be q(17). Suppose x + h*r = 21, -4*x - r + 1 = -23. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 4. Let m be ((-6)\/(-18))\/((-1)\/21). Let q be r(m). Solve 0 + 3 = q*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/800130 and 19\/716?\nAnswer: 1600260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2. Let y(v) = -3*v**2 + v**3 - 36*v + 0*v**2 + 35*v - 5*v**3. Determine 3*x(w) - y(w).\nAnswer: w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*g - 28, -4*g + 1 = 5*h - 177. Suppose -412 - h = -2*j - 5*k, 5*j = 2*k + 1115. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 207056.265.\nAnswer: 207057.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97821604.\nAnswer: 2, 17, 773, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*g**2 - 30*g**2 + 81*g**2.\nAnswer: 136*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 472 - 51. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426665.\nAnswer: 5, 85333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*a + 538 = 5*r, -8*a = -4*a - 5*a - 3*r + 70 for a.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + a**2 - a - 2. Let z = 45 + -46. Let u be t(z). Let l(d) = -u + 0 + 7 - 4*d + 0. What is l(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -9, -6 in decreasing order.\nAnswer: 0, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1162896 * 172.\nAnswer: 200018112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 14 - 39. Suppose 6*t - i = 311. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z - 2*i = 18, -3*i = 15. Calculate the least common multiple of (-1)\/z + 114\/8 and (-3 - -2) + -1 + 22.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 10. Let z(c) = 3*c**2 + 2*c - 1. Let a(s) be the first derivative of -5*s**3\/3 - 3*s**2\/2 + 2*s - 8. Determine w*z(q) + 5*a(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m. Let w(c) = -82*c. What is w(l(q))?\nAnswer: 492*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 169.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let w(r) be the third derivative of 147*r**4\/4 + 102*r**2 + r. What is p(w(a))?\nAnswer: -777924*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -13*u**5\/20 + 7*u**3\/6 + 11*u. What is the second derivative of y(p) wrt p?\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5\/7 (b) 2 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.227547 * -0.1\nAnswer: -0.0227547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Suppose -25 = -5*f - n*v, -2*f + 21 = f - 3*v. Let m(a) = -16*a. Let z(b) = 15*b. Let u(t) = f*z(t) + 5*m(t). Let g(d) = -d. Give g(u(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 88.152. Let g = m + 0.05. Round g to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/12 and -83\/938448?\nAnswer: 938448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -625 + 475. Let l be (44\/8)\/((-3)\/f). Are l and 275 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40241685 divided by -243889.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3026647*v - 2296100.\nAnswer: -3026647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3301*a**3 + 4*a + 49 wrt a?\nAnswer: -19806*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77083 divided by -21.\nAnswer: 77083\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 10*n**2 + n - 13. Let s be u(10). Let m = s - -54. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1470 divided by 735\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17882.853 + -17891. What is n rounded to one decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/708 and -29\/18.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 257*g**2. Let u(p) = p. Determine d(u(x)).\nAnswer: 257*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 81. Let d(l) = -30948*l. Determine m(d(o)).\nAnswer: -1915557408*o**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/9 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c**4\/13 - 466*c**3 - 977202*c**2\/13 + 25298674*c\/13 + 11789182084\/13 = 0. Calculate c.\nAnswer: -233, 466\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (-1 + -3 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = u + 4*r, -2*u + 2*u = 5*r + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900)*2*-4)*1.\nAnswer: -70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 + 379 = -8*z. Let h(s) = 2*s**3 - 4*s + 3. Let l be h(0). Sort l, 6, z in descending order.\nAnswer: 6, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 8*h + 23. Let w = 10 - 6. What is the remainder when w is divided by m(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -200, -13, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 2717.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -379, -381, -385, -391?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**7\/42 + 7*w**6\/120 - 23*w**5\/60 + 5*w**4\/24 + w**3 + w**2 - 26. Solve v(t) = 0 for t.\nAnswer: -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 18*b**2 + 3*b + 29. What is the tens digit of p(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from niinninniiinninnnnn?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88*(-336)\/924 - 72.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 4*d + 4089113*d**3 - 3*d.\nAnswer: 4089113*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 9*b - 18600000. What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, x: 11, a: 3, w: 2}. Give prob of sequence alax.\nAnswer: 11\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d + 8*d - d in the form y + m*d and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*r + 4*j + 12, -5*r + 16 = -4*j. Let c be (-3 + r)*-3 + -3. Let s be -5*((-56)\/(-20))\/(-7). Sort c, 0, s in increasing order.\nAnswer: 0, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, p: 8, q: 4, b: 1}. What is prob of sequence cc?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4575090387 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5 - 4*f**2 + 7*f**2 - 2*f**2 - 2*f**2 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Suppose 0 = -3*t + j + 10. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azeaeazzaaaaz. What is prob of picking 2 a and 2 e?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 - 3*c**2 + 5. Let o(n) = -2*n**3 + 2*n**2 - 2. Let d(f) = -3*k(f) - 7*o(f). Give d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 3*a**2 + 38*a + 66. Let w be n(-2). Let h(s) = 2*s**2 + 28*s + 4. What is h(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 - 14) + (-2 - -6). Suppose 3*s = s + 5*k + 11, 5*s = 2*k + 17. Solve -2 - l = -s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 92?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**1*b)*b*b*b**6*b\/(b\/(b\/(b\/(b\/(b*(((b\/b**(-2\/3))\/b)\/b)\/b)))*b))*b*b*b**(1\/3)\/b assuming b is positive.\nAnswer: b**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urruruuuuu. Give prob of picking 2 r and 1 u.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 6:09 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3643 (base 13) to base 4\nAnswer: 1313230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.804944 rounded to 3 decimal places?\nAnswer: 2.805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by -21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -0.4, 0.1, -2.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259630 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 671*u = -666*u - 7, -4*u - 4 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66143676889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 124.7*-24\nAnswer: -2992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(2\/15)\/(r*r\/(r*r**0))**2 assuming r is positive.\nAnswer: r**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95879, -96212, -96545, -96878?\n\"Answer: -333*a - 95546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(18) - (sqrt(18)*-2 + sqrt(18)) - sqrt(18)))\/(sqrt(60)\/(sqrt(30)\/sqrt(3))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + c = -4 - 4, 5*c + 5 = -2*f. Let i(k) = -k**2 - 9*k - 4. Let t be i(-8). Suppose -f*r = -r - t. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1316*t**3 + 3*t**2 + 5*t + 3. Let n(u) = -5*u**3 + u**2 + u + 1. Determine -a(y) + 3*n(y).\nAnswer: -1331*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 4958?\nAnswer: 19832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -23. Suppose -5*r = 4*y - 33, l*r + 25 = 5*r. Find the first derivative of -5*n**2 - 4*n**y - n**2 - 6 + n**2 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + -9 + -11 + 51 + 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2 + 0\/2). Suppose 2*f - 14 = -6*i + i, -3*f + i + 55 = h. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622641 to the power of 1\/2, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003449584 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5295655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1159.95 - -1158. Sort -4, d, 1\/3 in decreasing order.\nAnswer: 1\/3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 20 (b) 1\/4 (c) -3 (d) 5 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 + 223. Let w = x + -96. Does 9 divide (-87)\/(-5) + w + (-18)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4617 divided by 3.\nAnswer: -1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548924.3 years to centuries.\nAnswer: 5489.243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.627 - 0.327. What is the closest to q in -1, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 - 3. Suppose 10 = 5*k, 2 = -h + 3*k - 3. Let w be (-22)\/6 - (-3)\/h. What is the nearest to d in w, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 134*q**3 + 7*q**2 - 7*q - 27. Let w be z(4). Is (1 - 0) + w + -31 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4351\/14 - -311. Let f = -55\/126 + t. Sort 0.3, -3, f in descending order.\nAnswer: 0.3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - u - 4*u + (-3 + 2 - 1)*(2 + 3 + 0)*(1 - u - 1) to p + i*u and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262420 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3450437, -3450440, -3450443, -3450446, -3450449?\nAnswer: -3450452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 12*n**2 + 14*n - 25. Calculate the remainder when 31 is divided by z(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26593, -106539, -239723, -426103, -665637, -958283, -1303999?\nAnswer: -1702743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/3)\/(-1))\/(((-8)\/2)\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 17 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/13 and 77\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14924 and 224.\nAnswer: 119392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 765\/63 + 39\/(-273)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 23, 48, 77, 110?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11812*r**2 + 8186 wrt r?\nAnswer: -23624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/189 + (-1311627)\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t + 27 = -2*u, 3*u = t - 8. Suppose t*p + 37 = -3. Let c be ((-2)\/p)\/(3\/(-18)). Put 3, c, 2 in descending order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 1185 = 5*x, -4*x + 908 = -4*f. What is the remainder when x is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 - -272. Suppose 0 = -4*b - 5*p + y + 122, -p + 55 = b. Let d be (4\/b)\/(8\/24). Sort -5\/3, d, -5, -1 in ascending order.\nAnswer: -5, -5\/3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (-2 - 1)*24389\/(-2523).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*f - 3*g, 0 = f - 0*f + 2*g + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w**2 + 3*w - 1. What is the tens digit of l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 52 = -5*h, -12*y = 2*h - 14*y + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/((-3)\/12). Let r = 108 + -107. Let j be (8 + -3)*(2 - r). Solve -d*v - 3 = 5*m, 2*m - 6 = j*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200 - 82. Suppose -5*h = 3*d + s, -2*h - 4*d - d = 32. Let o = -17 - h. Calculate the least common multiple of 10 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - m + 3. Let a(u) = -u**2 - 1. Let w(g) = -3*a(g) - f(g). Let n be w(-2). Suppose -b = n*b - 30. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 724*-5*(-2)\/5. Factor 78*k**2 + 131 + 2815 + 2*k**3 + n + 1014*k.\nAnswer: 2*(k + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991560593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 10019 = 17449. List the prime factors of c.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-15) + (-32)\/(-5). Suppose 3*c - 90 = 66. Suppose -c = 2*d - q*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4 + 11267*p**3 + 2*p**2 - 80*p - 14 wrt p.\nAnswer: 24*p + 67602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 t when four letters picked without replacement from tftttttfftttftfttt.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 39, 65, 95, 129, 167?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -4\/213, 0.05, 0.2, 50?\nAnswer: -4\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5704 - (-4 - (1 - 1)). What is f rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24173, -48321, -72439, -96527?\nAnswer: -120585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -62. Suppose 4*p = -v*p + 168. What is the lowest common multiple of p and (-24)\/9*(-3)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 - (-5)\/(-25)*0. Suppose 10*a - u*a = 0. Solve 3*t + 2*t = a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1713670, -1713669, -1713668, -1713667, -1713666, -1713665?\n\"Answer: g - 1713671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 12*j + 16. Let q = -41 - -30. Let d be y(q). Solve -2*u + 0*a + d = -a, 4*u - 6 = -2*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*o + 13 = -372*o - 142 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 7. Suppose 507 = -12*m + 591. Calculate a(m).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + (sqrt(1053) - sqrt(1053)*-1) + sqrt(1053) + 0 - sqrt(1053) - sqrt(1053))*3 + 0)**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*r + 11, 3*r + 0*r = -5*m + 19. Let c(w) = -w**3 - w**2 + 2*w + 1. Let g be c(r). Let b(d) = 4*d + 1. Calculate b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-eight sevenths of a week in hours?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 67.52314 millimeters?\nAnswer: 0.00006752314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygog when four letters picked without replacement from jyjgbgboyjbbo?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let q be (-6)\/9*(-9)\/(-2). Let z be (-9)\/3*q\/63. Which is the closest to -1\/3? (a) 3 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**5 - 67508*q**4 - 3233472*q**3 - 38774016*q**2 = 0.\nAnswer: -16829, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1\/4 (c) -6063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (6 - (1 + -6 + 13)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -245, -665, -1243, -1973, -2849?\nAnswer: -3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 + -4 - -2) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -715*k - 316 wrt k?\nAnswer: -715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43201.52 decades in millennia?\nAnswer: 432.0152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**4\/2 + 5*t**3\/3 + 23*t**2. Let a be s(5). Suppose -2*r - 69 = k - 224, -k = -r + a. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 375?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9255 and 516?\nAnswer: 1591860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140 in 1\/9, -0.1, -2\/35, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7887 from -863.\nAnswer: -8750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 5*h + 21, 3*f - 38 = h - 26 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/8 + (-174)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 300 - 284. Suppose -m*x + 23*x = 0. Solve x = 3*z - 4 - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3)\/z)*z)\/(z**(-12)*z) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 38 + 10. Let t be (-3)\/(-90)*-5 - (-443)\/(-6). Let a be t\/4*(17\/7 + -3). Which is bigger: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 87623.79ug?\nAnswer: 0.00000008762379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 1\/24*x**4 + 0 - 1\/6*x**3 + 34*x**2. Let f = -47 - -42. Let b(l) = -3*l + 1. Determine f*h(k) - 3*b(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j + 2. Suppose -2*k = 3*k + 20, -5*k - 20 = 5*u. List the prime factors of m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3567 - 2*l - 3567.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -0.86?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 59. Determine j(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/2*20 + 3. What is the first derivative of n*i**4 + 0 - 3 - 98*i**4 wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6342\/5 + 1268. What is the second smallest value in a, 71\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 16*b + 161 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130968585 and 27781215.\nAnswer: 916780095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22682844 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22 and -23634773140?\nAnswer: 23634773118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1850.3 - 2187.95. Round x to the nearest integer.\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0633237ml to litres.\nAnswer: 0.0000633237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/50 + -5)\/(35\/25).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 + 5849*w**2\/3 - 1950*w.\nAnswer: w*(w - 1)*(w + 5850)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqqfyqyyyqyqy. Give prob of picking 2 q, 1 y, and 1 f.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 248*m**2 - 2845*m - 1858. What is n(236)?\nAnswer: -4926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5b06 (base 12) to base 15\nAnswer: -3070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1166.9296 + -1166. Round v to two dps.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2149936 and -77\/12.\nAnswer: 6449808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -1\/79, -1\/5, 0.061, 2\/9 in increasing order.\nAnswer: -54, -1\/5, -1\/79, 0.061, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(432) + sqrt(432) + 4 + sqrt(75)).\nAnswer: -24 + 114*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 21, 13, 1, -15, -35?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -121\/3. Which is the smallest value? (a) 5 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 - 10*u - 2*u**2 + 7*u)*(425 - 425 + 16*u) in the form v*u**2 + i*u + j + n*u**3 and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1653\/2 + 827. Suppose 0 = -0*i + 5*i - 4*h - 26, 0 = 2*i - h - 8. What is the nearest to i in 5\/3, t, -2\/11?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 1, k: 6, b: 4, c: 2, g: 1}. Give prob of sequence co.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2112476000 to the nearest 1000000.\nAnswer: 2112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 27. Let f be 1 + ((-8)\/(-10))\/((-10)\/25). Let m be 2\/15 + 206\/(-30)*f. Calculate the least common multiple of 82 and p(m).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -20*w**3 + 28*w - 24. Let j = 93 - 77. Let n(t) = t**3 - t**2 + t. Let b(x) = j*n(x) + h(x). Factor b(r).\nAnswer: -4*(r - 1)**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -6 + 11. Let m(j) be the third derivative of -5*j**4\/24 + j**3\/6 + 182*j**2. Calculate m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 4974.21629.\nAnswer: 4961.21629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 20528*r + 483*r**2 - 31687*r + 419323 + 402*r**2 + 607572.\nAnswer: -5*(r - 59)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2126 and 5524411.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54108902.\nAnswer: 2, 3881, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/(93\/18 + -5). Suppose -o*l = -4*n - 6*l + 12, 0 = n + 3*l - 3. Factor -2*m**2 + 12*m**n - 10*m**3 - 3*m**3 + 0*m**2 + 3*m.\nAnswer: -m*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = w + 4*x, 4*w - 5*x + 94 = -218. Let b = 75 + w. Suppose -i + 11 = -h - 9, b*i - 50 = -3*h. Calculate the greatest common factor of 110 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -4. Suppose k*y = 55 + 23. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9678566.\nAnswer: 2, 4839283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/19*z**3 + 0*z + 0 + 4\/19*z**2.\nAnswer: -2*z**2*(z - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -4 + (-27)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87023 is divided by 592?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*g + 27 = 0, 3*g + 43 = 4*o + 7. Suppose -4*x - 242 = -2*y, 4*y - 570 + 104 = -x. What is the highest common divisor of o and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, x: 3, i: 1}. What is prob of sequence gigx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + i + 12, 5*r + 4*i = 3*r + 18. What is the tens digit of 15 - (r + -2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-6) - 3)*6. Is 9 a factor of (-441)\/(-12) - (-6)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194 and 2134.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/(4\/(-3)). Let s(r) = 1 + 230*r**2 - 114*r**2 - 117*r**2. Let j(h) = -4*h**2 + 4*h. Let v(l) = o*j(l) - 5*s(l). Calculate v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqrrrq. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 112. Let m be l(0). Let g be (-2 + 0)*45\/6. Let r = g - m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1591949 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043219.\nAnswer: 853, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 29\nAnswer: -23\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838564917?\nAnswer: 7, 577, 65029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -646.683 - -647. Let t = 0.783 + h. What is the closest to 2\/3 in 2\/13, t, -3\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237575628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19 (b) 3 (c) -0.3 (d) -4 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 11*s + 10. Let l be o(5). Suppose -d = l*b - 6*d - 20, 12 = 2*b - 3*d. What is u in -2\/7*u**2 + 4\/7*u + b = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - g + 9. Let b(x) = 9342*x**4 + 5*x**2 - 469*x + 21. Let v(l) = b(l) - 3*h(l). Find the third derivative of v(s) wrt s.\nAnswer: 224208*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*150\/70 + -10. Let t(z) = -2*z**2 - 4*z + 4. Let h be t(-4). Let g(c) = -c - 9. Let f be g(h). Solve 2 = y*k - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1871, 3696, 5533, 7388, 9267?\nAnswer: 11176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.103 times 9.34\nAnswer: 19.64202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.1784893 to the nearest integer.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*a + 107. Let g be (232\/(-16))\/((-2)\/a). Does 4 divide 2\/(-8) + g\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8918, 35936, 81052, 144266, 225578, 324988?\nAnswer: 442496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15 - (3 + 16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 3. Suppose 21 = -3*f + 3*w, -2*w = 6*f - f + 7. Let q be g(f). Let r = q - -13. Solve -x - r - 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -23*z. Solve z = -3*w - 10 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883059161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 470*i - 2 + 2 + 71*i + 73*i to q*i + x and give q.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -760, -678, -596, -514, -432?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(15\/2))\/((-81)\/81)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(6)\/(sqrt(75) - sqrt(3))) + sqrt(4)\/(sqrt(2) + sqrt(2)*2 + sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 115. Calculate the remainder when 9 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - l = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:15 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0*f**3 - 23*f + 50*f + 4*f**2 - f**3 - 5 - 20*f. Determine w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476758 divided by 2?\nAnswer: -738379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 50.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -213, 4, 1083, -4 in descending order.\nAnswer: 1083, 4, 0, -4, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 4*c - 155. Let s = c + -50. What is the greatest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22639861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842633717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -124190793 at least as big as -124190793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p)**(-40)*(p*p\/((((p**1\/p)\/p)\/p)\/p))**(-18\/5))\/((p*(p\/(p*(p*p*p**(2\/9)*p*p)\/p))\/p)\/p**4)**49 assuming p is positive.\nAnswer: p**(3023\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 2, g: 3}. What is prob of sequence qgg?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imitrtttiirtimtttti. Give prob of sequence tim.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08 and -2.82031573.\nAnswer: -2.74031573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from yykigkkkq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1004115 - 3?\nAnswer: -1004118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = -3*g + 10536, 0 = 2*g + o - 7024. List the prime factors of g.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0136 (b) 3 (c) -48 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 324\/33 + 10\/55. Suppose 4*g + t - 6 = 3*t, 4*g = -4*t + 24. What is the third derivative of j*q**g - 12*q**2 - 9*q**2 + 6*q**2 + q**3 wrt q?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**3\/6 - 37*m**2\/2 - 4*m + 8. Let j(n) = 5*n**2. Calculate w(j(a)).\nAnswer: 5*a**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 2*r - 2*r)*(-1 + 2 - 2)*(3 - 3 + 2 + (4 - 3 - 3)*(0 + 4 - 3) - 12 + 6 - 8) to b + i*r and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -30 (c) 5.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -211*s + 207*s - 5*i, 4*i = 2*s + 54 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -2 (c) 3\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3907*q - 261700 - 109465 = 0 for q.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) 3 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82349.17 years to centuries.\nAnswer: 823.4917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 3:55 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1080 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 - 87*w - 50. Let u be o(13). Solve -4*r - 2 = -5*v + 2, -u = 5*v + 2*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 49.79 (b) 0 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/536907 and -123\/2240?\nAnswer: 171810240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 133, -267 in descending order.\nAnswer: 133, 5, 0.5, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(-24)\/f)\/f)\/(f**(-3\/2)*f*f) assuming f is positive.\nAnswer: f**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3 + 464*g**2 + 1843*g + 1380 = 0.\nAnswer: -460, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2 + 2*i**3 + 1 - 3*i**3 - 7*i + 9*i. Let j be o(0). Let u = j - -3. Solve -7 + 1 = u*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040480*p**3 - 520234*p**3 - 520236*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94773145 a multiple of 1027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**5\/510 - q**4\/204 + 2*q**3\/51 + 9*q**2\/2 - 5*q - 70. Let z(i) be the second derivative of y(i). Factor z(s).\nAnswer: -2*(s - 1)*(s + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122200 (base 3) to base 6\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (-2 + -4 + 1). Put 14, v, 0.5 in ascending order.\nAnswer: v, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-10)\/2 - 301534\/(-8)) + (-6)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16796350247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 99148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u - 2*x + 16, -2*x - 19 = -3*u. Suppose 66 = u*t - 4. What is the units digit of 8\/(-28) + 242\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgcu. Give prob of picking 1 c and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = f + 4*f. Solve -4*c - 3 = q + 10, -f*c - 5 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbgqbgbgbxb. What is prob of picking 1 q and 1 b?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)*k)**(5\/9))**(-45) assuming k is positive.\nAnswer: k**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 37*l - 826. Let p be w(23). Put p, 1, 0, -5 in increasing order.\nAnswer: -5, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) 1\/24 (d) -1\/47 (e) 256 (f) 22 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1 + 2.1. Let s be -1 + 1\/(4\/3). What is the third biggest value in 2, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 4. Let v be ((-44)\/(-10) + 0)*n. Is v\/(-2)*(1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -742 - -1539. Suppose 0 = y - 3*f + b, 0*y - 4*y - 3153 = -5*f. Let g = 1511\/2 + y. Calculate the common denominator of g and 3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 56 = 11*w. Let h(q) = 139*q**3. What is the remainder when h(1) is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q - 64. Let i be t(0). Let v be i\/(-30) + (-6)\/15. Suppose -559*a + 454*a - 742*a + 1167 = 320*a. Which is greater: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -182, -75, 164?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:46 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 164. Suppose b + 15 = 3*g. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*n + 292 = -193. Let x(j) = 5*j + 4. Give x(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18576.621006 and 0.89001.\nAnswer: -18575.730996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -21. Suppose 13 = -3*y + p*a - a, -17 = 4*y - 3*a. Let s(j) = -j**3 - 6*j**2 - 5*j - 7. Calculate s(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 3. Let j(b) = 4*b**2 + 8400*b - 8436. Let m(p) = j(p) + 8*n(p). Factor m(x).\nAnswer: 4*(x - 1)*(x + 2103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1453.58 + 1429. Let g = t + 25. Let m = -0.02 + g. Which is the closest to 9\/5? (a) -2\/3 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8. Suppose q = a - 1. Solve -3 - a = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -24. What is the nearest to -2\/3 in -3\/2, w, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -53*n + 36. Let k(m) = 2*m + 15. Let p be k(-10). List the prime factors of r(p).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6*(-39)\/364*-21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.824 and -17.85.\nAnswer: -17.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 5143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*l - 110 = 0, -2*l - l - 87 = -3*v. Calculate the lowest common multiple of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.009? (a) -3\/4 (b) 1\/56 (c) -0.1 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193864 divided by -2.\nAnswer: 96932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4329 (base 15) in base 9?\nAnswer: 21443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyetetettyeee. Give prob of picking 3 e.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 8}. Give prob of sequence nn.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(2057\/242*(-8)\/(-748)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, 1\/131, 0.1, -0.3?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + -12)*16\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25163 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -6. Let b = a - -6. Is -3\/5 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9*h + 20 = 0. Let b(m) = -m**3 - 2*m**2 + m - 1. What is the tens digit of b(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967*j**2 + 249*j**2 - 869*j**2.\nAnswer: -1587*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6, 2*g - 12 + 4 = t. Sort 2, -5, t, 0 in descending order.\nAnswer: 2, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001111010101001 (base 2) in base 15?\nAnswer: -4a450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-55)\/(-3))\/((15865\/114)\/(-167)). Let a = -1.6 + 2.5. Let l = a + 0.1. Is v > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 24 = 5*m, 0*i + 20 = 3*m - i. Let o = 42 - 74. Let g be ((-1)\/2)\/(2\/o). What is the greatest common divisor of g and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*d - 170*d - 4*q = 23, -4*q - 41 = -5*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let k(f) = -2*f**3 - 42*f**2 - 41*f - 26. Let l be k(-20). Let o be l\/(((-27)\/18)\/1). Put o, q, 1, 5 in increasing order.\nAnswer: q, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157792486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b + 2104 - 1871 - 20*b to the form n*b + z and give z.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4 = -r. Let m be ((-3)\/(-9))\/(6\/(-48)) - r. What is the nearest to 1\/2 in -3, 0.5, -0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 + 146564*g**2 + 732944*g - 879504 = 0 for g.\nAnswer: -6, 1, 36646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6195 and -5.\nAnswer: -6200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (10 + 2 + -13 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 2*q**3 + 2*q**3 + (4*q**3 - 3*q**3 - 2*q**3)*(2 + 3 - 4) + 11*q**3 - 3*q**3 + q**3 - 4*q**2 - q**3 + 4*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 17.4, -12\/7, -4, -3?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Suppose -2*p + 4*y + 10 = -4*p, 3*p - 18 = l*y. What is the common denominator of -149\/30 and (325\/165 + -2)\/(p\/59)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 17 = -2*s, -7*v + 4*v - 19 = -s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6 = -3*c, 3*c - 120*m + 118*m = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5569 - -1534. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 22. Suppose -2*k = h - 102, -h - 5*k + 97 + m = 0. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 27 (c) 4 (d) 3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 - 7*i. Give y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpwp when four letters picked without replacement from wprhhrpwrrhprrrrpwh?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 9.2. Let k = x + 0.8. Which is the nearest to -0.2? (a) 5 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*v + 14 - 79*v - 14.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 3 = -n + 17. Solve n*l - 10 = 3*y, -4*l + 8 = 13*y - 16*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + (-4 - -1)) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d + 2*s, -6 = 3*d + 4*s + 5. Calculate the greatest common divisor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115549 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -30) + 6 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 149*i**2 - 3650*i + 31710. Determine s(121).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**7\/(w*w**(-2\/55))*w**(-16)\/w*w*(w*w*w**(-2\/13))\/w assuming w is positive.\nAnswer: w**(-6519\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 4*j**2 - 7*j - 22. List the prime factors of t(7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/4 - 3570*a + 4248300 = 0.\nAnswer: 2380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 - (5 - -2 - 8)) + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5876 + -4?\nAnswer: -5880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31794284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 106\/(-2) + 1 + -1. Let v = -25 - m. Let d(u) = -5*u**3 - 2*u**2 - 2*u - 1. Let p be d(-1). Calculate the greatest common divisor of v and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-291 + 0) - -4. Find the common denominator of -27\/13 and (-24*(-12)\/w)\/((-6)\/9).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 2685*r**4 - 288225*r**3 + 12068595*r**2 - 223070760*r + 1509785244 = 0. Calculate r.\nAnswer: 18, 33, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 9. Let q be s(-3). Let y be 11 + 2\/(q - 2). Solve 0*z = 2*z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.0706476 or 0.2?\nAnswer: 5.0706476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305632930 to the nearest integer?\nAnswer: 17482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 2}. What is prob of sequence fpff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 16*d - 3. Let q be g(-8). Let i be 149\/(-7) - (-9)\/(q\/6). Let v = i - -64. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 0*o + 4*o)*(0*o - 2*o - o) + 5*o**2 - 7 + 7.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 12. Suppose q = v - 22. Solve v = -2*x - 5*m, -2*m = m + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 13. Let v be m(-13). Let k(d) = -d**3 - d**2 - 14. Determine k(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 7*h + 30. Let q be o(14). Let v = -1845\/7 - q. Sort 0.3, -2, v, -3 in decreasing order.\nAnswer: v, 0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 97 = 10. Suppose 4*a - v*r - 372 = 0, 4*r + 176 = 3*a - a. Calculate the greatest common divisor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 4320*a**2 + 1244160*a - 119439360.\nAnswer: 5*(a - 288)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 289511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m + 26. Let o be u(-5). Solve -5*h - o = -11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.776445 rounded to 1 dp?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 5. Let w(x) be the first derivative of j + 2*x**3 + 0*x + x**2 - 6\/5*x**5 - 1\/2*x**4. Solve w(u) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 37*l**2 + 76*l + 72. Calculate m(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179631 and 13149.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from vvufzfffcc?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 3. Suppose 5*f = y + 9, -y + 3 = -3*f + u*f. Let g be 0\/y - (3 + -4). Does 4\/5 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*r = 9, 3*u - r = 9 + 18. Let m = -29 + 2. Let d = m - -44. Calculate the remainder when d is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 117 = k + 120, 0 = -4*k - 2*d + 18 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*j - 2*j - 4*j + (0 - 2*j + 0)*(-3 + 4 - 2)*(3 + 1 - 6) + 11*j - 12*j - 12*j as c*j + m and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -892, -891, -890, -889, -888, -887?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/98*14\/15.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11576359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -23*s + 2. What is the remainder when x(-2) is divided by 1\/1 - (-21 - 3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 217?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1269.8 + -1183. Round f to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2661?\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(5\/4)*j*j*j\/(j*j\/(j\/(j**(1\/4)\/j*j)))*j assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/15)\/((-60)\/(-200))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/30 and -11\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 59*v - 553. Let p be m(10). Solve p*b - 10 = 42*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 - 8*k**2 + 13*k**2 + 0*k**2. Suppose 3*d - 16 = -d. Let a(y) = y - 3*y + d*y + y. What is a(s(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168 - -250. Let m be 3\/(-1)*d\/1722. Which is the nearest to -1? (a) 0.5 (b) -0.13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 132. Suppose l - r = -q, 0*q - 5*q = 4*l - 219. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 10*q**2 + 31*q + 53. Calculate g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - (-1288)\/(-49))\/(2\/(-14)). Suppose -w*b = -122*b - 14480. What are the prime factors of b?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 104 - 98*f**4 + 97*f**4 + 53 + 319*f**2 to q*f**2 + g*f**3 + a*f**4 + y*f + r and give q.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*h**2*j + 2*f*h**2 + 1297*f*j - 16*h**2*j + 2*h - 2*j wrt h?\nAnswer: 4*f*j + 4*f - 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - 2*y**2)*(-3*y + y + 0*y) - 4 + 4*y**2 - 6*y**2 + 10 + 3*y**3.\nAnswer: 7*y**3 - 2*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-153316)\/7 + (-4)\/(-14). Let m = 12902 + r. Round m to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (54 - 65) - -40?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x. Let u be y(-5). Suppose 21 = -2*i - 2*b + 111, -33 = -i - 4*b. Let r be (i\/2 - 3\/6) + -4. What is the highest common factor of u and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91208652 divided by -12228?\nAnswer: 7459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/11 - 366714*j\/11 + 8433364\/11 = 0.\nAnswer: 23, 183334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125.939 - 125.839. Let z = -0.2 + 0.1. Let c be (-26)\/8 - (-3)\/12. What is the closest to h in z, -2, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*y - 8 = 0, 46*d + 25 = 51*d + 5*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 88336, 117 in increasing order.\nAnswer: -1, 117, 88336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) -34.27 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100 + 105*z + 15\/2*z**3 + 125\/2*z**2.\nAnswer: 5*(z + 4)*(z + 5)*(3*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let z be t(1). Suppose -4*s + 8*s = 20. Let i be (-6 - -11)*((-1)\/s - 1). Sort z, i, -3.\nAnswer: i, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3820\/(-42) + (-262)\/(-786)*9\/(-63).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749627.\nAnswer: 139, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 - z + 129. Let c(t) = -6*t**2 + t - 130. What is 6*c(q) + 5*f(q)?\nAnswer: -q**2 + q - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1891+0.1\nAnswer: 1891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2771*w**2 + 5940*w + 150567980 wrt w?\nAnswer: -5542*w + 5940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*14\/(-105)*-2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258 + 275. What is the greatest common divisor of m and 340?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-3)\/189)\/(3\/(54\/7))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-96)\/(-40))\/((-3)\/(-39320)))\/(6\/12)?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l**2 - l - 2. Let y be j(-1). Let r = -6 + y. Suppose 2*n + r = 100. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 343\/30*m**3 - 1\/150*m**6 - 49\/20*m**4 - 134*m + 21\/100*m**5 + 0 + 0*m**2. Determine v so that s(v) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + h - 2*h + 6*h. Let k(v) = 3*v. Calculate k(l(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/270 - i**4\/54 - 22*i**2. Factor d(m).\nAnswer: 2*m*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, r: 14}. What is prob of sequence ee?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, v: 1, y: 2, t: 1, e: 2}. Give prob of picking 1 y and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2819\/7 - -410. Suppose -6*p = -10*p + 16. Suppose -p*r + 6*r - 59 = -3*l, -4*l + 75 = -r. Calculate the common denominator of w and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*t = -37 + 76, 11*t - 214 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Suppose v*r - 13 = -1. Suppose -3*p + r = -9. Solve 2*g + 4 + p = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 2*t**5 + t**5 + (-186 + 66 + 67)*(4*t**5 - 229*t**4 - 44*t**3 + 229*t**4).\nAnswer: -210*t**5 + 2332*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/40 - 9*g**4\/8 - 9*g**3\/2 + 15*g**2 - 47*g. Let c(k) = -k - 1. Give -108*c(h) + 4*o(h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1906348 and 71\/3812696.\nAnswer: 3812696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 12) + 12 + 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 6. Let q(x) = x**3 - 7*x**2 + 7*x - 6. Let h be q(6). Suppose h*w - 4*w = 36. Calculate the remainder when 7 is divided by i(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -115*l + 4. Let u(f) = 114*f - 5. What is -4*i(h) - 3*u(h)?\nAnswer: 118*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -780 by -3.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 5*r + 12. Let g be w(-11). Suppose 18*c - 20*c = -g. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3935 and 2221795440.\nAnswer: 3935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2558)\/5116*(-4)\/14. Factor 24\/7*k**2 + y*k**3 + 0*k + 0.\nAnswer: k**2*(k + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 198051.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 4 - 2 - 3*i. Let d(t) = -t + 5. Let f(h) = 6*d(h) + 5*y(h). Let g(n) be the third derivative of n**5\/12 - 8*n**2. What is f(g(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -2*t + 25*t - 11*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.127881 + 0.076214. Round r to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-4) - (-1)\/(-4). Let i = t - 10. Let p = 7 + i. Solve p*g - 2*g + 7 = 2*m, 2*m + g - 9 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214488698.3301 - 0.2\nAnswer: 214488698.1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41025669.2 - 41025584.5284435. Let j = 0.6714825 - f. Let a = j + 84. Round a to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-9)*16\/(-40)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 + -4 + 6 + 2 + 221 + -209?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j. Let w(r) = 62*r. Calculate w(y(i)).\nAnswer: 372*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4*1\/1)\/(12 + -10). Calculate the least common multiple of 1\/d + 660\/24 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -579943 divided by -44611\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -46 + -24 - (-1 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 2, b: 2}. Give prob of picking 2 w and 1 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 40 + 0*s - 59 + 20 + s. Let a(z) = 5*z + 8. Let w be (1\/(-3))\/((-2)\/6). What is w*a(t) - 6*f(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/478 and -9\/1912?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1348 - 1349. Let g be 2 + (-4)\/3 - 1. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - d + 3*d + 154 = 0, -4*u = -2*d - 206. Let k = 54 - u. Suppose -213 = -3*o + 5*h + 70, 206 = k*o + h. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(70)*-5)\/(sqrt(10) + -2*sqrt(1210)) - -1*(sqrt(21)\/sqrt(3)*-6 + 3)**2).\nAnswer: -751*sqrt(7)\/21 + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -75. What is the biggest value in g, -16, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 67*n - 77*n + 0 + 133*n wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25861, -51705, -77549, -103393, -129237?\nAnswer: -155081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*b = 3*f - 315, -3*b + 4*f - f + 9 = -8 + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -575.481 - -575. Let w = 0.181 + s. What is the third smallest value in w, -2\/19, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 0.4, 14, -2 in decreasing order.\nAnswer: 14, 0.4, -1.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b**2 - 2*b - 1. Suppose 3*s - 6*s - 6 = 0. Let z be c(s). Let y = z - 139\/2. Which is greater: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3889828904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 - 2*l**5 - 2*l**5 + (-3*l - 3 + 3)*(238*l**3 - 303*l**4 - 238*l**3).\nAnswer: 901*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 338 - -7?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184090.\nAnswer: 2, 5, 41, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14336*h + 1057*h - 9885*h.\nAnswer: -23164*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*l - 77*l**2 - 12*l - l + 4*l to the form y*l + s + g*l**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 5) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12 - 4\/936*-57\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 5*p + 1, 4*t - 5*p - 60 = -29 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 3*x - 29, 149*f = 151*f + 3827*x - 3830*x - 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = y - 17066, 34181 = 2*y - 103*o + 104*o. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18644 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/4 + 4*f**3\/3 - 2*f**2 - f - 34. Let b be (-9)\/2 + 1\/2. What is the units digit of c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 3*w**3 + 2*w**3 + 50*w**2 - 94*w**2 + 59*w**2.\nAnswer: -6*w**3 + 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 111*n**2 - 202*n + 1427. Give j(-109).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39864 divided by 132.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 565 = -3*d. What are the prime factors of d?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -11*i**4\/24 - 7*i**3\/6 + 14*i**2. Let z(d) = 6*d + 4. What is -3*k(l) - 5*z(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/60 + 5*c**4\/8 - c**3\/3 - c**2. Let d be l(15). Let w be -2 - 4\/(-6) - d. What is the nearest to w in -3, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (69 - 35 - 18)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1931 > -5371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 3:36 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 140, 498, 1206, 2384, 4152, 6630?\nAnswer: 9938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 10*c**3 + c**3 - 5*c**3 + 69*c**3.\nAnswer: 71*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/81*6)\/((-4)\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471681558?\nAnswer: 2, 3, 17, 263, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m. Let w(v) be the second derivative of -v**3\/6 + 11*v. Give w(d(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from eeecceceecceaac?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8733516.\nAnswer: 2, 3, 11, 109, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 0 - (110 - (4 + -5 + 14))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0*p - 1\/45*p**5 + 0 + 1\/18*p**3 + 1\/24*p**4 - 3*p**2. Solve m(y) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*f**2 + 511*f**2 - 196*f**2 + 108.\nAnswer: f**2 + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4370639004 to the nearest integer?\nAnswer: 66111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2325 - 755 = 5*n. Calculate the smallest common multiple of 10 and n\/6 - (-2)\/(-6).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 48*f**2 + f - 2. Let u be h(2). Suppose -2*r = 2*r + u. Does 3 divide ((-2)\/(-4))\/((-6)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3 + 2. Suppose -5*r - 4*y - 165 = 0, -5*y = -2*r - 10*y - 66. Let h = 37 + r. Calculate the least common multiple of a and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72522950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**5 + 16*w**3 + 60*w**2.\nAnswer: 180*w**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2188951 is divided by 883.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*1 + sqrt(272)*1.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4252\/3045 - -14\/435. Which is the second biggest value? (a) r (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 24 = 4*m - 4*b, 0 = -2*m + 5*b - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.274924 to 2 dps.\nAnswer: 2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -183\/43, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Suppose 0 = 3*s - q - 2*q - 3, 0 = -b*s + 2*q + 2. Suppose n - 8 = k, 5*k + s*k + 8 = n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + 260\/91.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 + 4*m - 1. What is the units digit of o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/3 and ((-24)\/21)\/(12\/(-70)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g - 2 + g**3 - 5*g**3 + 5*g**3 + 22*g as d*g + y*g**2 + m*g**3 + x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, -2\/11, -143, -0.3 in decreasing order.\nAnswer: 2, -2\/11, -1\/4, -0.3, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2049 greater than or equal to -605\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -331*z**2 + 1357*z - 1083. Calculate l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z + 3. Let o be r(-2). Suppose -10 = 24*y - o*y. Suppose 2*s - 15 = -l + 2*l, y*l = -10. Solve 3*c - 20 = 4*b, 3*b + 8 + 7 = s*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(11\/5)\/t)\/(t*(t*t**(-24))\/t)*t*t**12\/t*t*t*t*t\/(t**(-19\/4)*t))**(4\/37) assuming t is positive.\nAnswer: t**(879\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18389 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -106200 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35158007969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 3:40 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1 + 21\/(-6)). Let j = -7 - q. List the prime factors of 20\/(-1 + 0 + j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwlwblbwlbww. Give prob of picking 1 b and 2 w.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*23\/8 + (-93)\/744\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 0*d**2 + 3*d**2 + 3*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Suppose -3*m - 4*u + 29 = g, -27 = 2*m - 4*m + 5*u. Suppose -3 = -5*q + 7. Solve 0 = -q*b - m + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.67 - 3.27. Sort 3, n, 1\/4, -0.34.\nAnswer: -0.34, 1\/4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/12 - (-1 - (1 - 4))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/75 and -55\/93.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 357 and 33208?\nAnswer: 1693608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 11 + 41 + -14 + -14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 1)\/((-3)\/3). Let i be (-3)\/(6\/(-26)) - w. Solve 0 = -f + 5*u - i, 2*f - 5*u + 5 = -7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.4, -3\/50?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88536, 177049, 265464, 353733, 441808, 529641, 617184?\n\"Answer: -8*v**3 - v**2 + 88572*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 40. Let n be o(0). Let z be 1\/((-4)\/1872)*8. Does 25 divide z\/n + 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d**3 + 8*d**3 - 5*d**2 + 0*d**2 - 19*d**3 wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 782, 1550, 2366, 3254, 4238?\nAnswer: 5342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -0.283.\nAnswer: 0.00849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f - 9. Calculate the remainder when f\/(-15) - (-188)\/10 is divided by 5*1\/((-2)\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 161284859621.3 and 181.\nAnswer: 161284859802.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 5:53 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s + 6. Suppose -5*h - 5*f = -s*f - 44, 4*h - 40 = -4*f. Suppose -h*l + 10 = -7*l. Solve 1 = -3*o - l*k, -o - 3*k + 3 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*g**4 + (-3*g**2 - 3*g**2 + 4*g**2)*(-g + g + 2*g**2) + (-3*g**3 + 3*g**3 - 5*g**3)*(12*g - 73 + 73).\nAnswer: -62*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/65 or -1780.138?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*m*w**3 + 7410*m*w**2 + m*w - 11*m + 48*w**3 - 3*w**2 - 3606550 wrt w?\nAnswer: -330*m*w + 14820*m + 288*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*q + 1)*(-1 + 1 - 2)*(-2 + 2 + q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479 divided by -69794.\nAnswer: -479\/69794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/504 - 16*q**7\/315 - 16*q**6\/45 - 378*q**2. Factor j(a).\nAnswer: -2*a**3*(a + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 52. Suppose 30 = 8*i - 10. Calculate the highest common divisor of i and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07032 + 0.0700972. What is h rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -2*v, z + 3*v = 19 - 8. Differentiate -478 + 480 + 2*m + 22*m**3 + 2*m**2 - z*m with respect to m.\nAnswer: 66*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 1 = -59 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 5*p + 1. Let f = -119 - -123. Let g(v) = -v**3 + 6*v - 2. What is f*c(b) + 3*g(b)?\nAnswer: b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/6 + 3*d**2\/2 - d. Let a be 16\/24 - (-1)\/3. Let i be 2\/8 + a\/(-4). Determine g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -74. Suppose 5*s + k = 314. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-99\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.95 * 0.936.\nAnswer: -58.9212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2852370 or -5704737\/2?\nAnswer: -5704737\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 2*s - 2. Let m be q(-2). Let v = -4 - m. What is the units digit of v - 0*(-1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*14\/(-1365)*190\/38?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/9)\/(36\/54))\/(6*(-5)\/100)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/(-5)*-6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0 - 1\/60*c**5 - 1\/3*c**3 + c + 3\/2*c**2 + 1\/6*c**4. Let v(z) be the first derivative of f(z). Give v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -51. Solve -k*z + 4*z = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 19 - 51*x**2 - 2*x + 70*x**2.\nAnswer: 19*x**2 + 2*x - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-90))\/(34\/(-85))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 1. Let i(z) = 5*z + 1. Let j(w) = i(w) - 2*y(w). Let g(o) = 2*o - 3. Give 2*g(u) - 6*j(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -5*i - 56, 87 = -9*i - 2871*x + 5748*x - 2876*x for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2704, 1, 0, -4, -5, 48 in ascending order.\nAnswer: -5, -4, 0, 1, 48, 2704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*p = -9, 13 = 2*y - y + 4*p. Suppose 0*c + 4 = -2*c - 2*n, 8 = -2*n. Put y, c, -1 in decreasing order.\nAnswer: c, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 10, d: 3, y: 1}. What is prob of picking 1 x, 1 d, and 1 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 d when four letters picked without replacement from {j: 1, e: 4, n: 6, d: 4, t: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 46*f**3 + 66*f**2 + 1854*f + 3564.\nAnswer: 2*(f - 18)*(f - 11)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60206)\/(-24))\/(1 + 0). Let x = a - 2506. What is the common denominator of 58\/(-8) + (-6)\/(-4) + -1 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 - 2018 = 100*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 324317.0791 to the nearest 10.\nAnswer: 324320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w + w**3 - 30*w**2 + 33*w + 15*w**3 - 11*w**3.\nAnswer: 5*w*(w - 5)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugjj when four letters picked without replacement from {n: 8, j: 2, g: 2, u: 2, q: 5}.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-3))\/((-4)\/(-18)). Let x be k\/8 + 91\/4. What is the highest common factor of 242 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Suppose -2*m = 3*c - 0*c - 16, -14 = m - 4*c. Suppose -6 = 5*p - m*d, -3*d - 3 = -3*p - 4*d. Let s(h) = h + h + p*h. Give q(s(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*p**3 + 3*p**2 - 5 wrt p.\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0745 + -189283\nAnswer: -189282.9255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 45, 4, -0.4, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -661 + 13211\/20. What is the common denominator of a and 77\/102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 12220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011363371 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9989 - 10022. Which is the biggest value? (a) 7 (b) n (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 951, 947, 943, 939?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18044647?\nAnswer: 18044647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (3\/(-9))\/((-6)\/144).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p = 53*p + 2444. Let k = -611 - p. Which is greater: k or 1\/248?\nAnswer: 1\/248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -604?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-16)\/(-18)) + 25*120\/(-2700).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*t - 32. Let y(p) be the second derivative of 0 - 1\/3*p**3 + 2*p + 0*p**2 + 1\/4*p**t - 1\/20*p**5. Factor y(w).\nAnswer: -w*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*x - 99, 3*x + 4*r = -x + 124. Calculate the highest common factor of 51 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 809 = 725. Suppose -5*s + 195 = 25. Calculate the remainder when s is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 83*b + 3. Let l be i(-10). Sort -4, 2, l, -3 in decreasing order.\nAnswer: 2, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-450)*81*2\/6\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28.73018238 and -13.1.\nAnswer: -41.83018238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.022277 + -40.984123. Let l = -41 - n. Round l to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 22476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41746275509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65*((-11)\/5 - -4). Let c be (-26)\/y - (-1624)\/18. Suppose 5*p - 5*k = c, -2*p + 18 + 8 = 3*k. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 13*o**2 + 12*o + 3. What is g(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5516, 5651, 5786, 5921, 6056, 6191?\nAnswer: 6326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000011010000101111 (base 2) to base 4.\nAnswer: -11003100233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k**2))*k)**15\/(k**(-7)\/(k*k**(-2))) assuming k is positive.\nAnswer: k**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144753472069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10153822 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22328616, 22328617, 22328618, 22328619, 22328620, 22328621?\nAnswer: 22328622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 6*c - 222*w + 218*w, -3*c + 3*w + 15 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 6 = -4*s - 5*u, 4*s + 3*u = 22. Let d be 1\/(-2) + s + 9\/(-6). Let x(a) = a + 5*a - a - d*a. Let p(f) = f**2. Calculate p(x(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -420*p + 2120, -75 = -6*q + 9*q - 3*p for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22c21a76 + 4?\nAnswer: 22c21a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = -16. Let n(g) = 34 + 4*g - 2*g - 30 + g**2. Determine n(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 35 = -13. Suppose 3*n = s*h + 63, -6*n = -5*n - 2*h - 21. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.85 - 0.8. Let k = l - 4.05. Let g be (-297)\/198 - 4\/16*-2*5. What is the fourth smallest value in g, k, 9, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*8\/(-20) - (0 + 6). Suppose 5*t + 2*l - 7560 = 0, 0 = -4*l - d*l - 20. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -465*b**4 - 1529*b**3 - 445*b**2 + 36*b + 11. Let g(t) = -155*t**4 - 509*t**3 - 148*t**2 + 12*t + 4. Let z(w) = 11*g(w) - 4*x(w). Factor z(c).\nAnswer: c*(c + 3)*(5*c + 2)*(31*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + s + 84. Determine y(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 6)*(-f**2 + 7*f**2 + 0*f**2) to y*f + t + a*f**2 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4431645690.\nAnswer: 2, 3, 5, 19, 617, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 272533439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -9 - -29 - (0 - 12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -5*s**2 + 4*s + 6. Let t be a(-2). What is the greatest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)*p*p*p**(1\/18)*(p\/p**(-1\/18))\/p**(17\/3) assuming p is positive.\nAnswer: p**(-83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - u + 44. Let p be k(-7). Solve p*x + x = 2*o - 3, 5*x = -o - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9.92. Let t = r + -0.080015. Round t to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4285, 3592, 2429, 790, -1331, -3940?\n\"Answer: -h**3 - 229*h**2 + h + 4514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13248.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from cvccdcccctcdcpccdtpc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1285120 divided by -80320.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**3 - 520*l**2 + 4480*l = 0.\nAnswer: -112, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 701311*c**6*x + c**5*x**2 + 935*c**2*x - 1611*c*x**2 wrt c.\nAnswer: 84157320*c**3*x + 60*c**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 293*i**3 + 7*i**2 - 7*i - 10. Let b(y) = -195*y**3 - 5*y**2 + 5*y + 7. What is -7*b(l) - 5*o(l)?\nAnswer: -100*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 10:09 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2 and -64\/963.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -248*g**2 - 20*g + 196. Let c(m) = 248*m**2 + 23*m - 195. Let b(f) = 6*c(f) + 7*w(f). Differentiate b(v) wrt v.\nAnswer: -496*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 63 + 3 = 0. Let g = p + 5. Solve 4*t - 4*y = -g, 3*t + y - 2 = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51133, -102315, -153513, -204733, -255981, -307263?\n\"Answer: -r**3 - 2*r**2 - 51169*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (33946\/771)\/(-11). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38833*o**2 - 68809 wrt o?\nAnswer: -77666*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-16) + (1 - 399\/(-56)). Let u(y) = y + 8. What is the units digit of u(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + l - 3*l + l - 44.\nAnswer: -l - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h = -22 + 55 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/3*(-3)\/(-1). Suppose -w*o + o - 4 = 0. Is 5 a factor of (0 - 5)\/(1\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.956168 to zero decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12423, -24884, -37345?\n\"Answer: -12461*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20538736, 20538729, 20538722, 20538715?\n\"Answer: -7*f + 20538743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14423 - 5014875.\nAnswer: -5000452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 + 85846*q\/11 + 257556\/11.\nAnswer: -2*(q - 42926)*(q + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22882168979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*y**2 - 34*y**2 + 70*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 216 (c) -5\/6 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365189 is divided by 6759.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0, 2\/3, -2\/9, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 845 and 66586?\nAnswer: 332930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 9*u**3 + 7*u**3 + 2*u.\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-2 - 1*-5). Let a(i) = i - 2. Let g be a(r). Solve -1 = g*t - 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 65148 and -2249.\nAnswer: 62899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 918 + -911. Solve u*w = 8*w + 12*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 2594574*s**2 + 841470293712*s + 4207416333160.\nAnswer: 2*(s - 648646)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 - (-12 + (8 - 3)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -23*x. Let i be u(-1). Let z = i - -13. Let l = 179 - z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47254*u + 495*u**2 - 47254*u.\nAnswer: 495*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(98) + 3) - (sqrt(14) + sqrt(14)*-3 - sqrt(14))\/sqrt(7))**2.\nAnswer: 18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*d = -124*d + 68*d - 90 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -2, -16, -48, -104, -190, -312, -476?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.4, -0.3, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -250824 divided by -35832?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67772152909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -14, 0.3, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)\/(g\/(g*g*g\/(g**(-2\/11)*g))*g)*g**26\/g**20 assuming g is positive.\nAnswer: g**(-53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5313 and 39?\nAnswer: 69069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8966794 by -4483397.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-36) - 0\/(-1). Which is the nearest to 9? (a) -0.5 (b) w (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 17*r. Give g(8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2769 (b) 4 (c) -0.3 (d) 2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 - 1516*b**4 + 136728*b**3 - 4179344*b**2 + 37482848*b + 92801280 = 0 for b.\nAnswer: -2, 26, 65, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 676609*b**2*x**2 + b**2*x - 5306*b**2 + b*x**4 + b*x - 2*b wrt x?\nAnswer: 1353218*b**2 + 12*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 815 + -379. List the prime factors of o.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 3*sqrt(20)*1 + sqrt(20))\/((sqrt(120) + -2*sqrt(120) + sqrt(120))\/sqrt(12) + sqrt(10)))**2 + (0 + sqrt(100)\/sqrt(2) + sqrt(50) + 3)**2.\nAnswer: 60*sqrt(2) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, e: 2, w: 1, i: 1}. What is prob of picking 2 e and 1 w?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(6))\/sqrt(4) + sqrt(10))\/(sqrt(2) + 3*2*sqrt(2)) + (0 + -1*sqrt(5) - sqrt(20)\/(sqrt(16)\/sqrt(4) + sqrt(4))).\nAnswer: -17*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24435 + 4?\nAnswer: 24442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1202 divided by -2.\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (-2*2*sqrt(3400))\/(sqrt(4)\/(sqrt(288)*-3))))**2.\nAnswer: 184320*sqrt(17) + 564019456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5365545*m**2*n**3 + 9*m*n**3 - 3*n**3 + 974*n**2 - 6*n - 707 wrt m?\nAnswer: -10731090*m*n**3 + 9*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 13*l**2 + 28*l + 5. Calculate the smallest common multiple of 91 and z(-9).\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/11, 26, -0.17 in ascending order.\nAnswer: -5, -2\/11, -0.17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2*l + 165*i**2 + 4624*i*l**4 - i - l**2 + 18 wrt l?\nAnswer: -2*i**2 + 18496*i*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -4*j**3\/3 - 2*j + 8. Let r(o) = -15*o. Give r(x(u)).\nAnswer: 120*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1584))*2 - sqrt(1584) - 5*-6*-1*sqrt(11))**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:36 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 1. Let m(p) = 3*p - 3. Let l(j) = -m(j) + 2*u(j). Let t be l(-2). Let c be ((-60)\/150)\/((-1)\/60). What is the highest common factor of t and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*m - 66*m**2 - 34*m)*(3*m - 3*m + m**2 + 2) + 20*m**3 - 20*m**3 - 6*m**4.\nAnswer: -72*m**4 - 132*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -2.04. Let g = m + -6. Let f(j) = -3*j**3 - 157*j**2 - 49*j + 158. Let l be f(-52). Sort -24\/7, l, g.\nAnswer: g, -24\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by (((-624)\/(-42))\/(-2))\/(12\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*j + 2*v + 15, 2*v + 19 = 5*j. Suppose 4*p + 22 = -b + 183, j*b = -4*p + 515. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -350420 + 350420 + 26*s - 2*s**2 to the form z + p*s + o*s**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10712 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 2*v**2 + 4*v - 2. Let x be u(3). Sort 2, 3, x in descending order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*k - 530, -276*z + 556*z + 5*k - 510 = 283*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1582, -6345, -14282, -25393, -39678?\n\"Answer: -1587*x**2 - 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 - 8*x**2 + 8*x - 8. Let a(n) = n**3 + n**2 - n + 1. Calculate -8*a(j) - p(j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/9 - 4732*c**2\/9 - 9478*c\/9 + 4736\/3 = 0.\nAnswer: -3, 1, 2368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 8600.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8 - 524\/16. Calculate the common denominator of 9 and (2 - 0)*70\/q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-84)*3\/(-2))\/((-3)\/42)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (0 + (-3 - -6)))\/(-1). Suppose 4*w - 141 - 43 = j. Suppose w = -d + 110. Does 53 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -79*h**2. Suppose 147956 + 57493 = 3*x. Let v(o) = 68483 + 2*o - x. Calculate n(v(d)).\nAnswer: -316*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 5.97. Let t = v + 4. Is t not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -19*v**3 - 11*v**2 + 11*v + 17. Let j(n) = -9*n**3 - 6*n**2 + 6*n + 8. Let k(r) = 11*j(r) - 6*z(r). What is the first derivative of k(u) wrt u?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1033332?\nAnswer: 1100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -ac9c?\nAnswer: ac8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 7*g**2 - g - 45. Let q be w(5). Let c(p) = p**2 - 6*p + 5. Let i be c(14). Sort i, q, -5 in descending order.\nAnswer: i, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 3*j**2 + 3*j + 2. Suppose 0*b + 4*b = 5*h + 3, -5*b = 2*h + 21. Give i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 2962760.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eey when three letters picked without replacement from {e: 9, o: 6, y: 2}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 14*l**2 + 2. Let v be a(14). Let j(o) = o**3 + 6*o**2 - o - 1. Let u be j(-6). Put -3, v, u in ascending order.\nAnswer: -3, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*t**3 - 2*t**3 + 17*t**3 + (2*t**2 - t**2 - 2*t**2)*(12*t - 2*t + 3*t) - 2*t**3 - t**2 + t**2.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m - 3*c = -23*m - 4, -3*c = 2*m + 2. Let g(z) be the first derivative of z + 0*z**m - 10 - 11\/3*z**3. Differentiate g(i) wrt i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.6722 months in decades?\nAnswer: 6.663935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 102 = -11*t. Solve 16 = t*f + 25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + (sqrt(14)\/sqrt(2))**2 + -4 + sqrt(49)\/(sqrt(28)\/sqrt(4)).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y - 10, 4*c + 2*y = 0. Solve -d + 2*d = -c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-86)\/(-18) + (-2)\/(-9). Suppose 0 = -4*k + 3*k + 16. Let v = 5 + -4. Solve -v = -r*d - k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738288 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47461\/2520 - 1\/2520. What is the common denominator of -17\/7 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3400549 and 12133.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o - 45 + 267 = 0. Solve 0 = -o*m - s - 16, -2*m - m - 3*s - 18 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7185671 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 200882393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose c*a - 3*a = 3. Sort a, -2, 4 in ascending order.\nAnswer: a, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -64, -63, -62, -61, -60?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8995 divided by -7?\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 569.\nAnswer: 7397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18888179.\nAnswer: 18888179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2497 and 1229659.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:33 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, 4, 1 in descending order.\nAnswer: 4, 1, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.5 (b) 1.77 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285454 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/3))**0*(u**(-1\/3))**(7\/6)*(((u*u**2*u)\/u)\/((u\/(u\/u**7))\/u))**(-15\/2) assuming u is positive.\nAnswer: u**(199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**3 - 355*t**2 + 176*t - 778. What is a(39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12962426599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, z: 7}. Give prob of picking 1 z and 1 e.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472187251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 154377.405 minutes?\nAnswer: 15.31521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 3*r**5\/4 - 179*r**4\/6 - 288*r**3 - 112*r**2 + 5345*r. Factor v(x).\nAnswer: (x - 28)*(x + 4)*(15*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25015.045 - -25015. What is the smallest value in -1, a, 2\/9, -0.041?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a week in minutes?\nAnswer: 10752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 238 = -17*c + 5*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u = 0. Suppose 0 = 5*o - k - 161, -3*o + 4*o + 3*k - 29 = u. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - a + 0 - a**5 + 7 - 3 + 40*a**4 - 39*a**4 wrt a?\nAnswer: -20*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-21)\/15) + -5. Let f = -5 - -8.5. Let j = f - 3. What is the closest to 0.1 in o, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 26722953950*i**2 + 26722953950*i**2 + 1.\nAnswer: -6*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290\/12957 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*3*(-6)\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t**3 - 1\/105*t**7 + 0*t**5 - 1\/8*t**4 - t**2 + 0*t**6 + 0 + 0*t. Find the second derivative of g(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 100?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8373172?\nAnswer: 2, 71, 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 212310?\nAnswer: -212321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -39*b. Let y(i) = 138*i**2 + 3. Give y(x(r)).\nAnswer: 209898*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 9 - 4587*j + 4587*j to h*j + d + u*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -183445536?\nAnswer: 183445536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 987, -3\/11 in increasing order.\nAnswer: -5, -3\/11, 10, 987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2254 + 2249. Sort b, 1, 4, 5 in ascending order.\nAnswer: b, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 + 8*u**2 + 38*u + 29. Give x(-3).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 4*x - x)*(875 - 10001269*x - 58 + 10001265*x).\nAnswer: 8*x**2 - 1634*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 2. Let x(i) = 2*i - 2. Let n(f) = 3*m(f) - 4*x(f). Determine n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 3, -6, 1 in descending order.\nAnswer: 10, 3, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 12281*k - 67. Let m be l(9). List the prime factors of m\/132 + 1\/6.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557118 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) - (-112)\/(-5). Let z = -1 - i. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25407560 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-17))\/2*(-315273)\/(-2101820)\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6))\/(2\/(-4)). Suppose u*g - 6 = g. Suppose -5*i - g*y = -i - 28, 5*y = -i + 24. Calculate the least common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + -d?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/120*((-2)\/(-77) + (-28892)\/9548).\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 12 + 8. Let p be 352\/t + (-4)\/(-10). Calculate the highest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jafjafhjajabfeba. Give prob of picking 1 f and 1 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -30, 4 in decreasing order.\nAnswer: 10, 4, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1883 and 1839153?\nAnswer: 12874071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32614, 65239, 97878, 130537, 163222, 195939?\nAnswer: 228694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1089*s**4 + 2*s - 107.\nAnswer: -13068*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 726*w**2 - 5021*w + 4. What is n(-7)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:43 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -326 divided by -422\nAnswer: 163\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34115 is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -8*h - 8*i + 7*i + 13, -212 = 5*h - 3*i + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - x + 536 = -2*j, -3*j = 2*x - 1606. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1465 + -1460. Solve 3*b = x*v + 31, -54*b - 14 = -51*b + 4*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -587 + 589. Find q, given that 2\/19*q**u + 6\/19*q + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + d**2 - d + 2. Let k(c) = -c**3 - 7*c**2 - 43*c - 225. Let q be k(-6). What is n(q)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10819793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3\/4 + (-6)\/(-28 - -4) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(133) - -6*(sqrt(133) - sqrt(133)*2)) + sqrt(133) + sqrt(133))*6)\/((sqrt(189)*2)\/sqrt(3)) + 5)**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u**2 - 4*u - 15. Let b(a) = -6*a**2 + 2*a + 7. Suppose 3*q + 4*p = 2, p + 2 = 5*q - 9. Let f be ((-3)\/(-5))\/(q\/(-30)). Determine f*b(v) - 4*z(v).\nAnswer: 2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -236.273*0.2\nAnswer: -47.2546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(2 + sqrt(243))*-5 - ((sqrt(243)*1 + -4)**2 + -5 + 0 + sqrt(243)).\nAnswer: -154 + 513*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10000010010000010010101?\nAnswer: -10000010010000010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 891 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 10. Is 0 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g*g)\/(g\/(g*g**8\/g)*g))\/(g*g*g\/(g\/g**0*g)*g)**(28\/3) assuming g is positive.\nAnswer: g**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30288871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171258753.\nAnswer: 3, 4397, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*j - 7*j - 25 = 0, 31 = 5*k - 2*j. Suppose 3*i = -3, -7 + 15 = k*n + 2*i. Let s be (0 + 1 + 0)\/(15\/(-6)). Sort s, 4, 0.5, n.\nAnswer: s, 0.5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 12231?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 559239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-37)\/(z**(2\/13)*z\/z**1)*(z**(1\/5)\/z**3)**43 assuming z is positive.\nAnswer: z**(-10241\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16157463.\nAnswer: 3, 7, 17, 45259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 2994279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4057742 + -12?\nAnswer: 4057730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from iccciicccccccccc.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/(4\/(8\/(-1))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 768301292 take away -0.09?\nAnswer: 768301292.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 6*z - 13. Let h be b(-2). Suppose -4*o + 10 = o. Let v(u) = -29*u - u**o - 25*u + 63*u. What is v(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565536?\nAnswer: 2, 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exegggcgcgceg. Give prob of picking 1 c and 1 x.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23568 by 305.\nAnswer: -23568\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -34) + (-3)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20794064*o**4 + 94350483.\nAnswer: 83176256*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10390725 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05022 + -36148.\nAnswer: -36147.94978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -957 + 1522. Suppose -18*b = -13*b - g. Let m = b + -66. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 978 = -2*h + 154. Find the common denominator of -2 + (-4)\/((-192)\/h) and 47\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1652436278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j**3 + 11*j**2 + 3*j - 17. Let s(u) = 10*u**3 + 7*u**2 + 2*u - 11. Give 5*m(t) - 8*s(t).\nAnswer: -5*t**3 - t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*t**3 - 28*t**3 - 25*t**3)*(2 - 4 + 1)*(1 - 2*t - 1).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 + 4*j + 4. Let u(m) = -4*m**2 + 3*m + 3. Let p be (-29)\/(-58)*6\/1. Determine p*h(n) - 4*u(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 133*d**2 + 89*d + 61. Let v(p) = 45*p**2 + 30*p + 21. Let x(s) = 4*b(s) - 11*v(s). Is x(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819153 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: Expand ((3*g + 5*g - 4*g)*(3 - 2 - 2) + 19*g + 206 - 206)*(2 + 2 - 1).\nAnswer: 45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 139.6627 + 3665\nAnswer: 3804.6627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-218*a - 33*a - 158*a)*(a**2 + 12*a**2 + 2*a**2)*(-3*a - a + 2*a) to i + k*a**2 + x*a**3 + r*a + m*a**4 and give m.\nAnswer: 12270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.34 + 0.33999918. Round x to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-42))\/(48\/(-84))*(-4)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/20*(-70)\/(-84)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 9 = -0*h, -h + 40 = 4*b + 29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 + -141. Solve -4*k + 17 = -w*z - z, 4*k - 15 = -z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012273 rounded to 7 decimal places?\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-22) - (-3618)\/5159. Suppose -3*g - 4*h + 2 = -9, 5*g + 25 = 2*h. Which is the third smallest value? (a) 4\/7 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37107 divided by -171\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 3 - 3 + (-1 - 1 + 1)*(-c + 2*c - 2*c))*(-3*c**2 + 2*c**2 + 5*c**2) to the form u*c**3 + p*c**2 + g*c + a and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -757*a**2*m*s**4 + a**2*s - a*m*s**2 + 4*a*m*s - a*s**2 + a*s + 14*m*s**3 wrt s?\nAnswer: -18168*a**2*m*s + 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4798997553?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7276 and 3196.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12042 by 6.\nAnswer: 2007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3167*v + 4 = 3169*v. Solve -4*c + 2*c + 12 = -2*z, v*z + 27 = 5*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1005621 (base 9) to base 5.\nAnswer: 114114331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppnpnpp. What is prob of picking 4 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1*0\/10)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-10)*10\/6. Suppose 829 = -u + 6*v - h*v, -v = u + 839. What is u rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224728377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003276 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 + 6*j + 2. Let f be b(-4). Let p(u) = -f*u + 3*u**2 + 10*u - u**2. Let g(s) = -8*s. Calculate p(g(v)).\nAnswer: 128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/16*-2 + 21850\/(-1520)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425 is divided by 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -241, -235, -231, -229, -229, -231?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 31020*r**3 - 47701146*r**2 - 167950314180*r - 87942601557243.\nAnswer: -3*(r - 6063)**2*(r + 893)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74092 is divided by 8179?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + a - a)*(-261 + 45*a + 261 + (-11 - 2*a + 11)*(0 + 3 - 4)) to w + m*a**2 + k*a and give m.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010647143 to six dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 + 989\/8. What is the common denominator of -75\/4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1249837*y - 14998053. What is n(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**1)\/w)\/w)\/w)**5\/(w**(2\/7)\/w**(-5)) assuming w is positive.\nAnswer: w**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is the third smallest value in 1\/11, -476, -0.1, 0.2, 0.4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 997.7 to the nearest ten.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 3*w + 10*w + 1. Suppose 0*q = -q + 1. Is h(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 95409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4 + 4)*(-2 + 3 + 2)*(3*h**2 + 3*h**2 - 7*h**2) - 2*h**3 - 7*h**3 + h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2234*d*i**5 + 6*d*i**2 + 2*d + 2*i**5 + 3*i + 4835 wrt i?\nAnswer: -44680*d*i**3 + 12*d + 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 - 5*s + 1. Let a be c(4). Let u = -15 + a. Calculate the remainder when 41 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2310411142 (base 5) to base 13.\nAnswer: -10c0006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346682 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: Expand (6 - 17 + 2)*((-2 + 6 - 3)*(3*z**3 - 4*z**3 + 3*z**3) + 4*z**2 + z**3 - 4*z**2 + 2*z**3 - 5*z**3 + z**3 + z**3 + 0*z**3 + 0*z**3 + z**2 + z**3 - z**2).\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35936 - -1509467\/42. Find the common denominator of 55\/18 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from rrqqbhqtrtqrhhrtm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/3 (c) 121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*l - 5*p - 21, -3*l + p = -19. Suppose 3*a = 0, l*y = -15*a + 10*a. Solve y = -2*v - 6, -4*v - 4 = -5*n - 6*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*o + 5*l, -3*o + 25 = 2*o + 5*l. Let m be 2\/(-8) + (-2)\/(-8). Let t = m + 3. Solve t - 2 = -n, -3*a + o*n = -18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2429, -2470, -2553, -2690, -2893, -3174, -3545, -4018?\n\"Answer: -2*u**3 - 9*u**2 - 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 134*g + 1. Let y be u(1). Suppose 4*v + v + y = 0. Let n = 27 + v. Solve n*r = -r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1315.3 - 1314.9. Let f = -76 + 77.96. Let z = f + -2. Which is the biggest value? (a) g (b) z (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 973 + -973. Solve -2*k + k - l - 6 = g, 0 = 3*l + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725 - 716 - 718 - 725 + 15*z**2 + 2884.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26838, -26869, -26900?\n\"Answer: -31*m - 26807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1306 + -1846. Let w = 540.237 + t. What is w rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734*y + 2430 = 76*y. Let t = 8 + -6. Solve -t = y*p - 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 26*y = 120. Let p be 27\/(-45) + (-596)\/y. Is 58 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4503 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11158750?\nAnswer: 2, 5, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 6)*93\/(-3). Suppose 3*y + 4*b = -b + h, 4*b + 4 = 0. Let c = -5 + y. Solve -3 = 2*d + c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 46728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -239, -355, -471, -587, -703?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -508868505*d*g - 418762*d*u**3 + g*u**3 - g*u with respect to u.\nAnswer: -1256286*d*u**2 + 3*g*u**2 - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -44. Let k = -76.999903 + q. Round k to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrxrrrrxxrrrrxr. Give prob of picking 1 x and 1 r.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**2 + 3*m**2 + 4*m - m - 7*m**2 + 3. Let n(a) = 27*a**2 - 8*a - 8. Let t(s) = 8*i(s) + 3*n(s). Let r(q) = -q. What is t(r(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 16 + 10)*(2 - 11 + 1)*(0*m - 4*m + 3*m).\nAnswer: 152*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -377.2 and -0.3.\nAnswer: 113.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - a, -p + 0*p = 4*a - 18. Find the second derivative of -8 + p + 8 - 87*t**4 - 32*t wrt t.\nAnswer: -1044*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/3))**(-8)*((g*g*g**(-2\/15)*g*g*g)\/g)\/(g**(-4)\/g))\/(((g*g**(-1\/2)\/g*g)\/g*g)**(4\/7))**0 assuming g is positive.\nAnswer: g**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 2*n**2 - 5*n - 1. Let c be j(3). Let z = 35 - c. What is the lowest common multiple of 21 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 132 = -5*y. Let n = 49 + y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/4 + 2*q**3 + 5*q**2\/2 - 7*q - 5. Suppose 2*w - 25*v = -20*v + 15, -w = 2*v - 3. List the prime factors of i(w).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -2582745800 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 3:30 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*((1 + sqrt(112) + -3 - sqrt(112)) + 0 + sqrt(112) + 3))**2*5.\nAnswer: -565 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 471526547 plus -0.025178?\nAnswer: 471526546.974822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/5589341 and 40\/23?\nAnswer: 128554843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -104*x**2 - 215*x. Let s(d) = -2*d. Give s(n(r)).\nAnswer: 208*r**2 + 430*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152670 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 10*b**2 + 2. Let d be h(-10). Suppose 0 = d*g - 5*g + 9. Let a(f) = 8*f**2 - f**g + 0 + 0*f**3 + 8*f + 12. Determine a(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 + 2*n**3 - n**3 + 2 + 4*n**3 wrt n?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8232 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 274 (b) 4\/7 (c) -0.05 (d) -27 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3722 + 3744. Calculate the least common multiple of b and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*u**3 + 61503*k**4*u + 82*k**2*u**2 - 5*k*u**3 + 2*u**3 - 67 wrt k?\nAnswer: 48*k*u**3 + 1476072*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 32 = -3*o, 2*o - 49669*p + 49666*p = 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/12)\/(70\/(-630))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = a + 4*r, -6 = 2*a - 6*r + 4*r. Suppose v + 1 = 0, 7*v - 22 = -c + a*v. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 40653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*r - 7 - 2, -5*p + 55 = 5*r. Suppose r*t = 10*t - 314. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41601406.\nAnswer: 2, 7, 11, 151, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 0) + -12 + -13 + -21 + (70 - 17)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -264, -300, -336, -372, -408?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-0.197.\nAnswer: 0.2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1067eb?\nAnswer: 1067e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164346487 to the nearest integer?\nAnswer: 12820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 - -8 - (1 + -11). Let a(y) = 64*y - 15. Let z be a(o). Let l(r) = -7*r**2 - 369 + z. Let u(s) = 4*s**2. Give u(l(m)).\nAnswer: 196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 2*j + 4. Let n = -71 + 71. Let r be u(n). Suppose r*x = 2*m, 0 = -0*m + 2*m + 4*x. Solve 0 = -m*i + 2*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqqnnnnnnn. What is prob of sequence nq?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23302 (base 8) in base 12?\nAnswer: -58aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 - (-5 - -1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, d: 8, x: 1}. Give prob of picking 2 d and 1 t.\nAnswer: 77\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 1540.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1926 divided by 3\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 99*d + 1221. Determine t(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {m: 1, s: 4, d: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:57 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*-3 - -6*(2 + sqrt(19))**2.\nAnswer: 21*sqrt(19) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3 + -4) + 4. Suppose -7*o + m + 17 = 0. Suppose 3*y - 2*y = 5*j + 19, -4*j + 20 = 0. Calculate the least common multiple of o and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -74539 - 208458. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - w - 45 = 4*w, t - 3*w - 3 = 0. Let i = -16 + t. Let f be (i\/4 + 0)*-3. Which is the closest to 0.5? (a) 0.2 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -787, -793, -809, -841, -895?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1731840?\nAnswer: -1731840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 49. Let l(d) = -d**3 + 7*d**2 - 2*d + 9. Let x be l(7). Let h = 0 - x. Solve -h*v = o - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + z + 21 - 9 = 0, -5*z = 3*w + 6. Suppose 0 = -4*n - u - 4*u + 36, -5*n - w*u = -58. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 5. Let t = x + -5.8. Let a = 0.02 + -0.12. What is the second smallest value in t, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/9)\/3)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 757584 and 216?\nAnswer: 2272752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 - -5.974.\nAnswer: -267.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 4 in ascending order.\nAnswer: -3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 8 = 4*h, -3*a + 4 - 2 = -h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011010101 - 1?\nAnswer: -1100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -117. Let l be (-7)\/u - 43\/30. Sort -0.1, 13, l, 4.\nAnswer: l, -0.1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/49 - 361680\/(-140).\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p + 43*p - 4*p**2 - 3*p**3 - 2*p**3.\nAnswer: -5*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 2 z when four letters picked without replacement from rszhuhozs?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 12 + -19 - 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11349 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-144)*-4)\/((-4)\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034327.\nAnswer: 7, 147761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0108 = -0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2 and 1*3 + 1160\/400?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2606 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2457 and 164892.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6274 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/54*3*-9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 997623553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, g: 1, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:03 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.64435 kilometers to centimeters.\nAnswer: 6464435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*z**2 + 503*z**2 - 68*z**2.\nAnswer: 543*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 12, -9, -3 in descending order.\nAnswer: 12, 3, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -10, 0 = 5*h + 3*x - 5*x + 5. What is the remainder when (((-404)\/h)\/4)\/((-1)\/(-3)) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.96 - -0.04. Let p = -4 + k. Let y = -0.2 - 0.8. Which is the nearest to -0.1? (a) y (b) p (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 233*l**6\/30 - 8*l**4 + l**2\/2 - 17*l + 2. What is the third derivative of m(f) wrt f?\nAnswer: 5592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -9, 530, -25, -4\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and 17202645454?\nAnswer: 17202645454.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 256 + 232 + 0*p + p - 333.\nAnswer: -2*p + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, 24 in decreasing order.\nAnswer: 24, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35672294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/10 + 8\/(-6). Let m = -0.0368 + -3.9632. What is the closest to 1 in -0.02, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24594 and -0.05.\nAnswer: 24593.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2 - 2*y + 4. Let m(g) = 24*g**2 + 9*g - 15. Let l(u) = -2*m(u) - 9*p(u). Find the first derivative of l(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 1610*b**2 - 648025*b.\nAnswer: -b*(b - 805)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4 + 1580*c**3 + 126390*c**2 + 248060*c + 123245 = 0. What is c?\nAnswer: -157, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 75*r - 33 + 66)*(99 - 99 - 4*r**2).\nAnswer: 300*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 23. Suppose -5*v + 17 = -q. Suppose 0*z - 60 = -v*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.945 - 0.055. What is the closest to -0.2 in -2, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = 2*n, 5*q + 25 - 5 = -5*n. Suppose -16*l + 15*l + 587 = q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**48\/i**13)\/(i**(-1\/35)\/(i*i*i**(-10)*i*i*i)) assuming i is positive.\nAnswer: i**(1051\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, v: 1, d: 3, s: 9}. Give prob of sequence sd.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 - 4*m - 6. Let d(s) = -4*s**2 + 4*s + 6. Let k(p) = -4*d(p) - 3*i(p). Let f(g) = -9*g**2 + 9*g + 13. Give -3*f(b) - 7*k(b).\nAnswer: -b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z - 1. Let g be w(-4). Suppose -f + 4*x = 2, 5*f + 67 = -0*f + x. Let s = f - g. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27290241 or 27290240?\nAnswer: 27290241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 100*s**3 - 335*s**2 + 230*s.\nAnswer: 5*s*(s - 2)*(s - 1)*(s + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4 - 63*d**3 + 958*d**2 + 1152*d - 2048 = 0?\nAnswer: -2, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 16)\/(-4) + 5*188. Let n be 42\/(-14)*(-1)\/((-6)\/(-4)). Let y(w) = -x*w**3 + 936*w**3 + w**2 - w**n + w**2 + 2*w + 1. Give y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 9*p**5\/50 + p**4\/4 - 4*p**3\/5 - 3*p**2. Factor q(y).\nAnswer: 6*(y + 1)*(9*y - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1908 + 1907.9999987664. Round f to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3895971 to the power of 1\/2, to the nearest integer?\nAnswer: 1974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -2\/9, 0.3.\nAnswer: -101, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 34338.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-73210)\/(-15))\/(203\/21 + -9).\nAnswer: 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.034864cm?\nAnswer: 10.34864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -134 + 121 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/18, -0.2, 0, -0.05 in descending order.\nAnswer: 7, 1\/18, 0, -0.05, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*u. Suppose 0 = -u*w + 13 - 1. Let f = 1 - 0. Solve -3*h = 3*q - 15, 4*q + f = w*h + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 954919 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3424225 + -31?\nAnswer: -3424300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 + -6 + 12) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6901495 is divided by 2150.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-6) - (15\/(-5) - 0). Let -2\/3*m + y*m**3 + 0*m**4 - 2\/3*m**5 + 0*m**2 + 0 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5 + 3315484*d**4 + 687025476864*d**3 - 687055316240*d**2 - 5496190553216*d + 8244345508608 = 0. What is d?\nAnswer: -414436, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (64\/(-12) - -4)*6\/4. Let u be 1 - ((-8)\/c + -8). Solve -2*b - m - 15 = 0, u*b + 6*m + 40 = 3*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.063, 6447?\nAnswer: 6447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229799866?\nAnswer: 2, 10139, 60647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7085*j - 639. Is f(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2172 and 32190126?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.272 in 163, -5, 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2545 + 2544.8. Sort -1, y, 17\/3, 11 in ascending order.\nAnswer: -1, y, 17\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41581.32 litres to millilitres.\nAnswer: 41581320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -6*a**5\/65 - 7*a**4\/13 - 40*a**3\/39 - 8*a**2\/13 + 18. Factor b(v).\nAnswer: -2*v*(v + 2)**2*(3*v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2 + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435807593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f - 54 = -2*j, 4 = -2*f. Suppose -10 = -2*p - 0*p. Let c(k) = k - 1. Let u be c(p). Solve -u*g - j = -2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169932, -339207, -508484, -677763, -847044?\nAnswer: -1016327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 49*n - 225. Let g be q(5). Solve -9*x + 14*x = g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 15. Let a(u) = -u + 20. Let h be a(0). Calculate the smallest common multiple of p and (-8)\/h - (-92)\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5 - 0) + 64*9\/(-45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -419249?\nAnswer: -419249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 1269 = -7201. Let c = 620 + i. Is c > 95\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 620 - 567. Let m = 18 + 24. Suppose 3*c - m = -0*c. Calculate the remainder when r is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15867619 is divided by 4009.\nAnswer: 4006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2153487 or -2153488?\nAnswer: -2153488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -193 - 203?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:56 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(720) + 2 - sqrt(720)))**2 - (1 + sqrt(720) + 3)**2.\nAnswer: -720 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(567)*1 + (3 + 2 + sqrt(567))**2 - ((-3*((sqrt(252) - (-3 + sqrt(252))) + sqrt(252)))**2 + -2).\nAnswer: -1757 - 225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z + 5*z + 53*z**3 - 35*z**3 - 34*z**3.\nAnswer: -16*z**3 + 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 10*h = 4*k + 18, 4*h - 27 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:01 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 147 - 25 = -z, -4*a = 0. What is the remainder when z is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10*o = -11*o - 2, -3*y - 5*o + 12 = 0. What is the nearest to 19 in -3, 8, y?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 3*k - 1\/18*k**4 - 1\/60*k**5 + 0 - 1\/18*k**3 + 0*k**2. Find i, given that w(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = 2*s + g, 6 = 3*g. Suppose 0 = -2*j + s*k - 19, 2*j + 4*k + 18 = -22. Let w = j - -20. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 3*k**2 + 6*k - 3. Let p be r(4). Put -5, -4, p in descending order.\nAnswer: p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1521 (base 8) to base 9.\nAnswer: -1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -107*n + 17. What is the remainder when d(-1) is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3540, -0.13, 0.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15827?\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37509721433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 334400110 - 5?\nAnswer: 334400101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11820 divided by 11820\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/34 and ((-20)\/(-2))\/(88\/38).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8860 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/30 + u**3\/2 + 3*u**2 + 14*u. Calculate the remainder when c(3) is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l + 39*l + 10464 = -223*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1 - 3 - -3). What is the units digit of (3 - d) + 4 + 410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.261 + 0.661. Which is bigger: a or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 718*l - 721*l = 25, l = -4*m - 35 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + q = 4175, 14*i - 12*i = -q + 1667. Suppose 6*x - 1016 = -i. What is the smallest common multiple of x and ((-4)\/10)\/((-1)\/45)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299 + -292. Suppose -4*o = -4*f + 52, -5*o + 12 = -o. Let b = f - z. Solve -b = -4*i + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + s - 13 + 8 = 0, -5*p - s - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 1759.\nAnswer: -13\/1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-21)*b*b)\/b**(-5)*(b*b*(b\/(b*b\/(b*b*b**13)))\/b*b)\/b**13 assuming b is positive.\nAnswer: b**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {i: 4, w: 15}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 - 20*z - 14. Give y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-1 + 2))\/5. Let q = 11\/16 + -3\/16. Which is the closest to 0? (a) 0.3 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/161 and 57\/644.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -15. Which is the smallest value? (a) n (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98\/101 + -1072\/1313. Which is the closest to 1\/3? (a) 0.02 (b) h (c) 4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 193, 453, 831, 1333, 1965?\nAnswer: 2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -10 + -13 + 8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163575214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27.35 and -12.\nAnswer: -39.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 4. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -89, -16 in descending order.\nAnswer: -1, -16, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 8*p + 364. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*-1*sqrt(88)*3)\/(((sqrt(800) - (sqrt(800) - (sqrt(800) + sqrt(800) + -1*sqrt(800)*-1))) + sqrt(800))*-2).\nAnswer: 27*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 927*s - 175 - 671 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 4 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -4*z. Let r(u) = 4*u - 1. Let c be r(z). Let o be (-74)\/(-14) - (-4)\/(-14). Solve c*j + 5 = i, -i - o*j + 0*j = 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwccctjcwct. Give prob of picking 1 c and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.4. Let z = -2 - -2.2. Let i = z + t. Round i to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(22) + 1*sqrt(22))*-5)\/(2*sqrt(44) - sqrt(44)))**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*l = 5*l + 3, 0 = -d - l + 5. Solve -r - 3*t = d, 2*r - 2 = -0*t - t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w = 155 - 118. Sort 3, 769, w in decreasing order.\nAnswer: 769, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8432, 16619, 24762, 32861?\n\"Answer: -22*d**2 + 8253*d + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178109507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1808 - -51?\nAnswer: -17b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1593810*c**2*m**3 + 225*c**2*m + 1219*c*m**2 wrt m?\nAnswer: -9562860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 220, 351, 488, 631?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022122 (base 3) in base 14?\nAnswer: -c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 277. Suppose -7*o + j = -74. Calculate the greatest common divisor of o and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1736 is divided by 174?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4121363470?\nAnswer: 2, 5, 7, 58876621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 2*y + 6. Let k be x(-6). Let z = -17 + k. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99552?\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 36860*j + 0 - 26630*j.\nAnswer: -63490*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14946 = 3*s + 3*v, 4*s + 3*v = 10006 + 9921. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 31?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*y - 980 = 138*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 126360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (1 - (3 + -2)). Let m be (-2)\/o*98\/116. Let s = m - 3\/29. Which is the nearest to 1? (a) 0.4 (b) s (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87868646 and 2452?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3))**(1\/9))**(1\/5) assuming j is positive.\nAnswer: j**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1100) - (3 + sqrt(1100) + sqrt(1100))*1 - (sqrt(1100)*-2*-3 - sqrt(1100)))**2 + 4).\nAnswer: 720*sqrt(11) + 79226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.4 + 14.3. Let k = 2134\/35 + -4646\/315. Let j = -46 + k. Which is the nearest to 2\/3? (a) 5 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -159.0997.\nAnswer: 164.0997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/12 - 3*o**3\/2 - 7*o**2. What is t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111371 (base 8) to base 16.\nAnswer: -92f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14424.3 * -0.2\nAnswer: -2884.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 10) to base 15.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1204\/(-129))\/(4\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45131?\nAnswer: 45131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -35*c**2 - c. Let u be q(1). Let n = 12 + -18. Let d be 4400000\/n*u\/8. Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1574 greater than -1574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(56)*-1*-1)\/(sqrt(200)*-2 + sqrt(8))*-2.\nAnswer: 2*sqrt(7)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (15 - 28 - -16)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a4c (base 13) in base 15?\nAnswer: -ae06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 127.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*b - 8 = 0, 0 = 40*t - 18*b - 16*b + 32*b + 80 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {e: 3, g: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5010 = 3*r, 3*r - n - n + 5001 = 0. Let p be 2\/((-10)\/r*3). Is 21 a factor of p - 2*1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26925816 divided by -6731454.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 65 + 10. Let k be -5*(-6)\/75*y. Solve -5*x + j = -k, 0 = -2*x - x - 4*j - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(7))**2 - ((sqrt(175)*-4)**2 + sqrt(7) + sqrt(7) + sqrt(7)) - (1*sqrt(1008))\/((sqrt(4) + sqrt(8)\/sqrt(2))*2).\nAnswer: -2821 - 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088506 is divided by 14322?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1. Let h(l) = 2*l + 4. Suppose 3*b + 27 = 6*b. Suppose k = 5 - 2, -2*k + b = 3*x. Determine x*h(i) + 4*u(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**2 + 54*w - 8*w**2 - 91 + 586 - 3*w**2 - w**2. Give c(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786669 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 2 - ((-6)\/(-8) + 68234\/(-7848)) and 38\/2043.\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8054.861 millennia to years.\nAnswer: 8054861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 28 - 7. Solve 5*v - 3*d = -12, -v = -2*v - 4*d - j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7455.\nAnswer: 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12871520\/769 - -16738. Which is the closest to 0.1? (a) 0.1 (b) j (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14544925651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 5*b**2 + 5*b**2 + 4*b. Let x(l) = 3*l. Let r(j) = -j**3 + 46*j**2 + 51*j - 191. Let a be r(47). Determine a*w(i) + 4*x(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 8*r**2 + 16*r - 14. Determine i(-8).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 + 9*y + 9. Let s be n(9). Let u = 4972 + s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.11789 - -17.37941. Let x = j + -18.5. Round x to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*l**2 - 347*l - 48*l + 8*l**2 - l**2 + l**3 - 2*l**2 to r + n*l**3 + q*l + o*l**2 and give q.\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1963214 and 15259527.\nAnswer: 335709594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w. Let d(y) be the third derivative of -y**5\/120 - y**3\/3 + 4*y**2. Let g(t) be the first derivative of d(t). Calculate u(g(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 24. Let m be b(-14). Suppose -m = -2*x - 3*x. Suppose x*s - 7*s = -260. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.1525 microseconds in nanoseconds?\nAnswer: 746152.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1)\/k)\/k)**(-10\/3)*(k*k**(-14\/5))\/((k\/(k*k**(-18)*k))\/k) assuming k is positive.\nAnswer: k**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-121 - -103) + 3 + -2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1427*k**5 + k**3 + 8*k**2 - 284637*k.\nAnswer: 28540*k**3 + 6*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33023212 (base 4) to base 16\nAnswer: -f2e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9752382857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 941 - 1506. Let k = -980 - 82. Let u = j - k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**(-2\/9)\/(j*j**(-1\/5)*(j*j\/((j\/(j\/(j**(-1\/8)\/j)))\/j*j*j*j))\/j) assuming j is positive.\nAnswer: j**(-353\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -18 - 29 - (2 + 38 + 1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -38, -1, -51, 2911?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -2\/673, -0.2, 957?\nAnswer: 957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341582107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3732 + 3731. What is the fourth biggest value in -12, r, -4, 0.2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -4. Find the first derivative of -3 + 6*h**3 - 4*h**3 - z wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3)\/(-17 + 18). Let n(r) = -1179*r**3 + 3*r**2 - 9*r - 8. List the prime factors of n(y).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*w = 233*w + 2485. Let m = 537 + w. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42*-76179.4\nAnswer: 31995.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u. Suppose b + 0*b - 20 = u. Suppose -5*j + 30 = f, -2*j + 86 = 4*f + j. What is the least common multiple of f and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (6 + -5 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/(-910))\/((-2)\/(-448)*52).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(7 + 3*o - 7) - 14 - 12 + 24 + 2*o + 15*o + 6*o - 6*o - 2*o + 2*o + 3*o.\nAnswer: 23*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/6 - -13)*-15 - 62\/(-31)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.4 * -4959.64.\nAnswer: -51580.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1095, -1109, -1123?\n\"Answer: -14*f - 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n + 0 - 3\/64*n**4 + 1\/160*n**5 + 16*n**2 - 1\/4*n**3. Suppose r(q) = 0. Calculate q.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-3 - (-6 - -7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -8.4?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 128. Suppose n - 74 = -3*o, 0 = -4*n + 8*n + 3*o - 251. Let v = n - t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313188456 divided by -1.\nAnswer: -313188456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.943 - 0.153. Let m = -5.79 + d. What is the nearest to m in -2, 0.1, 26.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 31279*p. Let g(b) = -3*b + 303. Determine d(g(r)).\nAnswer: -93837*r + 9477537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435 (base 6) in base 9?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 10*d**2 + 16*d**2 - 9*d**2.\nAnswer: -3*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 1 g when three letters picked without replacement from yqqqggbbqqqqnqqqgq.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13799 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1868704.3\nAnswer: -186870.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20661457961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18905511\/437 - 43262. Calculate the common denominator of -87\/38 and g.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6 and 288\/(-3744) - 17193\/(-169260).\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 29*d**2 - 4*d + 86. Calculate f(29).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, 1 e, and 1 r when four letters picked without replacement from {e: 1, u: 2, r: 1, n: 1, z: 2, a: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -4.3. Let u = -0.327 - -0.027. Sort a, u, 0.3 in decreasing order.\nAnswer: 0.3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4117.\nAnswer: -4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -42. Let s(n) = n. Let z(d) = -7*d. Calculate f*s(g) - z(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -680 + 679.99999294. What is x rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 4*n**2 + 3*n - 6. Let s be b(4). Solve 18*r - 16*r - s = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158574.\nAnswer: 2, 3, 13, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710 divided by 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(99\/45)\/(-11)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04592 + 0.15408. What is the biggest value in f, -0.102, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 31*w + 96. Calculate the remainder when 83 is divided by (-11)\/((-2)\/w + (-6)\/8).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*q**2 + 19*q**2 + 533*q**2.\nAnswer: 662*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -62538)\/(216\/(-57)). Let n = 16502 + f. Find the common denominator of n and (12540\/(-288))\/5 + 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 320138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1840532 and -2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 176*w + 162*w + 103*w)*(-3*w + 3*w + 3*w).\nAnswer: 1311*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:01 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-8))\/9*(19968\/(-60))\/(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 30 = -n - n - 3*v, 0 = -5*n + 22504*v - 22501*v - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416 + 460. Suppose -23*b = -25 - w. Solve 0 = -7*h - 11 - b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1485149*w + 1485113*w - 1440 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -73706754 - 6*t + 73706754. Let f(y) be the second derivative of 4*y**3\/3 - 2*y. Calculate f(r(p)).\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 - -106. Let p = 29 - v. Which is the closest to -2? (a) p (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/951 (b) -4\/11 (c) -0.3 (d) 192\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*c**3\/2 + 58*c**2\/3 + 61*c\/6 + 1\/3.\nAnswer: (c + 1)**2*(57*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 184081*f + 62. Let c be l(-15). Let n = 4225143 + c. Suppose 6*r - 488008 = 5*r + 4*u, 0 = 3*r + 5*u - n. Round r to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -44. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -91*s + 172*s - 5*s**3 - 23*s**3 + 67. Differentiate r(l) wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -1) + 1 + 8. Is (-1425)\/(-9) - (-4)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 202\/4 + (-2)\/4. Let g = 85 - l. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and (-2150)\/3216 + 126\/189.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/33)\/(-10*6\/36)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -69. What is the second derivative of -3*l**o - 199*l - 2*l**4 + 6*l**5 + 160*l wrt l?\nAnswer: 120*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 309712079 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 19406373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 4.4 (c) 20 (d) -4\/7 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*w - 50 - 76 = 63 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 23*f**2 + 11*f + 14. Let s be a(12). Find x such that -4\/3*x**5 + 0 - 10\/3*x**s - 14\/3*x**4 - 2\/3*x - 6*x**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 8?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*h**3*r - 8281*h**2*r**2 + 5712*r**2 + 23*r + 1 wrt h.\nAnswer: 27*h**2*r - 16562*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16250 + -16245. Solve u + 10*p = 12*p - 10, x*u - p + 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150.6197 and -17.\nAnswer: 2560.5349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7768375 take away -0.82?\nAnswer: -7768374.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/160)\/(33\/(-264)))\/((-92)\/10)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*-4*sqrt(1900))**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than 2722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnnxnnoxxxnoonxn. Give prob of picking 1 x and 1 o.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 1408?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 121660 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 319 - 59*m**2 + 33*m**2 + 25*m**2.\nAnswer: -m**2 + 6*m + 319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**5 - y**5 + 4*y**5 + (5*y**4 - 3*y**4 - 4*y**4)*(2*y + y - 5*y))*((-7 + 2 + 3)*(2 + 1 - 2) + 50 + 44 - 116).\nAnswer: -72*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-9\/4)*w*w*w**(1\/5)*w**(-2\/51)\/w**(-3\/7) assuming w is positive.\nAnswer: w**(9563\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 32. What is the highest common factor of r and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 72 + 144*k + 10\/3*k**3 + 42*k**2 = 0.\nAnswer: -6, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = -14. Let a be 12\/(2 + y) + -3. Sort 2\/5, -9, a.\nAnswer: -9, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65*300\/5200*72\/(-10)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80167150 is divided by 923?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -3. Which is the biggest value? (a) 2 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 2031?\nAnswer: 20310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*i**2*y - 70*i**2 - 2*i*y**2 - 908*i*y + 2*i - 3 wrt y?\nAnswer: -85*i**2 - 4*i*y - 908*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*b - 27*b**2 + b**2 - 18 - 3*b**3 + 8*b**2 = 0. What is b?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0.200964371803.\nAnswer: -4.200964371803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(1\/6))\/v)*v**(2\/15))**(-39) assuming v is positive.\nAnswer: v**(-377\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 y when three letters picked without replacement from baabaayay?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14496595 and 9145?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15 + 66\/10. Factor 2*d**5 + x*d**3 - 5*d**4 - 3*d**3 + 11*d**4.\nAnswer: 2*d**3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8561665.\nAnswer: 5, 7, 244619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 50*c**2 + 66*c - 57. What are the prime factors of t(49)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 9*c - 62. Calculate p(10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v - 9. Let k = 9 + -6. Suppose -3*b - b + q - 15 = 0, -k*q = -4*b - 5. What is the tens digit of a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 42 - 30. Suppose 8 = u*c - 5*c. Suppose 49*q + 20 = 44*q. What is the closest to q in -1\/4, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*i = -5*i + 231, -263 = -4*c - 5*i. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 3*f - 7*f. Let u(s) be the second derivative of -s**4\/12 + 2*s + 36. Determine u(l(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0)\/(4\/(-10)). Let i = b - -17. Suppose -6*g = -8*g + i. Solve 3*d + 0*z = z - 17, -3*z + g = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3\/3 - 6*y**2 - 9*y - 7. Let w be s(13). Let g be (w + -4)\/(0 - 2). Solve 4*r = g, 2*r + 0*r + 2 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2321?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.8312553 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p. Let x = p + 3. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**3 - 5*v**2 - 13. Determine j(-4).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.8. Let n = -20.88 + 20.78. Which is the nearest to n? (a) 5 (b) 3\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 136604817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2842 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.186 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1119\/(-14920)*12\/(-3)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-5\/4)\/y))\/y*y)\/y)**(3\/8)*(y**(2\/9))**(-19) assuming y is positive.\nAnswer: y**(-973\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88a + 1194?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21.502 or -662?\nAnswer: -21.502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)\/(-4 - 0). Suppose 4*g - v + m*v - 8 = 0, -3*v + 18 = 2*g. Solve -4*t - g = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 54 = -6*w. Suppose -4*y + 11 = -2*v - w, 0 = -y + v + 10. Factor -9*o**2 - 12*o**4 + y*o**4 + 3*o + o**3 + 8*o**3.\nAnswer: -3*o*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 7*a - 13. Let r be u(-9). Suppose 4*b + 54 = 5*g, 3*g - r*g - 4*b = -16. Let m be (-1 + 3\/2)*g. Sort 1, m, -0.5.\nAnswer: -0.5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m + 138. Let h = m - -77. Suppose 4*j - 2*d = 50, -d + 3*d - 49 = -5*j. Calculate the remainder when h is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622916 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from fcqccqfc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:44 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 6:35 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (17 + 0 + -26).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 353?\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/105 - 103\/315. Let o be 55177\/644*(-6)\/(-135). Let r = h + o. Find the common denominator of -63\/2 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -121?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = 5*n. Let f be 0\/(n + 0\/1). Solve 2*x - 10 = -f*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -1)\/(2\/1) - -2491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/11121 and -25\/921.\nAnswer: 3414147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*t*z + 5*k*z**2 - 12857*t**3*z**3 - 2*t**3*z - 164227*t**2*z wrt z?\nAnswer: 10*k - 77142*t**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/3)*j)**(-42)\/(j\/(j*j**(-1\/4)*j))**9)\/((j**1)**(-2\/23)*j**(1\/2)*j**(4\/11)) assuming j is positive.\nAnswer: j**(-107299\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4731? (a) -1\/5 (b) 4\/3 (c) -2\/5 (d) -3\/7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let v be t(4). Let q be (10\/35)\/((-2)\/(-14)). Suppose -11 = -3*a - q. Solve -a*f - 3*n + 6*n + 15 = 0, -5*f - 4*n = v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7177 and 399.\nAnswer: 2863623","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 41\/171 - -9775\/2736. Find the common denominator of y and 71\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94\/3, 3, 13 in descending order.\nAnswer: 13, 3, -94\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let n be 3\/((3\/1)\/(9\/3)). Let i(s) = 16*s + n*s - 8*s**2 - 19*s. Calculate v(i(y)).\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982200 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.0727ug in kilograms?\nAnswer: 0.0000002780727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150153456.\nAnswer: 2, 3, 3128197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -823ac0b - -2?\nAnswer: -823ac09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 42 = 2*r, 0 = -2*r - m + 5*m + 24. Suppose 9 = -r*u + 19*u. Solve 5 = -2*h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + 0 + (sqrt(13)*-2 - sqrt(13)) + -4 + -4)*-6)**2.\nAnswer: 2808*sqrt(13) + 10292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.95*-453.\nAnswer: 430.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(125))*5*-6)**2.\nAnswer: 18000*sqrt(5) + 116100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 246 - 236. Is ((-93)\/6)\/(s\/(-740)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 11. Let a(q) = q**2 - 8*q + 5. Let g be a(y). Let j be (g\/3)\/(3\/(-18)). Solve -2*t + 0*t - 4*l = 16, t + j*l + 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 25 = 0, 5*d = -5*h + 81 - 96 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.9 rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 5) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 15*q**2 + 17*q**2 + 2*q**3 + 5*q - q**3 + q**4 in the form t*q**3 + s*q**4 + g*q**2 + l*q + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 156566.53 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 94*y + 42 = 91*y, 0 = 2*v + y - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 47*d**2 + 3*d. Let b(s) = 20*s + 6. Let x(y) = 17*y + 5. Let h(k) = 5*b(k) - 6*x(k). What is h(o(z))?\nAnswer: -94*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 3:40 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*k, 14 + 9 = -2*m - 3*k. Which is greater: m or 152\/221?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 + 139*j - 18. Let i be r(-20). Solve s - 5 = i*f, 2*s - s = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5001 + 5003. What is the closest to 0 in -28, -0.2, -1\/3, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoauacaouaaa. What is prob of picking 1 u and 2 o?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**2 + 3*l + 49. Give c(-4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -455 divided by 455\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 13*p - w - 82, p = 4*w + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86.9 - 88.9. What is the nearest to -1\/3 in -1.4, 0.4, f, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2. Let s(y) = -y**2 - 8*y + 30. Let z be s(-13). Let a be (z\/(-14) + -4)*-2. What is the highest common divisor of f and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-27)*1\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60496 by -1.\nAnswer: -60496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 210.21, 2\/7, -3, -2\/119 in decreasing order.\nAnswer: 210.21, 2\/7, -2\/119, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**1)**(9\/11)\/((a\/a**(-10))\/(a*a\/(a*a\/(a**(-2\/17)*a)))))**1 assuming a is positive.\nAnswer: a**(-1739\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 451096 and 44910?\nAnswer: 20299320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 plus 0.231?\nAnswer: 5.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210 + 211. Let d(h) = -13*h**2 + 2*h - 1. Determine d(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 5*b - 3. Let o be g(2). Let t be (o\/27)\/(2\/30). Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2774 = 251*u + 740 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -349 - -501. Suppose -154*u = -f*u - 70. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*k - 62. Let u = 48 + k. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 42854006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 154223 (base 6) to base 15\nAnswer: 478c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370.91 rounded to the nearest 10?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6914220 and -7\/13828440?\nAnswer: 13828440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -40\/3*b**3 + 55\/2*b**2 - 5\/4*b**4 + 90*b + 79. Solve d(a) = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*q + 114*q = 0. Solve q = -l + 4*h - 0*h + 12, 2*l - h = 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 13*g = 14*g + 3, 0 = -4*o + 2*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 + 8138*g**2 + 1503800*g - 3040136 = 0. What is g?\nAnswer: -179, 2, 4246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 373283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1414, 2827, 4248, 5683, 7138, 8619, 10132?\nAnswer: 11683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -2*v**3\/3 + 8*v**2 - 6*v. Does 7 divide i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 5*4\/50 + (-174)\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 37, 122, 251, 430, 665?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.2 - -40. Let q = -1027.996 + 1028. Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - x + 3)*(5779 - 59*x - 5779)*(0 + 1 + 0) to the form h*x**2 + z + s*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63132 by -14.\nAnswer: 31566\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 0.06, -2857 in decreasing order.\nAnswer: 0.06, -0.2, -2, -2857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 2*r, 5*r = -q + 21. Suppose 163 - 48 = 5*d. What is the remainder when d is divided by q - (0*1\/(-2))\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6 + 17\/(-102). Suppose s = -6*f + 33 - 15. Suppose -4*m + g + f*g = -256, -54 = -m - g. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49455.38nm in kilometers?\nAnswer: 0.00000004945538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 3*x**8\/80 + 13*x**7\/350 - 3*x**6\/50 - x**5\/25 - 2*x**2 - 2. Let w(i) be the second derivative of q(i). Solve w(v) = 0.\nAnswer: -1, -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -9\/43, 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5 + 7. Solve l*v - 15 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.99 - -0.19. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56432?\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 0*v**4 + 0*v**4 - 3*v**4 - v**3 + v**3 + (-2*v**3 + 5*v**3 - 5*v**3)*(-3*v + 2*v + 3*v) + (-4*v**3 - 2*v**3 + 4*v**3)*(6*v - 10*v - 3*v).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*b + 173508 = 4*x, 5*x - 289202 = -b. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -582 - -656. Suppose 0 = 6*g - 3*g. Suppose g = -d*r + 76*r. Solve r = -0*o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.33 + 0.66. What is a rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21) + -3*44\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 26*i**2 - 63*i**2 - 2 - 43*i**2.\nAnswer: -80*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77, 69, 509, 1405, 2919?\n\"Answer: 27*m**3 - 15*m**2 + 2*m - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10222679?\nAnswer: 79, 129401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 756.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 1.3, 0, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, k: 1, o: 3, h: 2}. What is prob of picking 2 z and 2 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:17 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12 + -12)\/(1 - -1) - -2. Suppose -3*l + q*l = -63. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2621157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0 - 2 - 15*a - 3. Calculate the remainder when d(-4) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-6)\/(-120))\/(3\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/(2 - (-21)\/(-9)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)\/(-11*(-32)\/528). Let y = -4 - -2. Sort 2, 0, y, l.\nAnswer: y, 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2046 - 2046.3. What is the nearest to 2\/7 in 4, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-2 + (-144)\/(-63))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 3*r**3 + r**3 + (-1 + 2*r + 1)*(1 - 5 + 2)*(-2*r + 0*r + 31565*r**2 - 31347*r**2).\nAnswer: -871*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 542, 538, 532?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2567*y + 198 = 1325*y + 1312*y + 548 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26\/189 - -7187\/4158. Let n = -1177\/19 - -27281\/418. What is the common denominator of v and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from cccgggcghhcgooggcggg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1408 + 5367783.\nAnswer: 5366375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, x: 4, m: 7}. What is prob of sequence xooo?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/37 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/77 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:27 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(224\/42)*4\/(-21)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -4bb6a?\nAnswer: -4bb59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 1:59 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 86 - 25 + 12350*a - 30.\nAnswer: 12350*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35448 and -0.18?\nAnswer: -6380.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a year in months?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280037010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-502*k + 196*k**2 + 502*k)*(-2 + 2*k - 4*k + 4)*(-2*k + 3*k - 3*k)*(-4 - 2*k + 4).\nAnswer: -1568*k**5 + 1568*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 68. Is l(17) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m + 5. Let o(v) = -3*v + 4. Let i(l) = 2*l**2 - 10*l + 5. Let r be i(5). Calculate r*n(z) - 6*o(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 15*n**2 - 10. Let c be h(15). Let u be (-4)\/c - 6\/15. Is u less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*h + 1835 - 280 = 0, -5*h = l - 395. Calculate the greatest common divisor of l and 2210.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*430\/(-2451)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 1.8, 0.5, -39 in decreasing order.\nAnswer: 5, 1.8, 0.5, 0.2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2 - 3 + 10 - 8. Suppose 6*q - 2*q = 16. Suppose 0 = -q*s + 6*s - 8. Let y(u) = u**2 + 1. What is s*n(b) - 4*y(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/6)\/((-6)\/(-24)). Let w(y) = 5*y - 8. Let b(k) = -4*k + 7. Suppose c + 5 = -0*c. Calculate c*w(o) + t*b(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 7\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32875603715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4943 - -7622. Let b = o - 1465. List the prime factors of b.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 5645861?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001324 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 times 9?\nAnswer: 7.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - 221?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/6 + 391\/186. What is the nearest to 0.1 in b, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25145291 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-45) - 4\/(-5). Let p = 3 - 4. Put 4, p, g in descending order.\nAnswer: 4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c8be + -10?\nAnswer: -1c8ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 5 (c) -1\/17312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 - 4*l**3 + 6*l + 7*l**2 + 2*l**3 + 0*l**3. Let o be v(-6). Suppose o = 3*i, 4*i - 27 - 5 = -4*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(4\/(-4)) + 158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 - 1344\/(-98). Suppose 0*i = 2*i - q. Let j(a) = -13 - a**3 - 8 + i. What is j(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 331*o - 71. Give c(2).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)\/((c**(-6\/7)\/c)\/c*c)*(c**4)**31 assuming c is positive.\nAnswer: c**(888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -o, b - 2*o + 2 = -3. Let c be ((-1)\/(-1))\/(b\/(-9)). Let p = 7 + c. Calculate the smallest common multiple of 5 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 2*f. Let i be m(-4). Let q = -149 - i. What is q rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o + 1449722. Let a = -484110 + o. Let w = -96751 + a. What is w rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3506 times -5?\nAnswer: -1.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 42222*m**2 + 7*m - 19. Let z be p(3). What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = -28*b + 43. Solve 0*y + 2*a = -2*y - 6, 0 = 2*y - 3*a - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130 (base 8) to base 4.\nAnswer: 121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -27*d - 117 - 160 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.334 + 973.334. Let d = w - 973.0000693. What is d rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3310.5 and 112?\nAnswer: 3422.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905340.\nAnswer: 2, 3, 5, 65089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 + (-387)\/45)\/(2\/(-20)). Which is the biggest value? (a) 3 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232034533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-20) - 2\/5. Let n = 0 - p. What is the second derivative of -x + 1 - n*x**2 - 1 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atq when three letters picked without replacement from fqcaqsttstatt?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**7\/6 - t**3 - 3*t. What is the second derivative of z(o) wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-262)\/38 - (-11)\/((-1254)\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2437*r**3 - 15*r**2 - 126*r - 13. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from gggl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/4)\/(-2))\/((-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*p + 151*p = -128*p + 540. Solve -42*b + p*b = -84 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24249 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -12222?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 36432?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4240 and 157\/3180?\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let r(h) = -h**2 + 24*h + 51. Let b be r(26). Let i(z) = -8*z**2 - 6. What is b*i(o) + 6*q(o)?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 9*m**2 + 3*m + 9. Let p be x(-9). Let u be (-1632)\/p - 2 - (-2)\/(-3). Let c = -79 + u. What is the remainder when 53 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 6:43 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/168*-2)\/(6\/(-243)*9).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqysqssqpqsqqqsyqus. Give prob of sequence qs.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23264 is divided by 439.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77000 and 256200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 197.18 and 1.\nAnswer: 198.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 10, i: 2}. Give prob of picking 3 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325149703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20002211122 (base 3) to base 5\nAnswer: -12321132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 - 5*h**2 + 19*h**3 + 20*h**2.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 896 = 10*n. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 29. Suppose k = a + a + 3*o - 51, o - 24 = -a. Suppose 7*c + 0*c = a. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1003 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2527668.01845 + 2527462. Let w = -206 - z. Round w to 4 decimal places.\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.175 * -5.\nAnswer: 0.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6137 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*4420\/(-585).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(0 + 1) - 4. Suppose 0 = 2*f - 2 - 2. Let m(t) = -7*t + t + 1 + 0*t**2 + f*t + t**2. Determine m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) - (0 - 2). Suppose 12 = 4*t + 4. Suppose -c = -t*v - 0. What is the greatest common factor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 539651443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82.1 - -8.1. Let z = -77 - t. Which is the third biggest value? (a) z (b) -25 (c) 0 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/(20\/(-60)). Is (-2 + d)*1 - 76670\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 16267*q**3 + q**2 + 6*q**2 - 160562*q**3.\nAnswer: -144295*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, -38, -5, 7, -1, 0 in descending order.\nAnswer: 11, 7, 3, 0, -1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 443 - 8. Is k a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12038, 12933, 14420, 16493, 19146?\nAnswer: 22373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 - 286 = 3*f - 3*x, -f - 20 = -4*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 8*n - 5*n - 3*f, -12*n - 4*f - 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 2*y**2 - 4 - y**3 + 2 + 4 to d*y**3 + s*y + p + r*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/20 + h**4 - 5*h**3\/3 + 21*h**2\/2 - 5*h - 32. Calculate v(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1374.17425 to the nearest ten.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 392 + -376 - (-4 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*p - 67*p - 50*p)*(2 + 4*p - p - 2*p) - 3*p**2 + 12 - 12.\nAnswer: -72*p**2 - 138*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -o - 56, -4*o - 9 = -y + 6. Suppose -4*f = -3*m - 2 - 4, 3*f - y = -m. Differentiate 3 - 5 + 0 - 2*w**m with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k - 7. Let b = k - -19. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:15 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3583111.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89588 + 89588 + 297*n)*(6 + 6 - 5).\nAnswer: 2079*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -5, -0.1, -3\/7, 3, -183?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1784, 1815, 1846?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72914, 145822, 218730, 291638?\nAnswer: 364546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 * 5403.01.\nAnswer: 4106.2876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 8 = 7*j. Suppose 4*u + 30 = -j. Do u and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 36 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 6. Let w be u(-4). Let x = 3 - -2. Let v be 44\/10 - 2\/x. Solve -2*q = -3*b - 0 - 3, w*b = -v*q - 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 26, -126, -348, -646, -1026, -1494, -2056?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 493512*d + 15222130884.\nAnswer: 4*(d + 61689)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 + 157. Let g be (d + -2 + -3)\/(-3). Which is smaller: g or -49\/4?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -75, 580, 1.28, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -30 - 6. Let o(a) = 2*a**2 + 9*a + 1 - 16*a + m*a. Calculate o(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((12\/(-10))\/((-2064)\/2580)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgrqurrqgrww. What is prob of sequence wru?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - 24*d + 1. Let j(o) = -3*o**2 + 2*o - 1. Let h(c) = -b(c) - 4*j(c). Determine h(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12460585*j**3 + j**2 - 1660523*j + 3?\nAnswer: -74763510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02042 (b) -3\/65 (c) -0.041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 256\/303?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:15 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155359.93 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -77 + d**2 - 7*d - 81 + 229 - 81. Let n = 25 + -17. Give f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**(-35)\/(r*((r*r*(r**(-6)*r)\/r*r)\/r*r)\/r*r**3))**(-3\/2) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15556 rounded to the nearest one hundred?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(3\/5)*w*w)**(-21\/8)\/((w*(w\/(w*w*w\/w**(-33\/2)))\/w)\/w**9) assuming w is positive.\nAnswer: w**(617\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/53382 and -37\/108?\nAnswer: 960876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.809 times 4?\nAnswer: -23.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 48. Suppose 0 = 5*u - u - y. Suppose u*i + 26 = 156. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227 and 57303426.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32526 = 186*m + 648*m for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v - 4. Let l be q(-4). Let d(t) = 6*t - 2. Determine d(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18*p + 242. Let z be f(12). Solve h = -3*m - 11, 2*m - 6*h + 2*h + z = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/44 and -121\/2280.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 8*m + 2. Give z(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-5684)*-29)\/((-28)\/32)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*h + h - 58 = 0, -3*h + 102 = 5*p. Let t be (-2)\/(-9) + 2390\/p. What is the greatest common factor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 76 = 4*q, -3*s + 1575 - 1627 = -28*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -350*k**2 - 5594*k + 88. Calculate f(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = -4*b, 0 = -3*n - 2*b + 6*b - 1. Sort -0.4, 2, n in increasing order.\nAnswer: -0.4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 + 18*y**2 - 6*y**2 + 6082496*y**3.\nAnswer: 6082496*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/16? (a) -0.8 (b) 4 (c) 0.5 (d) -3.75 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/60 - 11*v**2. Let r(z) = -z**2. Calculate r(n(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*m = -6*a - 0*m - 15, 4*a - 3*m + 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.259, -4, 33\/8?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -2*d**6\/3 - 12*d**5\/5 + 5*d**4 + 4*d**3 - 8*d**2 - 6018. Suppose b(a) = 0. Calculate a.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znz when three letters picked without replacement from {n: 2, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/15 and 92\/23174775?\nAnswer: 23174775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2)*p))**(-12\/11)*(p**0)**(7\/2) assuming p is positive.\nAnswer: p**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 - 15*x**2 + 15*x + 15. Let d(a) be the second derivative of a**5\/20 - a**4\/12 + a**3\/6 + a**2\/2 + 39*a. Give -15*d(v) + u(v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 179 = -b, u + 2*b - 44 = 43. Let z(v) = u - v**3 - 97 - v**2 + 2*v**2. Determine z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14418 is divided by 437?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/245 + (-145488)\/(-735) is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1)*1\/(-2). Solve m = 2 - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -8\/3*f**2 + 29\/54*f**4 - 29\/45*f**5 + 0 + 64*f + 58\/27*f**3 - 1\/27*f**6. Solve t(r) = 0.\nAnswer: -12, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 12. Let o be -15*(-4)\/((-160)\/(-24)). Calculate d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w**3 + 8*w**2 - 17*w - 26. Let l(i) = 46*i**3 + 24*i**2 - 52*i - 80. Let c(t) = 3*l(t) - 10*z(t). Determine k, given that c(k) = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3 - 4*b + 2*b)*(2*b + 2*b - 5*b - 47*b**2)*(-b**2 - b + b + (-2 + 3 - 3)*(0*b**2 - b**2 - b**2)).\nAnswer: 141*b**5 + 426*b**4 + 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = -20. Suppose -k*z + 307 = -3*g, 2*g - 322 = -3*z - z. Suppose -5*t = z - 429. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + j - j - 3*j**2 + 62.\nAnswer: -3*j**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**(6\/5)\/(k*k**(-1\/6)*k*k**(2\/5)))**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/420 + 3*w**5\/35 - 65*w**4\/84 - 2*w**2 - 72*w. Suppose d(j) = 0. Calculate j.\nAnswer: 0, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355644 by 88911.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:24 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056395122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 31*i**2 - i - 2. Let b be p(-1). Let j = -138 - -213. What is the highest common divisor of j and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3130 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(153) - sqrt(153)*-1)*1)\/sqrt(9) - (1 + sqrt(34)\/sqrt(2) + sqrt(17) + sqrt(306)\/sqrt(2)))**2*-4.\nAnswer: 120*sqrt(17) + 3080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5222600 (base 7) to base 9.\nAnswer: -1155858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/12 - 4*o**3\/3 - 2*o**2 - 4*o. Let a be r(-8). Let z = a - -14. Calculate the lowest common multiple of 1 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108126613*v - 115991898?\nAnswer: 108126613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, -90709, 7, 3 in decreasing order.\nAnswer: 7, 3, 0, -19, -90709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5\/2*g + 0 + 5\/4*g**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28b3446 - -1?\nAnswer: -28b3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53267983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 - 5*j + 6. Let k be n(0). Let r(s) = -7*s - 3. Let q(g) = 13*g + 5. What is k*q(p) + 11*r(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 43. Let z be (k - 1) + (-1 - -174). Calculate the greatest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104)*3)\/sqrt(2) - ((sqrt(156)*-2)\/sqrt(12) + sqrt(13) + 2 + sqrt(1300))) + 2)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3818 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: b\"What is the vth term of -23, -58, -91, -122?\n\"Answer: v**2 - 38*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*x + 2453 = 0, 12*x = 10*x - 2. Let n(f) = -614*f**2 - 43*f - 42. Let j be n(-1). Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1863\/207*2*(-1)\/(-16).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Let n(m) = -2*m**2 - m**2 + 0*m**2 + m**2. What is o(n(g))?\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 4, -1, -3 in decreasing order.\nAnswer: 58, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 1268*o**2 + 81296*o + 157552.\nAnswer: 4*(o + 2)*(o + 86)*(o + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 + 227. Let x be 10\/(-4)*(0 + -4). Solve 4*w + w + 10 = -f, 0 = -t*f + x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/120 - r**4\/6 - 3*r**2 + 85. Let j = -3 - -6. Let i(s) = -s**3 - 3*s. Determine j*u(g) - 4*i(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4086\/24 + 1\/8*6. Calculate the highest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/12*((-96)\/18)\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1. Let v(l) = -l + 2 - 1 - 3. Suppose s = 3*y + 14, -y + 2*s = -3*y + 4. Give y*k(u) - 2*v(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25529116 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 - 13*o**2 - 4*o - 6. Let j(t) = 11*t**3 - 27*t**2 - 9*t - 13. What is -4*j(w) + 9*r(w)?\nAnswer: w**3 - 9*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5 - 12*x**4 + 16*x**2.\nAnswer: -4*x**2*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let y(t) = -19*t. Let j(a) = -29*a. Let b(s) = 5*j(s) - 8*y(s). Give b(p(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 13, l: 3}. What is prob of sequence lat?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 - 11*p**2 - 990*p - 391*p.\nAnswer: 2*p**2 - 1381*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(1*4\/(-4)). Let u = -1 - -1. Suppose u = 2*v - 3*v + 6. Solve -t*b + 9 = 4*k, 0 = 3*b - 3*k - v - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, -4, 3 in descending order.\nAnswer: 14, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 3 (b) -4 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - 60\/(-36). Suppose u*t = -3*t - 10. What are the prime factors of (-9 - t\/1)*(-5 - 4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 2, l: 1, j: 4, t: 1}. Give prob of sequence wjlk.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747732.\nAnswer: 2, 3, 62311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmvgvtdb. What is prob of picking 1 t, 1 v, and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 + -0.12.\nAnswer: 339.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + v + 128 = 0. Suppose -3*k = -6*k + 3*d + 27, 4*k - 48 = -2*d. Calculate the remainder when v is divided by (-1 + k)*(-3)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**5\/20 + 5*l**4\/4 + 25*l**3\/2 - 6*l**2 + 14. Let k(m) be the second derivative of d(m). Find y such that k(y) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 1735*d + 1738*d - 3471*d - 600.\nAnswer: 3*d**3 + 2*d - 600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 76. Give r(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102710372?\nAnswer: 2, 37, 693989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3\/3 - j**2\/2 + 12. Let t be q(2). Solve 0 = t*l + m + 3 - 0, -5*l = 2*m + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**7\/7 - 73*q**6\/3 - q**4\/2 - 53*q**3 + q**2 + 2*q + 4592. What is the third derivative of w(m) wrt m?\nAnswer: -240*m**3 - 8760*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Solve n - 4598 = 5*n - 4602 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14 - 16 - 79 - 49*s - 138 - 130*s wrt s?\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Let l(k) = 5*k - 5*k + 8*k. Let y be ((-1)\/(2\/8))\/2. Give y*l(z) + 7*c(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -101021021 (base 3) to base 10\nAnswer: -7486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9961333 to two dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (-4 - (-13 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*y + m - 16, 5*y + 4 = 4*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + 10*x**2 - 10*x + 7. Let k be q(7). Suppose -3*l + 4*l + 2*o - 477 = 0, o = -3*l + k. List the prime factors of l.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31659 + -28792. What is the highest common divisor of 305 and z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-72)*9 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/13, 3, -21 in decreasing order.\nAnswer: 3, 3\/13, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (385\/63)\/(55\/75)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 6. Let d = 319\/78 - -27\/13. What is the common denominator of d and (11\/12)\/(3\/y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**4*i - 498*h**3*i**2 + 4*h**3*i + h**2*i**2 - i**2 - 42 wrt h.\nAnswer: -360*h*i - 2988*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 4515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c - 2*c**2 - 2*c**2 - 8. Suppose 0 = 14*r - 28 - 126. Let h(g) = -6*g**2 - 9*g - 15. What is r*s(u) - 6*h(u)?\nAnswer: 3*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385702 is divided by 2339.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.3, 13, 0.89, 2, -5\/6?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l - 7. Suppose -8 - 1 = 3*g + 2*w, 2*g - 1 = w. Let c(j) = 21*j + 13. Let o(t) = -t. Let x(p) = g*c(p) - 6*o(p). What is -11*k(h) + 6*x(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 3*z - 5 + z**2.\nAnswer: z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 83 = -4*h, -a - 2345*h - 79 = -5*a - 2346*h for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239869 is divided by 123?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 8*s**2 - 10*s - 6. Let b be x(-9). Suppose 16 = b*g + 22. What is the units digit of 82\/3 - g\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u. Let d(t) = -15*t**2. What is d(w(y))?\nAnswer: -1215*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28935 and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:38 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 15.6, 32, -0.2, 5\/3 in decreasing order.\nAnswer: 32, 15.6, 5\/3, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.45. Let w = i + -0.05. Is 1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t, -3*t + 6 = 3*j. Suppose -2*r + 3 - 9 = j. Let m be (136\/r)\/((-9)\/(-135000)). What is m rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 2 - 7)*(-238)\/(-21). Put 5, 2, p in ascending order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -15*i**2 - 2628 + 45*i**2 + 3503 - i**4 - 8*i**3 + 400*i = 0.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16126, 64820, 145982, 259612, 405710, 584276?\nAnswer: 795310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1178*c**2 - 191*c + 397*c**2 + 396*c**2 + 386*c**2. Let b(w) = 13*w**2. Calculate n(b(r)).\nAnswer: 169*r**4 - 2483*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2208250.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31779401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1051, 2091, 3131, 4171, 5211, 6251?\n\"Answer: 1040*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-575\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -2*m - 2*m. Suppose -2*h - 44 = -3*u - 3*h, -3*h = 3*u - 48. Let j(r) = -r**3 + 15*r**2 - 13*r + 15. Let k be j(u). Is k less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 - 36*c**2 - 40*c = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*y**3 - 9*i*y**2 + 2*i*y + 20752*i + 69*y**3 wrt y.\nAnswer: -12*i*y - 18*i + 414*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253742772 to the power of 1\/3, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = g - 5*g - 5*f, 5*g + 30 = 4*f. Find the common denominator of -93\/14 and g + (-96)\/(-56) - (-411)\/(-448).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -550 - -545. Let b(l) = -57*l - 164. Calculate the remainder when b(d) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200 + 145?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and ((-11520)\/8)\/9*4\/(-10)?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(-94)*1\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/9)\/(-8) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5152 and 805?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(84\/(-18))*-5)\/(30\/(-20)). Put -1, -7, 3, a, -2 in decreasing order.\nAnswer: a, 3, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/23 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/12)\/((-16)\/(-4672)). Let j = h + 221. Factor -1\/3*y**3 + 0*y + 1\/6*y**j + 0.\nAnswer: -y**2*(2*y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -369*z + 48132 - 36693 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 116*s + 48*s - 98985644. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*u**3 + 322*u**2 - 642*u**2 + 537*u**3 + 320*u**2 - 1047*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423357 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 11*l + 7\/2*l**2 - 12 + 1\/3*l**3. Let i be x(-6). Solve i*u = -0*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.036227 (b) 2 (c) 27 (d) -1\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 89. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8915249*g**3 - 10149878 wrt g.\nAnswer: -26745747*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-11))\/(2\/4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -179*b**2*p**3 + 83*b*p**3 + 22*b*p*q + 4*p**3 - 123*p**2 - 2*p*q + 1046*q wrt b.\nAnswer: -358*b*p**3 + 83*p**3 + 22*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g - 40. Suppose 0*c = 2*c - 246. Suppose 0 = 4*z - c + 51. What is the least common multiple of q(9) and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -363a0a7 - -1?\nAnswer: -363a0a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -5) + (-5 - 0) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z**2 - 3*z + 3. Let n(b) be the first derivative of b**3\/3 + b**2\/2 - b - 1. Let s(u) = -l(u) - 4*n(u). What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let n be y(2). Suppose n*b - 7 = 91. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/8 - -1 - 47025\/(-600). Calculate the highest common divisor of a and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1905, -3782, -5657, -7530, -9401, -11270, -13137?\n\"Answer: l**2 - 1880*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2 + 10*k - 7. Let s(u) = u**3. Let i(d) = -g(d) - s(d). Let h be i(8). Let l be ((-4)\/(-3))\/(h\/27). Let z(r) = 2*r. Give z(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550989, 2204252, 4959689, 8817300?\nAnswer: 13777085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004462 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 602*m + 23116. Let n(c) = 4*c**2 + 603*c + 23114. Let o(r) = 5*i(r) - 6*n(r). Factor o(y).\nAnswer: -4*(y + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-78)*(-10)\/105*(8 + -20)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 10*t**2 - 10*t + 4. Let b(h) = -21*h - 2321. Let s be b(-110). Calculate v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 508880936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + -0.2. Let y = 17270 - 17274. Put o, -2\/19, 3\/7, y in descending order.\nAnswer: 3\/7, -2\/19, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4579, 4869, 5189, 5551, 5967, 6449?\nAnswer: 7009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6917.69mg in nanograms?\nAnswer: 6917690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (19 + (0 - 10) + -19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by -1.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159*q + 1274 = -1068*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g - 91196 + 94107 = 0 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 833 = 313. Which is bigger: s or -58\/3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204508053 divided by 201\nAnswer: 1017453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8482.63386 - -0.43386. What is r rounded to the nearest one hundred?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 33 = -6*o, -4*t + 2*t + o - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 1)\/((-3)\/(-2)). Let w = 1.04 + -4.99. Let s = w - 0.05. What is the nearest to 2\/3 in -3, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*z = -16. Let s be (-1)\/(-3) - 10\/(-15). Let a(x) = 5*x - 1. Let k be a(s). Solve -k*p = 8 + z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12462, -1, -876.\nAnswer: -12462, -876, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.033 and -1.4?\nAnswer: 0.0462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 + 30*f - 112. Let h be j(7). Solve -5\/6*q**5 + 7\/6*q**3 - 1\/3*q + h + 1\/2*q**2 - 1\/2*q**4 = 0 for q.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13147534 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(3\/4)\/p))\/p**(1\/2)*((p\/p**(-1\/11)*p)\/p)\/p**4 assuming p is positive.\nAnswer: p**(-95\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -15*o + 11*o + 62, -5*n + 222 = -2*o. What is the third derivative of -99*g + 3*g**2 + n*g**3 + 64*g**3 - 5 + 99*g + 0*g**2 wrt g?\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 7*i**2 + 8*i - 6. Determine z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1334*r - 1334*r + 36*r**3 + 0*r**3 - 2*r**3 + 0*r**3 + r**3 - r**3 + 2*r**3 + (-r + 0*r - r)*(-r**2 + r - r).\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1885753*306.\nAnswer: -577040418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 52*b**2 + 194*b + 48. Let y be r(-56). What is the greatest common divisor of y and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*(-4 + 2). Suppose -g + 5*d = -0 + 7, p*d - 11 = 4*g. Calculate the common denominator of 189\/24 + g - 2 and 53\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - 4e472c?\nAnswer: -4e4718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - -1 - (5 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i + 80. Suppose -151 + 311 = -4*x. Does 47 divide m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*i - 48609*i**3 + 127*i + 48607*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -13\/75*q**6 + 1\/105*q**7 + 33\/50*q**5 - 31\/30*q**4 - 17*q + 2\/3*q**3 + 0 + 0*q**2. Factor l(w).\nAnswer: 2*w*(w - 10)*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*l + 6, -4 = m - 4*l + 2. Let a = 4 - m. Suppose b = a*b + 60. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = 3*z + 8, 4 = -z. Let c be (-1*s\/(-7))\/(-1). Let j = -5400 + 5404. What is the biggest value in 0.5, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 57*a - 126*a - 68*a**3 - 3 + 635*a**3 + 68*a. Let x(m) = -m**3 - m**2 + m. Let u be x(-2). Is d(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 19800.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**3 + 5*h**2 - 5*h. Let s(z) = -55*z**3 - 44*z**2 + 44*z. What is 44*f(j) + 5*s(j)?\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = -2. Let m = x - 6. Factor 3*g + g**2 + 2 - g - m*g**2 - 3*g.\nAnswer: -(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 39 - 16 - 3*i**2 + (-5*i - 2*i + 5*i)*(-3*i + 3*i - 2*i)*(-1 + 3 + 3).\nAnswer: 17*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -253, -90, 187, 578?\n\"Answer: 57*w**2 - 8*w - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -203*w + 0 - 2*w**4 - 18*w**2 - 3\/20*w**5 - 19\/2*w**3. Factor v(l).\nAnswer: -3*(l + 1)*(l + 3)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 - -0.44. Let b = -0.29 + o. What is the closest to 0 in b, -6, -3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1313 times -3573.9\nAnswer: -4692530.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -15, 2, 15.\nAnswer: -15, 2, 15, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/16*(28\/(-6))\/7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*8\/114. Let w(h) = -h**3 - 10*h**2 + 10*h - 16. Let u be w(-11). Let p be ((-12)\/4)\/((-6)\/8). Put p, u, g in ascending order.\nAnswer: u, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11051 = 42*r - 5497. What are the prime factors of r?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 22*l**2 + 24*l. Let q be t(12). Solve 0*o + 4\/5*o**2 + 0 + q*o**3 - 4\/5*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*h + 10. Let j(i) = 10*i**2 + 3*i - 1. Let w(n) = -7*n**2 - 2*n + 1. Calculate h*w(d) - 5*j(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 37*n**2 - 15*n + 7. Let s(m) = -17*m**2 + 7*m - 4. Let p(b) = -2*c(b) - 5*s(b). What are the prime factors of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {o: 7, x: 1, z: 5, p: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212528824, 212528825, 212528826, 212528827?\nAnswer: 212528828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgr when three letters picked without replacement from qrsgq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*(x**(1\/2)\/x)\/x)\/x*x)*(x\/x**(1\/3))\/x*x*(x*x**0)**(33\/4) assuming x is positive.\nAnswer: x**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxx. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdrnnnpin. What is prob of sequence pinp?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(1 + 4)*(-444 + -1)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10.916659 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*s - 19164 = -8545 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -3 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -260, -802, -1644, -2786?\n\"Answer: -150*d**2 - 92*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/60 + u**4\/6 - u**3\/3 + 19*u**2. Calculate l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 4*f + 6. Suppose b + b = 0. Suppose b = 6*y - y - 25. What is the units digit of n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from nniiptnnptonnpp.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -0.1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109.25 and -32.\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*m - 36 - 51, -w - m - 18 = 0. What is the remainder when ((-48)\/w)\/((-2)\/(-25)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 7*x**2 - 6*x + 5. Let u be j(6). Let t = -9 + u. Is (2\/t)\/(1\/(-74)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 261577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22532174 to the power of 1\/2, to the nearest integer?\nAnswer: 4747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u**3 + 166*u**2 + 12*u + 41. What is g(14)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2031170, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 0.1 (c) -14.4192 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.3*-54.3.\nAnswer: -1699.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 946 + 939 = -5*t, -f + 2 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 - -197. Suppose -6*j = -5*a - 2*j - 78, 3*a + 46 = 2*j. Let d = a - -6. Is d greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, 28, 425, 972, 1669?\nAnswer: 2516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -30 + 20 + 14\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(0 + -2 + -1). Let w be 0 - -2 - (m - 3). Suppose -r**2 + 1 - r**w + 5 + 2 = 0. Calculate r.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/9 - 11492*o\/9 - 5104 = 0. What is o?\nAnswer: -5742, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -100*a**3\/3 + 1023. Let r(z) = -5*z**2. Give r(i(h)).\nAnswer: -50000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.29 - -5.49. Let a = -529\/5 - -105. Is a at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269493 = -2*z - j, -j + 404240 = 577*z - 574*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 308532401 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/(6\/15). Suppose 0 + 15 = o*f. Suppose -f*p + 237 = -2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57814678 to the nearest integer?\nAnswer: 7604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbv when three letters picked without replacement from vwvgbvwgvbvv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 10:59 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*m - 3)*(-1 - 2 + 5) + (-4 - 4 + 5)*(-21*m + 36*m + 12*m).\nAnswer: -75*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/699126 and -57\/37415.\nAnswer: 24469410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2 + 16*n - 63 = 0.\nAnswer: 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 2252793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 192*x - 44*x - 97*x + 255 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49693.7*0.094.\nAnswer: 4671.2078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 - 5*q + 26. Calculate f(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3149.2 and 367100?\nAnswer: 370249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48219 = -17*h + 15885. Let t = 3611 + h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o**2 + 3730*o - 3730*o.\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**3 + 2*b**2 + 2*b. Let y(q) be the first derivative of 7*q**4\/2 + 7*q**3\/3 + 3*q**2 + 1428. Determine 7*v(r) - 2*y(r).\nAnswer: 7*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/12517 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 8. Let i(p) = p**2 - p - 1. Let b(k) = -3*k**3 - 6*k**2 + 6*k + 2. Let c(t) = v*i(t) - b(t). What is the derivative of c(z) wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 2*t**2 + 2. Let r be (-1 - -6)*(-2)\/(-5). Let z be g(r). Is (5 + -4)\/(z\/86) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - 40. Let k = u - -86.1. Let j = k + 6. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26bc + -3?\nAnswer: 26b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 43*g + 252. Calculate u(16).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5*v = -6. Let x(l) be the first derivative of -5*l**3\/3 - l**2 + l + 5. Let z(m) = -m**3 + 6*m**2 + 3*m - 2. What is v*x(i) - 2*z(i)?\nAnswer: 2*i**3 + 3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a - 5?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -93 + 1029. Let x = g + 36. What is the lowest common multiple of x and 50?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -968 and -969 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.5. Let r = 0.5 + o. Let j = -0.8 + r. What is the smallest value in -5, j, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -29*h + 1605 - 1698, -h + 3*l + 9 = -2*h - 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 775 and 25?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*z + 212*z + 68*z = -2870 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) 0.2 (c) -261 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 86?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -708 divided by 6\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let k be 0*(p + 1)\/(-2). Let d(t) = t + 7. Calculate the smallest common multiple of d(k) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n**2 - 5*n + 48. Let a be l(0). Let g = a + -16. Calculate the greatest common factor of g and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6753238 divided by 4?\nAnswer: -3376619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4*d + 9)*(2 - d**2 + 0*d**2 + 0*d**2)*(-69*d**2 + 2*d**2 + d**2) + 5*d**3 - 5*d**3 + d**5.\nAnswer: 265*d**5 - 528*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 at least as big as 19218\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4950\/3465*(-42)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -451.08 - -472. Let d = o + -20.91998473. What is d rounded to seven decimal places?\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.8 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -32*d - 23. Let o be g(-4). Suppose -3*k = 2*s - 78, -2*k - k + 120 = 3*s. Calculate the highest common divisor of s and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(0 + 0 + 2*u) + 2*u - 2*u + u)*(-2*u + 4*u - u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*r - 212 = 0, 3*q - 198 = -q + 5*r. Let x(k) = 20 - 26*k**2 + q*k**2 - 27*k**2. Let p(z) = -2*z. Determine x(p(h)).\nAnswer: -4*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 323 and 1462.\nAnswer: 27778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*k - 13, -5*p + 3*k + 30 = -14. Let g(a) = -64*a**3 - 3*a**2 - 7*a + 13. Let q(t) = 43*t**3 + 2*t**2 + 5*t - 9. Give p*q(d) + 5*g(d).\nAnswer: -19*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175324, -175323, -175322, -175321, -175320?\nAnswer: -175319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1342.4 + 1342.7. Let f = -309 - -4637\/15. Put y, -4, f, 0.4 in ascending order.\nAnswer: -4, f, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s**(-1\/6)*s**(4\/9)*s*s\/((((s*s**(-3\/4)\/s)\/s*s)\/s)\/s))**(-17\/5) assuming s is positive.\nAnswer: s**(1819\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from {h: 1, k: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128093*w**2*z**2 + 64*w**2*z - 4*w*z + z + 13 wrt z.\nAnswer: 256186*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -2 (b) -88350 (c) -0.3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20 + (-579345)\/(-34034) + 3 and 57\/70?\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*120\/(-980))\/(((-8)\/(-14))\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(15\/2)*o**(-3)\/o assuming o is positive.\nAnswer: o**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72.3 - -72.32. Which is the fourth biggest value? (a) -4 (b) 2 (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0.1, -2\/13 in ascending order.\nAnswer: -2\/13, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 24374 in descending order.\nAnswer: 24374, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6844749 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50553 and 607047?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44720 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 5, -4 in decreasing order.\nAnswer: 9, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -28?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 20*f - 35. Is a(-15) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17091577.8513865 less than -3?\nAnswer: 17091574.8513865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:15 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 3. Suppose 8*g - 276 = n*g. Suppose g = 3*i - 30. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3851, -15432, -34699, -61646, -96267, -138556?\nAnswer: -188507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-252)\/18 + 4 + 30. Which is bigger: 12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 20*q - 7 - q**2 - 5*q - 5*q. Let w be u(10). Is -8 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*i + 24*i + 81 = -477 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41614845 and 72525.\nAnswer: 208074225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 2 + -7 + 7 + -2. What is the common denominator of (25\/(-9) + s)\/(2\/21) and (-3)\/(-12) + (-7)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32071466 divided by -16035733.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 4 = 0. Suppose -67 = -k*b - 6*r + r, 2*b + 5*r = 41. Calculate the remainder when 36 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 14026?\nAnswer: -14026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*s + 5)*(-4 + 1 + 5) + ((6 + 8 + 5)*(-5*s + 3*s + s) + (3 - 3 - 2)*(0*s + s + s) + 2*s + 3*s - 3*s)*(3 + 3 - 3).\nAnswer: -69*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2336 and -7\/10512.\nAnswer: 21024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from hhqheyhyqz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -643bc9?\nAnswer: -643bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157764517, 315529030, 473293545, 631058062, 788822581, 946587102, 1104351625?\nAnswer: 1262116150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126966436 + 3*m + 126966436.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.5 or 9343.41?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*r, 3*b - 84 = 5*r - 98. Put 0.19, b, -5\/4 in descending order.\nAnswer: 0.19, -5\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/5 (b) 0 (c) 3\/4 (d) -0.5 (e) 13 (f) 79 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/15)*f*f**(-12)*((f*f**(4\/9)\/f)\/f)\/f**(6\/17) assuming f is positive.\nAnswer: f**(-9059\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 14. Let k be b(7). Suppose 4*z = -k*z. Suppose 3*g + z*g = 0. Solve -4*q + j + 17 = g, -q + 2*q - 3*j = 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4921 + 4924. Suppose 5*t - 39 = -14. Sort -10, t, p in decreasing order.\nAnswer: t, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362 * -0.019408.\nAnswer: 7.025696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-70) + 8\/60*-6. Suppose 2*n - 5*j = -6 - 1, 6 = 2*j. Which is the biggest value? (a) 1\/2 (b) -1 (c) t (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 4. Let o(q) = -23*q - 4. Let u be o(a). Let d(c) = -c**2 + 8*c + 1. Let i be d(7). Calculate the highest common factor of u and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 149. Let v be g(-19). Solve -55 - v = -37*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128156 is divided by 175.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 9617.12.\nAnswer: 9617.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 0*q + 14 + 0*q**2 - 2*q**3 - 5\/2*q**4. Find the third derivative of s(z) wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w - 2*w**3 - 172*w**2 + 172*w**2 + (-3*w**2 + 2*w**2 + 0*w**2)*(0*w + 0*w - 5*w).\nAnswer: 3*w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -96\/7 (c) -2\/3 (d) -0.06 (e) -0.3 (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/((k*k*(k*k**(1\/4)*k)\/k)\/k)))**(5\/17))**13)**(-23))**(-2\/81) assuming k is positive.\nAnswer: k**(1495\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 3, h: 1, j: 3}. What is prob of picking 2 s and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h. Let j be (6 - (h - -2))*1. Suppose -3 = -w - 0*w, -2*o + 50 = -j*w. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561 and 17525691?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 484462 by 242231.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1100010111010100101 (base 2) to base 14\nAnswer: a791b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - u + 16 = 5, -2 = 2*u. Let q be (-3)\/18 - 49\/c. Let a = 17 + -9. Calculate the highest common divisor of q and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 10, -10, -50, -116, -214, -350, -530?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 963 and 991569?\nAnswer: 2974707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865397, -1730770, -2596139, -3461504, -4326865?\nAnswer: -5192222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -12. Suppose 0 = 18*a - w*a. Solve a = -3*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 91*x - 40340 = -96*x, 0 = -5*k + 5*x + 40330. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3 + 1 - f + 0*f - 2. Let k be g(-4). Suppose -3*l + 10 = -3*b - 2*b, 0 = l - 5*b. Solve k = 5*x + l - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + -1)*1 + -5)**2*-1 + -4.\nAnswer: -1140 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (7 - (14 + 11 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 92 = -b. Suppose -b = -2*y - 2. Suppose 2*k + y = 3*k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/10)\/(369\/(-205)). Put -10, i, -5 in ascending order.\nAnswer: -10, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/145993 and 93\/53141452?\nAnswer: 53141452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -3.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 553061?\nAnswer: 53\/553061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22367.9 weeks in minutes?\nAnswer: 225468432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -143.896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r + 108. Suppose 5*g = g + r. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/322696 and -49?\nAnswer: 322696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-14 + 17)\/(6\/(-8)). Let f = -2 - -74. What is the tens digit of f\/2 + -2*n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 1. Let n be j(2). Suppose n*a = 3*a + 12. Suppose -a*z + 10 = -5. Solve 4*q - 3*l - 14 = -l, 0 = -5*q - z*l + 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:21 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4 - (-84)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2843383187 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 - 17*y**2 + 17*y + 17. Let w(t) = t**3 - 6*t**2 + 6*t + 6. Suppose 4*i - 13*i = 153. Determine i*w(s) + 6*v(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*j**2 + 0)*(966*j**2 - 907*j**2 - 8*j + 3*j).\nAnswer: 118*j**4 - 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*f = -6*f + 232 + 20. Put -3, f, -7, 465 in decreasing order.\nAnswer: 465, -3, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -25*t. Let a be f(-1). Find the second derivative of -u**3 + a*u**3 + 4*u**3 + 3*u wrt u.\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 341397496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 3*h**2 - 2*h - 2. Give y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - 2 - (-2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -38414\nAnswer: -34572.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**27)**29 assuming q is positive.\nAnswer: q**783","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1902433 is divided by 54355.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, -17, -0.9, -10 in descending order.\nAnswer: 2\/3, -0.9, -2, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20788 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -48. Let m(o) = 11*o + 20 - j. Give m(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c - 18 = -38*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 15902*t - 15895*t - 7 + (-4 - 2 + 4)*(t + 0*t - 3*t) to the form j + r*t and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8120\/3 - 2706. Sort m, -0.51, -1, -3 in descending order.\nAnswer: m, -0.51, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/2 + 143*g**4\/2 - 2733*g**3 + 39967*g**2 - 371365*g\/2 - 456909\/2 = 0.\nAnswer: -1, 17, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24726+5\nAnswer: 24731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1644 and 1\/959.\nAnswer: 11508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14564*j + 495171. Determine s(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 428402 or 428403?\nAnswer: 428402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.057 + 140.057. Let k = u - 140.059. Round k to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 2146493 = -5*r - 7613408. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**8*v)*v)*(v**(-8\/5)*v*v)\/v assuming v is positive.\nAnswer: v**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -30*y + 8. Let p be s(6). Let h = p - -264. Suppose 84 = 2*g - h. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10663 (base 9) to base 13\nAnswer: -3306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -4 (b) -345.4 (c) -1 (d) 1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 14. Let m be o(12). Round m to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:39 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - g - 231. Let x be m(11). Let d(s) be the first derivative of 1\/2*s**6 + x*s - 6\/5*s**5 + 0*s**3 + 3\/4*s**4 + 0*s**2 + 7. Factor d(h).\nAnswer: 3*h**3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c2b4 (base 13) to base 11.\nAnswer: 164925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4308, -27.\nAnswer: -27, -5, 4308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 8*k**2 - 3*k + 8. Let o(h) = 2*h**3 - 5*h**2 - 2*h + 5. Let w(f) = 7*o(f) - 5*x(f). What are the prime factors of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*h + 157*h + 10 = o, -18 = 11*h - 3*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + k - 137 = 0, 5*i + 46*k - 43*k = 166. Let z be (-60)\/(-5)*8\/24. Solve z*w + 5 = 5*o, 2*w = -4*o - o + i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/9 - 21922*d**2\/9 - 21928*d\/9 + 4872 = 0. Calculate d.\nAnswer: -2, 1, 10962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 97*h**2 + 96*h + 325. Give a(98).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**5 - 46*h**4 - 4*h**3 + 4*h**2 + 1238*h. Let b(z) = -z**4 + z**3 - z**2 - z. Let f(r) = -4*b(r) - i(r). Find the second derivative of f(j) wrt j.\nAnswer: -20*j**3 + 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 + -140. Which is the nearest to y? (a) -0.4 (b) 0.06 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48330517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (-47 + 59)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (50\/(-90))\/(1\/(-9)). Suppose 0*m = -j*y - 5*m + 3090, -5*y - 2*m = -3090. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*b + 9732*b + 22271*b.\nAnswer: 32961*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*j - 21*j + 40. Let p be (-1)\/((3\/20)\/(12\/j)). Solve -3*t + 8*t = p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -m*i = 32 - 7. Put 5, -1, i in ascending order.\nAnswer: i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 1\/3, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271468*m**4 + 246992*m**2 wrt m?\nAnswer: 6515232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26148131, -52296253, -78444373, -104592491, -130740607, -156888721, -183036833?\nAnswer: -209184943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4642 - -46457\/10. Let y = 25393\/3710 + 98\/265. Calculate the common denominator of y and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.0208, 9.13?\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.227537ml to litres.\nAnswer: 0.006227537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -762*h**2 + 460*h**2 - 162*h**2 - 766*h**2.\nAnswer: -1230*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:04 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - t**2 + t - 4. Suppose -47*h + 45 = -49. Let v be 4*6\/3 + -3. Suppose 0 = -2*z - h*z + v*z. What is l(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1754, 1739, 1708, 1655, 1574, 1459, 1304?\n\"Answer: -r**3 - 2*r**2 - 2*r + 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 89035429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13 - 9319*4\/(-2856) and 67\/14.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6017456 divided by 3008728?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + 4*m**2 - m + 6. Suppose -21*t + 89 = -58. Let h(j) = -j**2 + 6 - 4*j + 4*j - t. Determine c(d) + 6*h(d).\nAnswer: 3*d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 - 13*c**2 - 4*c**2 + 13*c**2 to the form x*c**3 + t + f*c**2 + d*c and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021313031320 + -1?\nAnswer: -1021313031321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from vmvmm?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/8, -2, -0.1, -112\/11?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -0.038948?\nAnswer: -3.038948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(192) + 1*sqrt(192))*-6)\/(sqrt(16)\/(sqrt(16)*-2 + sqrt(16) + sqrt(4))).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273 + 422. What is the remainder when l is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20388613943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven halves of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -25*u - 199. Let s be k(-8). Let q = -4 - -6. Let b be (-3 + 3)*(2 - (q + s)). Solve b = y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.25 and 0.039.\nAnswer: 0.04875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 438161.6ug in nanograms?\nAnswer: 438161600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 403346785 rounded to the nearest 10000?\nAnswer: 403350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27707737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeejeemqemem. Give prob of sequence mmje.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:47 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -144, -304, -526, -810?\n\"Answer: -31*j**2 - 5*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) - (-384)\/(-27). Let b = l + 13. Let p be (48\/(-15))\/(b\/5). Solve -d + 8 = 2*m, 3*d - 4*d = 4*m - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2633 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8944 and -37\/143.\nAnswer: 98384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/336 - 13*i**7\/105 + 7*i**6\/15 - 19*i**2 - 4*i. Factor a(q).\nAnswer: -q**3*(q - 2)*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243570890 is divided by 8260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 90*s**2. Let j(d) = 82*d - 340*d + 82*d + 85*d + 87*d. What is w(j(a))?\nAnswer: 1440*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = 23*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, p: 5, j: 1, s: 1, g: 1}. What is prob of picking 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 9*z + 12. Give v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(325) + 2)**2 - sqrt(325)).\nAnswer: 15*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrgxgxxxggggxxu. What is prob of picking 2 g?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8582 in -33, -1\/11, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 5, u: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24499?\nAnswer: 24499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.4 + 41. Let v = -10.9 + n. Let l = -11 + 6. What is the fourth biggest value in 3, 7, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-1)*(-19 - (-616)\/33)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13 - 1960180*h + 1960181*h + 7. What is g(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*s + s**2 + 34*s - 4)*(-41*s - 4 + 0 + 42*s).\nAnswer: s**3 - 4*s**2 - 4*s + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 2*k**2 + 6*k**2 + (-k + 0*k - k)*(-k - 3*k + 2*k) - 2*k**2 + 3*k**2 - 2*k**2)*(-k + k + k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f\/((f**(-33)*f)\/f))*f*f**(-35)*f**(-1\/55)\/f*f**(14\/11) assuming f is positive.\nAnswer: f**(-3616\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s**(-20)\/s*s*s*s*s*s**(18\/7))\/(s**(-2\/27)*s**(-8)) assuming s is positive.\nAnswer: s**(-634\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 584 - -1424?\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2\/2 + 32*m - 9127. Let z(v) = 3*v - 65. Determine 5*q(x) + 2*z(x).\nAnswer: x + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 2 - 17 - (1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(140)*-5)\/((sqrt(60)\/sqrt(2))\/sqrt(3)))\/(3*(sqrt(72) - (sqrt(72) + -1*sqrt(72))) + sqrt(72) + 3*sqrt(72)*-1).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.7078 rounded to one dp?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 - 3*l**2 + l**2 - 4*l**2 + 2*l to the form y*l**2 + x*l + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 5*j**2 - 5*j - 10. Let m be i(-4). Let u(c) = c**2 + 5*c. Let d(n) = n**2 + 6*n. Give m*u(z) + 5*d(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by -46.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 8:07 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-40)\/(-110) - 1219\/(-66) and -53\/716.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85835286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 221. Suppose -y = 4 - v. Round y to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4\/5 + 57126*w**3\/5 - 262772631*w**2\/5 - 87361763532*w\/5 - 7016110306572\/5 = 0. What is w?\nAnswer: -158, 9679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37523523 to the power of 1\/2, to the nearest integer?\nAnswer: 6126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/68*8\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -205, -204, -201, -196, -189, -180?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699316186 to the power of 1\/2, to the nearest integer?\nAnswer: 26445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + q)*((0 + 4 - 2)*(1 + 1 + 7) - 1 + 2 - 2 + 7 + 25 - 4)*(-1 - q + 1).\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1578 divided by -167\nAnswer: 1578\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 + 64*q**3 + 5*q**4 + 2*q**5 - 73*q**3 - 3*q**5 - 2*q + 11*q**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 - 17*z + 26. What is c(11)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121314 is divided by 663.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304))**2 + -1 - ((sqrt(19) - (0 + sqrt(19))) + -5).\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 14471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5522?\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + b + 35, -k - 3*b = -23. Let c be 49\/196 - 2*2\/k. Sort 4, -0.1, c, -12.\nAnswer: -12, -0.1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 4*a**2 + 11*a. Let c be j(-6). Solve g - c*g + 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0229 and 0.3?\nAnswer: -0.00687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/11)*v\/v**(-3)*(v*v*v**0)**(-21) assuming v is positive.\nAnswer: v**(-420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20505*r - 20497*r - 352 = 0 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:43 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2865.57 * -0.3.\nAnswer: -859.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 11 + 1. Suppose p*t - 410 = -2*t + 5*d, 0 = 2*t - 4*d - 168. Suppose 2*o - t = -4*j + 6*j, -3*j = -4*o + 159. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 9, y: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*4)\/sqrt(9))\/(sqrt(3) - (-6*sqrt(18)\/sqrt(6) + sqrt(3))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8 = -4*p + 161, -17 = -p - 3*d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(5) + sqrt(5))*-4 - (1 + sqrt(5) + 5 - (-1*sqrt(180))**2).\nAnswer: -9*sqrt(5) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844, -1695, -2540, -3373, -4188?\nAnswer: -4979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 = 2*t. Suppose 0 = 3*l + t*k - 178, 7 = k + 3. Suppose 210 = 3*o + l. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m**2 - 6*m - 2. Suppose -3*p = -3*w + p + 5, 0 = -3*w - 2*p + 11. Let l(k) = -4*k**2 - 2*k - 1. What is w*n(i) - 8*l(i)?\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 43*r**2 - 22*r**2 - 6*r - 210 - 23*r**2.\nAnswer: -2*r**2 - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(176) + 0)*-4 + -5.\nAnswer: -32*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -154 + 152 + -3 + 1. Suppose 4 + 4 = 4*p. Suppose p = -f + 3*w + 3, 2*f + 16 = -3*w. Put x, f, 9 in decreasing order.\nAnswer: 9, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p. Let a(u) be the first derivative of u**3 + 8. Determine a(h(g)).\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 4. Let x be z(-7). Calculate the greatest common factor of x and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2034 = 15*m - 9549. Suppose 2*c + 3*p - m = 2678, 3*c - 5*p = 4778. What are the prime factors of c?\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, -124, -260, -398, -538, -680, -824?\n\"Answer: -w**2 - 131*w + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2639596 to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1107, 7 in increasing order.\nAnswer: -3, -1, 7, 1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 - 4*w - 4. Let r be u(6). Calculate the highest common factor of r and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/113135797 or 0?\nAnswer: -4\/113135797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 + 8*x**2 + 2*x**2)*(-2117 + 93*x + 2117) as r*x**3 + n + q*x**2 + u*x and give r.\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 25 = 0, 2*h - 19 = 3*o - 3*h. Solve 8 = 2*b + 5*p, 0 = o*b - 4*p - 7 - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12*g**2 - 2*g + 6. Determine c(4).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49022?\nAnswer: 2, 127, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -120*171\/(-570) - 104.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Solve 0*r = x + 3*r + 2, -8 = w*x - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:38 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1977*0.958\nAnswer: -1893.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2821.2 * -0.003\nAnswer: 8.4636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2. Let k(d) = 2428 + 372*d - 810 - 800 - 818. Calculate k(f(b)).\nAnswer: -1116*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 2. Let k(a) = -1. Let z(j) = -g(j) + 5*k(j). Let h be z(-3). Solve -4*c - 27 = -4*m + m, 2*m + 5*c + 5 = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.04 - -0.04. Let o = 404 - 403. Let r = 1.3 + -0.3. What is the closest to r in o, s, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/(-2)*9 + 0?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -18. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**3 - q**2 + 4*q - 70. What is the units digit of w(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -0.87102.\nAnswer: -4.87102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 3*h - 3. Let k(n) = -n**3 + 5*n**2 + 8*n - 2. Let o be k(6). Suppose -5*m - o = -j - 2*m, 0 = 3*j - 3*m - 18. Determine i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7072 and 1819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(352)*3)\/((-6*(sqrt(110)*1 + sqrt(110)))\/(sqrt(160)*-2 - sqrt(10))).\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 32*g = 34*g + 5, -4*w - 7*g + 6*g + 26*g + 29 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406437?\nAnswer: 3, 135479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*u**4 - 2*u**4 + 5*u**4 + (3 + u**3 - 3)*(-2*u + 4*u + 0*u) to q*u + r*u**2 + y*u**4 + n + j*u**3 and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -11\/2. Let n = -0.08 + 0.58. Let p = 225 - 220. Which is the third smallest value? (a) s (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 29188159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 7:11 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*g - 12 = 0, 0*g = -2*g - 10. Suppose -r = -x, 6*r = 2*x + c*r + 4. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 + 139.795. Let t = v - -0.605. Which is the second smallest value? (a) t (b) -0.09 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148\/3402191 or 1?\nAnswer: 148\/3402191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(6)*2 - sqrt(6) - sqrt(6))\/(sqrt(3) - -5*sqrt(33)\/sqrt(11)).\nAnswer: -1 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*a**2*z**2 - 39007*a**2*z - 2*a*z - 8609*a + 116*z**2 wrt a?\nAnswer: 84*z**2 - 78014*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*t + 36. Suppose 2*p - 4 = 2*v, t - 20 = -4*p - 2*v. Solve 7*n - p = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8951824?\nAnswer: 2, 7, 257, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*6*11*(-24)\/528.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 + 20 = 4*l + 5*h, -5*l = -4*h - 422. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2398 and 235\/(-3052) - (-1682)\/5887?\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 2621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4149 + 4151.3. Which is the closest to m? (a) -0.4 (b) 2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 7:41 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130182674?\nAnswer: 2, 59, 139, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437 + 439 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 2\/67423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i**(1\/3)\/i*i)\/i))**(1\/2))**(3\/32) assuming i is positive.\nAnswer: i**(1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2469595 and -3?\nAnswer: -7408785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7885, -7886, -7887?\n\"Answer: -l - 7884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/(-18) + 0\/47.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4410 - 12?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 2, s: 3, p: 1, c: 5}. What is prob of sequence rsps?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7135 - 4978. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -30*f**2 - 5*f + 5. Let z(s) = -28*s**2 + s + 2. Let n(v) = -v**2 - 5*v + 2. Let u(a) = -n(a) - z(a). Calculate -4*k(y) - 5*u(y).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadddddddaadddddad. What is prob of sequence aad?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19147037 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2207904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b*i**2*p + b*i**2 - 22*b*i*p + b*i + i**2*p + 19*i**2 + 40*i wrt i?\nAnswer: -22*b*p + 2*b + 2*p + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.4024 + -188165.5976. Let i = z + 188117.0077. Let x = i - -76. Round x to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1706 (b) 0.4 (c) 4 (d) 68.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 816 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 184, -53, -928, -2759, -5864, -10561, -17168?\n\"Answer: -53*v**3 - v**2 + 137*v + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 10*t - 7. Let w be r(9). Suppose -w*h = -h - 2. Suppose -3*x + 3*b + 146 = h*b, 119 = 2*x - 5*b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/93, -1\/3, 3, 11, 136, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.11 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129, -112, -85, -48?\n\"Answer: 5*q**2 + 2*q - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - g - 1)*(1 + 0 + 1) - 2*g - 2*g + 3*g + 4404 - 5716 - 4278*g + 4280*g - 16838 as b*g + p and give p.\nAnswer: -18150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80126162 divided by -5?\nAnswer: 80126162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-10 - 2715*x**2 + 939*x**2 + 968*x**2 + 959*x**2).\nAnswer: -151*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 7 + 6 + 3*h**2 + 2*h**3. Let f be z(-2). Let y(t) = -t + 27. Let j be y(22). Solve 4 = -f*s + j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*p - 111882 = -38*p - 315*p. Which is smaller: 642 or p?\nAnswer: 642","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0)**2*6.\nAnswer: 7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-364) - (9 + (-6750)\/770)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 84, 1, 1\/19.\nAnswer: 1\/19, 1, 8\/3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/216 and -173\/1295460.\nAnswer: 2590920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**33\/a**(-5\/4))\/(a**31\/a*a*a*a**(-2\/23)))**22 assuming a is positive.\nAnswer: a**(2365\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 4:36 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14) + -1 - (-21744)\/(-8456).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/5*b + 0 + 11\/5*b**3 - 1\/5*b**4 + 5*b**2 = 0. What is b?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.7 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)\/((a\/a**(3\/4))\/a*a)*a**(-2\/19)*a\/((a*a\/(a*a*a*a\/a**(-13)*a*a)*a)\/a)*a*a assuming a is positive.\nAnswer: a**(1113\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3*x**2 - 6)*(2*x + 9*x + 0*x).\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52165 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 22*w**7\/7 + 6*w**5\/5 - 146*w**3\/3 + 31. Find the third derivative of k(o) wrt o.\nAnswer: 2640*o**3 + 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 1982*v + 82950. Calculate f(41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-1)\/((-2)\/16)). Let f = 12 - 9. Which is the second smallest value? (a) h (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013481660529 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23818 is divided by 1029.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2187614 or 2187612?\nAnswer: 2187614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16551 + 4338 = -59*c. Sort 1, c, -5, -14.\nAnswer: -14, -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -q - x - 4, -x = 3*q + 4. Suppose -9*u + 830 + 205 = q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (2 + 2 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 147 = 11*o. Let q(u) = -53*u - 22. List the prime factors of q(o).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 523 + -477. List the prime factors of 4\/t - 315860\/(-782).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 14*p - 19*p + 33*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/252 and -97\/439146?\nAnswer: 6148044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2. Let w be n(1). Let r = w - -1. What is the units digit of (0 - 8\/r) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851223 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 83604.844 to the nearest 100.\nAnswer: 83600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 105 = -6*y. Let b = y - -32. Let q(a) = -a + 14. Let u be q(b). Solve 3*h - u + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 - -1068?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*m + 34, 3*w + 3*m - 1 = 23. Let c(h) = w*h - h + h**2 - 4*h. What is the units digit of c(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 21. Let i be 114\/(-36) + 1\/6. Let h be c(i). What is the closest to 2 in -1\/4, -6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -752, -0.689, 2\/7 in ascending order.\nAnswer: -752, -0.689, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 684515 = -15*w + 46*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*i + 385 + 227, -i = -5*n + 3084. Suppose -3*m + n = 86. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48075264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*v + 8*x + 16, -3*v - 3*x = 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 263, 486, 699, 896, 1071, 1218?\n\"Answer: -t**3 + t**2 + 227*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -3\/2, -3, 1, 0.4, 2, -5507?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000948393421 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 427711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309 + 4168 = -235*m - 3486 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 30*d**2 + 676*d - 42. Let o be w(45). Factor 4\/7*t**o - 2\/7*t**4 + 0 - 2\/7*t**2 + 0*t.\nAnswer: -2*t**2*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Let m(l) = 71738599*l**2. Calculate m(t(x)).\nAnswer: 286954396*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpplpllplp. What is prob of sequence pp?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 26. Let w be v(5). Solve b - 2*t + 0*t = w, -2 = -b + 3*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a - 27b3?\nAnswer: -285d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Let w(m) = -101077*m. Determine d(w(z)).\nAnswer: -101077*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Let d be (-3)\/(-6) + (-69)\/2. Let g = -21 - d. Solve f*v = -j - 23, v = -4*v + 4*j - g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 17*s - 56. Let c be b(-20). Let f(v) = -v**2 + 2*v + 11. Determine f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97563mg in micrograms?\nAnswer: 975.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303*f**3*h**3 - 284*h**3 wrt f?\nAnswer: 909*f**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 + 142164*w = 0.\nAnswer: 0, 47388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(8\/11)\/(f**(2\/5)*f)**(1\/11) assuming f is positive.\nAnswer: f**(-7\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21844 is divided by 754.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1 - -3)\/((-8)\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.4. Let r = 19555.1 - 19555. What is the nearest to r in v, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1116 + 23*y**2 - 25*y**2 - 31*y + 1105)*(-y + 3*y + y + 3 + y - 3 + (y + 3 - 3)*(1 + 0 + 0) + 2*y + 4 - 4) to q*y**3 + w*y + m + z*y**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*b - 105 = 315*b. What is the remainder when 822 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-23) + (-28)\/322. Suppose -z - 3*i - 93300 = k, -i - 186600 = 2*z - 5*i. What is z rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -363b065 + -6?\nAnswer: -363b06b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 27*b + 35. What is r(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7287918?\nAnswer: 2, 3, 11, 23, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2 + 837*w - 4160 = 0?\nAnswer: 5, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 2 - 2 + (1 + 2*a - 1)*(-a + 3*a + 0*a) + (0*a**2 - 3*a**2 + a**2)*(-1 + 2 - 2) as d*a + s + j*a**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -6747 - 22898 - 1479*w - 180*w**2 - 3141*w = 0.\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3613532 (base 11) in base 8?\nAnswer: -30021147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 19454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 118. Solve -5*v - 5 - x = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 0*p - 9*p**3 + 45\/4*p**4 + 3\/2*p**6 + 3*p**2 - 33\/5*p**5 - 4. Factor g(x).\nAnswer: 3*x*(x - 1)**3*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1282 - -25237.91331.\nAnswer: 26519.91331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 9 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.844 plus 1?\nAnswer: 7.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 155 = -2*u. Suppose -i + 12 = -5*p, -3*p - u = i - 5*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2 + 154*o + 15 - 5.\nAnswer: 154*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 66327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 1, e: 7, i: 4, u: 3}. Give prob of picking 1 e and 1 i.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 35 = 5*u - 27*x, -4*u + 3*x = -27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuru when four letters picked without replacement from ruuoobuorbuouero.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1*4 + (-145)\/35). Suppose -5*w + 24 = d*w. Solve 4*h - 5 = -5*k, -3*h + k = w*k + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -5, -8.\nAnswer: -8, -5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -226 + 226.000406. What is p rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 + 7*m - 13. Let j be y(7). Suppose -5*b + j = -b. Suppose 7*p = 4*p + b. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9589*b + 9582*b = 4*h - 39, -2*h + 25*b = -105 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8502*s**3 - 2 + 1489*s**3.\nAnswer: 9991*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 61418?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = j, 464*j - 465*j = -3. Solve 12 = -4*z - 2*x + 20, 2*z - u*x = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**3 - 16*q**2 - 6*q. Let j be d(3). Solve -c - c = -3*v + 3, -2*c + 4*v - 2 = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58967 > -59069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43037 - 22411 = -20337*y + 19529*y for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 2:55 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.4 + 27. Let u = -3.6 + o. Let g be (6\/24)\/((-6)\/(-8)). Which is the closest to u? (a) g (b) 3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1771*d**2 - 2*d - 2998 + 6139 - 2797 wrt d.\nAnswer: -3542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313228 is divided by 2722?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415700.2 tonnes to kilograms.\nAnswer: 415700200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -3.86294.\nAnswer: -3.66294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*c**3 - 126*c**2 - 268*c**2 + 45*c**2 - 108*c**2 wrt c.\nAnswer: 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 9*v**2 - v + 22. Let h be m(9). Suppose 0 = 11*b - h*b + 710. Suppose 5*d - 2*c - 1799 = -c, d = -c + b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let s = 3 + l. Let a(n) be the second derivative of n**3\/6 + n**2\/2 + 30999*n. What is a(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -140*f + 55. Suppose 4*a - 28 = 11*a. Let n(q) = -10*q + 4. What is a*m(d) + 55*n(d)?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from llfxxpxlxlpflxlplll?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 5. Let z = -20 - -14. Let i be l(z). Let d(p) = 13*p**3 - p**2 + p - 1. List the prime factors of d(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -499306 divided by 23\nAnswer: -499306\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 + 62*w - 10. Determine j(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 8:58 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2*2 + sqrt(70))*5)\/(sqrt(90)\/((sqrt(27)*1 + sqrt(27))\/sqrt(3))).\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79800 and 1680.\nAnswer: 159600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459676 is divided by 5472.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 525091670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2732?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (28895\/(-55))\/(12\/(-132)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11808558.\nAnswer: 2, 3, 218677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 9 + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-56)\/168*3\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 888187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*c**2 - 4954*c**5 + 1 + 2725*c**5 + 3500*c**5 wrt c?\nAnswer: 76260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {s: 5, a: 11}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -857 (c) 6 (d) -875\/6 (e) 2\/9 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -99. Suppose 126 = 3*o + 3*g, -o + 5*g + 3 = -51. Suppose -2*u - o = -2*x - x, 4*x = u + z. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3455, 13481, 30039, 53135, 82775?\n\"Answer: h**3 + 3260*h**2 + 239*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3774 is divided by 57.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133*(-135)\/540*24\/63?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 48 = 6*i. Let v = 8 - i. Let o(w) = -w**3 - 4*w**2. Let d(n) be the first derivative of -n**3 + 102. Determine v*d(g) + 3*o(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*b + b. Let k(v) be the third derivative of v**5\/60 - v**4\/8 + 12*v**2. Let z(c) = -3*c**2 + 8*c - 1. Determine b*z(l) + 8*k(l).\nAnswer: -l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38870 and 6210.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -62844 at most -62843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -86. Calculate the lowest common multiple of 3 + (1 + d - (-9)\/9) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45976350 is divided by 621.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 - j + 1. Let m be t(-3). Solve 2*f = -6 - m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7970.359 decades?\nAnswer: 79.70359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 399482, 797896, 1196308, 1594718, 1993126, 2391532?\n\"Answer: -t**2 + 398417*t + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 163142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -89, 8\/3 in descending order.\nAnswer: 8\/3, 1\/7, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 3*i - 6*i + 2*c, 4*i - 156 = 5*c. What is the greatest common factor of 156 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13120 (base 5) in base 8?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1593 - 7827. Let v = 7437160\/1193 + s. Let c = v + 4798\/15509. Is -1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37087 - -38179. Calculate the greatest common factor of n and 6720.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1465632495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 367886 to the power of 1\/2, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 814680 divided by 1240\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2261 and 36708?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15*2)\/(1*-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Suppose 0 = -4*n - 4*g + 44, 3*g - 2 = -n + 9. Let v = -11 + n. Solve v*a + 8 = l*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5)*1 - sqrt(5)))**2 + sqrt(5) + (-4 + sqrt(5) + 2)**2.\nAnswer: -3*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 9:07 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -435458*m + 3483669. What is z(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 8 = -3*m + 5, 2*m = 5*o + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = -3*w + 3*p, -3*w + 16 = 2*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97869, -97848, -97827?\nAnswer: -97806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prnonyowp. Give prob of sequence ppon.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*f**3 - 950*f**3 + 312*f**3 + 280*f**3.\nAnswer: -41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 1)*(-21)\/(-14). Solve 4*n - r = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j**6 - 5\/24*j**4 + 0*j**3 + 1\/70*j**7 - 3*j**2 + 0*j + 0*j**5 + 0. Find the second derivative of n(i) wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - 8026*a + 47939. Give o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 16 = -21*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -49*l**6\/180 - 21*l**5\/4 - 263*l**4\/18 - 95*l**3\/6 - 33*l**2\/4 - l - 149. Let v(z) = 0. What is z?\nAnswer: -11, -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*p**4 - 3 + 87*p**4 - 2*p**2 - 13 + 11*p**2 - 10*p wrt p.\nAnswer: -24*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10100100010101000000111?\nAnswer: -10100100010101000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(3\/5)\/o*o))**(2\/13)*(o**(-1\/3))**(4\/9))**(-2\/5) assuming o is positive.\nAnswer: o**(844\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from unuugngzjluunuujjn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47459\/8 - -5924. Let h = -2336 + 9275\/4. What is the common denominator of h and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:23 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000000 (base 2) to base 4.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/12*(-1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 621324 (base 8) to base 5\nAnswer: 23034044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19694892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*i = -294*i - 1124. Let o = -212 - i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 3*c + 150. Suppose -9*f - 64 = -10*f. Let b = f - c. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -11 - 4. Let h(i) = i - 1. Let k(o) = -41*o + 26*o - 5 + 21*o. Let r(n) = p*h(n) + k(n). Let f(z) = -11*z**2. What is f(r(y))?\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26313 and 1078833.\nAnswer: 1078833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.833 (c) 1\/4 (d) -157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15093 and 1001556.\nAnswer: 39060684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 - 53. Let m = a + 198. Solve -2*w + m*w = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**2*s*u + 3*p**2*s - 10*p**2*u**2 + 2*p**2 - s + 2*u**4 wrt u.\nAnswer: 2*p**2*s - 20*p**2*u + 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16508 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43.5 + -38. Let x = -0.04 + -4.96. Let p = t + x. Sort -0.5, 3, p in decreasing order.\nAnswer: 3, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5))**3)**(-36) assuming u is positive.\nAnswer: u**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -53, -79?\n\"Answer: -26*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-277 - -259) + (3 - -2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 687850331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274674821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5601 is divided by 377.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 5, 3, 0 in descending order.\nAnswer: 5, 3, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -31*h**4\/4 - h**3\/3 - 3. Let q be j(2). Let y = -170 - q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 207?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 30*m - 23*m)*(78 + 4*m - 78).\nAnswer: -188*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, s: 1, r: 1, y: 2, p: 1}. What is prob of sequence psxr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 38*x + 3. Let f be y(-1). Let h be (8547\/f)\/(2*1\/(-10)). What is the remainder when 145 is divided by (2\/(-6))\/(22\/h)*-2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1273, -2692, -4265, -5992, -7873?\nAnswer: -9908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*q = 101 + 20, -2*b - 2*q = -218. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 - 32*i**3 - 55*i**3.\nAnswer: -103*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose -31*l - 3 = 4*c - 34*l, 5*l = -c + 28. Suppose d - c*m = -o*d + 12, 5*d + 5*m - 40 = 0. Solve 0 = 2*a - d*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 15*u**2 + 10*u - 149. Calculate x(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + (-120438)\/12)\/((-1)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2951359979*s - 2951359979*s + 18*s**3.\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144\/5*l**2 - 10*l**5 + 224\/5*l + 0 - 22*l**4 + 1512\/5*l**3 = 0 for l.\nAnswer: -7, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701 + 199 = 5*h. Calculate the smallest common multiple of 16 and (h\/(-75))\/(1\/(-15)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/60 - l**5\/60 - l**4\/24 + 10*l**3\/3 + 1586*l**2. Give i(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a minute in milliseconds?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2. Let d be h(2). Let l = 51 - 31. Suppose o + 6 - l = d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 127\/1*(5 + -4). Suppose 3*w + 28 - p = 0. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 33*i**4 - 15*i**2 - 4. Let o(m) = -32*m**4 + 16*m**2 + 3. Let c(s) = 4*o(s) + 3*z(s). Find the third derivative of c(b) wrt b.\nAnswer: -696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, q: 8, l: 3}. Give prob of sequence tltq.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 836.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 16) in base 6?\nAnswer: -32244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8*-1)\/(-1))\/((-28)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g - 178. Determine m(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4008 is divided by 757.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106334, 212668, 319002, 425336?\n\"Answer: 106334*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1026 + 352 = -2*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 75. What is the first derivative of -12 + k*y**3 + 8*y**3 - 16*y**3 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.01128mm to meters.\nAnswer: 0.04201128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 25*y - 102. Give v(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 4*j + 18 = 8*v, 4 = v + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 13 = 17*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(3\/10)\/k)\/k)\/(k\/k**0))**(-39) assuming k is positive.\nAnswer: k**(1053\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -124814 and -0.4?\nAnswer: 124813.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.77 - 2.77. Let h = 76 - 140. Which is the third biggest value? (a) o (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74 and -0.09459?\nAnswer: 74.09459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25919 or -25923?\nAnswer: -25919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (0 + 7 - (-9 + 15)). Let g = 9 + -4. Suppose 2*n - 20 = -d*n, 4*h + g*n = 424. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = 5*n - 150, -n + 5*u = -8. Suppose -9*p = -10*p + n. Solve -4*w + 13 = p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3532613, -3532617, -3532625, -3532637, -3532653?\nAnswer: -3532673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*r - 2 + 4 - 3 + 5 - 1 in the form z*r + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4439 is divided by 2218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19388 - -19387.0949. What is h rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12430 is divided by 438?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Let q = 118 - 113. Suppose -2*f + 1 = -a, -3*f - 5*a = -0*a + q. Solve f = s + h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzzzzqzezjzzzzedzq. What is prob of sequence jz?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21.0144374 and -0.1.\nAnswer: -21.1144374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -580356 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 20*y - 26. What are the prime factors of i(-12)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(77)\/(sqrt(11) + sqrt(110)\/(sqrt(10)*-4)) - (sqrt(7) + -5*-5*sqrt(7) + (1*(sqrt(49)\/sqrt(7) - sqrt(7) - sqrt(7)))**2))*4.\nAnswer: -296*sqrt(7)\/3 - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 3*j - 12*j + 23*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o = 5*h - 8, 3*h - 4 = -2*o. Suppose 0 = g - 6*g + 5, -y + 4*g + 81 = h. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406768 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -25. Let h = -1489.8 + 1491.8. What is the second biggest value in -1\/5, -4\/41, h, o?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2251\/4 + 563. Which is the third smallest value? (a) -4 (b) 3\/5 (c) 2\/25 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 208e5 - 5?\nAnswer: 208e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18*3\/(-15) - -3. Which is the second biggest value? (a) d (b) 3\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w + 5*w**2 + w**3 + 1 + 0*w**3 - 5. Let x be z(-4). Let s = 4 - 13\/3. What is the smallest value in s, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**6\/135 + m**5\/30 + m**4\/27 - 16*m. Factor c(n).\nAnswer: 2*n**2*(n + 1)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 + 41716*t + 26263152 = 0.\nAnswer: -9756, -673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120181644?\nAnswer: 2, 3, 11, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let r = 26 + -14. Let d be r\/k*(-2 + 3). Solve -3*i = 2*n - 3, n - 4*i = -3*n - d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341266365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/37? (a) 1\/37 (b) -1\/10 (c) 4 (d) -17 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 523911944 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from hhwhwwhwwwwwuwwwwwhw.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -100003024 (base 5) in base 15?\nAnswer: -7acc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b - 2*b**5 + (0 - 2 + 3)*(-2*b**2 - 4*b**2 + 4*b**2)*(1777 - 939 - 993)*(4*b**2 + 5*b**3 - 11*b**2 + 8*b**2).\nAnswer: 1548*b**5 + 310*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -261 - -102. Let c be ((-48)\/10)\/(-6) + n\/(-120). Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, -3\/2, 2\/3, 18, -36 in ascending order.\nAnswer: -36, -3\/2, -1, 2\/3, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 7*k - 6. Let f(v) = 5*v**2 + 35*v - 31. Let q(i) = 2*f(i) - 11*x(i). Let u be q(-6). Solve -2*j - u = s + 3*j, 4*s = 4*j + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3\/7, -2, 213?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Let y(m) be the third derivative of 0*m**3 + 0*m**4 - 1\/30*m**5 + 0*m + 5*m**2 + 0. What is c(y(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5608876 and 84?\nAnswer: 16826628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/7 + 389629*l**3\/7 - 50603715756*l**2\/7 + 2190769798059504*l\/7 - 2190719194733376\/7.\nAnswer: -(l - 129876)**3*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15235441 - 202.007\nAnswer: 15235238.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + 3 + -3 + sqrt(200) - (sqrt(200) + (sqrt(200) - (-4 + sqrt(200) + (-1 + sqrt(200) - sqrt(200))))))**2.\nAnswer: -200*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, h: 1, u: 4, b: 2}. What is prob of sequence jhb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592397?\nAnswer: 13, 45569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and 1.1137?\nAnswer: 44.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*c + 4629, c = 5*v + 1866 - 7666. List the prime factors of v.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 2, 65, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d + 24. Let x = 0.05952 + 0.44048. What is the second biggest value in x, -4, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2097 - 2097. Let j(n) = n**3 + 9*n**2 + 8*n - 1. Let m be j(-8). Which is the nearest to m? (a) -4\/7 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + 441. Suppose -3*i = -4*i - 5*g - s, -1612 = 5*i + 4*g. Let b = 259 - i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -5, -4, 1, -3, 15418 in ascending order.\nAnswer: -5, -4, -3, 1, 60, 15418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhtjhtthctppjh. Give prob of picking 1 h, 1 j, and 1 p.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -16628401.953.\nAnswer: -16628406.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*i - 2*g, 5*i - 4*g - 100 = -2*g. Suppose -22*c + 4 = -i*c. Solve -9 + c = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51122.\nAnswer: 2, 25561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*b**3*j*n**2 + 4*b**3*n**3 + 3*b**2*n**3 - 5*b*n + j*n**3 - 3*n**3 with respect to j.\nAnswer: -77*b**3*n**2 + n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -216, -338, -476, -636, -824, -1046?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -17, -45, -87?\n\"Answer: -7*n**2 + 7*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4*(-4)\/5. Suppose -3*l + 5*b - 7 = 0, -7 = -4*b + 1. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3087\/(-12))\/((-3)\/36). Let c = -397001 - -1575715\/4. Let x = c + i. What is the common denominator of -11\/5 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {v: 1, s: 3, y: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbabbbbbbb.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 + 2*w**2 - 2*w**2. Let v(p) = p**2 + 3*p + 3. Let y(g) = 4*g**2 + 10*g + 10. Let r(n) = 10*v(n) - 3*y(n). Determine r(d(q)).\nAnswer: -50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/60 + h**4\/24 - h**3\/3 + 2*h**2. What is the remainder when w(-4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*3*1*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120133322*u**2 - 2*u - 8410016 with respect to u.\nAnswer: -240266644*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(125) - (sqrt(125) - (0 + 2 + sqrt(125))) - ((-3*(-1 + sqrt(125)) - (sqrt(125) + 1 + -4)) + -4))**2 + -1.\nAnswer: -150*sqrt(5) + 3133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 4*w**3 + 5*w**3 + (w**2 - 4*w**2 + 2*w**2)*(0*w - 3*w + w) + 3*w**3 + 3*w**3 - 7*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8296*l - 8 - 4153*l - 4143*l + 8*l**2 + 49*l**2.\nAnswer: 57*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 57, 2, 4 in increasing order.\nAnswer: 2, 4, 20, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 56, -36, 1, 2, 8 in ascending order.\nAnswer: -36, -6, -3, 1, 2, 8, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j + 12*j + 31*j.\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 367 and 8.\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -873919.34 rounded to the nearest one thousand?\nAnswer: -874000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1194 + 40.8806. Sort -4, h, -5, -1, -2\/9.\nAnswer: -5, -4, -1, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2. Let a be -9 - -12 - 9*-1. Let h be (a\/15)\/(8\/20). Let d(c) = -3*c**2 + 11*c**h - 6*c**2. What is d(g(w))?\nAnswer: 392*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7768? (a) 5 (b) -2\/7 (c) -40 (d) 3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + q + 44 = -3*q, 5*q = 0. Calculate the remainder when 87 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/(-234) + (-54722)\/(-6) a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 11*d**2 - 2*d - 343. Give k(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10211 + -11?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.03 - -7.037852. Let o = l - -0.09214672. Let z = 0.1 - o. Round z to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 63. Let z = 28 + f. Let u = 24 + -16. Calculate the lowest common multiple of u and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111042244 (base 5) to base 15\nAnswer: -9954e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 345694.037 and 1.56.\nAnswer: 345695.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 11\/((-1)\/(-1)). Suppose 0*j - 24 = -q*j. Suppose -160 = -c - j*c. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 334 = -1046. Is 42 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/20 - 7*c**4\/12 - 7*c**3\/3 + 17*c**2\/2 + 8877*c. What is q(9)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 37*m**2 + 2*m - 78. Let c be s(37). What is the third smallest value in -1, c, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -5, -10, -35, -92?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 11. What is the remainder when d(0) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/60 - 2*o**3\/5 + 18*o**2\/5 - 11*o. Factor i(r).\nAnswer: (r - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17860 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32157, -32201, -32247, -32295, -32345?\nAnswer: -32397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625 and 66735250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 136*o**2 + 7*o - 3. Let i be x(3). Let m = i + -850. What is the least common multiple of m and 20?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889626?\nAnswer: 2, 3, 67, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180\/(-21)*(-3)\/((-3)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + 2*u - 2*u)*(377 - 120 + 253 + 320) as c + i*u and give i.\nAnswer: 2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -335411095 times 0.2\nAnswer: -67082219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166939757.\nAnswer: 19, 462437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x**3\/2 + 26684037*x**2\/2 - 17789376*x + 5929794 = 0.\nAnswer: -988299, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 64?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/561 + 742\/1683. Let o be (17 - 2226\/132)\/((-3)\/4). Which is the nearest to u? (a) -2\/9 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4756 + 13*h - 995 + 5752.\nAnswer: 13*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54 and -7050743829?\nAnswer: 7050743775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/15 + -3 + 4\/(-6). Let m be (u\/6 - -4)*36. Let s be -5*((-6)\/3 + -1). What is the greatest common factor of s and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004640929 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**3 + 0*y**3 + 5*y**3 - 3 - 6*y**2 - 6*y. Let s be w(-5). Let c(v) = v**2 + 6*v**s - 4*v**2 - 1 - 4*v**2 - 6*v. Give c(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -4, 5, -1.2, 4, -0.265?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**6\/5 + 16*c**5\/5 - 92*c**4\/9 - 128*c**3\/3 - 48*c**2 + 6*c. Solve u(y) = 0.\nAnswer: -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.3 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 23*i - 53. Suppose 2*x + 4*z = 3*x + 17, z + 27 = -x. Let b be n(x). What is the second smallest value in 74, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206952 is divided by 189?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:40 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2\/8)\/(1\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 2*m, 0 = 2*g + 2*m + 2. What is the common denominator of 299\/598*46\/(-12)*2 and g - ((-74)\/10 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 26*b + 25*b - 26513 = 0, 5*m - 4*b - 33133 = 0. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 14 = -3*c + 1, 3*c = -2*t + 2. Solve 37*z - 2*v + 14 = 40*z, c*v = -z - 2 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 5*g - 19. Let b(n) = n**3 + 6*n**2 - 7*n - 8. Let v be b(-7). What is z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25244 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 11. What is m(15)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -13.2. Let n = m - -12.6. Let y = -5 + 11. Which is the second biggest value? (a) n (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -10.\nAnswer: -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 352669004 to the power of 1\/2, to the nearest integer?\nAnswer: 18779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Let k = 0.3 + 9.2. Let q = k + -9. Which is the biggest value? (a) f (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 129, 0.5, 0, -4\/3, 2, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + i - 1 + (2 + 0 - 3)*(-3*i + 0*i + i) + 5*i + 2*i - 3*i + 3*i + 4*i - 5*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 83559 (base 10) to base 7\nAnswer: 465420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -25. Solve 4*v - 2*v - g = 3*r, 0 = r - 5*v + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {u: 2, w: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -797.88 and 141172.\nAnswer: 140374.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:19 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-6)\/u)\/(u**(-7\/5)*u*u))**(1\/57))**(-38\/3))**(-47\/5) assuming u is positive.\nAnswer: u**(-1034\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55870 > 167611\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169174 - 449854 = -11695*p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26742198 divided by -5?\nAnswer: -26742198\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*f)*(-2 + 1 - 1) + (0*f - 5*f + 2*f)*(1 + 2 - 4) to the form b + w*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 16068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 355.22958 at most as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/2416 + -167903\/7248. Suppose m = 2*m + 12. Calculate the common denominator of m and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(1248\/160)*(-2)\/(-2)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)\/(3\/(-105)). Suppose -5*d + 16 = 1. Let x be d\/5 - 16\/j. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2826038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/35 - -13\/770. What is the common denominator of h and -79\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13488568.6 rounded to the nearest ten thousand?\nAnswer: -13490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from kgbgbgmmggxxggbkbx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005006 rounded to six dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/3 + 62328*m - 747952\/3 = 0. Calculate m.\nAnswer: -186988, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 213555454 (base 6) to base 8\nAnswer: 16460132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let q be (z - 1)*1\/2. Let t = -9.57 + 9.67. Which is the third smallest value? (a) t (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffq. Give prob of picking 2 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96658*v**3 - 53714*v**3 - 5*v**2 + 6*v**2.\nAnswer: -150372*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + 6*q - 1. Let o be r(5). Put -2, o, 5 in decreasing order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11404229 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144193 is divided by 93.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22.31 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4 = -p. Suppose -p - 8 = 4*l. Let y(t) = -99*t + 10. Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = -4*d + 20*q - 14, 4*q = -4*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.56 - -0.06. Let h = -3 + 0. Which is the smallest value? (a) t (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 148. Determine w(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137322 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -1 - (-65 - -60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 499, 1005, 1501, 1981, 2439, 2869, 3265?\n\"Answer: -r**3 + r**2 + 510*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44516657 is divided by 8903329?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v + 3. Let z(x) = 6*x - 1. Suppose -i + 6 - 1 = 0. Suppose -5*p + 0 = 5*w - 15, -p + 3 = -w. Suppose w - 20 = -i*l. Calculate l*t(b) + 11*z(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 8*w. Let r be n(7). Let u be (36\/(-14))\/(9\/r). Suppose 0 = -4*y - u, 0*m - 67 = -2*m - y. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -28. Let h be (15\/(-4))\/(6\/4). Which is the third biggest value? (a) r (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 8083 (b) -17 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286388 or -136?\nAnswer: -286388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1847594?\nAnswer: 2, 7, 17, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 639\/9725 + -10\/389. Let t(j) be the second derivative of 0 + 2\/15*j**4 + 8\/15*j**3 - w*j**5 + 2*j - 1\/75*j**6 + 0*j**2. What is u in t(u) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51552808 is divided by 3438.\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 7*i**2)*(3*i - i + i) to the form p*i**2 + w + c*i**3 + f*i and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 2*s**2 + 3*s**2 + s**3 + 0*s - 2. Let r be ((-6 - -4) + (-48)\/(-27))*-9. What is the lowest common multiple of c(r) and 26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*r - 86*r - 1082 + 1081.\nAnswer: 40*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-14)*(-1 + 1). Suppose -a - 3 = -s, s + 5*a + z*a = -21. Let p(y) = -y**2 - y - 1. Let u(f) = -4*f**2 - 5*f - 6. What is s*u(j) + 5*p(j)?\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q**2 - 2*q - 1. What is b(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 58.2?\nAnswer: -58.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -4*f + 40. Sort 72, f, 2\/7 in descending order.\nAnswer: 72, f, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*u = 448*u - 801 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 - 9*y**2 + 3*y + 7. Let t(u) = 16*u**3 - 46*u**2 + 17*u + 35. Let p(m) = 11*i(m) - 2*t(m). Factor p(f).\nAnswer: (f - 7)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*d**4 - 1494472*d**3 + 6835520*d**2 - 3417984*d = 0. Calculate d.\nAnswer: -53406\/7, 0, 4\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-91)*-7)\/(-18)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 3\/((-15)\/50) - -182?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-3\/4))\/d*d**(2\/13))\/(d**(-2\/5)\/(d*d**(-5)))*((d*d*d**(-7))\/d**(1\/6))**0 assuming d is positive.\nAnswer: d**(-441\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x**2 - 37*x**2 - 16*x**2)*(-1 + 3 - 1 + (-5 + 4 - 1)*(-2 - 1 + 4)).\nAnswer: 67*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -301, 562, 1997, 3998, 6559, 9674, 13337, 17542?\n\"Answer: -c**3 + 292*c**2 - 6*c - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*m + 245*m + 3*p + 2305 = 59*m, -3*p = m + 16 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2506*g = -1890*g + 2034 + 9054 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336080 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 5*y - 23, 5*j = -5*y + 85. Calculate the least common multiple of 9 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 44*c**3 + 6*c**2 - 659*c + 1294. Calculate v(2).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + q**2 + 48*q - 71. Let g(o) = 17*o**3 + 3*o**2 - 2*o + 1. Calculate the remainder when g(2) is divided by w(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1654 + -1654. Let w(q) be the third derivative of 12*q**2 - 1\/2*q**4 + 0*q**3 - 7\/60*q**6 + 0*q**5 + f + 0*q. Find the second derivative of w(j) wrt j.\nAnswer: -84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let r(m) = -m + 1. Calculate -4*q(s) - 3*r(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22682308 divided by 515507.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 0*t - 2*t - 1)*(-2 + 3*t**2 + 0 - 5*t**2).\nAnswer: -4*t**3 + 2*t**2 - 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbb. Give prob of sequence bb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4347383.\nAnswer: -4\/4347383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -s - 2*h, s - 4*h - 28 + 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1197 and -8\/63.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 16) in base 4?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.1. Let l = 113\/3 - 1475\/39. Put 5, o, l in decreasing order.\nAnswer: 5, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2295.2*-14.\nAnswer: 32132.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - n**2 - 2*n - 2. Let j be m(-1). Suppose 13*s - 10*s - 12 = j. Solve 0*g - s*g + 0*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92.7631 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 9:54 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkjkkkkkjkkkkj. What is prob of picking 3 k?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**7\/735 - m**6\/140 - m**5\/105 - 17*m**2. Factor n(y).\nAnswer: -2*y**2*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:24 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -210*i**2 - 167*i + 4. Let g(l) = -42*l**2 - 33*l + 1. Let v(b) = 11*g(b) - 2*h(b). Let k be v(3). What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.91722 rounded to two dps?\nAnswer: -117.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.396 - 0.596. Let r = -1 + 1.4. Let q be (-49)\/(-65) - (-4)\/(-26). Which is the second smallest value? (a) r (b) 2 (c) o (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 143. Let d be n(-19). Find r such that 22*r**5 - 6*r**5 - 10*r**5 - 5*r**5 + d*r**3 - 11*r**2 + 75*r**2 - 15*r**4 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*b + 51 + 179 = 75*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 0, -v + 5*k = 2*v - 18. Suppose 0 = 2*q - 0 - v. Suppose 0 = q*b + b. Solve b = -j - 3 + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -37, -57, -91, -145, -225, -337, -487?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {e: 1, t: 1, b: 1, f: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2*m)**(-7\/6))**45*((m*m**(2\/15))\/m*m**(-8)*m)**21 assuming m is positive.\nAnswer: m**(-3017\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.025 - -0.025. Let m(l) = -l + 3. Let k be m(5). Let g be (-1)\/(-3)*(4 + k). Which is the third smallest value? (a) j (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.746415728 to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58038 + 120311. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7122 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:02 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/16)\/((-1)\/(12\/(-51)) + -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - (6 + -6) - (-29 - -5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000112876 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2 and -87\/24434.\nAnswer: 24434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 463 or 462?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7084 = -4*l, -l + 3*t + 1593 = -195. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 divided by 115080?\nAnswer: -59\/23016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Let q = h + 17. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let q be 1\/c - 105\/(-28). Solve -3*b = -7*b + q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i)*(24 - 24 - 25*i**2) + (-4 - 2*i**3 + 4)*(9 - 4 + 8).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -88126638 from 18.\nAnswer: 88126656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/9 - 2273*d**2\/9 + 2270*d\/3.\nAnswer: d*(d - 2270)*(d - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0 + 4*b**3 + 13*b**3 - 7. Suppose -j = 6, -4*j + 157 - 146 = 5*x. Let v(d) = -9*d**3 + 4. Determine x*v(n) + 4*m(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c + 4. What is i(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1573) + sqrt(1573) + 1)*1 - (-4 + sqrt(1573)*-1))**2 + 5.\nAnswer: 330*sqrt(13) + 14184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 4*t**2 - 5*t + 1. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 234*t. Let n(h) = 21989*h. Determine q(n(y)).\nAnswer: 5145426*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.14376627 * -11\nAnswer: 1.58142897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19411101 and 388222020.\nAnswer: 388222020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -1\/9 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(-2*((sqrt(539) + sqrt(539) + -3)**2 + sqrt(539)) + sqrt(539)*-5 + -4).\nAnswer: -26008 + 714*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93848074, -93848073, -93848072, -93848071, -93848070, -93848069?\n\"Answer: r - 93848075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2213020?\nAnswer: 2213022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 + a + 1. Let s(g) = g**3 - 3*g**2 + 5*g + 6. Let z = 74 + -29. Let q = -48 + z. Give q*w(o) + s(o).\nAnswer: -2*o**3 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 16, 0.2, 0.02, 36, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/15 - 494\/(-780).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n**19*n*n)\/n)\/n)\/(n**(-5)*n)*(n*n**(-2\/25)*n*n)**25 assuming n is positive.\nAnswer: n**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8701 - -3610. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbum. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:20 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35920 - 5 - 42099 - 38124 - 29310)*(3*x**4 - x**4 - 5*x**4) in the form r + j*x**3 + a*x + n*x**4 + y*x**2 and give n.\nAnswer: 436374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + -1.1. Which is the nearest to 0.1? (a) -1\/8 (b) -7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = -45*v + 2251. Calculate the highest common factor of v and 23982.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779771525?\nAnswer: 5, 13, 2399297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11545377869381 from 0.8.\nAnswer: -11545377869380.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 12, -5 in ascending order.\nAnswer: -5, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 101772517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(6\/7)\/s*s)\/s)\/s*s*s*s\/(s\/s**11)*s*s**(-2\/39)*s**(-2\/41) assuming s is positive.\nAnswer: s**(142790\/11193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 27 + 10 + 23 - 2*q as r + k*q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37\/(-2))\/(2\/(-12)). Suppose 5*o - 420 = -4*j + w, 3*j + o - 401 = 0. Suppose 13*d = 685 - 243. Calculate the remainder when j is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 132 - 14 - 10*x - 4*x + 5*x + 2*x**2 + 3*x**3 + 5*x in the form n*x**3 + k*x + r + a*x**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.03 times -0.28?\nAnswer: 24.0884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (25 - (-25 - -23)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 555\/222 + (-5)\/2. Solve g = -3*v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-5) + (-10)\/(-25). Sort n, -4, 74 in descending order.\nAnswer: 74, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345663 times 1228?\nAnswer: -424474164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*18\/(1440\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 - -191. Let b = 246 - z. Calculate the remainder when b is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7347 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**6\/360 + 4*r**3\/3 - 9*r. Let z(y) be the second derivative of n(y). Let v(f) = -5*f**2. Determine z(v(c)).\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:12 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -203.62 or 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 9. Let p be q(-3). Suppose 2*i - 212 = -p*i. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, s: 3, q: 1, a: 1}. What is prob of sequence id?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 < -1667\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 24*a - 42 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 27 = i - 10, 2*y - 5*i = -3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1197*b + 298053. What is x(249)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-6)*(-8)\/6. Suppose 0 = -0*h + 2*h + 5*a, a = y*h + 24. Let v be h\/(-12)*9\/(-30). Do 3\/4 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 2, 1280, 1 in increasing order.\nAnswer: -4, -2, 1, 2, 1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnlnnlnn. What is prob of picking 4 n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 7*v - 4. Let o = -11 + 15. What is the remainder when 14 is divided by w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10527 and 8787.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 938328\/11 + -85229. Let h = 3347\/66 - s. Calculate the common denominator of 2\/9 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1519 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 73, 97, 119, 139?\n\"Answer: -k**2 + 29*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose -2*k = -3*k. Is 0 - (k\/a + -85) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3086*n + 21675. Let k be z(7). Solve -61*a + 110 = -k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r - 28. Let k be i(3). Solve 3 = -3*a + 4*o, 4*a - k*o + 4 = -4*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97574094 is divided by 2668?\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5\/3 + u**4\/2 - 29*u**3\/6 + u**2\/2 + 25*u\/6 - 1 = 0.\nAnswer: -3, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*c + 26, x = 3*c - 212 + 173 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1) + (0 - (-8 + 17 + 7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0.3. Let g = 0.2 - f. Let z = -0.23 + g. Round z to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -452*b + 230*b + 226*b. Suppose 3*i = -2*i + 25. Let n be s(i). Solve 3*d + 3*t = -2*d - 25, -t + n = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 202.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240 - -240.1. Which is the closest to 1? (a) 0.01 (b) z (c) 3\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 + 1.69. Let l = -0.110072 - n. What is l rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 75 = -c. Let t be -2 - (1*c)\/3. Suppose -2*j = -j - t. Solve -z = g - j, 0*z + 2 = 3*g - 4*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = -3*c - 807 - 840, -26*c + 4*y + 362 = -28*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 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: What are the prime factors of 1256082154?\nAnswer: 2, 628041077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p)**(-2\/5)*(p**0)**37 assuming p is positive.\nAnswer: p**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -534 - 115?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)*d\/d**(-3\/7))\/(d**(1\/3))**(7\/10) assuming d is positive.\nAnswer: d**(167\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -250 (base 8) to base 13\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 - 2*z - 1. Let s(i) = i**2 - 7*i + 4. Let c be s(5). Let n(o) = 2*o - 12. Calculate the remainder when a(c) is divided by n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 620\/14 + 16\/(-56). Suppose -4*k + 8*k = i. Let s(v) = -9 - 4*v**2 + k - 2*v - 5. What is s(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = 64*j + 248 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 8857*a. Let h(m) = -6*m**2 - 12. Determine b(h(i)).\nAnswer: -36*i**4 + 52998*i**2 + 106140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 18*n - 239. Suppose -1491 - 373 = -4*x. Calculate the remainder when x is divided by m(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 1\/2 (b) 20 (c) -3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/720 and 73\/32?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 102. Suppose -4*f = -q - 0*q + 61, -5*f + 25 = d. What are the prime factors of 1\/(3\/6) + q + 6?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**2 - i - 5. Let y be f(-6). Let l = y - -335. Solve -l = -6*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7))**45 assuming b is positive.\nAnswer: b**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13855 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = -3*i, -5*m - 20 = 2*i. Let q(r) be the second derivative of 3*r**5\/20 + r**4\/4 + r**3\/6 + 57097*r. Determine q(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3117 and 3.\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 17 = 82*k - 78*k, -5*k - g = 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/4*8\/10. Let r = -49 - -53. Let m = 0 - 0.1. What is the nearest to m in r, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + -70. Is (-3 + 2)*(4 - (o + 0)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 + 2*f**2 + 2 - f**3 + 2. Let s(k) = -24*k**3 + 11*k**2 + 21. Let u(z) = -11*l(z) + 2*s(z). What is the tens digit of u(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 10*n**2 + 9*n - 8. Let j(g) = -2*g**3 + g**2 - 1. Let m(b) = -2*j(b) - z(b). What is m(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w + 4. Let b(m) be the second derivative of 0 + w*m + 1\/6*m**4 + 0*m**2 + 0*m**3. Let o(h) = -3*h. Determine o(b(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, 0.68, 611.\nAnswer: -23, -4, 0.68, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1128*t - 56 = -1136*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1172 + 1172. Solve 8*t - 102 + 142 = l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27851 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 60, 73, 92, 117?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l - 6860 = -176*l - 114*l for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 13. Calculate the remainder when 55 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2*s**3\/3 + 12*s**2 + s + 847. What is b(-13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 8\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9404 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*(sqrt(70) - ((sqrt(70)*-3 - sqrt(70)) + sqrt(70))) - sqrt(70)))\/(sqrt(360)*4 + sqrt(810) + 2*sqrt(810)).\nAnswer: 35*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 718 - 4369. Let l = v - -3652.989. Let k = l - -0.011. Which is greater: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*b - 2*j, -2*b + j + 5 = -10. Suppose -b*g = -107 + 27. Let y = 20 + -12. Calculate the greatest common factor of y and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 73, -2, 5, -9, 3\/7, 76, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001132 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2230 (base 8) to base 11\nAnswer: 97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 5, q: 1, n: 3}. Give prob of picking 2 n and 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5784738 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 64*t**3 + t**2 + 2*t + 1. Calculate r(-1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.1169l to millilitres.\nAnswer: 627116.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 254*v - 6257. Give t(32).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (7 - 7))\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:33 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1696653 divided by 6.\nAnswer: 565551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -d - 3*m, 4*d - m = 8*d - 3. Solve -d*w + 6 + 0 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*t - 9, 4*c + 4*t - 4 = 6*t. Suppose -c*v + 3 = -0. Calculate the least common multiple of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + y**2 + 4)*(4*y - y - 2*y) + (-15*y + 0*y + 9*y - 67*y)*(-19*y**2 + 4*y**2 - 6*y**2).\nAnswer: 1534*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6062 - 3?\nAnswer: -6065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-31 + 31 + 3*x) + x - 5*x + 2*x - 3*x + 4 - 4 to the form u + i*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -3) + 15 + (212 - 177 - 25).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(39\/2)*(-6)\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x + 60. Let a(d) = 6*d - 61. Give 4*a(n) + 3*y(n).\nAnswer: 3*n - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 888.7604 decades?\nAnswer: 8887.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450649 is divided by 9388?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*p**3 + 18156628*d**3*p**2*x - 2*d**2*p**3*x + 156*d**2*p**3 - 10*d**2*p**2*x - d**2*p*x - 23*d*p*x + d*p wrt d?\nAnswer: 6*p**3 + 108939768*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*4*sqrt(1100)*-2)**2.\nAnswer: 91238400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*h**4\/5 + 12*h**3\/5.\nAnswer: -h**3*(13*h - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, r: 3, s: 4, w: 7}. What is prob of sequence rrr?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (290\/435)\/((-3)\/(6\/4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005266 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -6*a**7\/7 - 7*a**6\/15 + 3331*a**3\/6 + 2510*a. What is the second derivative of n(g) wrt g?\nAnswer: -720*g**3 - 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2895 + 11581\/4. Let q = -3.98 + -0.02. What is the nearest to -1\/3 in -4\/5, u, q?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -34 + 44. Let x(i) = i + 4. Give x(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2731002, 0, -5, 60 in descending order.\nAnswer: 60, 0, -5, -2731002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*d + 9, -3*o + 21 = 3*d - 6*o. Solve -2*n - d = -13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10455419, 41821692, 94098821, 167286812, 261385671, 376395404, 512316017?\nAnswer: 669147516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -146.4 and 372107606.\nAnswer: 372107459.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 19 + 214*t + 43 - 8.\nAnswer: 214*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43552*r**4 + 105485*r**2 wrt r?\nAnswer: -1045248*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 287*r**2 - 206*r + 22. Is q(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.145.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (10 + -5 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 426, 891, 1350, 1803, 2250?\n\"Answer: -3*q**2 + 474*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from tztiooivtqiiiiv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110001 (base 2) to base 13.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*((-6048)\/(-720) - 16\/2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -2445*a**4 - 3*a**3\/2 + 28*a**2 - 38*a + 2. Let f be g(24). What is f rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27631 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2508, -18, 11, -2 in decreasing order.\nAnswer: 2508, 11, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-204) - 1534\/(-34). Suppose 5*c + 20 = k, 3*k + 5*c + t = 5*k. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, s: 15}. Give prob of picking 2 s.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -38586.\nAnswer: -38586.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437 and 14707577?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35933 or 2?\nAnswer: -35933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*z - 13 - 2, 4*z - 28 = -2*m. Suppose 4*n = -3*i + 19, -2*i + 0*n = -3*n + 10. What is the highest common divisor of i and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 35 = 4*l. Let k(n) = -n - 5. Let z be k(l). Solve -2 - 6 = -z*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*h + 11847 = -57450 + 11376 for h.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-26)\/390)\/((-85)\/(-59925))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2. Let s = -13 + 16. Let o(x) = s*x - 2*x + 3*x. Determine o(c(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41401 is divided by 5174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 82.\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-16)\/208*(-70)\/(-50).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (4 - (-5 - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 = 4. Let g = 1 + h. Solve -22 = 5*c + 3*d, 22 = -3*c - g*d + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -20\/1944221?\nAnswer: -20\/1944221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbbz when four letters picked without replacement from {d: 2, z: 1, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/23 or 6\/29?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1412, -5616, -12614, -22406, -34992, -50372, -68546?\nAnswer: -89514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*h*m*o**2*v + 3*h*m*o*v + 2*h*o*v + 3*h*o + h*v + m*o**2 + 6*m*v + 3383*o**2*v - 327*o*v wrt o.\nAnswer: -256*h*m*v + 2*m + 6766*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*h - 2 = 0, -5*h - 5 = s + 2. Let n(f) = f**3 - 4*f**2 + 3*f + 2. Let c be n(s). Solve c*u + 7 = 3*k, -2*k + 6*k + 5*u + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from lycolkllocc?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x - 6*x**2 + 37723 - 37693 + 23*x**2. Is 23 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -220 + 218 - (-7)\/3. What is the closest to w in -9, -1.01, 2?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 105*q**2 - 33*q - 33. Let y(a) = 13*a**2 - 4*a - 4. Let f(v) = -v**2 - 17*v - 37. Let d be f(-10). What is d*y(c) - 4*w(c)?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001503 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - 10011?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/9 - 767\/90. Let z = -186145\/12 - -15501. Calculate the common denominator of z and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/3 - 9968306*q\/3 + 24841781127409\/3 = 0.\nAnswer: 4984153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 4*k)*((-5 + 4*k + 5)*(4 - 1 - 2) - 3*k + 0*k + 6*k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*f - 13. Let u(n) = n + 6. Give u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hha when three letters picked without replacement from {a: 8, h: 5}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158)\/42660*-360*125*(-3)\/(-4)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9167*i + 503*i + 1348*i - 2168*i + 3183*i as s + g*i and give g.\nAnswer: -6301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 65*s + 35. Let w be r(-19). Which is the closest to w? (a) -2 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71986, -143976, -215968, -287962?\n\"Answer: -r**2 - 71987*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 665 + 1?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -73, -180, -309, -442, -561?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 112, 153, 214, 301, 420?\n\"Answer: q**3 + q**2 + 17*q + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 5*i + 2. Let v(w) = w. Let q(b) = -l(b) - 6*v(b). Let h be q(-2). Let c = -94275 + 94273. Put h, 2, c in increasing order.\nAnswer: c, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6762 and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/13 (b) 0.13 (c) -8 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.3, 4, 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Let f(q) = -3*q**5 + 4*q**4 - 6*q. Let k(d) = -7*d**5 + 9*d**4 - 13*d. Let r(v) = a*k(v) - 9*f(v). What is the second derivative of r(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let h(s) be the second derivative of 0*s**2 + 0 - 7\/4*s**4 - 33*s + 0*s**3. Let d(g) = -3*g**2. Calculate h(d(b)).\nAnswer: -189*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a062d3 (base 15) to base 12.\nAnswer: -2672760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64294 divided by 31.\nAnswer: -2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 116. Let m be 1603\/(-49) - -3*(-4)\/42. Let p = c + m. Let s(d) = -d - 2. Calculate s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 4*a - 12. Let q(c) = -4*c**2 + 5*c + 15. Let y(f) = 5*m(f) + 4*q(f). Let l(n) be the first derivative of 3*n**2\/2 + 1. What is y(l(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + 20\/(-5) - 3. Suppose j + 17 = 4*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f - 3*b - 6, 4*f - 2 = -3*b. Suppose -2*c = -10 + 2. Solve -f*n = -2*z - 2 - c, 0 = n - 2*z - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 919, 922, 935, 964, 1015, 1094, 1207?\nAnswer: 1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2555 - -2551. What is the highest common divisor of y and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 + 4*w + 3. What is l(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131123000 (base 4) to base 10.\nAnswer: 382656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(187) + -1*(sqrt(187) + -1*sqrt(187) + sqrt(187)))\/sqrt(11))**2 + ((-1 + sqrt(17) + sqrt(170)\/(sqrt(40)\/sqrt(4)))*-2)**2.\nAnswer: -16*sqrt(17) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3, 3 + 6 = 4*g + b. Suppose -g*t - v + 16 = v, -v = 5*t - 36. Let p = t + -15. Round p to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 11) in base 12?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-40)*(-45)\/18)\/(4\/(-14)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 217\/4. Let y = -1355\/7 - -194. Let j = 7.1 + -7.3. What is the third biggest value in j, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5360000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93744.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 236*v + 0*v**2 + 5 - 230*v - v**2. Let q(w) = -w**2 + 5*w + 4. Let n = 6 + -2. Give n*j(z) - 5*q(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 + 1624*y. Let o(b) = b**2 + b + 2. Let k be o(0). Let s(m) = m + 12 - 2*m + 5 - k*m. Give j(s(t)).\nAnswer: -9*t**2 + 102*t - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16180 and 139957.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15569 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 14, q: 1}. Give prob of picking 2 i and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 2*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646\/(-1296) + 3 + -1?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (15 - -11)) + 2 + (0 - -57)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56050 and 2065.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*a**(-2\/3)))**(-1\/4)\/(a**(2\/7)\/(a\/a**(-1\/5))))**(2\/15))**(-10\/9) assuming a is positive.\nAnswer: a**(-419\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (1 + (-14 - -5 - -5) + 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 667113 or 667105?\nAnswer: 667105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**3\/7 - 38*q**2\/7 - 38*q\/7 + 12\/7 = 0. Calculate q.\nAnswer: -3, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8703.012 + 8667. Let g = u + 36. Let c = g - -0.012009. Round c to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*t + 2174 = 0, 1 + 1 = t. Suppose 2*h + j = u + 74, 2*h = -8. List the prime factors of u.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413.5 - -5\nAnswer: -408.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9100 and 20117552?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 44 - ((-53 - -86) + -5)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2. Let j(o) = 5*o**2 + 2*o + 2. Let f(m) = -135*m**2 - 55*m - 55. Let v(i) = -2*f(i) - 55*j(i). Calculate l(v(s)).\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.859 rounded to 1 dp?\nAnswer: -39.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 51*s**2 + 78*s - 45. Calculate b(24).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10\/103, 3\/4, 0.083853?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4408 - 1751. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 26. Suppose -8*l + 6*l - 8 = r. Let h be 4*l\/16*-6. Put 2, h, 3 in decreasing order.\nAnswer: h, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210767*k**3 + k**2 + 103301*k wrt k?\nAnswer: -1264602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629728.\nAnswer: 2, 11, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**3\/18 + 7*i**2\/3 + 10*i + 714. Determine y, given that a(y) = 0.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 8 = g - 82, -4*g - 14 = -b - 2*b + 41 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5961.9443 to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 32*k - 51. Let w be c(-14). Let s(f) be the third derivative of 0*f + 7*f**2 + 0 - 1\/4*f**3 + 1\/80*f**w - 1\/32*f**4. Factor s(q).\nAnswer: 3*(q - 2)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1444 - 605. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 42 = -6*t. Let f = -534 - -573. Calculate the greatest common divisor of f and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(288)*-5)\/(sqrt(576)*1*2))**2.\nAnswer: 625\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 - 125*c + 143. Let r be u(13). Put -1, r, -0.1 in increasing order.\nAnswer: r, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*1*sqrt(170))\/(6*(sqrt(250) + 4*sqrt(250) + sqrt(250)) + sqrt(250))*-6.\nAnswer: 36*sqrt(17)\/185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 84*m - 306. Let p be s(5). What is the greatest common factor of 54 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13687285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 35316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -80. Let n = -57 + k. Suppose 0 = -n*z + 123 + 105. Which is smaller: 37 or z?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 7*c + 4*c - 30, -15 = -o + 2*c. Suppose -2*v - 4*q + 85 = -5*q, 0 = q - o. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-45)*(-255)\/(-2). Let m = -82 - l. Which is the nearest to 2\/11? (a) -0.08 (b) m (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = b + 4, -2*b + 5*r - 26 = -81. Solve -b*j + 5 = -11*j - z, 4*j + 5*z + 23 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 35) + 22 + (-3 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z + 54 = -55*z. Let k = z - 49. Solve k*b = -4*w + 15, 3*w + 4*b - 12 = -0*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1)\/(2\/12*108\/288).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 21 + 40)*(-2*a + 0*a + 0*a).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by 131?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 81.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28621549 to the nearest integer?\nAnswer: 5350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 7, e: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -30, 2, 5 in descending order.\nAnswer: 5, 3, 2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -37. Which is the second biggest value? (a) 5 (b) 1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - 4*p**2 + 2*p**2 + (-2 + 2 - 3*p)*(2*p - 2*p + p) + (0*p**2 + 18*p**2 + 16*p**2)*(0 - 3 + 2) to d*p**2 + r*p + m and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1.95\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 12*l + 15*l - 4.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1383 and 17057.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide -6*4\/12 + 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + -3 + sqrt(176) + -1 + sqrt(176) + 2*sqrt(176) + -1 + (sqrt(176)*-1*3 - -2*sqrt(176)*1))**2.\nAnswer: -240*sqrt(11) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1543*b = 1544*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3906.\nAnswer: -1\/1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 868 - 229. Suppose -3*d - f = g, -4*d - 1798 - 790 = 4*g. What is g rounded to the nearest 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298687 or -0.8?\nAnswer: -298687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-1)\/(182\/(-286)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001822 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from chcc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:48 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 + -0.09. Let x = 2.4 - 0.4. Let o be -1 + (20\/(-18))\/(-1). What is the second smallest value in l, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 6:34 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-4830)\/92))\/((-2)\/28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020 - 12?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 456887*l**3 + 2*l**2 + 3. Let h be p(3). Let x = -20435970 + h. What is x rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 - 207656721\nAnswer: -207656719.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*b**3 + 4 - 5 - 6*b**2 - b**2 + b**2 wrt b?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 68*p - 79*p. Let i(s) = 5*s - 5 - 2 - 2*s + 0*s. Let x(g) = 2*g - 5. Determine p*i(d) + 7*x(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2601 by -10.\nAnswer: -2601\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*v + 81 = 0, 4*v - 48 = -4*t + 24. Let w = 19\/105 + -181\/420. Which is the closest to t? (a) -4 (b) 0.1 (c) w (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-90)\/(-12))\/((-1)\/26). Let b be (6\/(-6))\/(1\/h). Let j = b - -85. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -49.9. Let r = -3.1 + v. Sort 0, 0.3, r in increasing order.\nAnswer: 0, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115*(-1)\/10*-2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4419203221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 227608 >= 9331889\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {s: 1, l: 2, e: 2, y: 1, v: 5, q: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + x + 14 = 0, 2*x - 8 + 27 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -61. Is 25 a factor of ((-6)\/5)\/(t\/3055)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1771962, 1771963, 1771964, 1771965, 1771966?\nAnswer: 1771967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 + k + 5. Let q be w(5). Let b = q - 22. Let m be (-21)\/(-6) + (-18)\/b. Solve -4*n + 6 = -n, 0 = -2*d + m*n - 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6*n + 2*m**4*n - 113*m**3*n - 38*m**2*n + 2 wrt m?\nAnswer: -120*m**3*n + 48*m*n - 678*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + 0 + (sqrt(847) + 3 + ((sqrt(847) - (sqrt(847) - sqrt(847)*5)) + sqrt(847) - sqrt(847)) + -1*(1 + sqrt(847)))*-6))**2.\nAnswer: 237600*sqrt(7) + 27446400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/2000 + 187\/(-2992)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-6))\/(-4) - (-308)\/6. Let y = r - 54. Let h(l) = -l**2. Let q(x) = -9*x**2. What is y*q(c) + 14*h(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*a**2 + 16\/5*a - 32\/5 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 2*w - 2. Let j be a(-1). Let m = -1.96 + 2. What is the third smallest value in 3, j, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 414, 1477, 3548, 6963, 12058?\nAnswer: 19169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4612370 to the nearest integer?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 212, 485, 858, 1325, 1880, 2517, 3230?\nAnswer: 4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Solve -t = l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 3*g + (-1 - 2 + 4)*(9*g - g - g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-10))\/(i**(-1\/23)*i))**11)**(-2\/13) assuming i is positive.\nAnswer: i**(5038\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -361 + 360.992885. What is f rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3854 + -3?\nAnswer: -3857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 125 + 811. Does 52 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797716941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 29457843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -6 (c) 112 (d) -1 (e) -2\/3 (f) 2\/9 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 26. Let z be w(23). Let m(q) = q**2 - q + 1. Let g(j) = 4*j**2 + j + 5. Give z*m(c) - g(c).\nAnswer: -c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -4\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 6479 + 6449 = 0. Find i, given that 0 + 10\/9*i + 8\/9*i**4 + 26\/9*i**3 + 28\/9*i**s = 0.\nAnswer: -5\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 4.8.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + g**2 + 0*g**2 + (-g - 5 + 5)*(-4*g - 2*g + 5*g) + 39*g**2 - 101*g**2 + 48*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c + 294 = -37 - 812 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 530 - 518. Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -75, -169, -301, -471, -679?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -41 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53818615*k**4 - 60*k**2 - 11*k - 311 wrt k.\nAnswer: 1291646760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/161710 and -69\/6280.\nAnswer: 646840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-100)\/(-120))\/((-5)\/(-4)))\/2*(-48)\/52?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/8 + (-2 - -2). Suppose -5*z - 5*o = -160, -f*z + 4*z = 4*o - 58. Suppose -5*w + 4*m = -114, 5*w - 2*m + z = 147. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w**2 - 2*w - 3*w)*(3*w + 10*w + 5*w) as m*w**2 + b*w + v + c*w**3 and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 11. Let a(q) = -q - 5. Let r(y) = y - 3 + 5 + 2. What is f*r(j) - 6*a(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16381 + 16450. Solve h*t - 32 = 65*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39593, 39543, 39493, 39443, 39393?\nAnswer: 39343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56761 (base 8) in base 10?\nAnswer: -24049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 2*t + 52. Solve 0 = -c - t + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:14 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 11989168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194349 or 194348?\nAnswer: 194349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 4*u + 5*u + 2*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 8*s**2 + 2*s - 1. Let m be o(8). Suppose 19*q - m = 14*q - 2*g, -g = 2*q - 6. What is the highest common divisor of q and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/((-32)\/132) + 1. Let s be (-4)\/(-1)*104\/k. Let c(p) = -p**3 - 13*p**2 - 7*p - 16. Is 15 a factor of c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*r = 1562 - 562 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Let a(f) = 2*f**2 - 2*f + 2. What is a(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176909494 a multiple of 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l - l. Let k(s) = 6*s - 9*s**2 + 6*s + 25*s + 3*s - 42*s. Give u(k(g)).\nAnswer: -81*g**4 - 36*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -133.99996913. Round u to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3744.55 - -8356.52. Let c = l - 4643. Let g = c + 31. Which is smaller: g or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542638173 - 2*p**2 + 542638173.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -97. Let z be 2 - (-15 + b + 5). What is the greatest common factor of 29 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21955045?\nAnswer: 5, 7, 311, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176874 = -11*s - 30464. Does 85 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.29 - -27.6204. Let l = 5.7 - 6. Let f = s + l. What is f rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189350259 and 1335.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497954 is divided by 54.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y - 4. Let b(h) = -56*h - 21. Determine -4*b(j) + 21*s(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w - 8*w = -108. Solve -3*s + 4*s = 5, 5*m = -w*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/62 and -19\/18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o**2 + o**2 + 4*o**2)*(10 - 24 - 89 - 18) to w*o + d*o**2 + n and give d.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000173710343 to 7 dps.\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.7002575 - -57.7. What is s rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383942 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19948 - -60375. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(-3*z**2 + 4*z**2 - 3*z**2) + (4*z + 3*z - 4*z)*(-1 - 3 + 3)*(4*z + z + 5*z) to p + w*z**2 + i*z and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 - 3*g**3 - g**3)*(336 + 519 + 280)*(g - 3*g + g) as o*g**3 + s*g**2 + n*g + m + y*g**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339*w**4 - 375*w**4 + 369*w**4)*(44*w + 1 - 97*w + 49*w).\nAnswer: -1332*w**5 + 333*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -20540*k + 82162. Give t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + 52\/14. Let l(i) = 2*i + i - 3*i + t*i**2. Let x(b) = -2*b. Determine l(x(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times -30?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1702.8007 + 1692.8. Let t = n - -10. Round t to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(468) + -1)*5)**2 + ((sqrt(104) - (3*sqrt(104) - sqrt(104)) - sqrt(104))\/sqrt(8) - (-5 + sqrt(26)\/sqrt(2))).\nAnswer: -603*sqrt(13) + 11805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 11:05 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88.2112 and -4.\nAnswer: 352.8448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438687368, 877374737, 1316062106, 1754749475, 2193436844?\nAnswer: 2632124213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1789 divided by 25708\nAnswer: 1789\/25708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 345 = 3*a. Put a, 2, 7 in ascending order.\nAnswer: 2, 7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 - 23 + 10 + 13.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 411 = -28*n. Let q = n - -556. Is q 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 {r: 1, l: 1, b: 11}. What is prob of picking 2 b?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*f - 332878 = 141*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 16 = -2*y. Solve -y = 5*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566348.9l in millilitres?\nAnswer: 566348900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -406*m**2 + 10*m + 8. Determine r(-1).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6349\/72 - 698\/9. Suppose 3*p + 4 = 2*z, -129*p + 127*p + 2 = -2*z. Find the common denominator of n and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116251 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22297 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24357 + 36?\nAnswer: -24321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3 = -24*d + 28*d, 2*d + 4*m = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 4*f + 4*f)*((-1 + 0 + 3)*(2 - 6 + 3) - 4 - 2 + 9).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-35)\/35).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 52*y + 23 = 2*o + 57*y, 107 = -3*o + y - 5*y for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/95 - 2\/19. Let i be (472\/408 + -1)*3\/4. What is the nearest to 0 in i, -3, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/13 + 17102*o**2\/13 - 5162578*o\/13 + 15333762\/13 = 0. Calculate o.\nAnswer: -8843, 3, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 + 303 = 22*s. Suppose 14*n - 396 = 3*n. Calculate the remainder when n is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 24*u**2 - 99*u - 43. Is 11 a factor of t(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000111111011 + 1011?\nAnswer: -100000111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 367 and 0.97.\nAnswer: 367.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990801 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**6 + 3*x**4 + 3876771*x**3 - 29647241*x**2 wrt x.\nAnswer: 480*x**3 + 72*x + 23260626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19927 + 8597. Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46871.\nAnswer: 11, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*-5*28\/(-945)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 265471 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6508 by 4.\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/9)*k)**22)**(2\/33) assuming k is positive.\nAnswer: k**(40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/20 - (-25)\/4. Suppose -g - h = -2*g. Let u = -2 - -6. Solve -g = -u*c + 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-16)*q)\/q**(-19)*q\/q**(3\/4)*q**12)**(2\/15) assuming q is positive.\nAnswer: q**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a + 1302. Let z be o(93). Do 1\/8627 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*h**6 + 763*h**4 - 205048*h**2 + 1.\nAnswer: 6840*h**3 + 18312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 6 - 3*g + 13 to the form a*g + u and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-345)\/414*-1*(-16)\/(-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsu when three letters picked without replacement from {b: 2, u: 2, r: 2, o: 1, s: 1, k: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 15 + -14 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1014423052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230 + -4330131?\nAnswer: -4330411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/168 and -75\/5642.\nAnswer: 67704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -0*t + 6, -2*n + 6*n = t + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105779345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - -44.8. Let r = 38 - v. What is the closest to 0 in r, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**3 - w**3 - w**3)*(16*w - 2*w + w) - w + 2*w**4 + w to z + t*w + q*w**3 + i*w**4 + k*w**2 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50309 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 - 5*p**2 - 73*p + 14*p**2 + 109*p - 1 - 4*p**2 to the form n*p**2 + v + b*p and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + 0.36. Let v = -1872 + 1870. Let n = 0.19 + -3.19. Which is the closest to k? (a) n (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 <= 503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 980 and 589561532?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1187 (base 10) to base 7.\nAnswer: -3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5332*m**4 - 7*m**3 - 1548*m**2 - 296036496*m wrt m?\nAnswer: 63984*m**2 - 42*m - 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*d - 64, -3*d + 6*d - 33 = 3*k. Suppose 3*v = 3*b - 74496, -3*b + 0*v + 74502 = -v. Suppose -d*h = -17*h + b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(2\/9)*d)))**(-47)\/(d**(3\/8)*d*d*d**(-6)*d)*(d**7\/(d**7\/d))\/(d**1)**(9\/2) assuming d is positive.\nAnswer: d**(-4199\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223 or 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from vhhvvhhhhhh?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300517 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10385889?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 30 - 30. Suppose 37 - u = 3*s + 5*q, 10 = 4*s + 2*q. Suppose 0 = -2*a - 2*w - 3*w + 227, s = 2*a + 2*w - 242. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose -60 = 4*o - 19*o. Sort m, o, 13.\nAnswer: m, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((-128)\/(-40))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 9) to base 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/187 (b) 17 (c) 0.3 (d) 52903\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209899\/45582 + -499\/107. Find the common denominator of -37\/9 and l.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 140, 135, 126, 113, 96?\n\"Answer: -2*r**2 + r + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, l: 1, z: 2, c: 5, p: 2}. Give prob of sequence pp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*i**2*r + i**2 - 82*i*r**2 - 8*i - 62472*r**2 - 37*r with respect to i.\nAnswer: -160*i*r + 2*i - 82*r**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:41 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from aueuajiaupajaauap?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186.77532 minus 18125?\nAnswer: -19311.77532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83864037 take away -2339476?\nAnswer: 86203513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.3, -124, -2\/3, 3, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5183 and 9869.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**2 + 2 - 9*k**2 + 13*k**2 to p*k**2 + v + d*k and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 3*r - r)*(2*r - 3 + 3)*(9 - 7 - 9).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 5, -12, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - 3*sqrt(76)*2 - sqrt(76) - (sqrt(76) - sqrt(76)*3*-1))\/((2*sqrt(324) + sqrt(324) + sqrt(324))*-1 + (sqrt(324) - 5*-2*sqrt(324))).\nAnswer: -10*sqrt(19)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 4, p: 3, r: 1, l: 1, i: 7}. Give prob of sequence dyl.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/((-56)\/7))\/((27\/(-4))\/(-9))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**3 + 9*c**2 + 9*c - 23. Let j(h) = h**3 + 2*h**2 + 2*h - 6. Determine -9*j(v) + 2*m(v).\nAnswer: v**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:27 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 27 - 7 = 0. What is the remainder when c is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73945816 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 6. Let c be p(7). Let d = 9 - c. Suppose 5*j = 3*n + 23, 4*n = -2*j + 10 + 20. What is the lowest common multiple of d and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 2. Let f be b(-5). Let p = f - -2. Let o be (2\/4)\/(p\/(-8)). Solve 2 - o = 3*y + 2*q, y - 2*q = 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 322?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n + n - 3*n)*(0 + 2*n**2 + 0).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (4 - -2)) + 20 - -7. Solve -24 = 5*a - 4*q, 23*a - k*a + q + 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -7*s**3\/3 + s**2 + 18. Find the second derivative of g(o) wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 76\/(-14) - ((-2691)\/(-91) - 29). Let i(m) = 26*m + 118. What is i(d)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 64 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(39)\/(1*sqrt(3)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - k)*(-2 - 6 + 4) + 4*k + k - 6*k + 1 - 5*k - 1.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804930 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 451, 1018, 1819, 2854?\nAnswer: 4123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 1\/10*t**6 + 27*t**2 + 32*t - 2 + 0*t**3 - 3\/20*t**5 + 0*t**4. What is the derivative of j(x) wrt x?\nAnswer: 12*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -v. Let p = -117 - -113. Which is the closest to v? (a) p (b) -4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(24 - 15)\/(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252872585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/28)\/((-4)\/32). Sort 0.3, k, -0.3, 0.5 in descending order.\nAnswer: k, 0.5, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + 2*a - 12. Let n be t(6). Suppose -5*g + 39 + 11 = n. What is the smallest common multiple of g and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23131 is divided by 9629.\nAnswer: 3873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -49a28245?\nAnswer: 49a28248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 + -372. Suppose -2*i + 7 = 55. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -449, 206.5, -4\/7, -4, -2\/3 in decreasing order.\nAnswer: 206.5, -4\/7, -2\/3, -4, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*i**3*x**3 - 26*i**3*x**2 - 4*i**3 - 2*i**2*x**3 - 2*x**4 wrt x.\nAnswer: -48*i**3 - 12*i**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5761980 divided by -22865?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**4 + 40*w**2 - 5*w + 122. Let k(m) = 5*m**4 + 20*m**2 - 3*m + 61. Let j(r) = 3*a(r) - 5*k(r). What is the derivative of j(i) wrt i?\nAnswer: 8*i**3 + 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 23 + 15)*(24*g**3 - 56 + 56 + ((-g + g + g)*(g + 3*g - 6*g) + 5*g**2 - 5*g**2 + g**2)*(-3*g - g + 6*g)) + 4*g - 4*g + 2*g**3.\nAnswer: -482*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 18. Let w be o(7). Suppose -w*u + 438 = 4*f - u, -2*f = 2*u - 222. Calculate the highest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o + 6. Determine x(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -1\/5, -1\/3, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/3)\/i*i))**(-48))**(-34)*(i*i**1*i*i\/(i*i*i*(i\/i**(-6\/11))\/i*i))\/(i*i**(-1\/2))**(-3\/17) assuming i is positive.\nAnswer: i**(406741\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/3))**(1\/34))**(2\/81))**(2\/7) assuming m is positive.\nAnswer: m**(-4\/28917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 9. Let k = 4 + u. Which is the closest to k? (a) 0.5 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*b + 9016 = -229*b + 121*b. Calculate the highest common factor of 644 and b.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:51 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(0 - (-4 + 2)). Is (8 - q) + 7 + -9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-9))**8\/((f**(-4)\/f)\/(f\/(f*((f*f*f**(-2\/51)\/f*f)\/f)\/f)*f*f)))**(-20) assuming f is positive.\nAnswer: f**(66260\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 60 = w. Suppose 4*d = 9*d - w. Solve 0 = -d*y - 2*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 304.2 + -304.1976832. Round d to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 639, 1275, 1897, 2499, 3075, 3619?\n\"Answer: -l**3 - l**2 + 646*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368510173 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1155*r**3 - 2*r**2 - 4*r - 7. Is x(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*x + 4*j, 0 = -2*x + 3*j - 11 + 4. Let h(v) be the second derivative of 2*v**2 + 0 + v + 5\/12*v**x + 0*v**3. Differentiate h(s) with respect to s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168932*h**3 - 1266974*h**2\/3 + 506756*h\/3 + 16\/3 = 0.\nAnswer: -4\/126699, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 1.32.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 6*b**2 - 10*b + 4. Let s be d(7). Let g = s + 19. List the prime factors of g*2 - (2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -22?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-1638))\/((-111)\/(-9)). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28880.8006541 - -0.2.\nAnswer: 28881.0006541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffyi. What is prob of sequence ff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*v + 131360 = 335*v. Round v to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/7 and -1 + 4*(-87)\/54.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + d, -2*f - 2*d - 90 = 0. Let z = 49 + f. Suppose 49 = z*m - 47. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*n - 11*n + 316 = 0, 3*n - 474 = 3*h. Let a = -80 - h. What is the greatest common factor of 52 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 30, 42, 58?\n\"Answer: 2*u**2 + 2*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11205*s**2 + 2*s - 74889*s**3 + 11205*s**2 + 74884*s**3.\nAnswer: -5*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 2:48 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/(-4) - (-9)\/6. Let h = o + 58\/7. What is the nearest to h in -2, 3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.2465 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.307 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15578 rounded to 3 decimal places?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1559 (base 13) to base 14.\nAnswer: -11c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -568*j - 90309. Let p be l(-159). Factor 2\/5*a**2 + 1\/5*a - 2\/5 - 1\/5*a**p.\nAnswer: -(a - 2)*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -246*x**2. Let c(j) = 58*j**2. Calculate u(c(f)).\nAnswer: -827544*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 6 = 0. Suppose x + 5*r - 34 = -0*r, -4*x - q*r = -100. Let a = x - -13. Find the common denominator of a and -24\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnjwxvv. Give prob of sequence wt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-18)\/924)\/((-5)\/165).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*z + 287*z - 15545 + 1245 = -50*z for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h)**(-43)\/((h*h**(-2\/7))\/h)**(-12)*(h*h**(-2\/7))**(3\/44)\/(h\/(h*h**(-5\/4)\/h*h*h*h)*h\/(h\/h**(-3))) assuming h is positive.\nAnswer: h**(57\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*-2*sqrt(275) + -1*sqrt(275)*2 - ((sqrt(176) + 1*sqrt(176))*-4 - sqrt(176))*4)**2.\nAnswer: 372418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12018 - 12032. Do m and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32160 + -11828. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 2. Let y = 6 - 6. Suppose y = 3*j - 2 - 7. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (6 - 5) - 10 - -8 - 5) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 405?\nAnswer: 4\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from iooitiggoigtxgggg.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55055*i**2 - 84*i - 55049*i**2 + 84*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*d + 33, 3*k = 2*k + 4*d + 38. What is the remainder when 85 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11291 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15648349427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -19*r**3 - 8*r**2 + r - 10. Let j be z(-6). What is j rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -297833, -1191339, -2680511, -4765343, -7445829, -10721963, -14593739?\n\"Answer: y**3 - 297839*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -i + 5*i, -5*i + 1 = 4*f. What is the remainder when 6 is divided by f + 2 + -1 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329430 (base 11) in base 12?\nAnswer: 213943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/21 (b) -0.3 (c) 1 (d) 0.1 (e) -7479\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*((sqrt(1300) - sqrt(1300)*-2) + 0)*3)**2.\nAnswer: 2632496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17513*f - 315232. Determine o(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 11:18 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 20. Calculate the highest common factor of 40 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**5 + 5*w**4 + 8*w - 5*w**4 wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**3 - 58570*m**2 - 228679325*m - 297594970260 = 0 for m.\nAnswer: -3972, -3871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvzz when four letters picked without replacement from {z: 3, v: 7, b: 3, h: 4, l: 1}?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-35)*-18*85\/34?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123255 + -1?\nAnswer: 123254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2611\/930 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:49 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111354 by 18559.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/3 - 10\/(-30). Let z(p) = -2*p - s*p - p + 0*p + 2. Let y(d) = d - 1. Calculate 4*y(k) + z(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-2) + (2 - 3). Let l = y + 25. Calculate the remainder when 54 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aay when three letters picked without replacement from aayy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t - 20. Let j be s(9). What is the units digit of j\/(-3) - (-8)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -790917\nAnswer: -14\/790917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82126 divided by 41063.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 289*b**5 - 2902*b?\nAnswer: 5780*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174 + 1 + 0 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -20*k + 106. Let u be i(5). What is the tens digit of ((-1532)\/u)\/((-10)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upfufpfpufuff. What is prob of picking 1 u and 2 f?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1, 3\/70, -19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-18))\/((-48)\/(-504))*(-102)\/(-357)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*c - 35, -4*m = 3*c - 4011 + 4030 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a = -10. Let d be (1 + 3)*1\/1. Suppose -d*f - 16 = -r + 10, 0 = a*r - f - 35. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 178, 340, 490, 628, 754, 868?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68469 = -142*m - 2439. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161169 <= 161175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*k + 5*u - 6, -12 = 4*u. Suppose s - 28 = -5*h, 5*s + k = -4*h + 161. Let l be 1\/2 - 21\/(-2). Calculate the highest common factor of l and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -16461*d**5\/20 + d**4\/12 + 5*d**3\/6 - d**2. Let v be c(9). Round v to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/240 - b**4\/8 - 5*b**3\/6 + 4*b**2. Let r(q) be the first derivative of n(q). What is the first derivative of r(c) wrt c?\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 + 1.18. Let v = -56 + 56. Which is the closest to -0.1? (a) x (b) v (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*x - 160*x + 7 = -8*q - 21, -4 + 0 = x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*y - 7458*l**3 + 2837*l**2*y - 2*l*y wrt l.\nAnswer: 12*y - 44748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (1 - -21) + 3. Solve i = -7*i - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2027*b + 178. Calculate the remainder when 4421 is divided by a(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824432255 to the power of 1\/3, to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1091 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (67 - -1) - (25 - -4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -279124.\nAnswer: 5\/279124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10746*k**5 + 11527*k wrt k?\nAnswer: 214920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 42*c**2 - 27491*c - 12448. Determine g(655).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 373632 and 210029.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00436850653 to 5 dps.\nAnswer: 0.00437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 7*b + 4. Let p be r(-7). Let w = -12 - -17. Suppose -3*d + 10 = 4. Solve -d*s - 2*s + p*l = 8, -w*s + l - 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -196*r - 7. Let h(v) = -194*v - 8. What is -6*g(n) + 5*h(n)?\nAnswer: 206*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -149, -199, -301, -473, -733?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 349877.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 64. Let y be q(9). Let l be 4\/(-1) - 3\/(-3). Let s(v) = -4*v**3 - 3*v**2 - 3*v + 3. Let d(b) = b**3 + b**2 + b - 1. Give l*d(g) + y*s(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose t*a + 15 = -3*a. Let p = 0 + a. Sort p, 5, 0.2 in descending order.\nAnswer: 5, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 37*y**2 + 10*y + 104. Let q(p) = 2*p**3 + 65*p**2 - 20*p - 206. Let g(w) = 5*f(w) + 3*q(w). What is g(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67021 = 622*y - 695*y - 1469*y - 5453 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10970 less than -1513.03147?\nAnswer: 9456.96853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 16*s + 180 = 0. Let v be (-3)\/(-4) - s\/(-4). Suppose -3*q + 0 = -v. Solve 0 = q*u - 19 - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10980 and 1208715.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61582 is divided by 4122?\nAnswer: 3874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 23032120?\nAnswer: -23032120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - 0.4. Let y(p) = 3*p + 6. Let w be y(-2). Let u(r) = r**2 + 6*r + 7. Let z be u(-2). Which is the nearest to -2\/7? (a) z (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 3*w**2 - 2. Let k(y) = y**2 - 5*y + 3. Let m(o) = -o + 1. Let d(s) = -k(s) - 5*m(s). Let z be d(8). Let n = 10 - z. Give a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 18*a**3 + 12*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -668\/11 - -61. Let h be ((-6)\/15)\/(-12 - 132\/(-10)). Put 1\/4, r, h in increasing order.\nAnswer: h, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 9. Calculate i(10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70487719?\nAnswer: 29, 2430611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318.0223560493 + 1.9?\nAnswer: 1319.9223560493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 816 = 5*q. Suppose 3*l - q = -l. Let a = l + 14. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*i + 26. Calculate the remainder when i is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-2 + -13 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613968001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -5)\/(1\/1). Let p = z + -5. Solve 32 = 2*h + 2*h + 5*d, -8 = -p*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4, 61, 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1328605 and 0.08.\nAnswer: 0.2128605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6066817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = -15. Let o(p) = 166*p**2 - 84*p**2 + 2073*p**3 - 79*p**2 + 0 - 1 + p. Let c be o(k). Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*n = -543 + 326 - 1418. Sort 2\/113, -2\/7, n in descending order.\nAnswer: n, 2\/113, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -0*j + 35. Suppose -j*f = -8*f. Suppose f*v - 4*v = k - 1258, 5*k - 10 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqboofobpop. What is prob of sequence po?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31070*s + 31063*s = -259. Suppose -4*z + 85 = z. What is the remainder when s is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179238823?\nAnswer: 7, 6803, 24763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*l + 159 = 7*l, -2*j + 2*l + 66 = 0. Let f = j + -2. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -280?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*r + 3, 4*u - 4 = 4*r - 8. Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2*y**4 - 5*p**2*y**2 + 22689*p*y**2 + 3*p*y + 331940*y**4 + 2 wrt y.\nAnswer: 48*p**2*y + 7966560*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 626. What is the smallest common multiple of 833 and q(31)?\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86673, -86674, -86679, -86688?\nAnswer: -86701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24821100 divided by -12410550.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-150)*-12*155\/62?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*k**2 - 54*k**2 + 347*k**2.\nAnswer: 504*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 6*j + 6. Let y be (2\/(-4) + 1)*-6. Let w(h) = 5*h + 5. Let x(r) = y*k(r) + 4*w(r). Let l(s) = -4*s**2 - 3*s - 3. What is -2*l(q) - 3*x(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365860325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**2 - 8*n + 16. Determine w(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, g: 1, q: 4, i: 1, v: 3}. Give prob of picking 1 i and 1 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 84 = -4*j + 318, -3*j + 529 = -4*y. Let k = y - -134. Solve -3*g + 3*h = -15, 3*h + 3 = -g - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 7 - 0) + (-26 - -3 - -29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m. Let w = 0 - m. Let x be (-39)\/(3 - w)*-1. Round x to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-14 - -25) - -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - 1.8. Which is the third biggest value? (a) 4 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from uujejjuhhhhjhjjhhjhu?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.04 - 22.98995. Let k = b - 0.05. Round k to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Solve -2*h - 3*f - g = 0, -3*f = h + 2*f - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588027875.\nAnswer: 5, 17, 167, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/(-238))\/((-1)\/7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4203573 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 5. Let g be o(-2). Let s be (2\/(3 - 2))\/g. Suppose 5*c - 90 = 3*w + 17, -s*c - 2*w + 30 = 0. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21717636 and 91698?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 5*d + 2 - 2 + d + (0 + 10*d + 0)*(3 - 1 - 4))*(-41 - 12 - 9).\nAnswer: 868*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 6) to base 14\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984, -2073, -3278, -4599?\nAnswer: -6036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244*r + 8*r - 34*r + 23 - 23 to the form n + q*r and give q.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-8)*(114 + 4) and -89\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 25. Suppose 2*m = 3*v - 737, 251 = v - 2*m + c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -21. What is the smallest common multiple of y and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -842 (base 15) to base 6\nAnswer: -12342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2 = -5*c + 18, 4 = 4*c. Let k(b) = -14*b**3 - b + 29*b**m - 14*b**3. Let s be 1*2\/4*2. Let h(q) = 3*q**3 - q. Calculate s*k(v) - h(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -35. Let p be (92\/(-28) - -3)\/(f\/56). Suppose 5*j = 3*w - 5 - 0, -4 = p*j + 3*w. Sort j, -0.4, 7.\nAnswer: j, -0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7126 by -1481.\nAnswer: -7126\/1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5)**6 assuming c is positive.\nAnswer: c**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -5, 2325 in ascending order.\nAnswer: -25, -5, 2325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 102?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106640.\nAnswer: 2, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 31*t + 111)*(4 - 4 + 6*t)*(-19 + 0*t - t + 13).\nAnswer: -186*t**3 - 1116*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6161*v + 46492*v - 40329*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 10*u - 6. Let n be 2\/6*(33 - 3). Let p be g(n). Let d be (0\/3)\/(-7 - p). Solve d*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64, -201, -430, -751, -1164, -1669, -2266?\n\"Answer: -46*q**2 + q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1041*k**3 - 6*k**2 + 24886 wrt k?\nAnswer: 3123*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43595220 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.361423 months to years.\nAnswer: 0.44678525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18136.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*m + 133*m = 100*m + 1057 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901 is divided by 1946.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhcba. What is prob of sequence ba?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/8*(-1800)\/675.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99\/305384 or 0?\nAnswer: -99\/305384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (20\/(-6))\/(22\/(-165)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 4*h - 9. Let l(p) = p - 1. Let x = 2 - 1. Let k(r) = x*z(r) - 5*l(r). What is the lowest common multiple of k(4) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -17*k + 153. Let t(v) = 11*v - 152. Calculate 4*h(n) + 6*t(n).\nAnswer: -2*n - 300","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4699c (base 14) in base 15?\nAnswer: 35e8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 5*z - 3. Let v(q) = -q**2 + q + 1. Let s be (-1 + 2)*(11 - 8). What is s*v(n) + u(n)?\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t + 27 = n, 0 = -2*n - 4*t + 84. Let l = 4 + -16. Let s = n + l. Calculate the remainder when 70 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 62062.777 days?\nAnswer: 8866.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1*-4)\/((sqrt(7) - sqrt(42)\/sqrt(150)) + sqrt(7) - sqrt(7)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eppp when four letters picked without replacement from eppeeepppp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 38 - 7*q as g + l*q and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 + 4*p - 2. Determine v(-4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**4*o)\/(o**(-4\/17)\/o*o))\/(o*o**(-7))**48)**(-5\/7) assuming o is positive.\nAnswer: o**(-3585\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -48. Is h\/(2 - (-10)\/(-4)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38 + -54 - (-51168)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(112) + sqrt(112) + 0) + sqrt(112) + -3 + (sqrt(112) - sqrt(112)*1) + -2 + -3)**2*-6*-3.\nAnswer: -3456*sqrt(7) + 19296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/5, 1732\/2463, 2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*36\/(-8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2524 and 650318696?\nAnswer: 650318696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayxxxasxsxxa. What is prob of sequence yx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -8392912?\nAnswer: -8392912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*s - 5*m, -297*m - 16 = 4*s - 293*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0073212ml to litres.\nAnswer: 0.0000073212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 24. Let b(v) = 4*v**3 + v - 24. What is -3*b(w) - 4*s(w)?\nAnswer: -4*w**3 - 3*w - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -140, -433, -996, -1919, -3292, -5205, -7748?\n\"Answer: -15*n**3 - 8*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15*((-5)\/(45\/6))\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*i - 9. Let s = 74 + -158. Calculate the remainder when s\/i - -1 - 2 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/4 + 5*-1. Let k be 1\/(-3) - y\/30. Let c be 1\/(-4) - (-6)\/56. What is the smallest value in 2\/3, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 804 = 2*q + 5*w, 2033 = 5*q + w. List the prime factors of q.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let g = -1 - 1. Let q = g - m. Which is the second biggest value? (a) 3 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.57451 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 116 = 50 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 - 178*s**3 - 318*s**2 + 2682*s + 6264 = 0. Calculate s.\nAnswer: -87, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 0.109271?\nAnswer: 0.109271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286 equal to 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 959220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*p - 4*y + 4, 2*y = 4. Suppose -p = -4*j + 3*j. Solve -i + 4 = k, -j*k = -0*k + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2 + (-16)\/(-6)). Let n(f) = f**3 + 4*f**2 + f - 1. Let d be n(i). Solve 0 = -d*x - 6 - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 32. Solve -3*b = -y*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/120 - 19*u**5\/60 + 29*u**4\/24 + 29*u**3\/6 - 9*u**2. List the prime factors of t(-21).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -444+417\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7717*z - 15886*z + 5038*z as f*z + y and give f.\nAnswer: -3131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358 is divided by 103?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-45)\/12)*715\/22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49144.\nAnswer: 2, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:12 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 2*m)*(-61 + 24 - 27) - 4*m + 3*m - m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-336)\/(-20))\/(-4))\/1 and -17\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 - 159*u\/5 - 252.\nAnswer: 3*(u - 60)*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*(sqrt(272) - sqrt(272)*1)*1)**2 + (-4 + sqrt(272) + 5)*-5)*-3.\nAnswer: -360*sqrt(17) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25538816 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) 253940\/9 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2 + -1 + sqrt(432))*5 + 1 + 0)**2.\nAnswer: -2280*sqrt(3) + 11161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.2, -2, 0, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 0*l**3 - 235*l + 469*l - l**3 - 236*l + 8. Give v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 61*w + 1. Let c(x) = -3*x**2 + 6*x + 1. What is -3*c(g) + j(g)?\nAnswer: 7*g**2 + 43*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1364 by 3.\nAnswer: 1364\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/205 and 46\/55.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 2 p when four letters picked without replacement from {z: 1, p: 4, u: 1, a: 2, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*d = -13, 2 = 4*o - 3*d - 9. Suppose 4*f - f - 270 = 0. Suppose o*t - f = 4*t. Calculate the highest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g + g + 3*g)*(-6*g + 6*g - g)*(-g + 1 - 1) as p*g**2 + o*g + l*g**3 + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 29360 + 29394 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 18*c = 5*q + 14, 0 = -q - 2*c. Let o be 1\/(-2)*12\/q. What is the greatest common factor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/6 and -51\/104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 492, 1028, 1586, 2166, 2768?\n\"Answer: 11*l**2 + 503*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/39 - 35\/((-10840830)\/125666) - 7\/(-77).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-207) + (-654)\/9*35\/42.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 6. Let q(n) = n + 3. Let z be q(5). What is the tens digit of a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.065 * -43.5722\nAnswer: 2.832193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11103250 + 221?\nAnswer: -11103025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + c = 29, -3*c = 2*c - 25. Let u be (-16)\/z*(1 - -2). List the prime factors of 24 - (-7 + u - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(5))**2*2*5.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 3*m - 2*m)*(33 - 9*m**2 - 33).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 6)*(-2 + 2 + 1) + 1 + 2 - 5)*(4*i + 0*i + 0*i + i - 3*i + 0*i + (-1 + 5 - 5)*(0*i - 4*i + 3*i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 1, j: 1, n: 1, y: 1}. What is prob of picking 1 n, 1 y, 1 j, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -7\nAnswer: 198\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**2 + 15*g**2 + 15 + 54*g**2 - 23*g**2 - 8*g**3.\nAnswer: -8*g**3 + 104*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -3. Let w = -7 - t. Suppose z + u = -3, -3*u + 5 = -z - 2*u. Which is the biggest value? (a) w (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/49 - -113\/147. What is the second biggest value in 1, u, -4, -1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7925123 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188933496 + -7?\nAnswer: 1188933489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 13*n**4\/4 - 7*n**2\/2 + 58*n - 600. Differentiate f(p) wrt p.\nAnswer: 39*p**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 90*l**2 - 3*l - 9 = 0. What is l?\nAnswer: -3\/10, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1819 divided by -1.\nAnswer: -1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10040655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/5780 and -89\/1390?\nAnswer: 803420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 170*p + 70*p - 402*p.\nAnswer: -3*p**2 - 502*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, j: 1, p: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*n - 13, -2*v = 2*n - v - 4. Suppose n*d = d. Let g = 8 + -7. Which is greater: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(1 + -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2083*q + 12826. Calculate d(6).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m - 213 + 156. Solve -2*v - 1 = 3*q, v - m*q - q = -17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253529 and 524423.\nAnswer: 3473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 5. Let d be u(-6). Suppose 0 = -t + 5*t + 12. Sort -4, t, d in decreasing order.\nAnswer: d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/12*15\/(-50)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 2. Let b be s(0). Suppose 0 = -a + 2*a + b. Let p = a - -1. Is p equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*j**3 + 21*j**3 - 46*j**3.\nAnswer: -125*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -17 + -21 - (-14 + -6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5132 + 1110368164.\nAnswer: 1110373296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-302*w + 1127*w + 43 - 66 + 23)*(2*w - 11 + 11) in the form u*w + f + i*w**2 and give i.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (12 - -1))*(-133)\/(-3)*998\/10479.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*j**4 + 52*j**4 - 24*j**4)*(3943 - 3943 + 46*j).\nAnswer: 2806*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*b - 67*b + 225*b - 75*b - 4 - b**3 to the form r*b**2 + c + u*b + m*b**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3, -0.538?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**15\/w))\/(w\/(w**(3\/4)*w)))**(3\/32))**43 assuming w is positive.\nAnswer: w**(-6321\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300448 is divided by 12268.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 423*z + 30. Let b(m) = -213*m - 13. Give 7*b(u) + 3*c(u).\nAnswer: -222*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 2) + (-2 - -2). Suppose 2*b - 149 + 11 = z. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25051 in -3, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - 4 + 4)*(4 + 1 - 6)*(-2 + 2 - 1)*(4*g + 4*g - 6*g) to the form y*g + f + x*g**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/7)*j)\/j**(-5\/6)*(j*j*j\/((j**(-5)\/j)\/j)*j)\/j**(-6)*((j\/j**(-3\/4))\/j*j\/(j**(-3\/5)\/j*j))**(1\/55) assuming j is positive.\nAnswer: j**(485537\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53883759 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*l - 19*l - 10*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/7))**(2\/27))**(22\/5)\/((b\/((b\/b**(-2\/3))\/b)*b*b)**18)**(-46) assuming b is positive.\nAnswer: b**(202904\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -ec1e (base 16) in base 9?\nAnswer: -101822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 - 2*k**2 + 3)*(33 - 74 - 47) in the form q + w*k + d*k**2 and give d.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*((-1)\/2)\/(-1). Suppose 2*s - 6 = -3*j + 2*j, 5*j - 6 = 2*s. Solve l = -6*z + s*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108.24 - -1.24. Let n = 106.99939 + b. What is n rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17554422323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 4*k - 8. Let a = k - -3. Let s be (-6)\/a*240\/(-18). Solve -32 = -3*n - 4*d, 3*d = n - d + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520299477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92616 is divided by 1362.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281955 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(90\/12)*14\/(-70)*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.165, -2?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01886640092 to six decimal places.\nAnswer: -0.018866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2462 - 103.24812. Let k = q - -98. Round k to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 318812*s\/3 + 25410272836\/3.\nAnswer: (s + 159406)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -306*o + 2 + 23409\/2*o**2.\nAnswer: (153*o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/11, -7, 20?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 6 = -10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-27))\/(3\/(-3)*-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 37*x**5\/10 - x**4\/12 - x**3\/6 + x**2\/2 - 4*x. Let w be r(2). Let a = w + -324. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/(-21) + 238\/6 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/8 - 28*r**3\/3 + 293*r**2\/4 + 175*r + 4582. Factor m(q).\nAnswer: (q - 50)*(q - 7)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 - 16*h + 129. Calculate d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383 is divided by 589.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2166*x**4 - 504 - 1664*x + 66 + 2560*x**3 + 566*x**4 - 238 + 1056*x**2 = 0.\nAnswer: -1\/2, 13\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)\/r)**(20\/3)\/((r**10\/r)\/r**(-18)) assuming r is positive.\nAnswer: r**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 98801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737119743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 20*r**5 + 84*r**4 + 100*r**3 - 4*r**2 - 72*r - 32 = 0.\nAnswer: -2, -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)*n)\/n**8*((n*n*n**10)\/n)\/n**12)**(2\/27) assuming n is positive.\nAnswer: n**(-148\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*n**4 - 2*n**3 + n**3 - 12*n**4)*(-3 + 6 - 2)*(-1 + n + 1).\nAnswer: 18*n**5 - n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -17. Let z be (-1)\/(-2)*(t - -155). Let d be (-18)\/(-4)*20\/6. Calculate the highest common divisor of d and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p - 5. Let h(c) = c**3 - 5*c**2 + 6. Let n be h(5). Let i = 7 - n. Is i greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (222*j + 15 - 110*j - 113*j)*(5*j + 0*j - 3*j)*(j - 31 - 2*j**2 + 3*j**2 + 25) to the form v + g*j**3 + l*j**2 + c*j + n*j**4 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {m: 1, o: 2, f: 5, i: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 2\/9, 11.7, -120, 1\/3, 25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**4 + 2*l**3 + 35*l**2 + 5*l**2 - 3 - 8*l**4 in the form c*l**3 + v*l**4 + j + t*l**2 + y*l and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12824.09 + -12824. What is the nearest to 1 in x, -0.1, -3\/7, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*v + 58, -4*v = v + 4*n + 162. Let g = 74 - 111. Let r = v - g. Solve 3*y - 3 = -2*k + 5*k, r*y - k - 1 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**8\/240 + t**5\/24 + 2*t**4\/3 + 6*t**2. Let h(w) be the second derivative of o(w). Differentiate h(v) wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402 + 405. Let r(y) = 80*y - 90. Let f be r(l). Calculate the highest common divisor of f and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8635528 + -2?\nAnswer: -8635530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/24*1*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/(-4) - 33\/(-44). Let u be (-1335)\/(-20)*r\/(-4). Let a = 301 + u. Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d - 5. Let m(o) = 19*o + 11. Let r = 169 - 173. Give r*m(k) - 9*a(k).\nAnswer: 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2*5\/(-45))\/1)\/(96\/18)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46906, -93831, -140756?\nAnswer: -187681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 204 = -30*w + 28*w, -w + 2*v = -107. Solve 36 = -w*g + 129*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2*1)\/(sqrt(110)\/sqrt(250)))**2 - (sqrt(1400)*-1)\/(sqrt(8) + sqrt(800)*-2 - sqrt(8)).\nAnswer: -sqrt(7)\/4 + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/108300 and -59\/7220.\nAnswer: 108300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 5, x: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, -0.6235, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135556, 136349, 137142, 137935, 138728?\nAnswer: 139521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 80. Solve -b*s = -0*s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u)**(-45)\/(u**(1\/5)*u*u\/(u\/(u**(-2\/9)\/u))*u)*(u*u**(1\/3))**(-35)\/((u*u*u**(1\/6)*u)\/u**(-2\/9)) assuming u is positive.\nAnswer: u**(-1531\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4023230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a8 (base 13) to base 8.\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 - -1?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 45*o**2 - 11*o + 25. Suppose -18*q = -15*q - 27. Is a(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 15. Let g = 2.2 + r. Sort 5, g, 3\/7 in ascending order.\nAnswer: g, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 221\/5. Let i = -100.1 - -100. Which is the nearest to i? (a) o (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -665, -1434, -2209, -2990, -3777, -4570, -5369?\n\"Answer: -3*h**2 - 760*h + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*l - a + 35, 2*a = -2*l + 30. What is the remainder when l is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, -16\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiijfiff. What is prob of sequence ff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 220328800*w - 315376377?\nAnswer: 220328800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z - 522 - 841 - 1560 = -504 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 150212100*l**3 - 117576057 wrt l?\nAnswer: 450636300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -2\/3 (c) -0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2062*g - 7339*g + 540*g - 1351*g.\nAnswer: -10212*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 3*j - 10. Suppose 2*q = 4*l + 14, -2*l + 9 = -5*l + 3*q. Let h be k(l). Let i = 190 - h. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - 54 - (-1 - (3 - 3) - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3545 in increasing order.\nAnswer: -3545, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73.1 + 73. Put -0.3, 2\/9, x, 0.4 in decreasing order.\nAnswer: 0.4, 2\/9, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:57 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 8 = -2*b - 0*g, g = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3.7, -29, 1 in increasing order.\nAnswer: -29, -0.3, 1, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-18) - 12\/54. Suppose -336 = q*h - 0*h. Let n be h - 1*(-3 - -2). What is n rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53960 divided by -6745\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-24)\/21)*-1. Put -2\/11, b, 0.09 in increasing order.\nAnswer: -2\/11, b, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 30*c + 16*c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*y + 13*y. Sort y, 5, 7 in increasing order.\nAnswer: y, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109, 227, 551, 1183, 2225, 3779, 5947?\n\"Answer: 17*f**3 + f**2 - 4*f + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 24*p = 252. Let w(l) = -14*l. Let t be w(-1). What is the highest common factor of t and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*m**3 - m + 157 wrt m.\nAnswer: -546*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81766075439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and (0 - (-5 - -2)) + (4 - 5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6461 + -0.559. Let j = -197.909 + 198. Let i = j - y. Round i to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g**2 - 30*g**2 - 23*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5530, 22035, 49532, 88027, 137526, 198035?\n\"Answer: j**3 + 5490*j**2 + 28*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 242\/6 - 100\/(-60). Is ((-664)\/(-6))\/(-8 + 343\/y) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237522150.\nAnswer: 2, 3, 5, 23, 53, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 13) + -25 - (0 - -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -162*z**2. Let v(r) = -2*r**2. Give v(b(o)).\nAnswer: -52488*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, -1.14 in descending order.\nAnswer: 13, 0, -1.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1711 by -1.\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4 - 15 + 7*x + 0. Let g = -13 + 2. Let i(s) = 4*s - 6. Let r(j) = g*i(j) + 6*t(j). Let b(c) = 4*c. What is r(b(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 1 + 0*s - 2\/3*s**3 + 0*s**2. Let g(y) be the third derivative of y**5\/60 + 2*y**2. Give l(g(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 2*p - 74031 - 59247, 0 = n - 3*p - 16668. List the prime factors of n.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40099528993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/((-2)\/(-16)). Let x(m) = m**2 - 5*m - 6. Let d be x(l). Suppose -3*c + d = 2*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + 14*b + 72*b**3 - 38*b**3 - 6 - 4*b - 35*b**3. What is the tens digit of d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2)\/(n\/n**(-2\/25))*n**3*n*(n*n**2*n)\/n assuming n is positive.\nAnswer: n**(223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(20) + -1))**2*-4 + -2.\nAnswer: -2902 + 1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1304 + -558. What are the prime factors of f?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (9 - 4) + (-20)\/(0 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 14*c + 12)*(2613*c + 1 - 2529*c - 5).\nAnswer: -1176*c**2 + 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1090806\/1624 + 8\/14. Let b = x - 670. What is u in 9\/4*u**4 + 0 - b*u**2 - 3\/2*u**5 + 3*u**3 - 3\/2*u = 0?\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (4 + sqrt(304))) + 4*(sqrt(19) + sqrt(931)).\nAnswer: -4 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282 - -478. Let w = 33 - x. What is the nearest to 1\/3 in 1\/2, w, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 11*g**2 + 10*g - 24. Let w be z(-12). Suppose -5*a + 9 - 9 = w. Solve -3*q = -4*f - 2 + 1, -2*f + q - 1 = a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/13, 73.1, 2, -2, -2\/9 in decreasing order.\nAnswer: 73.1, 2, -2\/9, -6\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 33122\nAnswer: 165610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 79313?\nAnswer: -317252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.8, -1, 4, -10, 729\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*f**3 + 1292*f**2 - 5688*f - 71280.\nAnswer: -2*(f - 18)**2*(21*f + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-39))\/((-360)\/(-386)). Let q = -1\/90 + d. Which is the second smallest value? (a) -0.11 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, -3, 5, -2\/69, -98, 8 in ascending order.\nAnswer: -98, -12, -3, -2\/69, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12616 (base 10) in base 13?\nAnswer: -5986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -3 (c) -2\/25 (d) -4 (e) 1 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/5 + (23 - 16). Which is the nearest to -1? (a) 0.04 (b) y (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**2 - 2\/3*r**3 + 2\/3*r + 0.\nAnswer: -2*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -8. Let j = f - 10.9932. What is j rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 37*r. Let x(t) = 3. Let a(y) = y + 6. Let p(j) = a(j) - 2*x(j). Give p(c(n)).\nAnswer: 37*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.137 + -5.137. What is the nearest to -1 in -1\/9, -1\/2, -2\/9, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h**4 - 298*h**3 - 3868*h**2\/5 - 2392*h\/5 - 432\/5 = 0. What is h?\nAnswer: -27, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -962 - -725?\nAnswer: -23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 1, 1011, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 2*s**3\/3 - 46*s**2 + 1058*s + 358. Factor g(u).\nAnswer: 2*(u - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 10, p + 0*h + 4*h = 39. What is the remainder when p is divided by (-14 + -6 - -20) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + 2) - (-29 + 20 + 22).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 9:36 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1151341405 - -53?\nAnswer: 1151341502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhchhhhhhchhh. Give prob of sequence cc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 845 and -0.6.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6*y - 94 = 8*y, 3*n - 5*y - 74 = 0. Suppose 254 = n*m - 20285. List the prime factors of m.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4230283000 rounded to the nearest 1000000?\nAnswer: -4230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212747.\nAnswer: 3, 404249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**3 - 4*i**3 + i**2 + 1 + 34. Let a be 0\/(1 - 0\/1). Is n(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23372 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**3 - 32*f**2 + 30*f - 9. Let k(r) = -5*r**3 - 31*r**2 + 22*r - 7. Let y(w) = -7*k(w) + 6*t(w). Calculate y(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - y**2 + 84*y + 35. Let o(a) = 3*a**3 + 2*a**2 - 82*a - 42. Calculate 6*n(t) + 5*o(t).\nAnswer: 3*t**3 + 4*t**2 + 94*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Suppose -b + 0 = z + 1, 2*b + q = z. Solve z - 3*i**2 + 2*i + 4*i**2 + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 3*s**2 - 2*s - 1. Let g be p(3). What is the second derivative of 239*b + 112*b**3 + 85*b**3 - g*b wrt b?\nAnswer: 1182*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(10\/13)*u*(u*u**(-32)*u)\/u*u)\/(u\/((u**(7\/6)\/u)\/u)*u*u**(15\/7)*u) assuming u is positive.\nAnswer: u**(-18677\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 13*l**2 - 24*l - 194. Let f be n(-12). Is -57 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 49*b**2 + 26*b - 33. Let j be w(25). Let l be -13 - -13 - j\/4. Let u(y) = -2*y - 5. Let i(d) = d + 2. Determine l*u(o) + 5*i(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.305892 millilitres?\nAnswer: 0.000305892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10673 - 6856. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -a2a7?\nAnswer: -a2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(68) - sqrt(68)) - (-2*sqrt(68)*1 - sqrt(68)))\/(sqrt(576) + (sqrt(576) - (sqrt(576) + sqrt(576) + sqrt(576)*3)*2) + sqrt(576) - sqrt(576)).\nAnswer: -sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471896 is divided by 23363?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3242255252?\nAnswer: 3242255245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11252.742 + 11264. Let z = -181 - -180.842. Let q = z + d. What is q 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 -4931, -9892, -14851, -19808, -24763, -29716?\nAnswer: -34667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 256634419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2341038 - -25769989\/11. Let t = 1684 - r. What is the common denominator of t and (-3*(-36)\/(-4260))\/((-2)\/30)?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p. Let f(l) be the first derivative of 3*l + 0*l**3 + 0*l**2 + 5 + 1\/12*l**4. Let g(v) be the first derivative of f(v). What is g(q(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - (-2)\/12. Which is the third smallest value? (a) v (b) -3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 9 = n - 8*r, -3 = -r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose -5*i = r*i - 36. Solve -2*y + i = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/65 and -31\/104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 373, 4, 165, -4, -4\/9 in decreasing order.\nAnswer: 373, 165, 4, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 4\/33, -0.6, 21\/25, -2\/17, 8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1 - (-3 - (-15)\/6)). Solve -s*q = -q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 5:56 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(245).\nAnswer: 4 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 1\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*u**3 - 725*u**2 - 10337*u.\nAnswer: 54*u - 1450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-0.05.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by -58660.\nAnswer: 23\/8380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and 12.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 337, 833, 1489, 2305, 3281, 4417, 5713?\n\"Answer: 80*s**2 + 256*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 29091817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8888927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010212 + 100000?\nAnswer: -1210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000646 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekercckeeeke. What is prob of sequence reke?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-39 + (-70 - -132)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12396 by -12.\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - x + 7, 5*k + 12479*x - 12483*x = -13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0722 to three dps.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x + 21. Let d be q(6). Let b be (2 - (-69)\/d)\/(5\/10). Put 4, 1\/5, 0, b in decreasing order.\nAnswer: 4, 1\/5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53950803.\nAnswer: 3, 17983601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v + 2*q + 1 = 0, 0 = -2*v - 3*q + 4. Which is smaller: v or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2\/2 + 21*d - 79. What is the remainder when 83 is divided by h(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.36 - -0.36. What is the fourth smallest value in -2\/9, s, -0.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47238065.\nAnswer: 5, 7, 983, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 986*p + 1758 wrt p.\nAnswer: 986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:11 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239848 and 2632.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 88*q - 260*q + 2 + 2 + 88*q + 83*q. Let m(i) = -22*i. What is m(u(f))?\nAnswer: 22*f - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-219)\/(-105) + 460\/(-1610)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 76188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 16.\nAnswer: -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 724 + 118 = 0. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14008, 28020, 42034, 56050, 70068?\n\"Answer: r**2 + 14009*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 29*c + 112. Calculate j(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 280, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 2\/15*m**3 + 21 + 0*m + m**2. Factor f(k).\nAnswer: 2*k*(k + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(52)) - (sqrt(1872) + 0)) + 5.\nAnswer: -8*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 5*c**2 - c - 11. Let v be k(-5). Let g(l) = -2 + 5*l + 0*l**2 + 2*l**2 - l**2. Let b be g(v). What is the third smallest value in b, 1\/4, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7587*m**2 + m**3 + 7587*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*z = 16, -3*z = -4*w - 0*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 449*u**2 + 194*u - 575. What is the units digit of i(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 - 5. Let d be f(3). Let i = -45 + d. What is the remainder when 62 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.53. Let k = 2.03 - j. Let z = 6 - k. Which is the second smallest value? (a) z (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85139325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f = 47*f + 5*w - 190654, 285981 = 3*f + w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6 = 2*f. Suppose 0*h + 16 = -h + f*n, -n = -2*h - 7. What are the prime factors of 14 + (-1 + h)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2267, 2286, 2301, 2312, 2319, 2322?\nAnswer: 2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/(-2 + 1 + 2). Solve -4*j + 6*j + 4*w - 24 = 0, 5*j + 5*w - s = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153331.5884 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/16*(-6)\/(-9).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 5*t**3 - t + t**3. Let p be y(-1). Let h be ((-2)\/p)\/(2\/(-12)). Solve -2*n = -n + h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3737 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*g - 1724*g - 96363 = -19370 for g.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -13 + 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015756437 to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-115)\/69*4\/20 + (-1)\/6. What is the fourth biggest value in 0.071, i, -6, -2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.785 - -2.185. Let s = -7 + 8. Which is the closest to s? (a) 0 (b) -15 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -112\nAnswer: 95\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 32 + 9)*(4 + 0*d - 3 + 2*d) - 3*d + 5*d - d - 2*d - d + 2*d + (4 - 3 - 2)*(-4*d + 5*d - 3*d) to the form g*d + b and give b.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 180313731 a multiple of 4446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Let b(v) = 2 - 2 - 129*v + 1227*v + 926*v. Calculate b(y(q)).\nAnswer: 2024*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 84581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1576, 6318, 14222, 25288?\n\"Answer: 1581*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/5)*k)\/((k*k*(k**(-28)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + 1. Solve o - 9 = -2*d - 0*o, l = 5*d + 4*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**3 + 34*w**2 + 5*w - 25. Let n(o) = -2*o**3 - 7*o**2 - o + 5. Let d(i) = 3*m(i) + 14*n(i). What is d(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnf when three letters picked without replacement from {f: 2, n: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 18 = 6*k. Suppose -4*s - 64 = -2*h, -h + 2*s = k*s - 20. Let a = h - 14. Calculate the greatest common factor of 70 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 7*u + 1. Let g be c(-7). Suppose 3 = -4*v - g, -v + 219 = 4*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6953914.\nAnswer: 2, 11, 316087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 422 (base 5) to base 3\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06016 - 0.24584. Which is smaller: o or 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 627*k - 579*k - 596, -17 - 34 = 3*d - 3*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2174, 2170, 2158, 2132, 2086, 2014, 1910, 1768?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17321.87 litres in millilitres?\nAnswer: 17321870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 9*c - 45 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1\/12*i**6 + i**3 + 0 + 2*i**2 + 0*i**4 + 0*i + 0*i**5. Differentiate m(p) wrt p.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 0 + sqrt(13) + -2 - ((3*sqrt(156)*-5)\/sqrt(12) + -2).\nAnswer: -5 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/11)*x)**2\/(x\/((x\/(x*x\/(x*(x*x*x**3)\/x)))\/x))**(-2\/11))**(-14) assuming x is positive.\nAnswer: x**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 618563 a multiple of 1061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20065676 is divided by 68718?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 222*c + 225*c + 235245, -5*c - 235259 = -3*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81779 is divided by 40875.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -692 or -897951\/1300?\nAnswer: -692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 3\/7, 24, -1, 0.1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64.33218ml?\nAnswer: 0.06433218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = 0. Let h = -14 - -14. Suppose m = -3*w - h*w + 3. Calculate the least common multiple of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140 in -3\/5, 0, -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1923 + -1059. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 + 12*a**2 + a**3 - 49*a**2 + 4 + 4*a**3 - 4 + 0*a**3 + 2*a**3 + 0*a**3 + (0*a + 3*a - 4*a)*(-4*a + 2*a**2 + 4*a) + 2*a**2 - 2*a**2 - 2*a**3.\nAnswer: 3*a**3 - 41*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -769 + 773. Let c(r) be the third derivative of 0 + 1\/24*r**4 - 1\/6*r**3 + 4*r**2 + 0*r. What is c(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, 0, 5 in increasing order.\nAnswer: -12, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 4*z**4 + 3*z**3 - 4*z - 5*z**4 + 1 as k*z**4 + r*z**3 + p + v*z**2 + a*z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13 - 294.25265.\nAnswer: -294.12265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 12:58 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2, 0.1, -5005?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.31594 times -0.4?\nAnswer: 1.326376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 - 17. What is h(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/(-35) - (12\/10 + -1). Let a be 16 + (-3 - (-4 + i)). Sort 0, a, 2.\nAnswer: 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(208)*1*3 - 4*(sqrt(208) + sqrt(208)*3)))**2.\nAnswer: 416*sqrt(13) + 35168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.586 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 78*p**5\/5 + 3*p**4\/4 + 76*p**3 - p**2\/2 + 290. What is the third derivative of q(h) wrt h?\nAnswer: 1872*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 488 + -638. Let p = 856 + i. What are the prime factors of p?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:56 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 9223862.\nAnswer: -9223862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*u**2 - 66*u**2 + 702 - 702.\nAnswer: 279*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 4, h: 6}. What is prob of picking 3 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4*(-12)\/(-16))\/(3\/(-94)). What is the greatest common factor of g and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1, -2\/29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63670703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsssswwh. Give prob of sequence wsw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 9*i + 7. Suppose r - 14*f = -19*f + 15, 2*f - 42 = -4*r. Determine d(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/112 + 1514\/16. Solve -56 = -109*c + d*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -1\/24*r**4 + 0 + 1\/15*r**5 + 12*r**2 - 1\/3*r**3 + 1\/120*r**6 + 0*r. Suppose 0 = -0*u - 5*u - 20. What is x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 23*h - 97. Let g be i(17). Let s = -0.03 + -0.27. Let t = -0.8 - s. Which is the closest to -0.1? (a) g (b) t (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-14) + (-165)\/231. What is the fourth smallest value in -78, 5, 2, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4256)\/(-190))\/56)\/(1\/(-65))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -53\/5 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0 (c) 0.3 (d) -5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 11. Let a be v(-11). Suppose -4*q + 4*d = -13 - a, 4 = -d. Let 5*n**3 + 9*n**2 - 75 - q*n**3 + 6*n + 75 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29539260 and 324931860.\nAnswer: 324931860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36486 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**2 + 18*z - 318. Let d(g) = -8*g**2 + 19*g - 271. Let h(y) = -7*d(y) + 6*o(y). What is h(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) 2.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 9. Let a(w) = 2*w**2 + 19. Let u = -4 - -8. Suppose 2*d + d = 27. Let z(n) = d*m(n) + u*a(n). Find the first derivative of z(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*l - 32*b**2 + 40*b*l**2 with respect to l.\nAnswer: -3*b**2 + 80*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020110 + 0?\nAnswer: 2020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 487*x**2 - 9427*x + 1754. Calculate u(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:04 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 57*f + 4. Let l be p(-57). Solve -2*u = -5*c - 1, -3*c = -8*c - l*u - 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1\/2, 29, 27662?\nAnswer: 27662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 72673\/14, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 422580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + a - 3)*(0 + 2 - 4) - 5524*a + 83*a - 4343*a - 7251*a.\nAnswer: -17037*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:49 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 6528 = -11*i. Let u = 46 - i. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 265, -19333, 1 in decreasing order.\nAnswer: 265, 1, -19333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {k: 4, x: 5, s: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490426 is divided by 163473.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 54 - 61 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 19*j**2 - 18*j + 18. Determine o(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 4. Let i be y(-2). Let h be (-298)\/(-12) - i\/12. Factor h*p**2 + 9\/2 + 21*p.\nAnswer: (7*p + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 54660*n\/7 - 1094000\/7.\nAnswer: 2*(n - 20)*(n + 27350)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u - 552. What is the remainder when u\/9 + (-2)\/3 is divided by 2 - (-2)\/(-4)*90\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 426*h**2 + h + 1. List the prime factors of t(-1).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - s - 12 + 4)*(-13*s + 6*s**2 + 13*s) in the form v*s**3 + o*s**2 + j + g*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-891)\/(-1980)*(-6)\/(-9).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4621, 4639, 4669, 4711, 4765, 4831?\nAnswer: 4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*b + 47. Let a be (-3)\/b*8\/2. Differentiate 0 + 2 - v + a - 2 wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029?\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p + p - 663 + 663 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + (-17 - (-32 + 15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 3619.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose -3 + 1 = -2*j - z*i, -i - 5 = -5*j. Suppose 0 = -3*c - c. Solve 0*g + g + j = c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3642990.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-987))\/((-6)\/14)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/83 - -169\/249. Put 1\/5, l, 9\/7, 0.4 in descending order.\nAnswer: 9\/7, l, 0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8403 + 8402.9. Which is the closest to x? (a) 200\/9 (b) 0.3 (c) 1\/8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310320331 - -2?\nAnswer: 1310320333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-5)*(-1657 + 11).\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001010110011 (base 2) to base 13\nAnswer: -9837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 + 46 = -17*x. What is the third derivative of -4*p**2 - 10*p**4 - 19*p**6 + 2*p + 24*p**4 - x*p**2 - 14*p**4 wrt p?\nAnswer: -2280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2328*d**2 - d*s + 22359*s - 2 wrt d.\nAnswer: 4656*d - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6967*y**2 - 1500195 + 1500195)*(5 - 3 + 0) to r*y**2 + l + s*y and give r.\nAnswer: 13934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8384549 to the power of 1\/2, to the nearest integer?\nAnswer: 2896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 198, 2009, 6918, 16473, 32222, 55713?\n\"Answer: 258*b**3 + b**2 + 2*b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = 30. Let l(d) = d**3 - 6*d**2 - d + 8. Suppose 3*j + 19 = -5*p, 0 = -3*j - 2*j + 4*p + 30. What is the remainder when j is divided by l(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/3114 and 77\/1038.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)*o*o\/(o\/(o*o**(2\/3))*o))\/(o**(-1))**43 assuming o is positive.\nAnswer: o**(673\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)*18\/(-6). Let p be ((-13)\/39)\/(3\/(u*-3)). Sort p, 3, -3 in descending order.\nAnswer: 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5943*s**6 + 2*s**3 + 8*s**2 + 44*s + 3.\nAnswer: -713160*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9. Let a = 44.5 + -43. Let r = a - -0.5. What is the second biggest value in j, -1\/9, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddpdpp. What is prob of sequence dddd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 129. Let r be v(-33). Let y(s) = s**3 - 32*s**2 + 64*s - 118. Let x be y(r). Factor 0 + 0*o**x - 1\/4*o + 1\/4*o**3.\nAnswer: o*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51210 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -166 in -0.3, 0.02, 607?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - o - 127. Let j = o + -24. Let v = j - 67. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629635 is divided by 17908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((r\/r**(-10))\/r)\/r)\/r*r)\/(r*(r\/(r\/(r\/(r\/r**(-4)))))\/r))**15)**39 assuming r is positive.\nAnswer: r**7605","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -17 - ((2 - 10) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 5, g: 2, u: 3, m: 1}. Give prob of sequence tm.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-32)\/(-52)))\/(4873\/(-1772))\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*m**2 + 0 - 1\/4*m**3 + 0*m - 1\/2*m**4.\nAnswer: -m**2*(m + 1)*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -3*d - 10*g + 26, 0 = -3*g + 12. Suppose u - 4095 = 2*k, -10*u + d*u + 2*k + 16392 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.539161 rounded to 2 dps?\nAnswer: 19.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*a = -0*r + 570, -5*r + 2*a + 701 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 7*z**4\/24 - 7*z**3\/6 + 4*z**2. Let o(k) be the first derivative of -k**2\/2 + k - 5. Calculate -g(b) - 6*o(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50798\/9 + -5644. Factor 20\/9*o + 50\/9 + i*o**2.\nAnswer: 2*(o + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/120 - 2*d**5\/15 - 3*d**4\/8 - d**3\/2 - 197*d**2 + 3. Determine j(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1947.54?\nAnswer: -9737.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - y = -25, x - 12 = -4*y + 12. Solve 2*i - 4 = -2, -x*s = 2*i + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2. Let r(u) = -34892*u**2 + 2*u. Give r(i(z)).\nAnswer: -139568*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 328343384 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 37 - 29 = 0. Let a be (3*d\/(-24))\/(1\/(-8)). Solve a*r - 16 = 4*v, 0*v + 4*r - 10 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.15, -0.1, -107, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 87*a - 2*a**3 - 87*a - 3*a**4 in the form f + j*a**4 + u*a + h*a**2 + v*a**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310 (base 5) to base 15.\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let r = -7.91 + 8. Let b = -4.09 + r. What is the nearest to -2 in 4, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 12*k + 37. Calculate the lowest common multiple of t(-5) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 7*d - 1. Let u be s(6). Suppose 4*b = -u*k + 46, 6*b = -5*k + 3*b + 47. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1509\/1693 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3)\/(-6)*(-64)\/(-1152)*-9.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806567599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttvv. What is prob of sequence vv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4373 - -4369. Which is the nearest to -576? (a) t (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - g**2 - g. Let q(k) = -11*k**3 + 3*k**2 + 31*k. Let i(w) = c(w) + q(w). Find the third derivative of i(f) wrt f.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.486415mm?\nAnswer: 6486.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:23 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4985 - 1465 = -5*i, -3*i = 5*y + 2131. Let d be ((-4)\/9)\/(13\/(i\/12)). Suppose -4*u = 3*p - u - 15, -2*u + d = p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 49*b. Let y(r) be the second derivative of r**3\/6 + 3*r**2\/2 - r. Let u(c) = -c - 2. Let s(w) = -6*u(w) - 4*y(w). What is s(n(f))?\nAnswer: 98*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.4 + -52. Let l = 5 - n. Let m be 55\/(-70) - (-2)\/7. What is the nearest to 0 in l, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11240 and -2.\nAnswer: 22480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 37 = 14*s. Suppose -148*p + s = -147*p. Calculate the greatest common divisor of p and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6155, 3, -22, -2, 1.\nAnswer: -6155, -22, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -265.\nAnswer: 4\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 7*y**2 - y + 2. Determine r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 15*k - 13. Let m be n(-16). Let h(f) = -5*f + 32. Let l(o) = 2*o - 16. What is m*h(s) + 7*l(s)?\nAnswer: -s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*g**4 + 51440*g**3 + 38556*g**2 + 9637*g + 803.\nAnswer: (g + 803)*(4*g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1724\/3)\/(-5 - 85\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llttbdtlldqll. What is prob of picking 3 t and 1 d?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-148)\/(-185) + (-20)\/25. Solve b = 10*n - 2 + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1738545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7463022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 2, 22, 0.17, 1\/4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let c = -0.2 - 4.8. Let s = -4.5 - c. What is the biggest value in -0.1, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 - 15*w**4 - 25*w**3 + 15*w**2 + 20*w.\nAnswer: 5*w*(w - 4)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 31 = 12*t. Let m(c) = -c**2 - 11*c - 8. Let i be m(-6). Let h be (20\/3)\/(i\/(-99)). Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 97642650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 4*x - 5. Let m be b(-7). Let n = m + -49. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9891418 to the nearest integer?\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 828764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let n(k) = 1. Calculate 3*c(q) - 24*n(q).\nAnswer: 3*q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 5*k**2 - 2*k**2)*(13 - 39*k - 34 + 24*k).\nAnswer: -45*k**3 - 63*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 22*u - 5*u + 6*u + 11*u.\nAnswer: 34*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/93*3\/(-12)*6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 6*u**2 - 17*u - 6. Let r(a) = -12*a**3 + 17*a**2 + 49*a + 17. Determine -6*r(k) - 17*w(k).\nAnswer: 4*k**3 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 649?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.11 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -161976861041.\nAnswer: 161976861040.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1878 divide 54909015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77912.56 tonnes to grams.\nAnswer: 77912560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from ehpeimhhihhhehneni?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5847.\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5283693 and 6768?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5984 and 66924.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.21 + 51. Let z = -0.01 - m. Round z to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 8*n + 6. Let p be (-112700)\/(-2 + 18\/n). Round p to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(242) + 0 + -5*2*sqrt(242) + -3 + (sqrt(66)\/sqrt(3))\/sqrt(11) + -4 + sqrt(4)\/sqrt(2))*2)**2.\nAnswer: 5432*sqrt(2) + 75468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/(j*(j*j*j*j**1)\/j))\/(j\/(j*j**(1\/14))*j*j\/j**(-7)))\/(((j\/j**7)\/j)\/j*j**12)**(-7) assuming j is positive.\nAnswer: j**(197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-6)*k*k*k**(1\/6))**(-15)\/((k*k**1)**(-6\/13)*(k*k\/(k\/(k*k*k\/k**(-1\/8)*k)))\/k*k**(-3\/4)) assuming k is positive.\nAnswer: k**(-14555\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5864 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001399 to 7 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -14. Suppose -4*v + 1376 = -12*v. Let i = v + 198. Solve 4*d + 5 = -2*q + 21, -4*q = m*d - i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6*m + 11*m - 897 = 0, -m = -f - 913. Let k = f - -934. Let g = -24 - -72. What is the remainder when g is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 - l**2 + l**2 + (-1954*l + 41*l**2 + 1954*l)*(3 - 1 - 4 + (2 + 1 - 2)*(-3 + 0 + 4) + (4 - 2 + 0)*(3 - 1 + 0) - 1 - 1 + 3).\nAnswer: 159*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0880699 rounded to three decimal places?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/19)\/n*n)**(-3\/14)\/(((n*(((n\/n**(-4))\/n)\/n)\/n*n)\/n*n)\/n*n)**(-43) assuming n is positive.\nAnswer: n**(22873\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*n - 50 = 3*n, 3*n - 40 = -4*b. Suppose 0 = 2*r - b, -24 = -4*v - 3*r + 11. Sort v, -2, 4 in decreasing order.\nAnswer: v, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 + -18. Let i = l - 54. Find the second derivative of 138*v**i - 131*v**5 - 5*v - 5*v wrt v.\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - -12 - (-13 + 17 + -11 + 11).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2344*i + 891 + 29463 = -714*i - 34846 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -23*l**5\/20 + 10*l**3\/3 - 5*l. Let r(s) = 8*s**3 - 7*s. Give -6*o(m) - 17*r(m).\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.45 - -5.22. Let c = 2.230129 + y. Round c to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3025*y**3\/7 - 47740*y**2 - 157469*y\/7 - 18590\/7.\nAnswer: -(y + 110)*(55*y + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, r: 4, k: 4}. What is prob of picking 1 n and 2 r?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v. Let q(z) = 2*z + 25515. What is q(x(p))?\nAnswer: 4*p + 25515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -g - 15 - 33, -5*g + 4*w = 177. Let y be (-8)\/16 - g\/6. Solve -5*z - y = 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-6))\/(4\/20 + (-741)\/5130).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.96744 to 1 dp.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -77*n + 704. What is d(10)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6)*(-16)\/(-2). Suppose 0 = 4*d - y*j - 4, -j = d + j - 4. Calculate the greatest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8012578.\nAnswer: 2, 7, 81761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 321\/4. Let l = v + 1\/4. What is the third smallest value in l, -8, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-5) + 2592\/15 + 80\/(-10) is divided by 87?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3494920*l - 3494920*l - 2*l**2. Let w(a) = -41 - 41*a**2 + 41 + 145*a**2. What is u(w(f))?\nAnswer: -21632*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + m + 1187*m**3 + 8027*m**3.\nAnswer: 9214*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/3*(-2418)\/(-117) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*2)\/sqrt(6))**2 - (2*sqrt(7) + 0)**2 - ((sqrt(7) - sqrt(63)\/sqrt(576))**2 - (sqrt(42)\/sqrt(6) + -4)).\nAnswer: -599\/64 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*g = -59*g. Suppose -m - 2*m = -6. Solve v + g*v = m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-4)))\/(a\/(a\/(a**(-1\/6)\/a))) assuming a is positive.\nAnswer: a**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2386, -3 in decreasing order.\nAnswer: 2386, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**2 - 8*p + 44. What is the units digit of k(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 230050*p**2 - 230050*p**2 - p**4 - 6 + 15*p + 7*p**3 as m*p**4 + w*p**2 + z + f*p**3 + u*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5164 - 6726 - 13408 = -5*v. List the prime factors of v.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*a - 22, -41 = -2*z - 3*a - 50. Put -157, z, -5 in increasing order.\nAnswer: -157, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*u - 10, 22*u + 5*n = 23*u - 2. Suppose 95 = u*p + 5*t, 6*t - 3*t = -15. Calculate the lowest common multiple of p and 276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 94*m - 484. What is w(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124 (base 5) in base 16?\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -267523466*f + 36414046.\nAnswer: -267523466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 14 = -4 + 44. Let c = -250 + 1754\/7. What is v in -6\/7*v**3 - 10\/7*v**i + 2\/7*v**5 + 0 - c*v + 2\/7*v**4 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, 4, 27, 68, 133, 228, 359, 532?\n\"Answer: p**3 + 4*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - 4*v**2 + 8*v**2 + (0 - v + 0)*(16 - 16 - 18*v) to d*v**2 + c + h*v and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36474, 72822, 109170?\n\"Answer: 36348*c + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2379*a**2 + 51*a + 3635. Let w(p) = 7136*p**2 - 170*p - 10906. Let q(m) = 10*j(m) + 3*w(m). Find the first derivative of q(n) wrt n.\nAnswer: -4764*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -72.718?\nAnswer: -1672.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at most as big as 440487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5764 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsqs when four letters picked without replacement from {x: 6, q: 9, s: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4177860 by 5.\nAnswer: 835572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - c = 3*c - 12, b - 4*c = 13. Suppose 0 - b = -g. Solve z = 3*z - 5*p - 3, 0 = g*z + p - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 9 = 3*k. Let z be (2\/44)\/(k\/12). Let n = -173 - -175. What is the third smallest value in 1\/9, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -11*p + 9*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(-62)\/4712)\/(1 - 5). Determine d, given that 0*d - 3\/5*d**3 + h + 0*d**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 0, -12, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, -0.11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3174.86 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let q(f) = -12 - 21*f + 12 + 34*f. Determine q(a(z)).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*s + 9 - 173*s**2 - 29*s + 3 - 376*s**2 wrt s.\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + (14 - (13 - 6) - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*f + 180*f + 55*f = -106*f + 43505 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -76954, -76924, -76866, -76774, -76642, -76464, -76234?\n\"Answer: t**3 + 8*t**2 - t - 76962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 105*r - 56 + 20 + 19 in the form i*r + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmkv when four letters picked without replacement from {g: 6, z: 2, v: 3, f: 3, k: 1, m: 4}.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1154 + 12736\/11. Let x = -9\/899 + -132935\/11687. Let t = -511\/78 - x. What is the common denominator of t and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 28\/2*(-4473)\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + q + (0 + 0 + 1)*(4 + 2*q - 4) - 5*q + 3 + 0*q - 1.\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 44 + 22 = 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 346.\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 14448?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 3834\/510 - (-2)\/17.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by 41\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 99*f = -95*f - 29, 4*f = -v + 31 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9469?\nAnswer: 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 6*o**3 - 8*o**4 - o**2 + 0*o**4 - 2*o + 2 + 4*o**3 as t + y*o**2 + u*o**3 + c*o**4 + v*o and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 18. Let z be -3 + d + 3 - (-2 + 4). Suppose 3*j + 9 = 3*q, -q - 2*q + z = 5*j. Solve -6 = 5*v - q*v + 3*p, 2*p = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81229229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/9 + 74*z\/9 + 68\/3 = 0.\nAnswer: -34, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73 + 7*v**2 - 11*v**2 + 7*v**2 to the form c + o*v**2 + a*v and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 409866 and 7278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 88 = -i - 27, -3*i = 5*a - 85. Suppose -12*w + a*w - 1060 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmx when three letters picked without replacement from {x: 2, m: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 2}. What is prob of picking 1 k and 2 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1641, -162, 1\/5 in descending order.\nAnswer: 1641, 1\/5, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/64887?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 518560 - 210776. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/3 - (-4)\/(-6). Suppose 7*r - 23 = q. Solve 5 = 2*x - a, r*x - x - 2*a - 9 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 110055.\nAnswer: 1430715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -60, -93, -126, -159?\n\"Answer: -33*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6. What is the nearest to -1 in 2\/3, h, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h - 4*h + 5*h + 4*h + 6*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150 + 3*s - 3*s + 2*s - 2*s + 3*s to the form n + z*s and give n.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 27 - 11. Let r be z*42\/(-56)*(0 + 1). Solve -r = 11*h - 14*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 5*z**2 + 4*z. Let i be x(4). Let r = i - -2. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47112 divided by 76\nAnswer: 11778\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umrcmmuoccrcmmmcrcc. What is prob of sequence rocc?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*b + 3. Let r = 191 - 190.13. Let m = r + 1.13. What is the second biggest value in 8, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000606371655 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3 - 1. Let m = g - 1. Solve -2*r - 7 - m = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1, 2 in descending order.\nAnswer: 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 30*o**2 - 6*o - 150. Let n be s(20). Is n greater than or equal to -4270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267316?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53645220.\nAnswer: 2, 3, 5, 41, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-19730\nAnswer: -23676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.349918 - 2.35. Round q to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -20. Suppose 2*q + 0*c - 4*c = -10, -2*c + x = 0. Let m = q + 7. Let a(w) = 3*w - 6. Give a(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/sqrt(175))\/sqrt(3))\/((sqrt(6) - sqrt(384)*-3 - sqrt(6))*-5).\nAnswer: -sqrt(2)\/600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*6\/(-156)*8\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f**3 - 26*f**2 + 26*f**2 + 70*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*sqrt(112) - sqrt(7))*2)**2.\nAnswer: 8096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let i = -1 + c. List the prime factors of (i\/4)\/((-3)\/72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -44*z - 245. Determine u(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36168 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -10, -18, -28, -40, -54?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11909*c**2 - 7148*c**4 - 10764*c**2 - 3 + 2*c + 0 - 2421*c**4 wrt c?\nAnswer: -229656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-5))\/(2 + -4). Suppose m = 26*d - 30*d. Suppose 0 = -d*i - 2*i + y + 9, -3*y = 4*i - 3. Put i, -1, -5 in ascending order.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1784 + 1322 - 2577)*(-a - 4*a + 4*a).\nAnswer: 3039*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-952)\/(-224))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000266 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n + 5. Let g(s) = -7*s - 6. What is -4*g(q) - 5*x(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*b + 9520 = -335*b + 533*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-70) - (-6)\/(-10). Let p(c) = -8*c. Determine p(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4267 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 = 10. Let h(p) = -p**3 + 5*p**2 + 6*p + 1. Let n be h(6). Suppose -1 = 2*c - 3*j, 2*c - 5*c = -5*j + n. Sort -1, a, c in ascending order.\nAnswer: a, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 15. Let g(h) = 3*h - 9. Let k(u) = -4*u + 9. Let w(t) = 5*g(t) + 4*k(t). Let d(i) = 5*w(i) + 3*y(i). Let s(q) = 304*q**2. What is d(s(n))?\nAnswer: -608*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*u + 20 = 0, 7*c = 4*c + 5*u + 31. Suppose c*b - 441 = -5*b. What is the highest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1796, -1764, -1732, -1700, -1668?\n\"Answer: 32*b - 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -946 - -948. Let j(i) = 4*i - 4. What is the least common multiple of j(6) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 + 2.1. Let q = -1.06 + 0.06. Which is the third biggest value? (a) 0.4 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 10368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/265 - -788\/1855. Which is the smallest value? (a) x (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-500)*-45 + 92\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88563114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 8669 divided by -116\nAnswer: -8669\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 13) in base 2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 86, 2588 in descending order.\nAnswer: 2588, 86, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a + 5*a + 945169 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000000265 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*4 + sqrt(243) + 3)*2 + (sqrt(243) - ((sqrt(243)*-2)**2 - sqrt(243)))*1 + -1.\nAnswer: -967 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.6 + 2.6. Which is the nearest to -1? (a) 5 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48159330953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngyyyyygn. What is prob of sequence nng?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:46 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44304 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-139)\/(-42) + 24\/(-16) and -109\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13660561.50000144 - -13660560. Let j = -1.5 - q. Round j to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 1418 + 364. Suppose -66*m + j = -57*m. Sort -3, m, 5, -2 in descending order.\nAnswer: m, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/9 - 83440*t\/9 + 27040736\/3 = 0 for t.\nAnswer: 996, 40724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -587969540 to the nearest one million.\nAnswer: -588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -1147135462.\nAnswer: -1147135462.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 1062*r + 365*r + 343*r + 354*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 8*i - 12. Let z be h(-9). Suppose -5*d + 155 = -145. Calculate the common denominator of -65\/8 and 1 + d\/22 + z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = -3. Let p be (2 + (b - 5))*-1. Solve v + 2 - 5 = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10802254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32584270 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -14, -12, -10, -8, -6?\n\"Answer: 2*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16307183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132.0258 + -132. What is h rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -1 + 3 + -3. Let k be 3\/(6\/u)*-2. Let j = 64 + -62. Sort k, 5, j in decreasing order.\nAnswer: 5, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 31094 in ascending order.\nAnswer: -14, -2, 31094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 55\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24505 divided by -4012?\nAnswer: 24505\/4012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80876729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283642706 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 5416523. Let a(t) = 55*t - 2. What is a(p(r))?\nAnswer: -110*r - 297908767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-455)\/(-450) - (1 - 3). Let y(j) be the second derivative of -1\/9*j**3 + 2*j + 2\/9*j**2 + 0*j**4 + a*j**5 + 0. Factor y(o).\nAnswer: 2*(o - 1)**2*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 28. Differentiate -12*q**3 - 1 + 4*q**3 + z wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4201 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 210\/84*(-48)\/(-15). Suppose -4*r = -0*r - 132. Let q be 4\/16 + r\/j. Solve q - 2 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 11 = 2*x, 3*x - 7*x = -2*w - 2. Factor 35*p**2 - 3*p**3 - 18*p**w + 40*p - 4*p**3 + 11 - 31.\nAnswer: -5*(p - 2)*(p + 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -5?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30047 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 i be (-4)\/18*1 - 56805\/135. Let g = i + 645. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.2614mg in nanograms?\nAnswer: 43261400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1787, 1602, 1295, 866?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*c**5*h - c**5 - 335*c**3*h + 13616*c**2*h - 4*h + 4 wrt c.\nAnswer: 7740*c**2*h - 60*c**2 - 2010*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (405\/(-150))\/((-24)\/4)*4\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277336 and 195937884?\nAnswer: 391875768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 7:41 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:44 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = w + 3*x, -2*w + 4*x = 5*x + 13 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1045)\/(-165))\/(-1*(-2)\/228). Suppose -2*f = -2*o - 3*o + 3613, -f = -o + h. Let g = 3631\/5 - o. Find the common denominator of g and -68\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1574 - 1245. What is the remainder when 334 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 9934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*f - 1909 = 1681 + 626. What is the highest common divisor of 23591 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.095, 32, -5633 in decreasing order.\nAnswer: 32, 0.095, -2\/13, -5633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 336 + -215. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/5814050 and -97\/199650.\nAnswer: 191863650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 196 = -134*i, 0 = i - 3*o + 409 - 339 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 16*v + 20*v - 31, 4*u + 8 = -v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -39*i**8\/112 - i**6\/60 - 49*i**5\/60 - 126*i**2. What is the third derivative of n(x) wrt x?\nAnswer: -7020*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/2)*h*h*h)\/(h\/h**(2\/5))*h**(1\/18)*(h\/(h\/h**14))\/h assuming h is positive.\nAnswer: h**(808\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 384? (a) -15 (b) 87 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -12. Determine r, given that 8*r**3 + 5*r**4 + 0*r - 5*r**4 - 4*r - i*r**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -143, -449, -1043, -2021, -3479, -5513, -8219?\nAnswer: -11693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/(-51) - (-1)\/(-3). Which is the nearest to 2\/5? (a) 0.4 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**4\/12 + 65*q**2\/2 + 72. Let n(a) be the second derivative of i(a). Let f(c) = -6*c. What is n(f(j))?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/273)\/(248\/(-558)) + 4\/2.\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y - 63 = -259 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18663800 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 101741.47 and 136165.\nAnswer: 237906.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 m when three letters picked without replacement from {x: 8, m: 4, d: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9242.493 centuries?\nAnswer: 11090991.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.11 - -0.21. Let z = -11.17 - g. Let p = z - 4.73. Which is the third smallest value? (a) -1\/4 (b) 2\/11 (c) 3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11076392251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2572 - -171.5572. Let w = -164 + n. Let d = -7 + w. Is 1 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*a - 30, -3*a + a + 10 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37789759.\nAnswer: 7, 17, 23, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150689 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1*56\/(-476)*-17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/13 - 3696*h**2\/13 + 37142*h\/13 - 33444\/13 = 0.\nAnswer: -1858, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/3831 - 853\/6385. Which is the nearest to 1? (a) -3\/7 (b) r (c) 3 (d) 14\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 46. Suppose -3220 + 3989 = 5*o - x, 5*x = 30. Suppose -65*q + c*q = -o. What is the remainder when 57 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1807560.54 and -6?\nAnswer: 1807554.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 7*n - 9. Find the third derivative of -45*w**n - 16*w**3 + 34*w**2 + 43*w**2 wrt w.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -11. What is the remainder when 948\/14 + (-4)\/(-14) + 3 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(114)*-2 - sqrt(114))*-4)\/sqrt(6) + sqrt(19)*3 + -2 + (sqrt(133) + sqrt(133)*-3)\/sqrt(7) + -4.\nAnswer: -3 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/21)*v)\/(v*v**(3\/7))*v*(v*v*((v\/v**(-1\/5))\/v)\/v*v*v)\/v*v\/(v\/(v\/(v\/((v*v*v*v*v**(-2\/21)*v)\/v)))))**(-7\/6) assuming v is positive.\nAnswer: v**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-6))\/(7\/21). Suppose 4*w - w + 21 = h*d, -3*d = -w - 17. Let b = 272\/5 - 55. What is the smallest value in -2\/3, d, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16*y - 27. Let c be w(2). Suppose 13 + 12 = 5*d. Solve d*i - 2*o - 17 = 0, -3*o = -c*i + 2*o + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.4 and -2492469.\nAnswer: -2492456.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 107?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*v - 508, -2*c = -c - 4*v + 127. Let a = 133 + c. Let i(u) = -5*u + 1. What is the lowest common multiple of a and i(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 19 = -1. Let p be (-1)\/3 - 2\/v. Solve 0 = 5*u + 5*x + 10, -4*x + 2 = -u - p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i + 2 - 21*i - 3 + (-1 - 2 + 5)*(i - 3*i + 3*i).\nAnswer: -9*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 258.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2155 + 513. 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 the ten thousands digit of 6285780121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p - 85 = 0. Let g = -30 - p. Is -13 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 2137\nAnswer: 854.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299 + -295. Find s, given that -63*s**3 - 134*s**4 + 177*s**2 - 36 + s**4 - 8*s**r + 84*s - 21*s**5 = 0.\nAnswer: -6, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 394. Suppose -q + c = 4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2, 42581, 0.25?\nAnswer: 42581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -12225?\nAnswer: 12226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c - 104. Let y(d) = 3*d + 35. What is -4*a(i) - 14*y(i)?\nAnswer: -2*i - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**5\/10 - w**4\/12 - w**3\/6 + w**2\/2 + 19*w - 7. Let p(m) = 5*m**3 + m**2 + 3*m - 2. What is -4*p(d) - 9*s(d)?\nAnswer: -2*d**3 + 5*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 1124?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/3)\/2*0. Let y be u*(-3)\/24*-4. Let p(a) = -4*a**2 - 4*a + 31. Let b(j) = j**2 + j - 10. Let x(t) = -7*b(t) - 2*p(t). Determine x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -15 + 18 + (2 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66766 = 17*w - 24*w. Is (-1 - 0) + w - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 39*g + 233. Let b be y(-6). Let i be 3\/(-9)*-3 - -2. Suppose 2*t = i*w + 8, -12 = 2*w + 3*w - 2*t. Is b greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6036545, 6036538, 6036533, 6036530, 6036529?\n\"Answer: t**2 - 10*t + 6036554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = -592. What is the remainder when o is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/21 - (-2)\/7. Let o(j) = -b*j - j + 2*j. Let w(d) = -29*d**2 + 8*d + 8. Let n(k) = -19*k**2 + 5*k + 5. Let a(g) = -8*n(g) + 5*w(g). Give a(o(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4522922.\nAnswer: 2, 2261461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*(b*b**(-6\/5))\/b*((b*b\/b**(1\/2))\/b)**19)**(-2\/33) assuming b is positive.\nAnswer: b**(-41\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3188 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*s + 3*v - 52, -3*v = s + 16. Let d = s + 6. Let u = 2 - 4. Sort 3, d, u in ascending order.\nAnswer: d, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -627, -2583, -5837, -10383, -16215?\n\"Answer: y**3 - 655*y**2 + 2*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*q + 4*g + 132, -121*q + 119*q = 6*g + 34 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 100. Calculate the smallest common multiple of 6 and x.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*d*d**(-6)*(d*d*d*(d**(-1\/3)*d*d)\/d*d)**(-37)*((d*d\/d**(-1\/4)*d)\/d)**(-11\/6)*d**(2\/7)\/(d**(2\/3)*d) assuming d is positive.\nAnswer: d**(-29933\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-78))\/((-21)\/18)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*q**3\/2 + 12489*q**2\/2 - 41235*q + 24708 = 0. What is q?\nAnswer: -284, 2\/3, 29\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + 6 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13409 and 506?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17408408?\nAnswer: 2, 17, 19, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 503 + 433 = 0. Let j = k - -3119\/20. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37904 is divided by 234?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 5) to base 15\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 + 25\/9. Let o = s - 0. Suppose 0 = o*m - 128 + 23. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4488 - 4479. Solve m = 2*h + j, 2*m + 6*h = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 3:19 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -28*i + 4. Let d(g) = 23*g - 3. Let u(n) = -7*d(n) - 6*h(n). Let j(l) = -l. Calculate -6*j(p) - u(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -54\/107 (b) 1\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 21. Which is the nearest to 0.2? (a) -0.2 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -78, -6, 1\/3, 2015, -1\/8?\nAnswer: 2015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -12. Let d be (48 - 0) + (-1 - 0). Suppose -3*m - d = -203. Calculate the least common multiple of m and w.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -8 (b) -1 (c) 6.3 (d) 1\/6 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2396040439 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (268\/(-1407))\/(-1*12\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*r + 59, 3*y = 3*r - 2*r + 83. Calculate the lowest common multiple of y and 1420.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210404312 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3269988)\/10)\/(-3) - (-10)\/25. What is y rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 5 = 3*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0364 + -0.3636. Which is the closest to 0.3? (a) m (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 - 2*r**3 + 2*r**2 + 7*r + 3. Let a be k(5). Solve 6 = h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 - 4*w - 1. Suppose 20 = 4*q, 4*m = -m + q. Suppose 4*j = y + 5, -y = j - m - 4. Let g be (-3)\/(1*(y - 4)). What is k(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d + 194 = 4*u, 5*d - 265 = -5*u. Suppose 0 = -427*p + 490*p - 1890. What is the least common multiple of u and p?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*q + 16 - 4, -2*q = 2*m - 8. Suppose d + f = 3*d + 212, 5*d + q*f + 530 = 0. Let l = 13 - d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, v: 7}. Give prob of picking 3 v.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/120 + i**5\/3 + i**4\/24 - 10*i**3\/3 + i**2 + 129. Let n(p) = 0. What is p?\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 2:22 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1548*d - 47718 + 29819 = -3045*d + 69368 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154455049.\nAnswer: 7, 22065007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2569430535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -12 + (-2 - -24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -48 + 78 + -19 + 5. Solve 11*k = 5 - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*o + 179*o = 55. Suppose 0 = o*f + 13 + 86. Let w(q) = -q**3 - 8*q**2 + 10*q + 8. Give w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -162\/19 + 160\/19. Which is the closest to 2? (a) -7 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9135087 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28231424 + -0.2.\nAnswer: -28231424.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**2 - 5*g**2 + 13*g**2 + 2*g - 8*g**2 to the form m*g**2 + w*g + i and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111348.9630059 + 111349. Let n = -0.03 + 0.067. Let y = u - n. Round y to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2920 + 145 + 62*r - 62*r + r**2 in the form k*r + v + q*r**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 2, r: 2, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -262 + 3404\/13. Let p = -439\/56 - -65\/8. What is the third smallest value in i, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*f = -43, -4*f - 34 = 2*u - 0*f. Calculate the smallest common multiple of u + 32 + -1 + -2 and 11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 15 + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5055097524 and 5.\nAnswer: -5055097519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3 - 2593544*r**2 + 25935590*r - 64839100 = 0.\nAnswer: -1296782, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 184, 160, 120, 58, -32, -156, -320?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 2, n: 1, w: 7, o: 4, r: 1}. Give prob of picking 1 o and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/15 - 871*f**3\/5 + 1306*f**2\/5 - 10671*f. Suppose i(z) = 0. What is z?\nAnswer: 1\/2, 1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-370)\/180*4032\/112?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276804247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24384, -49372, -74388, -99432, -124504, -149604, -174732?\nAnswer: -199888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44.4 and -0.5.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/8 + (-4)\/(-16). Suppose 0*h = -4*h - 2*l + 226, 2*h + n*l = 128. Calculate the remainder when h is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/3)\/(y**(-9\/2)\/y*y)*(y**3)**(-5\/18) assuming y is positive.\nAnswer: y**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 772314630 rounded to the nearest 1000000?\nAnswer: 772000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/22782895 and -83\/18226316.\nAnswer: 91131580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {o: 1, f: 4, c: 1, s: 5, j: 1, i: 7}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 340749595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-15)\/(-9)) + 0. Let p be d + 0 + 2093\/(-689). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 158*n**3 - 4581*n**2 - 27*n - 62. Give q(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**9\/168 + 43*r**8\/336 - 721*r**5\/20 + 593*r**2. What is the third derivative of b(y) wrt y?\nAnswer: 360*y**3 + 2580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*k**4 - 14*k**2 - 4*k.\nAnswer: 2784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 4*x**2 - 3*x - 2. Suppose 10*l = 2*l - 24. Let j be o(l). Let i be -2*(j - 1) - 3. Which is greater: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90642 greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -92. Suppose -6*v + 172 - 28 = o. Suppose u - v = -2*q, 0 = -2*u + 2*q - 7*q + 52. What is the highest common factor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 232724*b.\nAnswer: -b*(b - 232724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 56 = 13*n. Suppose 3*l - p - 1 = 4*l, p = -4*l + n. Suppose 6*a = 3*a + l. Let s(m) = -6*m**2 - m. What is s(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apbpwgp. What is prob of picking 1 w, 1 p, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 579178.42 take away 0.009555?\nAnswer: 579178.410445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 + 508 = 18*k. Let u = -2 - -3. Let c(j) = -41*j + 18*j - u + k*j. Calculate c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 73. What is the remainder when l is divided by (-6)\/(-15) + 73\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 63*z. Let v(s) = -41*s - 5. Let a(o) = 24*o + 3. Let i(p) = 5*a(p) + 3*v(p). What is i(t(b))?\nAnswer: -189*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 1. Suppose 104 = -248*o + 52 - 196. Put -23, -5, o, b in descending order.\nAnswer: b, o, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4680 divided by -18\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.49 times 244.7\nAnswer: -364.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 208*i - 3. Let j be v(52). Let r(y) = 3*y**2 - 3*y - 1. Let q(h) = -h**3 - 4*h**2 + 3*h + 2. Calculate j*r(g) - 2*q(g).\nAnswer: 2*g**3 - g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 10:09 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6851 is divided by 1300?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2\/2 + 8775*z\/2 - 13140 = 0 for z.\nAnswer: 3, 1752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 432, 1569, 3450, 6063, 9396, 13437?\n\"Answer: -2*y**3 + 384*y**2 - y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11) - (sqrt(1331) + -2*sqrt(1331))**2) + sqrt(11)).\nAnswer: -2662 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -613.73 + 634. Let p = 21.4 + -0.2. Let o = r - p. What is o rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r + 1. Let m be b(-3). Suppose -c = 2*g + 1 - m, -5*c = -2*g - 6. Determine y so that -9\/4 - 3\/2*y - 1\/4*y**g = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 2 d when four letters picked without replacement from {n: 5, d: 3, r: 1, l: 1, v: 2, y: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -1\/5*a**3 + 114\/5*a**2 + 0 + 232\/5*a = 0.\nAnswer: -2, 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times -6777007\nAnswer: -10165510.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*l**4 - 3*l**3 + 1 - 8*l**3 + 10*l**3 to j*l**4 + k*l + d + c*l**2 + q*l**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -127 + -2c?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11))**(-2\/19)\/(u**(1\/2)*u**(-8\/7)) assuming u is positive.\nAnswer: u**(479\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-42)*-3*(-7)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 l when four letters picked without replacement from lulullll.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966313*i**2 - 966317*i**2 + 8*i + 2 - 2.\nAnswer: -4*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3501.976 grams to kilograms.\nAnswer: 3.501976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.024 - 0.076. Let d be -7 + 3 - 2286\/(-567). Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 6, -4, 4, 432.\nAnswer: -4, -2, 1, 4, 6, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 38*g - 528. Calculate the remainder when o(-52) is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4397.\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2478094 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30888 = -1785*b - 826 + 84178 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64042 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504017818 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/12 - s**2\/2 - 2*s. Let r be h(-2). Suppose 0 = p + r*p - 140. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 22*n + 38*n)*(5 - 13 - 5 + (1 - 2 + 0)*(2 + 4 - 5)).\nAnswer: -868*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.87 times -238513\nAnswer: -207506.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1317185607 - -4?\nAnswer: 1317185612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -52 - (45 - -13).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.52511cm to micrometers.\nAnswer: 515251.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**7\/210 + f**6\/90 - f**3\/3 - 3*f. Let b(j) be the second derivative of k(j). What is the third derivative of b(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -2\/9 (c) 0.1 (d) 1.1 (e) 1\/4 (f) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 + 38 = 0. Suppose -5*i - 8 = -5*s - v, -i = 3*s + 13. What is the closest to 1\/2 in -2\/13, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 8:43 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(16)\/sqrt(4)) - (-2 + sqrt(12))) + sqrt(9)\/(-2*sqrt(3))*6 + -4.\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3\/3 + 42254*z**2\/3 + 960840*z = 0.\nAnswer: -68, 0, 21195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -19*h + 19*h - 21*h + 38*h. Let w(c) = 33*c. Give -5*a(n) + 2*w(n).\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -381*d**5 - 627*d**5 + 4*d**3 - 639*d**2 + 1275*d**5 + 38*d**2 wrt d.\nAnswer: 16020*d**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43.5 - -44. Let n be (12\/3)\/(-5*108\/(-30)). Which is the closest to 6\/17? (a) n (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347398861.\nAnswer: 4973, 69857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m\/(m\/(m**(-12)*m)))*m)**(5\/2)*(m\/(m\/(m**17*m)))**(-1\/91) assuming m is positive.\nAnswer: m**(5879\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 2. Let y(a) = 12*a**2 - 7. Let p be 189\/(-45)*1*5. Suppose 44 = z - 5*o, -4844*o = 2*z - 4846*o - 8. Calculate p*m(w) + z*y(w).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -13 (b) 2\/21 (c) 8 (d) 3 (e) 2\/53 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -863.973 + 865. Round k to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 8*k**2 + 5*k + 3. Is 7 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360414.0303 rounded to the nearest 100?\nAnswer: 360400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 9\/24 + ((-14330)\/(-144) - 20\/(-180)).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*d + 45, -21 = -4*r - 4*d + 3*d. Let w be (-3)\/r - 24409\/4. Let g be (-2)\/1 - (1 + w). What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let p = -18.1 - -12.2. Let r = -6 - p. Which is the nearest to r? (a) z (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 100947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1876*i - 40205 = -184657 for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (369\/(-246))\/((-7)\/(-2)). Which is the biggest value? (a) f (b) 19 (c) -5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 176\/10 + (-177)\/295. Suppose 0 = -5*o - 0*o + 5. Sort -3, f, o in increasing order.\nAnswer: -3, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -6*o - 18. Factor 13*h**5 - 13*h**4 - 31*h**5 - 3*h**o + 8*h**5.\nAnswer: -h**3*(h + 1)*(10*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2747 and 1312?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 43. Let f be x(23). Solve 20 = -f*s - 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 6*a - 3. Let v be q(5). Suppose f - v*f + 2 = 0. Solve 4*h + 19 = -f*x + x, -4*x - 4 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:59 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1251 - (2 - 4*(-3)\/(-12)). Find the second derivative of -h + 1250 - 25*t + 35*t**2 wrt t.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-3)*3*1. Let h be 16\/5 - v\/15. Suppose -4*u - h*r = -58, -2*r + 0*r = -2*u + 36. What is the remainder when 47 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h**2. Let a(i) = 4*i**3 - 8*i**2 - i - 4. Determine -a(x) + 3*m(x).\nAnswer: -x**3 + 2*x**2 + x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, w: 5, t: 5}. Give prob of sequence xxxw.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5\/7 + 6675*o**4\/7 - 305712*o**3\/7 + 1673832*o**2\/7 - 3240624*o\/7 + 2124720\/7 = 0.\nAnswer: -2270, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47477260603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -729 + 9571. List the prime factors of c.\nAnswer: 2, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 4*i**2 - 3 - 5*i**2. Suppose -4*h + 25 = 13. Give u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**3\/6 + 3*p**2 - 3231*p. Calculate i(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-248)\/1085)\/(3\/(-30))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 1\/13, 0.4, -5, 3, -1\/7.\nAnswer: -5, -1\/7, 1\/13, 0.4, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4865, 0, 1\/84, -2?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o - 186854 = -1089374. What are the prime factors of o?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*f**3 + 2*f - 7*f**3 + 16*f**3 - 1 in the form h*f + s + i*f**2 + l*f**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301*c**2*o*w + 3915*c**2*o - 2*c**2*w**3 + 19*c*o*w + 2*o*w**3 + 6*o*w**2 + 2212*o wrt c.\nAnswer: -602*o*w + 7830*o - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3019481?\nAnswer: 3019481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-140)\/(-30) - 8)*246\/(-2). Suppose -2*p + 13 = 3*x, 2*p - 4*x = -0*x - 8. Suppose -k = -8*o - p*o. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -979.5, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 263.9 + -268. Which is the smallest value? (a) u (b) -1 (c) -2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-47)\/(-8) - 6) + 196\/32. Solve w*c = -1 + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)*m)**(-1\/62)\/(m**(-3\/4)*m**5*m*m)*(m*(m*m\/m**(3\/8))\/m*m*m*m*m**(-12))**(-2\/97) assuming m is positive.\nAnswer: m**(-110213\/18042)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + -1) - (5 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 5493*v**2 - 11451649*v - 11446155.\nAnswer: (v - 7105)*(v + 1)*(v + 1611)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + (40 - -1 - (-184 - -199))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b2482 + -184?\nAnswer: 1b22cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-2*-1 - (-1 + 0 + sqrt(363) + sqrt(363)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1985\/3 - -3971\/6. Which is the closest to 0.2? (a) -0.108 (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(-195)\/10. Let z = -24 + l. Let v(p) = 15*p - 9. Suppose 0*h - 3*m + 27 = -2*h, 5*m = -4*h + 1. Let n(g) = -8*g + 5. Give h*v(u) + z*n(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10193*g**2 - 16. Let y(x) = -115521*x**2 + 182. Calculate 91*b(m) + 8*y(m).\nAnswer: 3395*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*c - 37*c - 34 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -238, -222, -178, -94, 42?\n\"Answer: 2*o**3 + 2*o**2 - 4*o - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1534.8 (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 13) to base 14\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 7, y: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*l**6 - 13*l**4 + 2854*l**2 wrt l.\nAnswer: -4800*l**3 - 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t + 0 + 4\/3*t**3 + 1\/15*t**5 - 1\/8*t**4 + 13*t**2. Is f(5) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Suppose o*z - p = 40, z + 0*z - 3*p = 22. Does 3 divide z - (-1 + 0 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-30)\/4)\/(1 + (-36)\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 5*d + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 3 (c) 1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpfpfmpfmmppmm. What is prob of picking 1 m and 2 p?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 179417.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -1, -1.1, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j**3\/8 - 82491*j**2\/2 + 299937*j\/8 + 14997\/4 = 0. Calculate j.\nAnswer: -1\/11, 1, 9998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 1:05 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*z**4 - 39*z**4 - 48*z**4)*(-4*z + 4*z + 2*z) - 5 + 5 + 2*z**5.\nAnswer: -126*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -72 - 270. Suppose -2*l + 983 = -3*a, -971 = -2*l - o*a + 18*a. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 11 = -3*v, k - 20 = 273*v - 268*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.17 and -2.57?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 - 2. Let v(f) = 11 + 4*f**3 + 0*f**3 - 14. Let b = -747 + 749. Determine b*v(d) - 3*u(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, t: 11, s: 1, c: 2, h: 1, q: 1}. What is prob of picking 1 c, 1 q, 1 t, and 1 s?\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-4472)*432\/(-540).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/2*(-14)\/21798. Let t = -117115\/52938 - c. What is the common denominator of t and -149\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 11791563*p**2 + 23583138*p = 0. What is p?\nAnswer: -3930523, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 22*f + 78. Let x be q(-18). Let j be ((-99)\/x)\/11 + 2. Factor 1\/2*c + 0 - 1\/2*c**2 - 1\/2*c**3 + j*c**4.\nAnswer: c*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.113 + 7.11285706. Round d to 6 dps.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12230200 (base 4) to base 16.\nAnswer: 6b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 2 - sqrt(336)\/sqrt(7)) + 0.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2607 divided by -364\nAnswer: 2607\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*k**2 + 6*k**2 + k**2 + (-4*k + k + 2*k)*(2*k + 4*k - 5*k) + k - 2*k + 2*k**2 + 0*k.\nAnswer: 18*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 12*g = -5*h + 42, 3*h - 24 = 4*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 731? (a) -1\/4 (b) -10 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times 14\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 176 = -0*c. Suppose c = -4*y + 5*y. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:54 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148 and (64 - -15) + 33\/(-3)?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = -4*w. Sort 10, 5, -2, w.\nAnswer: -2, w, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.205 + 0.795. Sort 1\/8, -4, y, -2 in descending order.\nAnswer: y, 1\/8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/72 of a hour in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213818669 and 1293?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(13) - (sqrt(13) - (sqrt(13) + 1)*4)**2) + (sqrt(832) + -1)**2).\nAnswer: -234*sqrt(13) + 4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1225\/3624 + 7\/151. Calculate the common denominator of 151\/78 and d.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, -5, 6 in descending order.\nAnswer: 6, 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2648 + -2744 - (-4 + 16).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/7 - 16*c**3\/7 + 24*c**2\/7.\nAnswer: 2*c**2*(c - 6)*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -482\/3 - -141. Let b = -19 - s. Find the common denominator of -29\/72 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 433 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1700813, 1700806, 1700805, 1700810, 1700821, 1700838?\nAnswer: 1700861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1365 + 1822. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/((-195)\/(-36))*7060\/6. Let r = 11571 - k. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -33*s**7\/14 - 29*s**4\/12 + 10*s + 7. Find the third derivative of d(k) wrt k.\nAnswer: -5940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30511909 * -0.1\nAnswer: 3051190.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/((-6)\/(-18)). Let n(h) = 17*h**2 - 2*h - 1 + 2 + 1 - 9*h**2. Let t(k) be the second derivative of k**4\/12 + k. Determine c*n(b) + 6*t(b).\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55.1 + -51.1. Let z = 1.72 - 1.7. Let j = z - 2.02. What is the third biggest value in -5, j, p, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/5 (c) -3 (d) 10 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - ((-154)\/(-847) + (-761)\/11). What is the greatest common divisor of j and 5675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 19*u + 49*u - 68*u - 20.\nAnswer: 2*u**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0121364062 to 6 dps.\nAnswer: -0.012136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 6*s - 9. Let c be k(4). Suppose 4*h + 14 = -0*n + n, -4*h = 2*n + 8. Put h, 4, c in decreasing order.\nAnswer: 4, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*z = -22, n + 348 = -4*z + 349 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1267, 2538, 3819, 5116, 6435, 7782, 9163, 10584?\n\"Answer: u**3 - u**2 + 1267*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - 2*b**2 + 4*b. Let d be k(-3). Suppose -549 = -40*x + 491. Suppose -d*z = -x*z. Which is smaller: 1\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 379 + -373. Is ((-164)\/8)\/(-1)*t + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602481.\nAnswer: 3, 11, 18257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 207\/92 + -2 + 0\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-15) - (-1466)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944 is divided by 924.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**6\/140 + c**5\/20 + c**4\/28 - 3*c**3\/14 - 25*c**2. Solve b(z) = 0 for z.\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.47? (a) 6 (b) -0.1 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -k + 4*g - 2, 3*k - g = -17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 493858772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0*z**3 + 0*z**3 - z**3) + (24 + 89*z**3 - 47*z - 23 + 48*z)*(-3 - 3 + 3).\nAnswer: -265*z**3 - 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356687?\nAnswer: 19, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -63300 to the nearest 1000.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3094.53304 rounded to the nearest integer?\nAnswer: -3095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17.976 times -0.4\nAnswer: -7.1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 50 - 22. Solve 11*n + i = 15*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16989 + -11941. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(8\/3 + -3)*(-714 + 713)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2284 is divided by 1115?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*x - 686*x + 297*x - 2067*x - 93192 = 0 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 901\/4349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7008, 28057, 63148, 112287, 175480, 252733, 344052, 449443?\nAnswer: 568912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533936 and 6188?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46030599497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 - 345*r\/2.\nAnswer: 3*r*(r - 115)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1462 - 1359. Put 3, h, 0.2 in descending order.\nAnswer: h, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p\/(p*p**(3\/4)))\/p)\/p)\/p)**28*((p*p**(-5\/9)\/p*p)\/p)\/p**(-2\/13) assuming p is positive.\nAnswer: p**(-9056\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - (-56 + 64)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3876?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 + 4 = 0. Let j(d) be the first derivative of 10*d**3\/3 + d**2\/2 - 3*d - 4. Let n be j(-2). Solve -15 = w*y - n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 2 + 2)*(9412 - 4714 - 417*d - 4714) to t*d**2 + c*d + n and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: aa5 (base 14) to base 9\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w + 3. Let m(y) = -y**3 + 4*y**2 + y - 2. Let q be m(4). Suppose 0 = -5*f + 2*o + 2 + 13, -q*f - 2*o = -6. Calculate p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2412420269 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:50 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391722288.\nAnswer: 2, 3, 977, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -21. Let m = y + 27. What is the greatest common factor of m and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 226, -13, 0.1, 5\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {u: 1, o: 2, e: 1, j: 3, l: 3, t: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 3, n: 2, j: 8}. Give prob of sequence hhu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.083018 minus -6?\nAnswer: 3.916982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12443 (base 7) in base 5?\nAnswer: 101224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - -1721. Let x = -553 + i. Let k = x - 1314.99999459. What is k rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3022312331 (base 4) to base 7\nAnswer: 10030322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 31 + 4. Let a = x - 65. Which is smaller: -31 or a?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -46.6.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.16 (b) 0.4 (c) -3\/4 (d) 431 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -34 - 6. Suppose -5*y + 2*y + d = 4*h, -3*h + 4*y + 31 = 0. Solve -3*v + h - 14 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(119\/68)*63\/6*(-3)\/225?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - 2*c - 2*c**3 + 6*c - 2 + (-43*c - 5*c**2 + 43*c)*(5*c - 5*c - 2*c) + 3*c**3 - 2*c**3 + 0*c**3.\nAnswer: 9*c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -260\/9 + 29. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 37*z + 26. Let u(s) = -8*s**2 - 15. Calculate x(u(w)).\nAnswer: -296*w**2 - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4867200 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2340)\/(-975) + 372\/(-130)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 7. Suppose j = 2*j - 3*y - 8, 0 = 5*j + y - 24. Suppose -z - z - 76 = -4*r, 5 = j*r. Let u = 36 + z. What is l(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 318687913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.088 + 0.128. Which is the closest to -2? (a) -8 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74b + 28?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-440)\/14850*(-3)\/2?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -292620120414.\nAnswer: -292620120417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let m(h) = 8*h + 1. Let f(b) = -m(b) + 3*q(b). Differentiate f(r) wrt r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.21959, 2485, -6?\nAnswer: 2485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = -16. Suppose -w - v = -5*w. Suppose 167 = 5*a + d - 4*d, -a - w*d + 15 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -352\/15 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 112\/633515, 7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/2*-2*-1. Let d = -12 - o. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 13. Suppose -h*n = -10*n + 120. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 46*p = 10. Let h be -6216 - (p + -6 + -2). What is h rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7390107 - 0.03.\nAnswer: -7390107.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/(-624)*(-4)\/14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 655 + 55 - 156 - 2*j as z*j + q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let h = 2 - x. Let g = 5422 + -5426. What is the second smallest value in g, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -3)\/12*-1*-6. Suppose -5*x = -u + 14, 5*u - a*x + 5*x = 42. What is the second derivative of 11*m + 0*m + 10*m**5 + u*m wrt m?\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*t - 5, -5*t = -2*u - 1035 + 1047 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -402.\nAnswer: 7\/402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {t: 3, i: 2, b: 2, d: 6, w: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 7*h**2 - 3*h - 16. Let p be o(-7). Suppose 0 = -c + 2*c - k - 22, -p*c + 150 = 5*k. Suppose 94 - c = 4*f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4155084.\nAnswer: -1\/2077542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -p + 12, -3*p = -2*p + 5*s + 20. Let h be 3\/(12\/16) + -41. Is h\/1*(p + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + 0.8. Let k = o + -1. Let c = 1 - k. Which is greater: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47\/(-13) + -1)*1503\/3006\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216004132.\nAnswer: 2, 23, 2347871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, t: 6, z: 2, x: 2, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 29, 54, 95, 158, 249, 374?\n\"Answer: f**3 - f**2 + 11*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 20. Let s be i(15). What is the units digit of ((-264)\/30)\/((-4)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 20 = 88. Let g be 83\/9 - (2 - 32\/t). Let o = 21 - g. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 318271 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4353, 10574, 16791, 23004, 29213, 35418, 41619?\n\"Answer: -2*l**2 + 6227*l - 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 16 - (8 + -37 - -6 - -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1530 - -1527. Let i = -42 + 40. What is the closest to i in 5, -0.05, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-5\/6)*v)\/v**(-6\/7)*v**(-1\/4)\/((v\/v**(1\/4)*v)\/v))\/(v**(3\/8)\/((v\/(v\/v**(-7\/4)))\/v)*(v**6\/v)\/(v**(-6\/7)\/v)) assuming v is positive.\nAnswer: v**(-175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*z**2 + 51*z**2 - 25*z**2.\nAnswer: 143*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3459, -3465, -3473, -3483, -3495, -3509, -3525?\nAnswer: -3543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -12 + 30 + (-16 - 5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*r + 114*r - 28*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.073 rounded to the nearest integer?\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 1 + 5)*(100*p**2 - 93*p**2 + 36*p**2) + (-2*p - 3*p + 6*p)*(2*p - 2*p + 2*p) to f + n*p + y*p**2 and give y.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/507483 and -1\/54?\nAnswer: 3044898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 4. Let r be d(-8). Suppose -63 = 18*h + 8*h + 15. Sort -2, 2, r, h in decreasing order.\nAnswer: 2, -2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 22 + 2. Suppose -p*w = -19 - 1. Suppose w*t - 1 = 4*v - 13, 4*v = -2*t + 6. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94077.21 to the nearest one hundred.\nAnswer: -94100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/21)\/t)\/t)\/t)\/(t\/t**12)*(t*t**(-1\/18))\/(t**(3\/10)*t) assuming t is positive.\nAnswer: t**(2438\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 930f - a1?\nAnswer: 926e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3201*w = 3164*w - 444 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1625 (b) 0.05 (c) 2\/7 (d) 0.03 (e) 68 (f) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 120*c**2 + 3*c**3 + 4716*c**4 - 3*c**3 - 9426*c**4 - c + 4711*c**4 to p*c**3 + x*c + t*c**2 + b*c**4 + k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*l = 4, 0 = -7*h + 2*h - l - 6. Does 14 divide -3 - (h + 253)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 39*d**2 + 0 + 0*d**4 + 28\/3*d**3 + 0*d - 37\/12*d**5. Find the first derivative of y(l) wrt l.\nAnswer: -370*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q + 5885 = 5*l, -3*q + 3515 = -l. Suppose -75 = -9*h - q. Is h less than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -94?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1568273 - 5?\nAnswer: -1568278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 3. Let q be t(5). Let m(x) = x**2 + x - 1. Let a be m(2). Suppose 5*u = -a*d + 40, 0*d + 24 = 3*d + 5*u. Solve -6*n = -q*n + d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.53 + -0.33. Let g = l + -0.2. Let u = g + 0. What is the second biggest value in -3\/8, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20713)\/231 - -85) + (-6080)\/(-1308)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*k - 0*k. Let g = k - -1. Let d be g*(9\/3 - 4). Calculate the highest common divisor of 33 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + 0*p - 7*p)*(-1 + 1 - 4*p)*(-3*p + 0*p + p) as a*p**3 + s*p**2 + l*p + y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 145840827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*s - 68 - 100. Calculate the remainder when 58 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/5*(-9)\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(7 - (-8)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/(-3*(-60)\/(-702))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -4\/5 (c) 31\/17 (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 138\/5 + 6\/15. Let j = -11 + s. Let o = j - 3. Solve 2*g = 3*g + 4*b - 4, -4*g = b + o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 6*r - 3. Suppose 2*f = -l + 15, -2*f + 13 = 2*l - 5. Let j be ((-2)\/3)\/(f\/27). Let h be 0\/j + -2 + -3. What is p(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 1 + 100\/32. Let q = 11 - 19. Let o be q\/(-18)*(-15)\/(-70). Sort i, o, -4 in increasing order.\nAnswer: -4, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -483 greater than -483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -11*f**6\/10 - f**4\/12 + 1901*f**3\/3 + 173*f**2 + f - 4. Differentiate m(b) with respect to b.\nAnswer: -396*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 z when three letters picked without replacement from {z: 3, n: 4, p: 1, u: 9, b: 2}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 7*k - 23 = -3*k, 5*k = -4*p - 13. What is the remainder when 38 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) - 42\/(-9). Suppose 0 = -j - b + 1 + a, 2*j + 5 = b. Solve n - 12 = -2*i, j*n + 13 = 3*i - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -253? (a) -3 (b) 2\/5 (c) 3 (d) 1\/4 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4149933 by -16.\nAnswer: -4149933\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 555386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -0.45, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2 + 6\/4 + 7. Let m be s\/20*-1*2. Let d(y) = -10*y**3 + y**2 - 1. Calculate d(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 3*c**2\/2 - 3*c + 1. Let a be i(2). Suppose 82 + 20 = a*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -40. Let y(h) = -626*h**3 - 6*h**2 - 7*h + 4. Let i be y(t). What is i rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(10)*-1*4)\/(sqrt(35)\/(-3*sqrt(112))).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(4\/17))\/h**(16\/3) assuming h is positive.\nAnswer: h**(-131\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-709*p + 709*p - 5507*p**3)*(1 - 3 + 3) as j*p + y*p**3 + h + u*p**2 and give y.\nAnswer: -5507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 338312 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2431606, 2431607, 2431608, 2431609, 2431610, 2431611?\n\"Answer: u + 2431605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18929 times 5?\nAnswer: 94645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11787.\nAnswer: 3, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzdd when four letters picked without replacement from qgqdddgggdzzdgqggdzd.\nAnswer: 21\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -175. Let f = m - -75. Let w be (-8)\/(-42)*(f + 3\/4). What is the biggest value in 1, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29491 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2 + 3*w - 21. Let s(k) = k**2 + k - 1. Determine -n(m) + 3*s(m).\nAnswer: m**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664809 is divided by 664780?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6909 to 2 decimal places.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k + 24 = -107*k. Let t be 1*5\/((-35)\/k). Which is the fourth smallest value? (a) 1\/5 (b) t (c) 0.1 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - r**3)*(-r - 2*r - 2*r) - 1 + 1 - r**4 + 31*r - 31*r - 3*r**4 - 2*r**2.\nAnswer: -19*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qeqeqqqeqqeqeqqqeqe?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkn when three letters picked without replacement from hknhjkkkhkhkhkhh.\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26600645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4655386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*s - 2. What is the least common multiple of s and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -6, -27, -76, -165, -306, -511?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(25)\/sqrt(5).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 277 - 125. Suppose -10*i = -k - 1. Solve -i*l + 4*l + 4 = -2*c, 4*c = 2*l + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45964 is divided by 22962.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 13 = -h, -244263*h + 244262*h + 2 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Suppose 4*l + 8 = 24. Let y = 9 - l. Solve -4*b + 15 + 2 = -5*c, -y*c - 20 = -x*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**7\/105 - 5*b**3\/6 + b**2\/2 + 3. Let y(d) be the second derivative of z(d). What is the derivative of y(h) wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5860569 divided by -6.\nAnswer: -1953523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Let q be 0 - k - (5 + -3). Let u = q - -3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267\/67 + 37331\/8174. Calculate the common denominator of t and 7\/3.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032554150 + 3?\nAnswer: 1032554153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2509403?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3443872 to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 2}. What is prob of sequence ro?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:09 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -23*q + 1850. Let a(m) = -8*m + 613. Determine 17*a(u) - 6*c(u).\nAnswer: 2*u - 679","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. What is the second derivative of 11*a**2 - 4*a - 2*a**v + 5*a - 11*a**2 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/2 + 55937268*b - 1564488975651912 = 0.\nAnswer: 55937268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = s + 4*s. Let m be (-2)\/s + 198\/(-15). Let n = m - -20. What is the lowest common multiple of n and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/230340 and -107\/660.\nAnswer: 230340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 889344 + 22208 = 32*a. What are the prime factors of a?\nAnswer: 2, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43284051 divided by -27?\nAnswer: -1603113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, -2 in increasing order.\nAnswer: -2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15217 + -15208. Let z(g) = -g**2 - 2*g + 16. Give z(n).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:44 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*j - 5*j. Suppose 5*l - 8 = 3*t, j*l - 4 = 5*t - 12. What is the tens digit of ((-15)\/l)\/((-6)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9626 - 9625. Which is the closest to 35? (a) r (b) -0.1 (c) 2 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z = 347 - 59 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-14))**(2\/15) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265093363 to the power of 1\/2, to the nearest integer?\nAnswer: 16282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -3 + -1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34\/(-119) - (9\/21)\/3*-709 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3.7, -1\/11, 394\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 110, 246, 382, 518, 654?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:52 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387?\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 2\/5 (c) -4\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13100 and 786?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**2 - 1209*n + 404*n + 403*n + 402*n.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y**2 - 59*y**2 - 80*y**2 + 204*y**2 - 77*y**2.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235405 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*j + 500, -4*r - j = -30 - 470. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2 - 26*w. Let z(a) = -3*a. Calculate i(z(u)).\nAnswer: 72*u**2 + 78*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - (-5 + 2\/12))*-30. Solve -3*y = -2*v - 4 - 1, -4*y = -v - o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + -12. Let h = p + 15. Let k = h + 7. Put 2, 0, k in descending order.\nAnswer: 2, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5 + 3. Let v = 3 + f. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/(95\/152).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 32. Suppose u = 3*x - 24. Calculate the remainder when 39 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-2 + (-3 - 2) + (-23 - -30)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:01 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15934*j = -15937*j, -4 = -2*l + 3*j + 5 - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 14 - 8. Let q = p - -14. Let w = 37 + -22. Calculate the greatest common divisor of w and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 70, 150, 260, 400?\n\"Answer: 15*z**2 + 5*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 93, -15 in descending order.\nAnswer: 93, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/926 and -73\/2?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229593839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2 - 176*m - 174 = 0.\nAnswer: -87, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/g**(1\/5))\/(g\/(g*g**(1\/2)*g))**(-2) assuming g is positive.\nAnswer: g**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -19*l**3 - 2*l**2 + 2*l - 1. Let d be b(1). Let i = 24 + d. Solve -i*y = 12, -v + 5*y - y = -8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q - 3*m, -5*q - 9*m + 13*m - 3 = 0. Let k(v) = -3*v**3 - v. Let s(x) = -x**3 - x. Determine q*k(h) - s(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5*w = -586. List the prime factors of w.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 214, 393, 586, 799, 1038, 1309, 1618, 1971?\n\"Answer: o**3 + o**2 + 169*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 48. Let a = 4 + 11. Put i, a, -5 in descending order.\nAnswer: a, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/23, 2\/795.\nAnswer: -1\/4, 2\/795, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 294*o. Let v(b) = -2*b - 6224 + 6224. Give u(v(f)).\nAnswer: -588*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 12\/4 + (-8)\/(-2). Calculate the highest common divisor of 24 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 33 = 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 8. Let i be t(6). Let o = 2.35 - 2.75. Which is the closest to -0.1? (a) 2\/13 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 + 8*h + 11. Let u be w(-8). What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 17 + -127 + 73 + -38?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**2)**(2\/171)\/(((i*i**(-4\/5))\/(i**(2\/3)\/i))\/(i\/i**(-1\/5)*i*i**7)) assuming i is positive.\nAnswer: i**(1486\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -24, -97, -210, -369, -580?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11525 (base 6) in base 15?\nAnswer: -78e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + -0.142. Let c = u - 107.098. Let w = c + 117. Round w to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o = 36. Let t(l) = -l**3 + 9*l**2 + 2*l - 3. Suppose 3*p - b = 98, 5*p - 56 = 5*b + 104. What is the least common multiple of t(o) and p?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*u - 5*n - 240, -3*u = 2*n - 124. Let l = u - 0. Let f = l + -42. What is the lowest common multiple of f and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**7\/420 + o**6\/360 - o**3\/2 + 2*o. Let t(l) be the second derivative of s(l). What is the third derivative of t(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:20 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42.8868m?\nAnswer: 42886800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1324709122 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = -3*q, 3*y - 2 = 1. What is the units digit of (20\/(-25))\/(q\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 2*b - 2*b)*(0*b**2 + 0*b**2 - 3*b**2) to the form p + d*b + t*b**2 + c*b**3 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 176*d**3\/3 - 4678*d**2 = 0?\nAnswer: 0, 7017\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*s = 136*s + 4. Calculate the lowest common multiple of s and (-4 + -6)*1\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -114*f - 16. Let i(o) = 71*o + 10. Let z(n) = -8*i(n) - 5*v(n). Let x(y) = y**2 + 80*y. What is z(x(g))?\nAnswer: 2*g**2 + 160*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is (-1584)\/(-20) - 2\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 621a43 (base 15) to base 5\nAnswer: 2143210223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - (-34 - -35) - 49 - -53.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28781 is divided by 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-9) + 4*(-2)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - (-4097)\/68. Suppose -4*y - 4*s + 165 = -75, -y = 2*s - q. Suppose -2*w - y = -6*w. What is the least common multiple of 55 and w?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - f. Let h be i(-1). Let q be (18\/(-8))\/(12\/(-32)). Suppose q*c - 3*c = 15. Solve h*n + 19 = 3*r + c*n, -3*r + 3*n + 9 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 135 - 105. What is the second derivative of 83*g - i*g + 2*g**2 + 6*g**3 - 2*g**2 wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -15. Let o = 11 - d. Solve 0 = o*g - 7*g - 2*h + 12, -g = 5*h + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/26, 0.3, 1, -4, -0.33 in ascending order.\nAnswer: -4, -0.33, -0.1, 1\/26, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -83*p**2 - 82*p**2 + 159*p**2 - p + 1. Let i = 0 + 1. Suppose -4*c + 3 = -i. What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -74 in descending order.\nAnswer: 2, 1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + 3313010230223?\nAnswer: 3313010231021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -792? (a) -8 (b) 2\/3 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 913615.2ml to litres.\nAnswer: 913.6152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -994616 - -994586.00083. Let p = 0.43 + -30.43. Let k = d - p. What is k rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k + 16 = 0. Let l(m) = m + 2. Let i be (4\/(-10))\/1*-15. Let v be l(i). Solve k*a - v = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from ttbtttttbtbttbttbt.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 101 + (-8079 - -7928)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/12)\/(1\/(-4)). Suppose -4350000 = m*g - 5*q, 5*g + 3480000 = g - 2*q. Round g to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000 (base 11) to base 3\nAnswer: -10122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/10 - 7\/30. Which is the nearest to 2? (a) l (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:47 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.729 times 2.3?\nAnswer: -330.5767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2188 + 41*r**2 + 39*r**2 + 2198 - 4386.\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 + 18825*j\/7 + 1505898\/7.\nAnswer: -3*(j - 6354)*(j + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -41*t - 695. Let z be d(-17). Solve 5*f - q - z*q - 14 = 0, 5*q = -f - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.98129581 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggggggggoogggogog. Give prob of sequence go.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**(-4)\/((((o\/(o\/(o**8*o)))\/o)\/o)\/o)**(-4) assuming o is positive.\nAnswer: o**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 100084.\nAnswer: 21\/25021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24163 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14545334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 25, 43, 65?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 9 - 2)*(-2*w**3 + 3*w**3 - 14*w + 16*w) in the form b + x*w**3 + s*w + t*w**2 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5 - 1) + (-17 - (-50 - (-27 + -20)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, n: 3, c: 4, a: 3}. What is prob of sequence nkkc?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 331331 and 141999.\nAnswer: 993993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kootyvxotxookkt. Give prob of sequence xoxt.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 797671 to the power of 1\/2, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - -0.05. Let g = k - 0.02. What is the nearest to 2\/7 in -0.4, -1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.30973 - 7.30973. Which is the nearest to -29? (a) 18 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000110101011 (base 2) to base 16.\nAnswer: -a1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.987 - 0.013. Let d be (-12)\/102 + 27\/(-204). Which is the nearest to 1? (a) 5 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(2\/5))\/(y*y*y**1*y)*y**(2\/7)\/y**(1\/8))\/((y\/y**(1\/5)*y*y\/(y**(3\/2)\/y))\/(y**(-2\/11)*y\/(y*y**6*y)*y)) assuming y is positive.\nAnswer: y**(-33021\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -354 - -634. Suppose -3*d - 2*d = -a. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88\/(-198) + 488\/(-36). Put p, -2\/9, -10 in descending order.\nAnswer: -2\/9, -10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161660 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 + 7 = 0. Suppose -3*s + 24 = -4*r, 2*r - m = 4*s - 37. Calculate the remainder when 142 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, -0.008, -0.5, 2, -35, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 17036514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -204, -366, -518, -654, -768?\n\"Answer: a**3 - a**2 - 166*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10234, 15807, 21380, 26953, 32526, 38099?\n\"Answer: 5573*l + 4661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (6 - -6)) + -26 - -11 - (2 + -3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 4 (c) -99 (d) 0.1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - 3.02. Let g = -0.21 + 0.12. Let h = -0.09 - g. Which is the second smallest value? (a) 2\/5 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/60 - 5*o**4\/24 - o**3\/3 - 11*o**2. What is y(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 713, -5, 4, -1, -112.\nAnswer: -112, -5, -3, -1, 1, 4, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/120 - 7*j**5\/30 + 2*j**4\/3 + 16*j**3 - j**2 - 31*j. Let c be o(12). Solve -p - 8*p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + d**3 - 55 + d**2 - d + 5*d + d + 54. Give o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/71 + 157\/355. Which is the closest to -0.1? (a) -0.3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363320 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-22)\/(-616)*-6*30\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923645 is divided by 306605.\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088 divided by -772?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, h: 9, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1430*d - 6362. What are the prime factors of c(-14)?\nAnswer: 2, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1748*s**3 + 45*s**2 + 455282?\nAnswer: 5244*s**2 + 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 7*p + 5 = 0, -2*p + 16 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7580854 to the nearest integer?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1534, -207 in ascending order.\nAnswer: -1534, -207, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-75)\/35) + -2. Which is the third smallest value? (a) -7\/3 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from zxr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 31273\nAnswer: 1\/31273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = 14*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214833 and 2166.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = 2*z + 3*y, 0 = 4*z + 3*y + 6. Put 2, -36, z in decreasing order.\nAnswer: 2, z, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -25b0?\nAnswer: -25ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**5\/20 - v**3\/6 - v**2 - 23*v. Let o(s) = s**3 - s - 1. Let i = 33 - 35. Calculate i*o(h) + z(h).\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7564\/597 at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203902?\nAnswer: 2, 269, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -36, -53, -70, -87?\n\"Answer: -17*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {w: 1, m: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - q + (2*q - 6*q + 2*q)*(0 - 2 + 1) + 43*q - 2*q - 16*q as p + w*q and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 1 in increasing order.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*m**3 + 13*m**3 + 343722 - 345034 + 409*m**3 wrt m.\nAnswer: 1350*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -853 + 836. Let z be 2\/(8 + q - -10). Factor -z + 14\/3*a**2 - 2\/3*a + 10\/3*a**3.\nAnswer: 2*(a + 1)**2*(5*a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 22, 2, 24.\nAnswer: 1, 2, 3, 22, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -897 + 1?\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.56 + 0.56. Let s = -41 - j. Let a = s + 21.2. What is a rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffoocof. What is prob of picking 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.69596 and -4?\nAnswer: -6.78384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:15 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -949, -934, -823, -622, -337, 26, 461, 962?\n\"Answer: -k**3 + 54*k**2 - 140*k - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Let m = 2 + 2. Let z = m + -2. Is h < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 4:56 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 132, 155, 172, 177, 164, 127, 60?\n\"Answer: -m**3 + 3*m**2 + 21*m + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*y**3*z + 18755645*y*z - 388*z + 326857 wrt y?\nAnswer: 12*y**2*z + 18755645*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 3630*k**2 - 165555*k - 169180.\nAnswer: 5*(k - 44)*(k + 1)*(k + 769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.5 + 2.5. Let w = -10.1 + y. Suppose -3*p - 3*a + 23 = -1, 0 = 4*p - 5*a + 13. Is p smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 263*k + 105. Is q(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uouu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96 and 43.4.\nAnswer: 4166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*z + 12 = 0, 30*d - 22 = 28*d + 3*z. Let k(x) = -x**3 + 12*x**2 - 33*x - 7. Give k(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 20*a - 20. Let r be w(8). Suppose -x = -3*x + r. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(2) + sqrt(28)\/(sqrt(7) - sqrt(28)))\/(5*(-3*sqrt(18) + sqrt(2))).\nAnswer: -3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*f + 20768 - f**3 - 20768 + (-f**2 - 2 + 2)*(-2*f - 2*f + 2*f).\nAnswer: f**3 - 105*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-97654)\/44 + 4\/(-2). Let y = -2222 - p. Calculate the common denominator of -5 + 4 + 354\/36 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3955*b - 3997*b = 0. Let s(n) be the third derivative of 2\/5*n**5 - 1\/4*n**4 - 17*n**2 + 0*n**3 + b*n + 0. What is the second derivative of s(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a factor of 428074036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let v(g) = g - 4. Let a be v(3). Let x(q) = -23*q**2 - 2*q - 2. Let p(s) = a*x(s) + 3*l(s). Is p(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 27*i**3 + i - 1. Let h(m) = -m - 4*m - m**2 - 3*m**2 + 5*m**2. Calculate the remainder when t(1) is divided by h(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1122\/7 - -160. Let f = -1 - 0. Is j at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -820, -796, -772, -748, -724, -700?\n\"Answer: 24*z - 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+18815615\nAnswer: 18815614.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:39 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 25*a - 1. What is l(-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 21*l - 28. Let k(m) = -4*m**2 - 83*m - 119. Give 26*i(y) - 6*k(y).\nAnswer: -2*y**2 - 48*y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, 1 s, and 1 i when four letters picked without replacement from iecqsej.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/6*q - 1\/3*q**3 + 0 - 7\/6*q**2.\nAnswer: -q*(q + 1)*(2*q + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -3*i - 2*p, -205 - 158 = -3*i + p. Let b = i + -32. What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21014 + -311?\nAnswer: -21325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 946.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149607 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 5, z: 7, n: 5, u: 1}. What is prob of sequence nh?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*p + 103*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -582 (b) 3 (c) 0.1 (d) -2\/3 (e) 5176 (f) 5 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 135710 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 485819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 23*q - 10. Let z be l(-17). Suppose 4*y = a - 14, -z = -4*a - 2*y - 0*y. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/34*((-35926)\/(-21252) + (-6)\/4).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*v - 245 - 999 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2\/5*y**3 - 36\/5*y + 0 + 22\/5*y**2 = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5\/3, -4\/33, -2\/3 in ascending order.\nAnswer: -5\/3, -2\/3, -2\/5, -4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:45 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -6 (c) -0.17 (d) -5\/6 (e) -17 (f) -1\/4 (g) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 1, s: 2, m: 4, t: 2, n: 1}. Give prob of sequence vm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/22 and -15\/2896?\nAnswer: 31856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i - 343 - 166 - 931 = 0 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*q. Let t(d) be the second derivative of 0*d**5 + 0 - 1\/15*d**6 + 1\/2*d**2 - q*d + 0*d**3 + 0*d**4. Differentiate t(i) with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -21. Let u = s - -6.1. Let y be 2\/(-3) - (-2)\/(-6). Which is the closest to u? (a) -2\/3 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021305 rounded to 4 dps?\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let d(i) = 90*i**2 + 1. Let t(b) = 667*b**2 + 7. Let q(g) = 42*d(g) - 6*t(g). Determine q(k(p)).\nAnswer: -222*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/4320*-32*(-15)\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = a + 23, -39*i - 12*a = -4*a - 6*a - 283 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s + 1\/2*s**2 + 3. Find the first derivative of t(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*r = -10, 5*o + r = -r - 22. Let w = -2.2592 + 0.0292. Let p = -1.93 - w. Which is the fourth biggest value? (a) 0.4 (b) o (c) p (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*m + 32876 = -533*m - 209*m + 1572 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002048772 rounded to 6 dps?\nAnswer: -0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 9. Calculate the smallest common multiple of 11 and x(-13).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26199 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*q + 3. Let z = -3 + q. Let h be 5 - -19 - 15\/(-5). Solve -z*t = -2*s + h - 3, 5*s - 26 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4046.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 13, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from ttjrtjajtdjjttttjr.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**3 + u**2 - 3*u + 25. Let w be (-1)\/(1 + (-35)\/30). Is q(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 - 2*v**2 + v - 1. Determine t(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/3)*r*r*r))**(-3\/46)\/(r**(3\/4)*r**(-6\/11)) assuming r is positive.\nAnswer: r**(-31\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -7, 5 in descending order.\nAnswer: 7, 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 18?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/212793158 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255016 and 285496.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155.7 * -0.14.\nAnswer: 21.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11 + 2 - c - 6. Let h be k(4). Let g(f) = -3*f**2 - 6 + 3 + 0*f**3 + f**3 + 3*f. What is g(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 597*r + 3. Let t be z(-5). Let l = t - -17953\/6. What is the common denominator of -45\/22 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y)**(2\/13)\/((((y**4\/y)\/y)\/y)\/(y*y\/y**(-8)))*((y*y**4*y*y)\/y*y**4)**(-15\/2) assuming y is positive.\nAnswer: y**(-1711\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 109.\nAnswer: -45\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-4)\/(16\/(-12)))\/2. Suppose -4*r - 7*r + r = p. Solve r = -0*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10130131133 - 112200?\nAnswer: -10130303333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 573, -19, 1, -5 in decreasing order.\nAnswer: 573, 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7611, -1, -3, 3, -164 in increasing order.\nAnswer: -164, -3, -1, 3, 7611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21646848?\nAnswer: 2, 3, 17, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582123544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214334632.\nAnswer: 2, 1777, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14200423 (base 5) in base 11?\nAnswer: a0486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -395*o**2*v + o*v + v - 55 wrt o.\nAnswer: -790*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 238, 235?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1)*(-709*j + 709*j - 187*j**3)*(-2 + 2 + 4*j) to the form c*j**2 + i + z*j + d*j**3 + f*j**4 and give f.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -83*u**7\/210 - u**6\/120 + 97*u**5\/60 + 9*u**2. What is the third derivative of m(n) wrt n?\nAnswer: -1992*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0, -49, 2\/5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 + 32*h**2 + 65*h + 41. Let j(z) = 2*z**3 + 11*z**2 + 22*z + 14. Let y(a) = -8*j(a) + 3*n(a). Calculate y(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*p = -1256, 4*x - 25 = -2*p + 975. Does 62 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(684) + -1)*3)**2 - (sqrt(684) - 1*sqrt(684)*4)**2) + -5).\nAnswer: -216*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 536774588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 990.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-157)\/(-10) + (-3)\/(-2))\/(121\/48400) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/7)\/((i\/i**(-5))\/i)*(i\/(i\/(i*i**(-2\/43))))\/i**(-16\/5) assuming i is positive.\nAnswer: i**(-199\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1791 and 1389399.\nAnswer: 829471203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1099\/28 + -7)*(-4)\/(-180) and -113\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 - 5*g + 3. Let l be b(-6). Let r be (0 - l)\/((-18)\/(-4)). Let q = 1741\/6 - 291. What is the third biggest value in -0.5, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(180)*1 - ((sqrt(180)*-3 - sqrt(180))*5)**2).\nAnswer: -71996 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, -2, 2, 43 in decreasing order.\nAnswer: 43, 2, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -68 + 74. Let c(l) = -l**3 + 7*l**2 - 6*l + 12. Suppose -4*n + 91 = -45. What is the remainder when n is divided by c(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011001 (base 2) in base 5?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-213)\/154 + 15 + -24 + 105\/10 and 59\/238.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -1)*6\/(-4). Let f = -36 - -21. Let b = f - -19. Which is bigger: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 3*u. Let a be y(4). Let s be (2 - a\/1) + 4. Does 18 divide 7*((-52)\/s + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(80))\/sqrt(10) - (-1 + sqrt(14)\/(sqrt(7)*-2)))**2 + 0.\nAnswer: 9*sqrt(2) + 83\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*d + 7*d = 22, 0 = -5*s - 4*d + 19. Let c = -21 + 16. What is the closest to 5 in c, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 127?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(9\/(-54)). What is the remainder when (-2 - 27)*c\/(-4) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 5\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 427, 418, 407, 400, 403, 422, 463?\n\"Answer: a**3 - 7*a**2 + 5*a + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 - 4*y. Let h be n(-3). Suppose h*q + 2*q = -10. List the prime factors of 84\/10 + q\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-120) - 15\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*x - 22*x + 158 = 470. Solve d = -2*g + 1, -g + 141 = -x*d + 130 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20 + 26)\/(-2 + 8\/3). Suppose -2*d + u = 9, -3*d + 0*u + s = 3*u. Sort d, 7, -7 in decreasing order.\nAnswer: 7, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a - 15 = -57*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1493, 1485, 1477, 1469, 1461?\n\"Answer: -8*p + 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2542 - -2544. Let r(c) be the third derivative of -7*c**m - 1\/2*c**5 - 25\/24*c**4 - 1\/24*c**6 + 0 + 0*c + 0*c**3. Factor r(j).\nAnswer: -5*j*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -540?\nAnswer: -540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19314 times -5\nAnswer: 96570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from nnnxnaany?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)\/(sqrt(144)\/sqrt(3)) + 3*(1 + sqrt(96)\/sqrt(3))**2)*-5.\nAnswer: -495 - 130*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffr when three letters picked without replacement from {j: 1, a: 2, r: 4, i: 1, f: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s = -86*s - 44. Let k(u) = 22*u - s*u + 17*u - 17. Let o(q) = -q - 4. Suppose 5*x = -3*h - 22, 4*h = h + 5*x - 32. What is h*o(f) + 2*k(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = l + 6*l. Let w(g) = -2 + l*g + 13 - 7 - g**2 - 7. Calculate w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**2 - 21808660*v - 14539100.\nAnswer: -5*(v + 1453910)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 190*q**3 + 55*q**2 + 55*q + 55. Let c(i) = 7*i**3 + 2*i**2 + 2*i + 2. Suppose -24*p = -20*p + 220. Give p*c(s) + 2*m(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqvq when four letters picked without replacement from qqqqqvvqqvqqqqqvqqq?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.681.\nAnswer: -4.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15670+0\nAnswer: -15670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 45*w. Let h(l) = 2743*l. Calculate h(v(y)).\nAnswer: -5486*y**2 + 123435*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - j - 52, 0*j = -b - 2*j + 6. Solve -6*z = -z + b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*b**2 - 2 + 6 - 2 to the form z + g*b**2 + u*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19210, -38440, -57672, -76906, -96142, -115380, -134620?\n\"Answer: -t**2 - 19227*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((230275\/453)\/305)\/(2*2\/36)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 39*l**2 - 508*l + 12. Give z(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812511 = -12828*h - 188073 for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 49 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.67 + 116?\nAnswer: 314.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-2)*-5*224\/350. What is the greatest common divisor of 140 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 91 + -176?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d**3 + 1\/12*d**4 + d**2 + 0*d + 2. Let n(y) be the second derivative of w(y). Let l(z) = -2*z**2. Calculate n(l(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -2099\/798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26418399*z**5 - 4795764*z?\nAnswer: 528367980*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14310.08 - -14415. Round o to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -5*m - 473. Which is the biggest value? (a) -2\/5 (b) m (c) 0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 243\/(-1947) + ((-1958)\/31506)\/((-44)\/24)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1692.9 - -23966.\nAnswer: 22273.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.34 - 0.34. Suppose 2*z + 5 = -5. Let j be 1*z\/(110\/(-4)). What is the nearest to 0.1 in -1, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/5 and -45\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 18070161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -581 - -581.1. Which is the nearest to o? (a) -29 (b) 1.6 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 76 = -2*t - 5*u, 5*u = t - 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -972\/7 + 24\/7*q**2 + 54\/7*q - 2\/7*q**3.\nAnswer: -2*(q - 9)**2*(q + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.155, 2, -0.43, 0, -6\/11 in ascending order.\nAnswer: -6\/11, -0.43, 0, 0.155, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2. Let o(w) = -99494*w**2. What is j(o(m))?\nAnswer: 9899056036*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149 * 7129868.\nAnswer: -1062350332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 95. Let h be f\/((-462)\/12) + (-108)\/(-11). Is -1\/4 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s - 10*s + 2*s + 39*s. Let x(z) = -52*z**2. Give x(i(y)).\nAnswer: -32500*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9319392 divided by -1164924?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:01 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 4*w**2 - 3*w - w)*(-3*w**2 + 4*w**2 + w**2) to t*w**4 + a*w**2 + l + y*w + k*w**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53532 - -2194810\/41. Let l = -49 - -149\/3. Which is the second smallest value? (a) m (b) 1\/3 (c) l (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, -4\/119, 3, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(117)*-1 + sqrt(13)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - h = -1, 2*z + 3*h = 3. Let p(n) = -n + z*n + 2*n. Let r(a) = -a - 39. Determine r(p(k)).\nAnswer: -k - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*r + 30 = 0, w + r - 3*r - 6 = 0. Suppose -w*g + 78 = -150. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2741 divide 10169110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1520966*o**2 + 7557036.\nAnswer: 3041932*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11112042 - -104?\nAnswer: 11112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4) + sqrt(27))\/sqrt(9) + ((2*(2 + sqrt(3)))**2 - sqrt(3)) - sqrt(30)\/((sqrt(10) - (sqrt(640) - sqrt(10)) - sqrt(10))*-3 - sqrt(10)).\nAnswer: 28 + 339*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1436341 litres?\nAnswer: 143.6341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 368*r**3.\nAnswer: -2*r**3*(r - 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*x - 25 + 6, 11 = -5*j - 4*x. Suppose 2*z - z = 44. Let w be (-106)\/(-22) - (-8)\/z. Which is the biggest value? (a) w (b) 0.2 (c) 0.4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 14. Solve -q = h*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 - 105*a + 925. What is c(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2add46 (base 14) in base 5?\nAnswer: 340414330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579 = -19*p + 446 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 9, e: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - -2*sqrt(112)*-5 - 2*(sqrt(112)*2 + sqrt(112)))**2 + (sqrt(21)\/sqrt(12) + -1 + sqrt(112))**2*-6.\nAnswer: 54*sqrt(7) + 48687\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -39*i - 131. Is 38 a factor of v(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 divided by 4?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 5:14 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x + 122. Let z be j(-22). What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -4. Let i be (-14)\/(-6) - (0 - g). Let q = 0.1516 - 0.1216. Put 5, q, i in descending order.\nAnswer: 5, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 23853 = -4860. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 3*r - 15 - 21, 4*j = -2*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvvv when four letters picked without replacement from jjjjvjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 39352*k - 2. Determine n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 + 94. Let c = o + 92. Solve -2*k = -7*k + c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Suppose 3*h - 4 + 1 = -s, 5*h - 10 = 0. Sort -2, g, s, -4 in descending order.\nAnswer: g, -2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601674823 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: Let h = -359.6 - -355.6. Which is the closest to -2? (a) 0.48 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*y**2 - 1)*(0*y**3 - 3*y**3 + 2*y**3) - 3*y**5 + 0*y**5 + 9*y**5.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times 79\nAnswer: 15.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.071 - 35.929. Let k = 36.00299 + m. What is k rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2*t + 2. Let g be m(-3). Let o(y) = y**2 - 14*y + 4. Let n be o(14). Let k be 100\/8 - 6\/n. Solve -g*d - k = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23 - ((-1 - -5) + -4). Let t = s - -5. Calculate the greatest common factor of t and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 - 5*o**2 - 16*o + 5. Let f be s(-6). Let v = f - 474. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.2, -7, -3\/7, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - 131110220?\nAnswer: -131111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*q + 1516 + 161 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*-1 + -6. Let i(m) = -m**3 - 2*m**2 + 6*m. Is i(l) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 40 - -11 - 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1791744 divided by 37328\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2594*z = -5*r + 2595*z + 116, r - 3*z + 2 = 0. Suppose -b + 0*b + 27 = 0. Solve b*x + 10 = r*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(325)*4 + (4 + sqrt(13))*-3.\nAnswer: -7 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 7:17 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 55. Let a be 2\/(10\/w)*(-2)\/3. Solve -2*o = a*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*2)\/sqrt(12).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.04 and -14?\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 3\/38, -0.01, -6, 5, 1\/4 in descending order.\nAnswer: 5, 1\/4, 3\/38, -0.01, -1\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.22 (b) 5 (c) -86 (d) 1 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - -3) + 4 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 2, p: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-8))\/(3\/20). Let c be 1814\/k - 6\/10. Let q = -107 - c. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40996 - -64583. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16921968 and 16921968?\nAnswer: 16921968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7769174 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -320, -1012, -2340, -4514, -7744, -12240?\nAnswer: -18212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44934887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5 - 2*m - 3*m**5 + 4*m**2 + 4*m**3 + m**5 - 2 - 2*m**4 - 2*m**5 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 20 = -a - 4*a + 49 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 39 + 37 = 0. Solve -3*i + 7*i + l*d + 6 = 0, 0 = 5*d - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 16179?\nAnswer: 113253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 178fb3?\nAnswer: 178faf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 150. Find the common denominator of -71\/18 and 40\/30*(-123)\/b.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 7*i**2 + 12*i - i**2 - 6*i - 11*i. Let r(l) = -l**3 - l**2 + l. Let n(t) = -f(t) - 5*r(t). What is n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-6)*4\/14. Suppose -4*x + 0 = -8. Find j such that -2\/3 + i*j**3 + 2\/3*j**x - 2\/3*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 504*o**3*q + 7664*o**3 + 6*o**2*q - 680*o**2 + o + 7*q + 3 wrt o.\nAnswer: 3024*q + 45984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864258883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 + 193. List the prime factors of 10 + (-35)\/r + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-205)\/(-105) + 4\/(-14). What is the nearest to 0.1 in 3, -7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170\/312*(-3)\/10*8\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -5. Let g be 4\/(v + 3) + -2. Let w(l) = l**2 - l + 11. Is 11 a factor of w(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -536*c**4 - 5*c**2 + 145*c.\nAnswer: -12864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11037*h*q**3 - 5767*h*q**2*s**2 - 2*h*q*s**2 + 5*h*s + 10*q**3*s**2 + 3*q**3*s + q**2*s + q*s**2 - 3*q*s wrt q.\nAnswer: 66222*h + 60*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-4*4*2)\/(sqrt(54)*-3 - (sqrt(6) + sqrt(24)*-3)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21557.819942 + 21546.82. Let i = -11 - a. Round i to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18644942 less than 4?\nAnswer: -18644938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7880 and 1500816?\nAnswer: 1478303760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193050 divided by 3.\nAnswer: 64350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -195*g + 18. What is the hundreds digit of w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 0 - 4 - -1. Let u(z) be the third derivative of 0*z**p + 0 + 1\/30*z**5 + z**2 + 0*z + 0*z**4 - 1\/120*z**6. Find the third derivative of u(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469239 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2231 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 639778310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 - 133*j - 209 + j**3 + 211*j - 76*j to the form a*j**2 + c*j + m*j**3 + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**4\/2 - 2*w**3\/3 + w**2\/2 - 2. Let l be i(1). Let q be -6 + l - (2 - 0). Is -2 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3. Let y(u) = 3*u**3 + 10*u**2 + 7*u - 5. Let o(f) = -2*v(f) + y(f). What is the units digit of o(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1505\/6 - 250. Let i = 89 + -89. Suppose w - 2*h - 15 = i, 3*w - 4*h + 35 - 88 = 0. Calculate the common denominator of w and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88053 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4488 + 7185 = 489*n - 2508 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18798, 75148, 169054, 300516, 469534, 676108?\n\"Answer: 18778*q**2 + 16*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657132209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56518673?\nAnswer: 19, 31, 95957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:56 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -27*j**3 + 4*j**2 + 4*j - 5. Let f(v) = -26*v**3 + 3*v**2 + 3*v - 4. Give 4*f(y) - 3*p(y).\nAnswer: -23*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cqnnnccq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {t: 4, z: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-357048)\/243*12\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -32*w - 2. Let x(y) = -49*y - 4. Determine -8*v(b) + 5*x(b).\nAnswer: 11*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 + 22 = 0. Suppose -3*k - 4 = -2*x, 5*x - 21 = s*k - 3*k. Suppose -k*o + 270 = 3*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -845*z - 5. Let h(p) = 552*p + 3. Give -8*h(j) - 5*s(j).\nAnswer: -191*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*h - 390 = 705*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(-2)*x)\/x*x)**14\/(x**1*x*x**(1\/21)) assuming x is positive.\nAnswer: x**(251\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 460 + 170 = -4*x, -5*x = 2*g - 241 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.219 - 0.119. Suppose -5*x = -5*q - 10, 0 + 1 = -x + 2*q. Sort 1\/5, x, d in increasing order.\nAnswer: d, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = f + 4*z - 16, 2*z - 141 = -3*f. What is the remainder when 252 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 120*d**2 + 968*d - 2556. Let w(s) = -4*s**3 + 360*s**2 - 2902*s + 7669. Let z(h) = 11*i(h) + 4*w(h). Factor z(o).\nAnswer: -5*(o - 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7534, -7518, -7490, -7450, -7398?\nAnswer: -7334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1382*z - 143 = 1395*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 41 - 3 = 4*w, -5 = -5*a. Suppose -5*l = -3*q - 69 - 44, -4*q = -l + 26. What is the remainder when l is divided by 1\/(-4) - 147\/w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -25 + -39 + 65 + (6 - 16).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-6)*9\/6*(-1664)\/(-1092)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41666 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20442453 (base 6) to base 3\nAnswer: 1010022121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z + 2*a + 13, -z = -3*a - 1. Suppose -4*x + 46 = 3*b, z*b - 2*x - 54 = -0*x. Find the common denominator of -38\/9 and 1707\/(-330) + b\/35.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2) - (-6 + 5). Let h(m) = 3*m**3 + 3*m**2. Let k(g) = -4*g**3 - 2*g**2 - g. Let s(y) = d*h(y) - 3*k(y). Find the second derivative of s(w) wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + x**2 - 7*x - 3. What is j(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.56387 litres to millilitres.\nAnswer: 3563.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147 + 747 - 287 + 53*f**3 + 274 wrt f?\nAnswer: 159*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 77228 = 4*m, -5*f + 212382 = 11*m - 9*f. Does 98 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyptpeeph. Give prob of sequence peh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 + 6*u - 98. Let a be s(7). Which is smaller: a or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*b - 255*b + 53*b)*(-6 + 0 + 2) + 3 + 2*b - 3.\nAnswer: 518*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -238 + 392. Suppose -9*r + 462 = -6*r + p, r - 3*p = x. Calculate the least common multiple of 10 and r.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*n + 5*n + 3*n)*(8*n**4 + 6*n**4 - 11*n**4).\nAnswer: 114*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4622500 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11956681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4269, -4270, -4215, -4104, -3937, -3714, -3435?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (7 - (-1 - 4)) - (17 - -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -4.6 (c) -0.01 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -81 + 43 - (-20 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 10. Let r = -756 + 783. Calculate the remainder when r is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4034611 (base 7) to base 3.\nAnswer: 220100201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = 3*s - 11, f - 3*s + 11 = 0. Solve 0 = -f*y + 40*y + 144 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let j be 8*(t + (-3)\/(-2)). Let x(l) = -2*l - 2. Let v(f) = -f - 2. Determine j*v(z) - 3*x(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6721817.\nAnswer: 17, 233, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (-3 + (sqrt(224) - -3*(sqrt(224) + (sqrt(224) - (sqrt(224) - -4*sqrt(224)))))\/sqrt(8))**2 + -3.\nAnswer: 96*sqrt(7) + 1789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1056.397 to the nearest integer.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-seven halves of a minute?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 46693*h**2 + 52*h + 21. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 2416*p - 88*p - 417*p.\nAnswer: 1911*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -1419, -4718, -11113, -21630, -37295, -59134?\nAnswer: -88173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-135)\/18)\/(-5))\/((-3)\/10). Sort p, 1, -77.\nAnswer: -77, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2124\/(-3296) - (462\/(-432) - (-48)\/108).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -5*o + 1\/3*o**3 - 2 - 3*o**2. Let d be q(7). Calculate the greatest common divisor of 6 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 6*y - 4788 = 22*d, 0 = 2*d + 2*y - 1916. What is the least common multiple of 45 and d?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-48))\/(38\/(-152)))\/((-2)\/(-18)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -958*i**2*s**3 + 3*i**2*s + 111*s**2 wrt s.\nAnswer: -5748*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -669655, -669656, -669657, -669658?\n\"Answer: -m - 669654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 16. Let g = -4 - x. What is the least common multiple of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 15 + 4*a + 9 + 7*a. Suppose 0*p + 5*p - 55 = 3*z, 5*p = -5*z + 15. What is the remainder when c(p) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 109*a**3 + 15*a**2 - 2*a + 11. Let y(o) = -o**3 - 2*o**2 + o. Let j(q) = l(q) + 2*y(q). Let z(c) = 54*c**3 + 6*c**2 + 6. Determine -6*j(h) + 11*z(h).\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -192. Suppose 0*j + 2*p + 72 = 2*j, -4*p = -j + 48. Suppose 29*v + 48 = j*v. Calculate the highest common divisor of x and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -115. Let d be 4\/9*(-72)\/q. Suppose 2*g - z - 6 = g, d*g - 4*z = 4. Which is smaller: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*w - 68 = 0, 4*c + 5*w - 237 = 10*w. Suppose -86 - 73 = -c*t. Solve z = -4*u + 6, -t*z + 2 = -2*u - 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31191 and 562?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -24*k**2 - 2*k - 2. Let s(y) = -y**3 - 23*y**2 - 3*y - 3. What is 3*l(a) - 2*s(a)?\nAnswer: 2*a**3 - 26*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*168739.\nAnswer: 337478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 1\/4, -15\/4 in decreasing order.\nAnswer: 1\/4, 0, -15\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*q - 10, 5*j = -5*q + 9 + 6. Let b(i) = -j*i - i - i. Let p(z) = -z. What is b(p(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 8*k**2 - k + 2. What is the smallest common multiple of a(-8) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2642, -3, -9372 in decreasing order.\nAnswer: -3, -2642, -9372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-14) - 2*(-1 - 0). Solve -v = -8*h + 7*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 27 = -5*b + 6*b, 2*y - 112 = 5*b. Let d be 8\/2 - b - -7. Solve 4*w + 4*k - k = 8, 5*w - 2*k - d = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179453 is divided by 280.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/17)*(((c**(-1\/6)\/c)\/c)\/c)\/c)**(-42)*(c\/(c*c\/c**(-1)*c*c))**(1\/46)*(c**(-1\/2)*c)**(-1\/27) assuming c is positive.\nAnswer: c**(3588395\/21114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 3\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 113*y**3 - y**2 - 2*y + 2. Let r = -9 - -24. Let c be (2\/(-4))\/((r\/(-6))\/5). Is a(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/296 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/5 + (-423)\/(-15). Suppose -7*s + p = -3*s. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.3 (c) -2\/9 (d) -8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q - 60. Let c(t) = 2*t - 15. Let s(f) = 9*c(f) - 2*w(f). Let u be s(11). Solve -u*i + 4 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*w + 101, 0*w = 3*d + w - 52. Let k(b) = b**2 - 11 - 8 + d. Let y(f) = -5*f. Calculate y(k(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 1 + -2 + (2 + sqrt(1100))**2 + sqrt(1100).\nAnswer: 51*sqrt(11) + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063738 to 4 decimal places.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - 4*b**2 - 2*b**5 + (-b**3 + 2*b**3 - 4*b**3)*(530*b**2 + 2806*b**2 + 2665*b**2) + 3*b**4 + b**5 - 3*b**4 + (-b**5 + 2 - 2)*(0 - 2 + 4).\nAnswer: -18006*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/37656 and 25\/2579436?\nAnswer: 5158872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/(0 - -1). Suppose 3*x - 1 = -j, -x - x + 6 = -2*j. Is h at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m**2 + 7. Let y be p(4). Calculate the highest common factor of 99 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:08 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12155775 to four decimal places.\nAnswer: 0.1216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1358 = -5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*w + 5)*(4902*w - 2594*w - 2900*w) as y*w**2 + v + l*w and give y.\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a micrometer in nanometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l - 5*l**3 + 3*l - 5*l wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24, 3, 1\/4, 3.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 692888134 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 201 = -4*q, 4*z - q + 144 = 8*z. Suppose -2*v = -4*d - 28, 0*d + z = 3*v - 5*d. Solve 0 = -2*u + v, -4*j = -2*j - 3*u + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 33*g + 94. Let k be m(-15). Solve -7*v - 77 = -k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 681694 or 4771855\/7?\nAnswer: 4771855\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*o - 35 = 0, -4*u - 5*o = 396 - 409 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3026281343.\nAnswer: 83, 36461221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80677109?\nAnswer: 80677109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - z**3 + 4 + 2*z + 2*z - z. Let y be j(4). Let b be 2\/(-5) + y + 0. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - m - 3. Let u(q) = 4 + 23*q**2 - 48*q**2 - 1 + 22*q**2 + 2*q. Let p(k) = -4*u(k) - 5*y(k). Let g be p(2). Solve 3 = g*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.7 - -0.7. Let s = -0.042 + 1.042. Let q = 5180 - 5182. What is the nearest to s in q, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20362 + 20392. Calculate the greatest common divisor of o and 2510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 14*w - 28 = 0. Let g = w + 73. Let z(v) = v**3 + 20*v**2 + 16*v - 30. Let c be z(-19). What is the highest common divisor of c and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 2 = -20. Put y, 9\/4, -1\/3, -0.4 in increasing order.\nAnswer: y, -0.4, -1\/3, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 6) + (-11173245)\/(-216). Let u = r - 51729. What is the common denominator of u and -61\/12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*r = -245*r - 992. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171013277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -5\/2*k**2 + 1\/3*k**3 - 25 + 2*k. Let i be l(9). Which is smaller: 39 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 47*f - 93*f + 48*f - 4 in the form a*f**2 + i*f**3 + p + m*f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(5*(sqrt(10) + sqrt(90))) - (sqrt(25)\/(-2*sqrt(5)) + -3))*2.\nAnswer: 11*sqrt(5)\/10 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-299)\/2093*(-35)\/(-150)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*x - 3 - 2, -3*o = -x - 1. Suppose 0*c = -4*g + 2*c + 268, 4*g + c - 280 = o. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 995*k**3 - 2940*k**2.\nAnswer: -5*k**2*(k + 3)*(k + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -28*x - 629 + 629. Let o(p) = -13*p. Let d(g) = 4*l(g) - 9*o(g). Let m(b) be the first derivative of -b**2\/2 + 2. Give m(d(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1394*c + 9*c**2 + 1394*c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 8 = 0, 5*q = d - 11 + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/36 and -139\/518136?\nAnswer: 1554408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 0, 5*p - 12 - 2 = o. Let c(t) = t - 2*t + t + t**2 + 3. What is the units digit of c(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268252 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3153 + 450?\nAnswer: 3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448635033 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*r + 3*f + 317, -3*f + 109918 = 109930 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971.9531ng to grams.\nAnswer: 0.0000009719531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*s)*(-2 + 0 + 1) + (2*s - 4*s + 0*s)*(2 + 3 - 4).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729 = -10*f - 789 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(11) - sqrt(22)\/sqrt(2)) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -563 + 590. Let s = -1 + l. Suppose n - 8 = -1. Calculate the remainder when s is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 16. Let y(i) = -34*i. Determine y(z(j)).\nAnswer: -34*j - 544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 305*i**2. Let m(p) = -519272*p. Calculate m(a(h)).\nAnswer: -158377960*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34715.54ml to litres.\nAnswer: 34.71554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*w + 27, 4*w + 3*l + 5 - 26 = 0. Suppose 3*r - 6 = -w*a, 3*r + 2 - 8 = 4*a. Determine n so that 0*n - 1\/3*n**2 + a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + a - 22 = 0, 3*a = -3*j + 2*a + 31. Calculate the remainder when 24 + 5 - (-12)\/(-3) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*i + 32, 5*i + 0*a = 5*a + 15. Let h = i - 4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 616 by 44.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*x + 30 = 388*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by -80?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -855439 (b) -2\/7 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10 - 5*k + 2*k - k. Suppose 2*t + 4 = t. Let c(d) = -5 - d + 1 + 5 + 2. Calculate t*s(f) + 14*c(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*o - 24 = -922*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 5*d - 72. Let i = 363 - 370. What is the remainder when a(i) is divided by ((-4)\/(-10))\/(2\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2131 times -399.2\nAnswer: -850695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -18. Let y = 84 + -45. Let t = p + y. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470479 + 77*z + 16*z - 470479 + 15*z + 84*z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(-2 + 3\/4). Let u(p) = -p**2 - 4*p - 3. Let g be u(y). Let s be (-14)\/g + 50\/18. Solve -2*v - 5*n + 2 = 5, 0 = 2*v - s*n - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 213.41826 microseconds?\nAnswer: 0.00000005928285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7666022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - b - 107 = 0, 4*a - 5*b - 175 = -a. Let z(h) = -h**2 - 5*h + 8. Let v be z(-6). Suppose d + 2*d - a = -n, d - v = 3*n. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - m**4 - 4*m**4 + (2427*m + 2879*m - 6682*m + (0*m + 0*m - 2*m)*(0 + 2 + 0) + 2*m + 0*m + m)*(-4*m + 4*m + 2*m**3).\nAnswer: -2755*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4 + -151)*(-5351)\/(-10702).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + sqrt(5) + 0)*-6 + -3.\nAnswer: -18*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 93098877?\nAnswer: -3723955.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k**2 + 3*k - 3*k**2 - 7*k**2)*((3 - 3 + 2*k)*(2 + 1 - 1) - 34 + 34 + 2*k).\nAnswer: 42*k**3 + 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 + 4*i**2 - 15*i + 11. Is z(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95618911.\nAnswer: 31, 3084481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(512) - sqrt(32)) - (sqrt(475) + 0)**2*2.\nAnswer: -950 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l - 3*l + 4*l)*(-5 + 1 + 0 - 5 + 4 + 0 + (0 - 4 + 3)*(2 - 5 + 0)) to a*l + o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40\/17 + 33\/17. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s**3 + 5*s**2 - 5*s + 4. Let y(v) = 5 + 3*v + 7 - 4*v - 7. Let j be y(10). Let c(d) = -4*d**3 - 2*d**2 + 2*d - 2. Calculate j*c(b) - 2*h(b).\nAnswer: 4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {y: 9, n: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 34*z - 36*z - 95, -257 = -3*p - z. What is the remainder when 169 is divided by p?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**3 + 541634*j**2 + 496983?\nAnswer: -9*j**2 + 1083268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-3678518)\/(-4))\/(-18 - (-175)\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/1434?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230 is divided by 123.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58272 is divided by 3110?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634700301 is divided by 211566765.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 6*o**2 - 5*o - 4. Let h be k(5). What is the third smallest value in 0.5, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 16433?\nAnswer: 16445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*d**3 + 3*d - 6*d**2 + 7*d**2 + d**5 - 3*d**2 + 2 - 59*d**3.\nAnswer: (d - 2)*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/3, -0.5, 17\/3, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -18, -1\/4, 10, 14.51?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a30965 (base 15) to base 11.\nAnswer: -4411aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 t, and 1 q when four letters picked without replacement from {r: 1, d: 2, t: 13, q: 3}?\nAnswer: 39\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 + 3\/5. Let f(q) = q**2 + 5*q + 6. Let z = -718 - -716. Let u be f(z). Solve n + u + s = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821791739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/5 + 82*i\/5 + 28248\/5 = 0. What is i?\nAnswer: -132, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/3839 at least -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1101210 and 455994?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14*(-1)\/(-2))\/(0 - -1). Let d(b) = 2*b**2 - 12*b + 7. Calculate the least common multiple of d(i) and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*f - 1359 = 1130*f - 4336 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 259480 and 5489?\nAnswer: 2854280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426 - 571 = -29*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/(-14) + 4\/(-14). Find the second derivative of 6*q**2 + b*q - q**2 + 2*q**2 wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**4\/12 + 2*v**2. Let w be j(3). Suppose -d = 2*d - w. Solve 2*a = -l - l - 6, d*a - 4*l - 24 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 6*h - 1. Let i(r) = 4*r**3 - 3*r**2 - 29*r - 5. Determine -i(b) + 3*l(b).\nAnswer: 2*b**3 + 3*b**2 + 11*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 47. Let c be k(0). Is 48 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonnnwonownwx. What is prob of picking 4 n?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/(3\/(-6)). Suppose -z*f + 8900 + 20878 = 0. Suppose -5*p = -120074 - f. Round p to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f = 711 + 2021 - 548 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8924 divided by -4?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97135\/22 - -4416. Let z = 305\/13 - 4219\/156. Find the common denominator of t and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/121 and -187\/540.\nAnswer: 65340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -12*j - 48. Suppose -3*z = -7*z + j. Suppose -2*p = 4*h + 16, 2*p + 3*p + 5*h + 20 = 0. Put p, z, -1 in descending order.\nAnswer: z, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -19848, -5, 1\/44?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**4\/4 + 17*d**3 - 42*d + 70. What is the first derivative of l(w) wrt w?\nAnswer: -3*w**2 + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*p - 52, 2*p + p = -t + 34. Let h(w) = -8*w - 25. Let q be h(p). Let c = 0 - q. Does 41 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16b2c0 + 74?\nAnswer: 16b354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 14*s**3 + 1. Let u(p) = 7*p**2 - 22. Let j(q) = 32*q**2 - 99. Let f(t) = 2*j(t) - 9*u(t). Determine b(f(c)).\nAnswer: 42*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -10698?\nAnswer: -5\/10698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 13 - 14 = 3*i, 9*i - 490*q + 241*q + 84 = -265*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*x - 2*x. Suppose 0*m - 3*m + 21 = 0. Let q = x - m. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 31. Let z be i(-9). Let b be 5*z\/(-40)*10. What is the second derivative of 10*v**2 - 6*v - 4*v + b*v**2 - v**2 wrt v?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 4*c**3\/3 + 23*c**2\/2 - 322*c. Give t(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*(g**(-2\/25)*g*g)\/g*g*g**18)**(-12\/11) assuming g is positive.\nAnswer: g**(-6876\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.42 + -1.24. Let a = b - -1.16. Put -1\/6, a, -7\/2 in ascending order.\nAnswer: -7\/2, a, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Let c = -0.00076 + t. Round c to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*g + 3, z = -5*g - 0*z + 3. Let w = -1 - g. Let f = 32.1 + -32. Which is the nearest to f? (a) -1\/4 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 2. Let n be d(2). Let o(b) = 3*b - b**2 - 4*b + 1 - n + 4. Let p be o(0). Solve 0*q - 2*q = p*f + 17, 5*f + 5*q + 30 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 955 and 200105161?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024518.\nAnswer: 2, 1012259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(-2)*0. Suppose 8*u - 2*u - 30 = p. Suppose u = -4*g + 9*g. Solve -j - 5*c = -4*c - g, 0 = -j + 4*c - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2509 divided by 355289?\nAnswer: -2509\/355289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -39. Calculate the lowest common multiple of 9 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35194?\nAnswer: 2, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12212 minus -36544?\nAnswer: 48756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(((-10)\/(-897040))\/(((-18)\/(-8))\/9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -2*y + 5*p, 5*y - 2*p = -5*p + 293. Suppose 4*n + 47 = -129. Let l = n + 64. What is the remainder when y is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1441 (base 5) to base 11\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34337751 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2, -37, -28 in decreasing order.\nAnswer: 2, -19, -28, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4743?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*x - 64 - 51, -2*x + 112 = 2*a. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 24549?\nAnswer: -24548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 + -140. Calculate the remainder when q is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01515 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + -2 + sqrt(700) + -4)**2)*-6.\nAnswer: -4362 + 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198 - 268?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:54 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7*n + 3*v - 386, -4*n = -2*v - 322. Let z(r) = 32*r + n - 79. Let y(k) = -49*k + 111*k - 59*k. Calculate z(y(j)).\nAnswer: 96*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose -7*n + 52 = -y*n. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n - 36. Let v = n - -19. Suppose -j - 42 = -2*k - v*j, -5*j = -2*k + 70. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*t - 45 = 0, 7 + 8 = b + 4*t. What is the greatest common factor of b and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -85*d - 7. Let x be q(-1). Let b = 80 - x. Determine z, given that -24\/5*z**4 - 16\/5*z**5 - 1\/5*z**3 - 1\/5*z + 0 + 6\/5*z**b = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 18*y + 56 = 0. Let b be (514\/y)\/((-28)\/(-5600000)). What is b rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + 2 + 49 + -8 is divided by (-4)\/(-16) + 39\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 39*w + 276. Calculate u(15).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + 3*f**2 + 5*f + 1 - 5*f. Let v be b(-1). Let x(m) = m + 4. Is x(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110 = 1101958*r - 1101952*r. Suppose -2*x + 2*t = -64 - 76, 5*x = -2*t + 378. What is the greatest common divisor of x and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 22, 22, 20, 16, 10?\n\"Answer: -s**2 + 5*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 1751*a**2 - 5518*a + 2568093. Calculate d(-1747).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*17296\/2490624.\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-140)\/(-224)*(8 - 0). Put 10, -2, o, -21 in increasing order.\nAnswer: -21, -2, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*u = 79 - 13, -p = 4*u - 3. Let q(t) = t**2 + t - 4. Let f(o) = -o**2 - 4*o. Let w be f(-3). Calculate the remainder when p is divided by q(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/4 - b**4\/12 + b**3\/2 - 3*b**2\/2 + 8*b. Let o be t(1). Suppose 0 = p - 5*l, l - 3 = o*l. Sort 4, p, 0.\nAnswer: p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 + y**2 + 2*y + 43. Let s(n) = 3*n**3 - n**2 - n + 1. Let b(w) = i(w) + 2*s(w). What is b(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384389349.\nAnswer: 7, 197769907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5 - 5. Let k be 3*(3*-1 + 2). Let y be 1 + (-1)\/(k - f). Solve 3*d - 2 = -t + y*t, 2*d - 2 = t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990261.\nAnswer: 7, 13, 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7945 = -2*k + 1951, -3*k + 6009 = 4*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0466, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 287*c**2 - 17627*c + 309. Calculate s(-339).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 8 - 1, -5*l + 3 = -4*m. Let t = -5 + m. Put 0, t, -5, 4 in descending order.\nAnswer: 4, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 z when four letters picked without replacement from ooooooooooooooozoz?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24863531\/227 - -109531. Let l(b) = -2*b**2 + b. Let f be l(1). Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 - 4*q + 2. Let c be n(2). Suppose 3*h - 4*h - b = c, -2*h + 21 = -3*b. Calculate the remainder when 10 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -1192\nAnswer: 16688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, 15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 4*z. Let w be r(-4). Suppose 0 = -2*f - w*f. Calculate the remainder when (f - -2) + (-33)\/(-1) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.699 less than -84407?\nAnswer: -84407.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256715 is divided by 14261.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3892923 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 905.6 and -2267 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 2*l)*(2 - 4 + 3) - 3*l + 5*l + 5*l + (5 - 4 - 3)*(2*l + 2*l - l) - 3 + 1 - 2*l + 0.\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -2 - (11 - 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -68. What is the greatest common factor of 63 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*h + 3*h. Let i be h*(-1 - (-6)\/10). Suppose 15 = -5*t, -4*z - 6 = -2*z + i*t. Sort z, 4, 2 in decreasing order.\nAnswer: 4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 11*u + 27. Calculate i(-4).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -388 + 651. Find the third derivative of s*o**3 + 4*o**2 + 11*o**5 - 263*o**3 wrt o.\nAnswer: 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 1024. Suppose -2*l - 2*l + 507 = -z, 0 = 4*l + 4*z - p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -v - 5*z, 5 = -5*z. List the prime factors of v\/(-1)*4\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 642966.546?\nAnswer: -642976.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 86.97174 minutes?\nAnswer: 5218304400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p + 5*p - 5*p**2 + 14*p + p + 3*p**2.\nAnswer: -2*p**2 + 81*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100001101001 - -1100101?\nAnswer: 1100100011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 6094 - 736. List the prime factors of h.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -7. Suppose x = 2*z - 7. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 4 + 20 = 0. What are the prime factors of ((-14)\/k)\/((-16)\/(-3664))?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(135\/(-25) - -5))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1252, 12, 1 in descending order.\nAnswer: 12, 1, -1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from vsxrmzm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - r - 1. Let y(f) = f + 1. Let u(q) = -h(q) - y(q). Let o(m) = 3*m + 7. Let p(a) = 2*a + 4. Let g(b) = 4*o(b) - 7*p(b). What is g(u(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1061 + 8579. What are the prime factors of i?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*c**2 - 60*c**2 - 74*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413894055 divided by -3.\nAnswer: 137964685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -69. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 747051631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -72, 0, 6 in ascending order.\nAnswer: -72, -8, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100110011000111 (base 2) to base 12\nAnswer: -b45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**5)\/m)\/m**(-2\/13))\/(m\/(m\/m**3)*m)**(3\/22) assuming m is positive.\nAnswer: m**(659\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31956 + -22?\nAnswer: 31934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -59*h - 119. Let m(u) = -2*u - 17. Calculate -6*m(t) + o(t).\nAnswer: -47*t - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187473 and 171.\nAnswer: 562419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**3\/3 + 3*o**2\/2 - 5*o. Determine c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40015463 to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.2, 5, 78\/25, 145, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164230215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**4\/g)*g\/g**8)\/(g**(-11)\/g**7) assuming g is positive.\nAnswer: g**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 10*z = 12. Solve z*o + 33 = -q - 4*q, o - 3*q = 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, -0.67631, -13, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.26 (b) -2\/11 (c) 21690\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/389242 and -3\/160701340.\nAnswer: 1124909380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*t + 17 + 2, -2*t + 8 = 0. Suppose -3*k = 5*b - 28, -b + 8 = 3*k - 0*b. Sort a, -2, k in increasing order.\nAnswer: -2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170530148 and 6112.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516740 and 19152599.\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986667 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -28*v**3 - v**2 + v + 1. List the prime factors of f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*w + 2*w + 713, 5*x + 5*w = 725. Suppose 45 = v - 4*c, -59 = -4*v - 4*c + x. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -85*l - 1. Let b(y) = 43*y. Let q(r) = 11*b(r) + 6*n(r). Let h be q(-3). Suppose -h = -0*m - 5*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4 - 4*p + 9*p**2 - 3 + 2 + 6*p**2. Let k be b(2). Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 5, d: 6, y: 4}. Give prob of sequence cdd.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s + s + 5*s)*(3 + 1 + 0)*(-2*s**4 - 6*s**4 + 9*s**4).\nAnswer: 72*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 2)*(1331 + 1218 + 216)*(m + m - 5*m) as g*m + s and give g.\nAnswer: 24885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -803478 and -4.\nAnswer: 3213912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 11:42 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1317 and 21.\nAnswer: 9219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*a + 131506, 198*a + f = 193*a + 328765. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b - 27 - 3*b - 5*b + 3*b. What is the remainder when 144 is divided by x(35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548973.\nAnswer: 61, 67, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z. Let d = 6290 + -6261. Let c(p) be the first derivative of 1\/2*p**2 + d + 0*p. What is n(c(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5052 - -65674\/13. Which is the third biggest value? (a) w (b) 3\/4 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286107.296 rounded to the nearest 100?\nAnswer: -286100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79025 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2332\/(-2915))\/((-6)\/20) - 4\/(-6)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, 58, 114, 148, 154?\n\"Answer: -w**3 - 2*w**2 + 85*w - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*z + 10 = -5, -15 = 4*m - 5*z. Solve -16 = 4*n + g, m*n - n = -3*g + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93.92 + -88. Let f = 6 - s. Let n = 0.06 + f. Round n to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((240\/18)\/4)\/((-36)\/(-27)). Let u(x) be the first derivative of 1\/6*x**3 + k*x**2 + 25\/2*x + 16. Solve u(y) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 - 15 = 0. Let t = f - 12. Suppose -1982 = -t*c - 152. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-2*6)\/((-6*-1*sqrt(72))\/sqrt(8)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (0\/6 + -3). Suppose -4*l + 111 = b, 0*l = -2*l + c*b + 48. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 smaller than 1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 161007 divided by 77?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 47. Suppose -2*b = 3*t + 5, -4*b = -i*t + 2*t - 2. Sort -15, t, 2 in decreasing order.\nAnswer: 2, t, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*l - 100*l + 546 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 79 = 3*n + 40, -33 = -n + 5*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) -0.9 (c) -3\/7 (d) 186 (e) 5 (f) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24 + -22)*(1 + (-22)\/4). Let q = 493 - w. What are the prime factors of q?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:07 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-32) + ((-31)\/11 - 1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 3*x = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 6. Let y(q) = -2*q + 9*q**2 - 2*q - 4 - 10*q**2 + 0*q. Let f be y(w). Which is greater: f or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357848753 rounded to the nearest 100000?\nAnswer: 357800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 847 - 2?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 + 1 = -v, -5*v = -5*d + 35. Suppose -4 = -3*t + 2*w, -d*t + 4*w + 0 = 4. Suppose -135 = t*y - 9*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-4))\/(t**1*t*t)*(t\/t**1*t*t*t)**(-23)*(t**(-2\/7))**(40\/9)\/(t*t**(1\/4))**(5\/12) assuming t is positive.\nAnswer: t**(-68333\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - t = -184, 5*t - 368 = 4*r - 6*r. Let i = r + -168. What is the least common multiple of i and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 7. Suppose 2*s + 22 = -2*a, 4*a = a - 2*s - 28. What is b(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - n + 4*n + 0*n + 3*n - n + (-1 + 4 - 1)*(-3 + 3 - n) - n - 2*n + n - 419*n - 749*n + 1429*n)*(-2 - 1 + 1) as r + h*n and give h.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1, -1100, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (34\/459 - (-2584)\/(-31968))*-12\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.04595 - -0.04595. What is the closest to d in -0.5, 6, -131\/5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v**2 + 2*v + 1. Let u be a(-1). Suppose -2*r = w - 14, 2*r - 8*w + 3*w = u. Let z = r - -8. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648233*f + 619 = 648224*f + 178, 6*i - 5*f - 141 = 92 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -886639\/7 - -126664. What is x in -w*x**2 - 6\/7*x**3 - 1\/7*x**4 + 0*x + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = 0, -3*p - 5*m + 17 = 4. Let t be -1 + (3 - -1 - 0) - p. Solve -6*s = 4*i - s + 11, 5*s - 13 = t*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 6) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 83899 - 3*x - 2*x**3 - 83900 + 9*x**4 + 0*x**3 in the form v*x**2 + m*x**4 + y*x + o*x**3 + t and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 6971 = 2381. What is the remainder when i is divided by 72?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 145504.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429771439 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3390659, -6781292, -10171925, -13562558, -16953191, -20343824?\n\"Answer: -3390633*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by (10\/10 - -1)*(-1168)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 10*c - 6. Determine y(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153447 + 153447 + 5943*o**2 - 5948*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = -4*h, -3*c - 1 = -h + c. Let a(o) = -10*o + 2. What are the prime factors of a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/23 + 298480\/(-1802073)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5\/318, -3\/260, 2\/15, -2\/17.\nAnswer: -2\/17, -5\/318, -3\/260, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(130))\/(sqrt(10) + sqrt(10) + 3*sqrt(90)).\nAnswer: 15*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 24381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.3, 1\/3, 345, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29630926 and 17912.\nAnswer: 4478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465184?\nAnswer: 2, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 9*k - 6. Let m be y(-12). What is the units digit of 3\/(-2)*m\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/6 + 1\/(-2). Let y = 24 - 24.2. Let v = 0.32 + y. Which is the second biggest value? (a) h (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*y + 8, 2*y + 5*b = -2*y - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:50 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4079596 is divided by 700.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 15*p - 2. Suppose -2 - 30 = -4*s. Is 9 a factor of m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.47 - -3.335. What is d rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-9) - (3 - 1). Let z = -6.1 + 5.8. What is the third biggest value in z, 2\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) + sqrt(240) + (sqrt(240) - sqrt(240)*-2)*4)\/(sqrt(12) + sqrt(12) + sqrt(192)) + 2.\nAnswer: 2 + 14*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39736, -39673, -39610, -39547?\nAnswer: -39484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i - 6. Suppose 0 = -i*r + r. Solve r = -5*j + 2 - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 37*m - 6. Let w be o(5). Suppose 5*x - w = -54. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 3 - 8)*(4 - 1 - 5)*(2*p - 5*p + 5*p) to j + o*p and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 + 26*t + 7. Let s(n) = -3*n**2 - 13*n - 4. Give 4*a(m) + 7*s(m).\nAnswer: -m**2 + 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177250068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a factor of 592263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -14*j + 1\/4*j**4 - 11\/2*j**2 + 2*j**3 - 2. Does 3 divide o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 755 + 147. Let m = l - 298. Suppose -3*c - c - p = -594, 4*c = 4*p + m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -37512 at least as big as -37850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 120*j**3 + 11516*j**2 - 36024*j + 1188 = 0?\nAnswer: -99, 1\/30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -278 + t + 278 - 2*t**2 - t**3. Give o(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)\/(((b**(-18)*b)\/b)\/b)*(b\/(b\/(b*b**15\/b)))\/(b*(b\/(b\/(b*b**10)))\/b*b))**(-4) assuming b is positive.\nAnswer: b**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, 12, -1614?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2048*a + 868 - 868.\nAnswer: 2048*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15455, -22871, -30287, -37703, -45119?\nAnswer: -52535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47155?\nAnswer: 5, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d**2 - 11*d**2 + d**3)*(-14*d + 6*d + 3*d) - 11*d + 11*d + 6*d**4 + 5*d.\nAnswer: d**4 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:29 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + n - 8, -5*u - 4*n - 10 = -2*n. Sort -8, 1, u.\nAnswer: -8, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3 and -1\/4912628?\nAnswer: 14737884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8197?\nAnswer: 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 24. Let m(h) = -h + 25. Determine -3*m(u) + 4*n(u).\nAnswer: -5*u + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -10.5, 37\/12?\nAnswer: 37\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8052 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4*j)*(j**3 + 5*j**3 - 5*j**3)*(11 + 19 - 8) to h + d*j**4 + b*j + t*j**2 + r*j**3 and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8402*y**5 + 181*y**4 - 460727*y - 3 wrt y?\nAnswer: -168040*y**3 + 2172*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15720 is divided by 2954.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10253\/2 - 5126. Let v = 2 + 1. What is the third smallest value in 0.3, v, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - i + 3*i)*(0 - i**2 + 0) + (-40 + 11 - 9)*(4*i**3 + 2*i**2 - 3*i**2 - 3*i**3) to k*i**2 + a*i**3 + c*i + s and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1 - (-2)\/(-2))*(18644\/(-79) - -318)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Let y = 205 + f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 716, 1173, 1612, 2027, 2412, 2761?\nAnswer: 3068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/20 + (-11067)\/(-35). Let f = p + -4119\/13. Let v = -1.4 + 0.8. What is the closest to v in 1\/6, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12097 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f + 42. Let q be v(5). Solve -5*a - 2*d = 25, q*d + d - 25 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 256*n + 257*n + 13 = 0, 2*n = 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64143534 is divided by 64143492.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-12) + 5\/(-15). Let z be (2\/(-3))\/(154\/(-231))*2. Factor -1\/2*s**4 + x*s**3 + 0 + 0*s + 0*s**z.\nAnswer: -s**3*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.643+139922\nAnswer: 139934.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*r - 2382 = 310*r. Let t = -397 + r. Solve -3*a = t, -2*a = 3*x - a + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 20*c - 84 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*s + 62*s = r + 27, -3*r - 2*s + 18 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2042420100?\nAnswer: 2, 3, 5, 7, 972581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {z: 3, y: 4, f: 1, n: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 34*s**2 - 3*s. Suppose -432 = 9*n - 12*n + j, -3*n + 432 = -5*j. Let f(l) = 2*l**2 + 129*l + n*l - 273*l. What is f(v(u))?\nAnswer: 2312*u**4 - 408*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429 divided by 4.\nAnswer: 429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.181 in 10\/13, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 9077113*y\/2 + 82393980414769\/4.\nAnswer: (y - 9077113)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - 5451.16403834\nAnswer: -5451.21403834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -1, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4 + 25*y**3 - 30*y**2 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68149, 136295, 204451, 272623, 340817, 409039, 477295?\nAnswer: 545591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -220500 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6281415 divided by -418761.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/4 + 4\/(-8). Let s be (2 - g)*12\/(-15). Let n be 2\/6 - s\/12. Is 2 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-335)\/4221)\/((-10)\/6)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014904 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4300611 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/69864 and 61\/24.\nAnswer: 69864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -10, -2, 12, 32, 58?\n\"Answer: 3*i**2 - 7*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*w + 6 = p, -5*p = w - 34. Suppose -n + 637 = p*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(1047 - 145 + 1595)*(-w - 3 + 3) to x*w + h and give x.\nAnswer: 2497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-184)\/(-10) - (-64)\/(-160). Let x = -30 - d. Let h = x - -78. Calculate the highest common factor of h and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164174268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -38 - -14) + -42.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(9\/2 + 0). Let m be (-3 - 75\/d)\/(18\/(-4)). Let y = -118\/891 - m. Put -1, y, -3\/8 in ascending order.\nAnswer: -1, -3\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29143908 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*f**2 + 18 + 51*f + 35 - 3 - 166*f + 10*f**3.\nAnswer: 5*(f - 2)*(f + 5)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afagdxxdxfaddffgfgff. Give prob of sequence fgx.\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**2*y**2 - 12*r**2*y - 1052*r**2 + 4*y wrt y?\nAnswer: 2*r**2*y - 12*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -505 + 518. Solve -d*t = -5*t + 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*2*3*(-1 + sqrt(80))*6 + -3))**2.\nAnswer: -9175680*sqrt(5) + 94439844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6583 - -6581.8. What is the nearest to 2 in -2, 0.3, r, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94643 and 62267?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422025 is divided by 5342.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28 + 5)*(3 + 2 - 83) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13942567*j**4 + 7*j**3 - 306733185?\nAnswer: -55770268*j**3 + 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6600)\/(-880))\/((-4335)\/(-68)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b**2 - 371*b - 7. Let w(d) = 5*d**2 - 184*d - 3. Let a(u) = -7*w(u) + 3*z(u). Factor a(c).\nAnswer: -5*c*(c - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7341508?\nAnswer: 2, 23, 199, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31773423 and 37488.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -33, 7, 63, 135, 223?\n\"Answer: 8*z**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcgfcoocfcmf. What is prob of picking 2 o and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.748 - -0.252. Sort -3, 0.2, 6, a.\nAnswer: -3, 0.2, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*g = -68*g - 1280. Solve 7*s - g*s + 9 = 4*m, 2*m + 2*s = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -86558.\nAnswer: 43279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4\/3))\/(p\/(p\/p**(2\/3))))**(-20\/7)*(p**2\/p**(-1\/3))\/((p*((p*p**1\/p)\/p)\/p)\/p)**14 assuming p is positive.\nAnswer: p**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 - h. Let z(v) = v**3 - 11*v**2 + 7*v + 32. Let w be z(10). Let o(m) = 704 - 704 + m**w. Determine o(x(d)).\nAnswer: 9*d**4 + 6*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 11. Let i be q(-9). Suppose 3 = -i*a + a. Is a + (-7)\/((-21)\/54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = -5*f, -2*g - 2*f + 2 = f. Let w be 1 + 2 + (g - 0). Solve -k + 10 = k - w*b, 5*k = -4*b - 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, 30, 59\/12, -1\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q + 63. Let p(t) = -4*t + 62. What is -3*m(o) + 2*p(o)?\nAnswer: -56*o - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 6*i - 117528. What are the prime factors of (-4)\/22 - (i\/(-33) + 2)?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45526 (base 7) to base 10.\nAnswer: 11584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + -44. Let x = z - -55.000016. What is x rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 - h**2 - h - 1. Let n be (-4)\/10 + 7\/5 + 1. What is q(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 3\/2, -5 in decreasing order.\nAnswer: 3\/2, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - -1 - (-133488)\/2268.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -287, -248, -187, -98, 25, 188, 397?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -v - 4. Suppose v*p + 162 = 6*p. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509871 is divided by 509860.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41555 + -10?\nAnswer: -42005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 - 2*b + 1. Let u = 5 + -4. Let i be m(u). What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p + 3. What is the units digit of z(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 6*j**4 + 5*j**4 + (0*j**2 + 5*j**2 + 0*j**2)*(27*j**2 + 6*j**2 + 27*j**2) + 10*j**4 - 13*j**4 - 15*j**4.\nAnswer: 283*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -162292, -317522, -472766, -628030, -783320, -938642, -1094002, -1249406?\n\"Answer: -r**3 - r**2 - 155220*r - 7070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/198440 and 59\/64.\nAnswer: 1587520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -75?\nAnswer: -22\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*r + 12, 0*r - 5*r = 3*g - 9. Solve 0 = -3*x - 2*m - 14, r = 4*x - 3*x - 4*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 6 = 0. Suppose 5*i - u = 8. Suppose 4*a + 13 = k, -3*a = -k + 15 + i. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9108 and 108.\nAnswer: 27324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -316671, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 - 10 - (-5 - 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*d. Suppose 47 = 5*q - 4*c - 9, -65 = -d*q - 5*c. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 3930*q**3 - 7866*q**2 - 3934*q = 0.\nAnswer: -1, 0, 1967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27e5a (base 15) to base 14.\nAnswer: -3498a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.026 + 0.326. Let f(x) = -2*x - 6. Let h be f(-5). Which is the second biggest value? (a) g (b) h (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1408723\/99 + 14230. Calculate the common denominator of -29\/1155 and s.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l + 4. Let o(m) = m + 1. Let a(i) = n(i) - 4*o(i). Let s(w) = 3*w. Determine s(a(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52451, -101360, -150269, -199178, -248087?\nAnswer: -296996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44582.\nAnswer: 2, 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:27 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*r + 5*s + 26, -4*r + 5*s = -20. Suppose 42 = r*z + z. Suppose -2*k + 4 = 4*q - z*q, 10 = 5*k. Solve 0 = x - q*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114465 and 41145?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0*x**4 + 0*x**2 + 0 - 3\/14*x**7 + 0*x**5 + 0*x**6 - 23*x + 3*x**3. Find the second derivative of o(w) wrt w.\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.4, 8815.985 in descending order.\nAnswer: 8815.985, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.284 + 35.716. Let t = d - 35.9. Put -25, t, -1\/8 in decreasing order.\nAnswer: t, -1\/8, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*12\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/31)\/s)\/(s*s**(-16))*s*s**7*s**(3\/7)\/s assuming s is positive.\nAnswer: s**(4664\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -205 + 329. Suppose g = 5*u + 34. Let y = -15 + u. What is the closest to -2\/3 in 2, -5, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6*u - 9. What is the remainder when 33 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8789958, 8790109, 8790260, 8790411?\n\"Answer: 151*t + 8789807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181.2021957282 - 0.7978046088. Let o = a + 182. What is o rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/580 and -117\/812?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451404526?\nAnswer: 2, 4787, 47149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/621)\/(16\/(-6)). Let f = v + -5\/69. Which is the nearest to -0.1? (a) f (b) -0.2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -12. Let b(t) = -t**3 + 2*t**2 + 3*t + 2. Let a be b(q). Solve -6 = -i + u, 0*u - 4*u = a*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**5\/70 - 1265*w**4\/42 - w + 2561. Factor a(m).\nAnswer: -2*m**2*(m + 1265)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 11 + (4 - -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14563381.\nAnswer: 7, 109, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 12. Let u be a*(12\/(-9))\/(-2). Let t = u - -19. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (102428\/(-2088))\/((-1)\/138) + 10\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(o**4 + o**4 - 3*o**4) + (5*o**2 - 3*o**3 - 5*o**2)*(-2 + 2 + 2*o).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 28.70977 centuries?\nAnswer: 287.0977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 1 i when three letters picked without replacement from {r: 3, m: 1, a: 3, k: 1, i: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 129 = 3*o, 2*o + 0*o = 0. What is g rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 - d**2 - 5*d**2 + (-1 + 0 - 2)*(0 - 2*d**2 + 0) in the form p*d**2 + v + g*d and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/5))\/(p**(-9)\/p*p))\/((p\/(p\/(p*p**(1\/7))))\/p**6)*(p**(-2\/13)\/(p\/p**0*p))\/(p\/p**(2\/3))**(-22\/3) assuming p is positive.\nAnswer: p**(59573\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5242?\nAnswer: 2, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/(2\/(-72)). Let g = 48 - 15. Let t be 15\/(-25) + g\/5. Solve o - t*o + n + l = 0, -3*o - 4 = 4*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -564 + 284 + 280 + 43*c**3 + 5*c**2 to n*c**3 + q + u*c**2 + z*c and give n.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1269 rounded to 1 decimal place?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**6\/120 + 3*l**5\/20 + l**4\/12 - 13*l**3\/6 + 19*l**2. List the prime factors of f(7).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3098888 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-1)\/72). Let x(v) = -2*v**2 - 18*v - 18. Let o(g) = -3 - 78*g + 3 + 38*g - 1 + 39*g. Give u*o(w) - 2*x(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 9) to base 8\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 1683.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p)\/p)**(-35)*p\/p**(-1)*(p**3*p)\/p*(((p**(1\/7)*p*p)\/p)\/((p\/((p**(3\/2)*p)\/p)*p)\/p))\/(p**(1\/3))**(14\/13) assuming p is positive.\nAnswer: p**(22541\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 + -20011020020?\nAnswer: -20011010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*26204.3.\nAnswer: -183430.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -3*n**7\/70 + 7*n**3\/3 - 15*n**2. What is the derivative of q(a) wrt a?\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:16 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1696.\nAnswer: -169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383 - 913 + 97*t**3 - 4458*t**2 + 4458*t**2 - 2*t - 101*t**3 to the form y + d*t**3 + c*t**2 + s*t and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 1, b: 1, i: 2}. What is prob of sequence rri?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 765, -5, -51 in descending order.\nAnswer: 765, 1, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3882 or -3646?\nAnswer: -3882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1092183, 1, -2 in increasing order.\nAnswer: -1092183, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 4*t - 73 = 29*c, 0 = -2*c - 2*t - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 838.\nAnswer: -75\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-5) - 2 - 20\/((-1300)\/741)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/4815975 and -11\/20859?\nAnswer: 81871575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*d + 23*d - 71*d - 979 - 327*d**4 + 26*d with respect to d.\nAnswer: -1308*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p + 5*p. Suppose -39 = -3*a - 9. Let u be (p + -719)*a\/(-15). Round u to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2925 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = 2*d. Suppose 2 = 3*w + 3*k + 8, -25 = -5*w + d*k. What is the remainder when 33 is divided by 26\/w + (-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = -17. Suppose 0 = g*q - 37 + 12. Suppose -q*z - 31 = -4*x - 3, -3*z - 4 = 4*x. Solve -6*i - 12 = -x*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*n**2*p + 170*b*n**2 - 10*b*p + 5*b - 2*n*p - 2*n wrt n?\nAnswer: 2*b*p + 340*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20545 and -0.94?\nAnswer: -19312.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = 0, -3*c = -5*c + 5*l + 15. Suppose 4*g = f - 4, -2*f = 2*g - 0 + 22. Which is bigger: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 4 + 0 - 1 + 0 + 2 + 4 - 5 + (3 + 2 - 4)*(-3 - 2 + 6) + 1 + 3 - 2 - 1 + 0 + 2)*(2*b**2 + 2*b**2 - 2*b**2).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6360 - -1.9789428.\nAnswer: -6358.0210572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 2*sqrt(84) + sqrt(84))*-4 - 2*sqrt(84)*-4)\/(sqrt(36)\/(sqrt(3) + (sqrt(3) - (sqrt(108)*-1 - sqrt(3) - sqrt(3))))).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w**2. Let l(t) = -528 + 528 + t. Calculate l(s(d)).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d + 4*c - 8 = 0, 0 = -d + 2*c + 10. Let k = -7 + 11. Find the second derivative of 3*z**2 - 3*z**2 + 4*z - 3*z**k - z**d wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 14*i - 15*i, 0 = -2*b + 2*i + 4. What is the closest to -1 in 0.2, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 59. Suppose 331 - 97 = u*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*y - 0*y - 13, 101*y - 2*t - t = 97*y + 4*t + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 549759 * 38\nAnswer: 20890842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*z - 2*z - 5 = 0, -3*z = -3*b + 24. Suppose 3*p + 4*w + 1 = 3, -b*p - 2*w = 6. Does p = -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6762*f = -6795*f - 462 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -7, 18, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3 - 3. Suppose -q*i = -g - 16, 4*g + 14 + 2 = 0. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2093 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20)*-1)\/((-20)\/(-25))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340846 or 340842?\nAnswer: 340846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 14\/5, -0.2.\nAnswer: -12, -3, -0.2, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2288042636.\nAnswer: 2, 11, 52000969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i + 286*i = 48*i + 1155 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78200392?\nAnswer: 2, 233, 41953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.002 - 0.502. Let k = -397 - -390. What is the fourth biggest value in 2, 1, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 45. Let u be 4\/(-10) + (-85)\/j. Solve g = h, 0*h - 5*h - 10 = -u*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*l - 3*y, 3*l = 5*l - 3*y + 7. Let s be (l*(-4)\/(-8) - -12) + 0. Solve -5*p + 0*p - 14 = -4*u, -u + 5*p = -s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 538340516.8 to the nearest one hundred thousand.\nAnswer: 538300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.905 - -0.095. What is the nearest to i in 0.3, -2\/5, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 0.03, -3 in descending order.\nAnswer: 1, 0.03, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -17 - (-70)\/4)*(0 - -2). Calculate the highest common factor of 14100 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from wpwwwwwpwwwpwpwwww.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117800 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p - 3. Let j be k(-3). Let y be (-2)\/16 - (-3)\/24. Solve f + y*f = j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*j = -2, -6 = 5*a - 2*a + 3*j. Let w be -3 + 1 + a\/1. What is the biggest value in w, -1\/2, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence floo when four letters picked without replacement from {x: 5, f: 1, o: 4, l: 1, i: 9}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348760728*t**4 - 36*t**2 - 76731*t - 1?\nAnswer: -8370257472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.212 and -82.\nAnswer: -345.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48 from -10609777346.2.\nAnswer: -10609777394.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 + 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64 or 1077\/17?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/20 + (216\/(-105))\/3. Let d = 3182\/9 - 354. Let i be 364\/(-910) - 6\/(-10). Which is the closest to 1? (a) i (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 2 - 23 = 10*f. What is the second smallest value in -2202, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.3539058 rounded to 0 dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1257 - 1256. Which is the nearest to 0.2? (a) 1\/3 (b) -2\/61 (c) n (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2\/5, -1\/3, 0.3, -1, -454 in descending order.\nAnswer: 4\/3, 2\/5, 0.3, -1\/3, -1, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*z = 24, -16*l + 13*l = 3*z. Solve 5*o - l*v = -v - 24, -2*v - 3 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - 3*sqrt(108)*-4)\/((sqrt(315)\/sqrt(5))\/sqrt(7)))\/((sqrt(54)\/sqrt(36) - -1*sqrt(6)*-6)*-1).\nAnswer: 26*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1430 + 1508. Let z(y) = -14*y - 5. Let v be z(-6). Let n = v - j. Solve r = -4 - n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.31 (b) -1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 244*s**2 - 1344*s + 327894. What is p(244)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 18*v + 25. Let b be o(-14). Calculate the greatest common factor of 43 and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44118 and 10449?\nAnswer: 397062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 13510 - 18067. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/120 - 3*c**4\/8 - 50*c**3\/9 - 25*c**2 + 3540*c + 2. What is j in l(j) = 0?\nAnswer: -15, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -239500ba - 7?\nAnswer: -23950105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 + 2*i**2 + i - 3. What is r(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -34. Let w = f - -39. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - s. Let u be q(1). Let n(a) = -a**2 + 0*a + 10*a**3 + 2*a - a**3 - 1. List the prime factors of n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 17*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 114 = -0*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44140*1.5\nAnswer: -66210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 634 = -2*r, 4*r - 644 = 4*u - 7*u. Let y be u\/14 + (-1)\/(-7). Calculate the highest common factor of y and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 6*s**2 + 6*s - 5. Let j be r(-7). Suppose -j*a - v + 9 = 0, -5*a + v = -a - 3. Calculate the lowest common multiple of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 20*d**6\/9 + 196*d**5\/15 + 23*d**4\/3 - 412*d**3\/9 + 2*d**2 + 24*d - 56. What is i in u(i) = 0?\nAnswer: -3, -2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/37)\/o)\/o**(-2\/11))\/(o**2\/(o**(-6\/7)\/o)) assuming o is positive.\nAnswer: o**(-13474\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2736) + (sqrt(2736) + -2)*3 - sqrt(2736)))**2 - 2*((sqrt(19) - (sqrt(1216) + -2*sqrt(1216)))*-6)**2.\nAnswer: -6912*sqrt(19) + 283752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v**2 - 11*v**2 + 8*v**2)*((-3*v**2 - v**2 + 2*v**2)*(0 - 2 + 3) + (2*v - 4*v + 0*v)*(1 - 1 - 2*v)).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -9605 and 936 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -7193, -173\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262 - 115. Suppose -5*q = -m + 27. Calculate the greatest common factor of q and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001509683 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 93, 5, -50?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g**2 + 14*g + 25*g**2 - 37*g**2 to q + i*g + s*g**2 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4066726*b**3 - 12815*b**2 + 2*b + 4.\nAnswer: -24400356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 8*g**2 - 4*g + 14. Let k = -5826 - -5834. Calculate w(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 79 and 53.10224?\nAnswer: 25.89776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3\/3 + 4*w**2 + 3*w + 3429. Give m(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 25 (b) -69 (c) 41 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/5 + 161068*g**2 + 16214312890*g = 0. Calculate g.\nAnswer: -201335, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2\/13*n**4 + 2\/13*n**2 + 12\/13*n + 0 - 8\/13*n**3 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-130)\/(-12)*(-9)\/10. Let u = p - -477\/44. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*t - 3*x + 56, 2*x - 56 = 4*t. Let a be t\/(-9) - ((-148)\/18 + 8). Let w be 3 + -5 - 5\/(-1). Solve -g + 1 = 5*y - w*y, -a*y + 2*g + 16 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2324 = 512*o - 429*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lle when three letters picked without replacement from eeeeeeelleeeeeeeee?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 1. Let l(g) = g**2 + 1 - 8*g + 2 + 3. Let r be l(8). Let n be ((-2)\/r)\/(1\/(-15)). Give c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -3*n. Suppose k = -0*k + n. Suppose 5*r = -20, -4*t = -2*r - 19 + k. Which is bigger: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -98*f - 7. Let p be g(-11). Suppose 0 = -t - 4, 0 = 3*i + 2*t - 4510 + p. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*f + 1639*f**2 + 12*f - 1786*f**2 + 3867*f**2)*(-5*f + f + 2*f).\nAnswer: -7440*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 308\/(-42))*-3 + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1511*s. Let c(u) = 3*u - 6. What is c(q(f))?\nAnswer: -4533*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143370 and 10442115?\nAnswer: 62652690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 56.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 185 = 71. Let b be 0 - (m\/(-14) - -3). What is the nearest to -0.1 in 4, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 - 13*t**2\/2 - 26*t - 449. Determine a(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:21 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 15. Suppose -p*y + 521 + 39 = 0. Calculate the greatest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*j**2 + 2*j**3 - 113*j**2 + 59*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.61, -1, 1\/2, 987\/2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/20 - r**4\/2 + r**3\/2 - 3*r**2 - r. Let z be q(7). Let i = -41 + z. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91195 + 3*v + 0*v + 6*v - 11*v + 3*v.\nAnswer: v - 91195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + t + 2 + (89*t - 38*t + 143*t)*(7 - 3 + 0))*((4 - 2 + 0)*(-2 + 2 - t) + 3*t + 4 - 4).\nAnswer: 777*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 35572.\nAnswer: 3557.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.17 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + ((sqrt(98) + (sqrt(98) - ((-2*4*sqrt(98) - sqrt(98)) + sqrt(98) + sqrt(98) + sqrt(98))) - sqrt(98))**2 + sqrt(98))*2 + -4.\nAnswer: 14*sqrt(2) + 9602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-20))\/(21\/(-420)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46665, 46673, 46687, 46707, 46733, 46765, 46803?\n\"Answer: 3*q**2 - q + 46663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2455 + -2308. Calculate the greatest common factor of d and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1475)\/57820*-490)\/(10\/(-76))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131140 + 2?\nAnswer: 131142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27478450 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 67?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/88 and 55\/40512.\nAnswer: 445632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 7*a**2 - 6*a - 5. Let s be n(6). Let d = s + 7. Let f be (-1342)\/(-61) + 56\/(-3). Are d and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m - 9. Let o = -5 + m. Calculate the smallest common multiple of 8 and (-3)\/(-6) - (-22)\/o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -29. Find n, given that 0*n**l + 0*n + 2\/7*n**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1704035*a**4 - 602397*a wrt a.\nAnswer: 20448420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9778\/345 - -85\/3. Let y = p + -217\/1495. Let h = -11 - -15. Put y, h, -3, -2 in increasing order.\nAnswer: -3, -2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10324 by -4.\nAnswer: 2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 126, 280, 496, 774, 1114?\n\"Answer: 31*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-183)\/9)*(-15)\/(-5). Which is smaller: -61 or v?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/8 + 1\/8. Let a = -0.07 + -2.93. Put a, -1\/10, f in ascending order.\nAnswer: a, f, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - n - 1)*(28*n - 28*n + 2*n**2) + n - n - 2*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 4, v: 2, f: 3}. Give prob of sequence gvfw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 1311577740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -0.4, 103?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z**2. Let u(g) = 11*g + 7*g + 7*g - 23*g. Determine u(j(f)).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 = 5*p + 21, -m + 2*p = -13. Solve 0 = 5*d - m - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 - -0.1. Let m = y + -5. Let q = -2.915 - m. Round q to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4273, 4286, 4313, 4360, 4433, 4538?\n\"Answer: m**3 + m**2 + 3*m + 4268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 5594029382115 + 5594029382115.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + (-9 - (-6 - 1)) + 19?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81536907.\nAnswer: 3, 593, 45833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172178 is divided by 172173.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -17.6. Let v be (-444)\/(-15) - 2\/10. Let m = v - 29. What is the closest to m in w, -2\/7, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c + 3. Let o be a(0). Let s = 684 - 483. Let g(n) = 201 - s + o*n. Let l(i) = 10*i**2. Calculate g(l(p)).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.6. Suppose 832 = 8*d - 12*d. Let h = d - -207. What is the closest to h in n, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:19 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 - a**5\/30 - a**4\/24 - a**3\/6 + a**2. Let w be (-1 + 5)*(-1)\/(-1). Suppose 3*z - z = -w. What is f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 - 4 = -4*h - 7*q + 11, 3826*q - 3827*q = -13 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -4*i - 20804*k + 20809*k, -11*k = 4*i + 5 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599109303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/(-429))\/(1\/(-9)). What is the smallest value in x, 10, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 2, m: 2, l: 6, n: 4}. Give prob of picking 1 s, 1 m, and 2 n.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(70)*-4*-1 - sqrt(70))\/(sqrt(810) - (sqrt(810) + 2*sqrt(810))).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41832 - -70129. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) - (sqrt(1008) + -1 + sqrt(1008))) - sqrt(7))*2 + (sqrt(7) + sqrt(448)*-1 - sqrt(21)\/(sqrt(12)\/sqrt(4))))**2.\nAnswer: -152*sqrt(7) + 10112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 - 6*w - 3. Let g(v) be the second derivative of -v**4\/6 - v**3\/3 - v**2\/2 + 427*v. Let h = 31 - 28. Determine h*j(o) - 8*g(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7820 + -7660. Solve 6*m - t = 26*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 + t**4 - 12345079*t**3 - 5731151*t**2?\nAnswer: 120*t**2 + 24*t - 74070474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -445476\/5 at least as big as -89096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = 18 - 108. Solve 10*b + 20 = u*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhhbjj. What is prob of sequence jjh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 34.875. Let c = -0.2 - j. Round c to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 11*c**2 - 361*c + 10. List the prime factors of q(19).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or -6?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 1\/90*p**6 + 0 - 1\/210*p**7 + 0*p**4 + 0*p + 0*p**5 + 8*p**2 - p**3. Let o(w) be the first derivative of c(w). Factor o(u).\nAnswer: -4*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w - 564449 = -70*w - 168320. What are the prime factors of w?\nAnswer: 3, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95727181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/39*6\/8)\/(20\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/5 + 11*x**3\/5 - 9*x**2\/5 - 119*x\/5 - 98\/5.\nAnswer: -(x - 7)**2*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7559112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1173442 - 56?\nAnswer: 1173386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and 6.38.\nAnswer: 0.23606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2935635205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -3, 63 in descending order.\nAnswer: 63, 11, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -130\/1362589 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 3*v**3 + 2*v**3 + (v**2 + 1 - 1)*(-8*v + 5 - 5) as t*v**3 + h*v**2 + p*v + d and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/659555 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 879?\nAnswer: 29007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-62)\/(-3038)*14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)*(-24)\/(-3 - -2). Solve 9 = -21*a + w*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -11*v**4\/4 + 163821*v**3\/4 + 6271373*v**2\/4 - 5270565*v\/4 - 582309\/2 = 0.\nAnswer: -39, -2\/11, 1, 14931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*h**5 - 4*h**5 + 13*h**5)*(-4 + 2 + 1) - 2*h**5 + 0*h**5 - h**5 + 173*h**5 - 114*h**5 - 113*h**5.\nAnswer: -94*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 2\/75, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 2. Let v be r(0). Suppose -21 = -5*o + 2*x, -v*x = -1 + 7. What is the common denominator of ((-1896)\/432)\/(1\/o) and 49\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 6*i**2 + 69*i\/2 + 40.\nAnswer: -(i - 5)*(i + 1)*(i + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10*f = 6*f - 1708, 3*f - 591 = -o. Calculate the greatest common divisor of 72 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k - 3. Let l be 1*2\/(-2)*-2. Suppose -3*v + 2*o + 8 = 0, v + l*o - 4*o - 4 = 0. Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4988 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.37 + -23.47. Let z = -0.9 - 1.15. Let n = z + 0.05. Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x + 5. Let v(u) = 6*u - 2. Let t(b) = 11*b - 4. Let d(a) = 3*t(a) - 5*v(a). Let k = -59261 + 59259. Determine k*w(r) - 5*d(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, 0.5, -204, -0.07, 74\/9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200503357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1039 - -1084. Let c be (-13)\/(1989\/x) - -1. What is a in 2\/17*a**3 + 16\/17*a**2 + c + 26\/17*a = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26.9 and 8.2.\nAnswer: 220.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a6 + 3?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2691540 - 2147635 = -21*k - 248218. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-7)\/((-140)\/(-8)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -42.1. Let h = 3.5 + -3. Let y = h - a. What is the nearest to 1\/2 in 1\/3, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/98822 and 89\/16.\nAnswer: 790576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.17, -2\/9, -2\/3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -78*j**2 + j - 2*j + j + 77*j**2. Let q(u) = -32*u**2. Determine q(y(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -30, -56, -90, -132, -182?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 252880.\nAnswer: 3\/252880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 1, 0.2, 2, 413\/2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b + 4. Let m be (1 + 3)*(-1 - -4). Let x be u(m). Let g = 89 - x. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*b + 5, 33*h - b = 36*h - 24. Solve 60 = 5*t + h*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.04 (b) -0.4 (c) -1\/2 (d) -0.1 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5 (b) -5 (c) -2042.72 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10775 and 1625?\nAnswer: 700375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -42.8 times -164514\nAnswer: 7041199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:19 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3966266 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.48 in -4\/9, -2\/13, 5, 19, 1, 0.02241?\nAnswer: 0.02241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1\/3, -8.17, 0, -2?\nAnswer: -8.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/10*(-10)\/(-3). Let b(d) = d + 4*d**2 - n - 3*d**2 + 0*d - 5*d. Suppose 5*s - 1 = 19. Determine b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = -7. Let d be u*((-3)\/(-12) - 1). Let j(t) = -t**3 + 4*t**2 - 3*t + 2. Determine j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -53. Suppose -s + 3123 = 3*f, 0 = 3*s - 8*s - f + 15685. Suppose 2*w - 4*d = -0*d + s, -5*w - d + 7801 = y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0016 - -0.2016. Let t = -4 + 6. Let z = -4 + t. Which is the third smallest value? (a) z (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, 1, -3898.\nAnswer: -3898, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -318 - -298. Let n(m) = m + 21. Let x be n(j). Solve 3 = -4*c + t - 6*t, 3*c + 5*t + x = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0832 - -0.4832. What is the third smallest value in g, -2, -0.05, 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1063163 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.702 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4\/22 - 14*d**3\/33 + 15*d**2\/11 - 18*d\/11 + 176. Factor y(x).\nAnswer: 2*(x - 3)**2*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = 4*f + 2*z, 3*z = -2*f + 5*z + 290. Suppose -s = 4*s - f. Suppose -34*h + s*h = -120. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:48 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 5*h - 12 = 0. What is the least common multiple of 11 and h\/((-6)\/(37 + -1)*2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z*z\/z**(-2\/5))*z)))\/z**(-5))\/(z**(-4\/7)\/z**(-7))*(z**(-7)\/((z\/z**(3\/4)*z)\/z))\/(z**8*z**(-4)) assuming z is positive.\nAnswer: z**(-1831\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 15*r + 17. What is l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**3 + 9*i**2 + 9*i - 17. Let x(q) = -5*q**3 - 4*q**2 - 10*q + 2. Let p(o) = o**3 + 2*o + 2. Let w(r) = 3*p(r) + x(r). Calculate 4*j(m) + 9*w(m).\nAnswer: 2*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 175473 and -3.\nAnswer: -526419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 146*t - 150*t - 16, 13 = 3*j - t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11975.000005013 + 11975. What is t rounded to 7 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11892, 13710, 15524, 17334, 19140, 20942?\nAnswer: 22740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 33*r**2 + 24*r + 466. Determine p(34).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -366, -318, -250, -162, -54, 74?\n\"Answer: 10*p**2 + 18*p - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -g, -6*g + 3*g - 5*t - 25 = 0. Let z be 32000*(-5 - 5\/g). What is z rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*-45*(-29)\/290.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -2, -28, 4.\nAnswer: -28, -2, -1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 <= -95.31297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002057151048 to seven dps.\nAnswer: -0.0020572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96288 smaller than 96290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, 2\/355 in ascending order.\nAnswer: -1\/2, 2\/355, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 847070 a multiple of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 + -7. Let p = 1.2 + k. Which is the second smallest value? (a) -2\/7 (b) -0.5 (c) 2\/11 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 8*b**2 + 2*b - 3. Let l be 11 + 5\/((-15)\/9). What is the units digit of s(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 7. Suppose 2*y + 4*p + 40 = -2*y, -2*y - 4 = -2*p. List the prime factors of q(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111022 (base 5) to base 3.\nAnswer: 12022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 14. Let o be m(12). Which is the second biggest value? (a) -1\/9 (b) o (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1610388 divided by 10.\nAnswer: -805194\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 7. Let k(j) = -193160 - 2*j + 114*j**2 - 108*j**2 + j**3 + 193158. Determine k(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 768 + -244. Suppose 0 = -3*m - 3*f - f + 1564, m = -2*f + i. Suppose -9*p - m = -15*p. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/35 and -91\/114.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/20 + 215*w**4\/3 - 1925*w**3\/3 - 606*w + 3. Find the second derivative of n(u) wrt u.\nAnswer: -6*u + 1720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**15*p))**37)**26 assuming p is positive.\nAnswer: p**(-14430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, -1.37, 0, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7049936 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 - -92. Let g be 55\/20 - 4\/d. Suppose 4*f = 5*n + 595990, g*n = -f - 43944 + 192950. Round f to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Let w = -720.81 - -721.01. Let f = 4.9 + -5. Which is the third biggest value? (a) -2\/5 (b) f (c) k (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 8*q**2 + 8*q. Let u be 58\/(-7) - (-2)\/7. Let d = u + 15. Let c be g(d). Calculate the highest common factor of c and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9657168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let j(x) = -x - 4. Let n be j(-4). Let u = n - c. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**5 + 1073*k**3 - 2*k**2 - 48081040*k.\nAnswer: 80*k**3 + 6438*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57365 - -51.074.\nAnswer: 57416.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1282, -1218, -1112, -964, -774, -542, -268?\n\"Answer: 21*n**2 + n - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 432 - 273. Let k = i - 159. Let b be (-146)\/8 + (-1)\/(-4). Sort b, k, 2 in ascending order.\nAnswer: b, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 209870\nAnswer: -10493.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.17667 take away 86?\nAnswer: -191.17667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 19?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 727679*n**5*o**2 - n**4*o**3 - n**2*o + 11*n*o**3 + n*o**2 + 19955*n*o wrt n.\nAnswer: 43660740*n**2*o**2 - 24*n*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13747569900 to the nearest one million.\nAnswer: 13748000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + n**2 - 783*n + 884*n - 101*n. Let v(m) be the first derivative of -7*m**3 - 1. Give t(v(w)).\nAnswer: 1323*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 474, 979, 1474, 1953, 2410, 2839?\n\"Answer: -j**3 + j**2 + 509*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*p**3 - 18*p**3 - 18*p**2 + 500*p**5 - 22*p**4 - 502*p**5.\nAnswer: -2*p**2*(p + 1)**2*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by 1339.\nAnswer: -13\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 48*y**2\/7 - 296*y.\nAnswer: 2*y*(y + 14)*(7*y - 74)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-333)\/(-814))\/((-2106)\/(-429))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 37 + 22 = 0. Let t(p) = 2*p**3 - 5*p + 4. Let x(b) = -2*b**3 + 6*b - 5. Calculate f*x(y) - 4*t(y).\nAnswer: -2*y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzgljlzglttjzg. What is prob of picking 1 j, 1 z, 1 t, and 1 l?\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3. Let u be p(1). Let r = 2.1 + -2.1. What is the closest to u in 1, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978886.\nAnswer: 2, 263, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, 2\/3, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 7*u + 7. Suppose -o - 36 + 43 = 0. Calculate l(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -93*i + 100*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 6\/2489, 11\/6 in ascending order.\nAnswer: 6\/2489, 0.04, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*r**5 - 52*r**5 + 114*r**5 - 16 + (2*r**4 - 2*r**4 - r**4)*(-8*r + 5*r + 0*r).\nAnswer: 4*r**5 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - -29) - 2) + -81 + 34 + 44.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t - 1. Let y = 66 - 65. Let s(j) = 3*j**2 - 5*j - 5. Calculate y*s(v) - 4*a(v).\nAnswer: -v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 288683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/18)\/((-9)\/(-18)*-6)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*l + 186 = 687*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -6. What is the common denominator of (-52)\/l*(-150)\/12 and 53\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 t when three letters picked without replacement from xxaaaxaaexaaarxtt?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12781713 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 467346\/35405*((-40)\/(-6) + 0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 20. Suppose 2*r - 12 = -2*r. Suppose q*j - 5*f = 19 + 21, r*f = -3*j + 24. Calculate the greatest common divisor of 88 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -11*n + 0*n**2 + 7*n**2 - 27 - 43 - 2*n**2 - 14*n = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 20*a - 37. Calculate the remainder when u(4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1))**0*(a\/(a\/a**(-2\/3))*a)**(-22) assuming a is positive.\nAnswer: a**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*p + 4*f - 3*f, 5*p - 3*f = 81. Let c = 1 - 3. Let l = 7 - c. What is the highest common divisor of p and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -1. Suppose 3*x = n*x. Factor 1\/4*o + 0*o**2 - 1\/2*o**3 + 0*o**4 + 1\/4*o**5 + x.\nAnswer: o*(o - 1)**2*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*g*m**4 - 2*g*m**3 + 20*g*m - 2*g + 202*m**5 + 123*m**2 wrt m.\nAnswer: -3576*g*m - 12*g + 12120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqcnjccnrna. Give prob of sequence cjc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, s: 2, l: 1}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -32*d**3\/3 - 64*d**2 - 140*d. What is the derivative of r(i) wrt i?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 10:37 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -720 - -716.59. Let c = -3 - z. Let a = c + -0.41000188. Round a to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2510 and -101\/3227860.\nAnswer: 3227860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 102759935.\nAnswer: 6\/102759935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -912, -1443, -2022, -2649, -3324, -4047?\nAnswer: -4818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eepeprppeeqqdpedodqo. What is prob of sequence popo?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/7)\/s*s*s)**14*((s\/(s*s**(-1)*s)*s)\/s)**(-39) assuming s is positive.\nAnswer: s**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47860 (base 9) in base 5?\nAnswer: -2011144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332236 - 332236 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o + 1. Let p = 6 - 3. Suppose 5*w + 15 - 40 = 0, -3*w = -5*g - 25. Let z(m) = m**2 - 3*m + 1. Calculate g*z(q) + p*x(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174*s**4 - 37*s - 20*s - 35*s + 218*s**4 wrt s.\nAnswer: 528*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2 - 3*x - 21. Let n(b) = 9*b + 39. Let k be n(-5). Calculate a(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 116*u**2 + 1003260*u - 207576 = 0.\nAnswer: -8649, 6\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 13*s**2 - 3*s**2 - 3)*(-4 + 12 + 13)*(s + 0*s + s) as x*s**3 + q*s + y + d*s**2 and give x.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 37. Let k be q(16). What is the closest to 0.1 in k, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 1. Let o be i(1). Let l be 4\/(-12)*-6 + o. Suppose 228 = l*v - 54. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d - 1. Let l be (-6)\/24 - (-117)\/36. Give p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 38*z**2 - 49*z - 397. Let j be h(-39). Let l(s) = -s**2 - 9*s - 13. Calculate l(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85910380 to the power of 1\/2, to the nearest integer?\nAnswer: 9269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174903 and 2798448.\nAnswer: 2798448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -312*i**4 + 20*i**3*t**2 + 511*t**2 - t - 4 wrt i.\nAnswer: -1248*i**3 + 60*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 128*o - 219. Let r = -0.14 - -1.54. Sort r, o, -0.5 in increasing order.\nAnswer: -0.5, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -3, 0.1, -2\/3, -0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 3.8. Which is the smallest value? (a) 4\/3 (b) x (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1469, 1458, 1435, 1394, 1329?\n\"Answer: -y**3 - 4*y + 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 9*609\/189 + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:40 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g + 2*s - 10, 5*s = g + 23. Calculate the least common multiple of g and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 14388050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 3. Let p be w(-3). Let z = -60322 + 60326. Solve p = -h + z*n + 4 + 14, 0 = -3*h + 2*n + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*z - 1, 0 = 3*b + z - 0 - 1. Is b less than -20\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2438*s + 48142. Give c(-20).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 26*m**3 - m**2 + 0*m**2 - 60*m**3 + 32*m**3 - 13*m + 2*m**4 in the form y + z*m**4 + i*m**3 + n*m + w*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 1, l: 5, b: 1, m: 2}. What is prob of picking 2 m and 1 l?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12262, 4, 5, -0.4, -2\/15 in ascending order.\nAnswer: -12262, -0.4, -2\/15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 102\/20 - (-1)\/(-10). Solve 2*b + g*h = 7, 3*h - 21 = 3*b - 0*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(12) - sqrt(12)*1))\/sqrt(6))**2 - ((sqrt(162)*-2)**2 + 5).\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 - 7931*m**4 + 34806*m**2 wrt m?\nAnswer: -120*m**2 - 190344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844118124.\nAnswer: 2, 711029531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27412927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -34) + -8 + -6 + -9 + 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -415 and 5.53.\nAnswer: -409.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9379.524 months?\nAnswer: 0.781627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:51 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2025*h + 36465. Give o(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*g = -14, -g + 6 = 5*v - 0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.258709 millilitres in litres?\nAnswer: 0.005258709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by (0 + (-68)\/14)\/(1\/(-7)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 337, 694, 1299, 2152, 3253?\n\"Answer: 124*i**2 - 15*i + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/36 - 470\/90. What is the closest to 1\/11 in 0.3, 2\/15, 0.2, y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 12) to base 16\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/30)\/(483\/(-115)))\/((-96)\/224)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-10)\/(-2))\/(-70)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3111 - 3638 - 8735 + 2*n**2 - 5513.\nAnswer: 2*n**2 - 14775","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v + 6. Let b(d) = -d - 2. Let s(u) = -6*b(u) - r(u). Determine s(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12928206 and 245267.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -0.004 in increasing order.\nAnswer: -2, -0.004, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a (base 13) in base 11?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 410128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*k + 2286 = -714*k + 2636*k - 158664 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86370853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 12:48 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.11 + -0.11. Let p = 3 - i. Let t = -1.5 - p. Which is the nearest to 0.1? (a) 4 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 3*i**3 - 3*i**2 + 2*i**3 + i**3.\nAnswer: 3*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2824 or 7217?\nAnswer: 2824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/223317 and 1\/347382.\nAnswer: 3126438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7976 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1055633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032002 + 0?\nAnswer: 3032002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -4)\/(16\/(-12)). Suppose -i*g = -17 - 118. What is the remainder when g is divided by -46*1*2\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + (3 + sqrt(7))**2.\nAnswer: 12 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162 + 314780?\nAnswer: 315052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*u + 65370690 - 65374848 = 0 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - c - 5049 + 5043, 35 = -5*n - 6*c - 0*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -38. Let k = 61 - 61. Is k < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Suppose -8*k + 5 - 5 = 0. Suppose k = -9*b + 229 + 257. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvcccvvvacvcc. What is prob of picking 2 v?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 183, 93, 3, -87?\n\"Answer: -90*v + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137418501 is divided by 217.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1172\/7 - 168. Which is greater: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)*a)\/a*a)**(-3\/5)\/(a*a*a*(a**(-1\/3)\/a)\/a*a*a**(-1)) assuming a is positive.\nAnswer: a**(-67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 24. Let i = z + 29. Factor -1\/2*n**4 + i - 3\/2*n**2 + 1\/2*n + 3\/2*n**3.\nAnswer: -n*(n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8714310 by 330.\nAnswer: 26407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/((133\/(-1026))\/((-756)\/(-162))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 167?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 1044815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4549 - -6588. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793383588.\nAnswer: 2, 59, 281, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.3, -5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327443*k*m**3*o**2 + 3*k*m**3 + k*m*o - 388*k*m + 4*m**3*o - 1 wrt o.\nAnswer: 654886*k*m**3*o + k*m + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 16, -4, -1, -52, 17 in ascending order.\nAnswer: -52, -5, -4, -1, 5, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13066030 and 3893850?\nAnswer: 587971350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 526, 1938, 4300, 7618, 11898, 17146, 23368, 30570?\n\"Answer: a**3 + 469*a**2 - 2*a + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(4\/9)\/m))\/m)\/(m\/(m\/m**(-2\/9))) assuming m is positive.\nAnswer: m**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 151595919773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:19 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-2) - 3) + 0)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 196. Let r be t(39). Calculate the highest common factor of 141 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*x - 722, x + 276 = 3*x - 4*t. Suppose x*h = 149*h + 597000. 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 closest to -0.1? (a) -0.01 (b) 3 (c) -0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 z, and 1 u when four letters picked without replacement from zhuzhxzz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.5629 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4914 - -0.0214. Let v = -2.937 - q. Round v to two dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttttttbbtttytbbbb. What is prob of sequence tt?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 3*l**6\/5 - 19*l**2\/2 - 19*l. What is the first derivative of i(r) wrt r?\nAnswer: 72*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 + 2*n - 1. Let i(t) = -2 + 2*t + 3 + 12*t**2 - 4*t. Let w(u) = 5*d(u) + 4*i(u). What is w(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -4 + sqrt(2) + -2)**2 + sqrt(18) + -1.\nAnswer: -21*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297278?\nAnswer: 2, 148639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13))**(-34)\/(j**24*j**(14\/5)) assuming j is positive.\nAnswer: j**(-1402\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863392 is divided by 143838?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 5. Let g be p(-7). Let k be (-1)\/(-4) + (-11)\/(-4). Suppose -2*i = k*i. Solve i = -4*a + 2 + g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.2. Let x = -0.02 - -1.02. Let g = -1.1 + x. What is the third smallest value in g, -2, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5538704 or 5538697?\nAnswer: 5538704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*f - 25, -20 - 15 = 2*h - f. Let y = h - -22. Solve p = c + 3*c + y, -3*p - 3*c = 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006742050047 to 5 dps.\nAnswer: 0.00674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 4*u + 1. Let s be d(-3). Let q(o) = -o**3 - 2*o**2 + o - 1. Calculate q(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 163?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - 4*r)*(-2 + 2 + 2)*(-2 + 2 + 2*r)*((-5*r + 4*r + 3*r)*(2*r - 2 + 2) + (0*r + 6*r - 3*r)*(1 - 1 - 4*r) + 10 - 2*r - 10 + 6*r**2).\nAnswer: 8*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476870497 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/101, 4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 at most -118\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1032*u**3*z**2 + 2*u**3*z - 2*u*z - 33*z wrt z?\nAnswer: 2064*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*21\/6*-1. Suppose -4*p - 5*l = -6 - 1, 5*p + 2*l - 13 = 0. Suppose 2*g + 11 = 5*r - 3, 0 = -5*r + 20. Solve g*i = -w + t, 3*i - 10 = -p*w - w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygqjjigiyiyyyi. What is prob of sequence gi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104, 165, 156, 41, -216?\n\"Answer: -6*l**3 + l**2 + 100*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - l - 15*l - l - 11. Let v(b) = -b. Let y(a) = 2*a**2 + 8*a + 7. Let n(t) = 3*v(t) - y(t). Let x(w) = -8*n(w) + 5*o(w). What is x(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49.59916 times -3\nAnswer: 148.79748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106797108139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-18 + (-3 - 9) + 55)) + 122 + 1\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35185821 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5090 (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 5*h + 2*n + n, -h + 4*n + 1 = 0. Let t = h + 21. Suppose 0*s = s - t. Calculate the highest common divisor of 70 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17714960 rounded to the nearest 10000?\nAnswer: -17710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {s: 4, j: 2, f: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 0.318, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*j - 6, -7*b = -5*j - 10*b + 13. Solve j*q + 8 = 0, -32 = 5*h - q + 4*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1068900)\/(-2160))\/509*4\/5?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(590*n + 367*n - 508*n)*(3*n**2 - 2*n**2 - n + 3*n).\nAnswer: -898*n**3 - 1796*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 48*w + 215. Let i be x(44). 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: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f**(-13)*f))**(2\/3)*(f**(2\/3)\/f)**12 assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5*y - 10 = 4*t, 2*y - 4 = 0. Suppose -4*d - 5*u - 32 = -0*u, t = d - 4*u + 29. Let o = d + 106. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - 3*v**2 + 2*v + 3. Give a(-4).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akat when four letters picked without replacement from kaakkktktkkkkkkkka.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16267.01l to millilitres.\nAnswer: 16267010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185310 or -185311?\nAnswer: -185311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + m - 2*m - 1 + 1 + (4 - 3 + 31)*(6*m - m - 3*m).\nAnswer: 63*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Suppose -3 = -8*v + 13. Let w(j) = -13*j**2 + 30*j**2 - 9*j**v - 9*j**2. Give y(w(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(((-18)\/(-8))\/3). Let k(w) = -2*w - 10. Let o be k(s). Calculate the highest common divisor of 48 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1034 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 + 2*q**3 + 5*q**2\/2 + 6*q - 5. Let c be u(-4). Let m = 20 - c. What is the highest common divisor of m and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/22374 - 2\/339. Let u = -5\/22 - r. Let q = -3.5 + 3. Which is the biggest value? (a) u (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/9 - (-20)\/810*-9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40\/471 + 16379\/32028. Calculate the common denominator of u and ((-15)\/4 - -3)\/(4680\/(-1278) - -4).\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -26299*r**2 + 26303*r**2 + 3*r + 0 - 4. What is b(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151015978 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 6*z**2 - 11*z. Let c(d) = 7*d**2 - 11*d. What is 5*c(w) - 6*p(w)?\nAnswer: -6*w**3 - w**2 + 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 269, 470, 745, 1094, 1517?\nAnswer: 2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9736.273mg to tonnes.\nAnswer: 0.000009736273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162.8 + -167.8. What is the fourth biggest value in -306, 0.2, f, 1?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 747237?\nAnswer: 747237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 6426976 and 6426976 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 38\/6079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 24*o - 8*o - 5*o - 3*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002304174 rounded to 6 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/101213 (b) 3\/2 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -134, -265, -448, -683, -970, -1309?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25640483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7 = -v - j, 5*v - 3*j = 21. Suppose v*n = -n. Suppose -3*t = -5*o + 934, o + n*t + 4*t - 173 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25707)\/902*10\/15.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -4\/9 (c) 0 (d) 3\/11 (e) 8\/5 (f) 1.427 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*r**5 - 2*r**2 - 46.\nAnswer: -1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 177. Suppose u = 5*w - p, 1 + 0 = 4*w - p. Sort 5, w, -10.\nAnswer: -10, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 3741?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -144*n - 10. Let z(l) = -143*l - 11. Let i(m) = 6*r(m) - 5*z(m). Let o be i(-5). What is o rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*y + 3 = 4*f, -3*f = -2*y - 13. Suppose -2*o - 21 = -f*o. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/4 + 57046*r**2 - 17336283*r\/4 + 4277025 = 0. Calculate r.\nAnswer: 1, 75, 228108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/85 in 76, 1\/4, -2\/7, 2\/9, -4, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*v - 40, -3*s + v - 68 = -13. Let m = s + 13. Let j be 2 + 4\/(4\/(-3)). What is the nearest to j in m, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-8))\/(1\/12). List the prime factors of (-8)\/(-12) - 794\/a.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (-1*sqrt(98))**2)*-6 + (sqrt(264)\/(sqrt(396) + sqrt(11)))\/(sqrt(12) + (sqrt(588) - 1*sqrt(588))).\nAnswer: -552 + sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40*6\/(-225))\/((-4)\/6)*5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 4*s + 448. Let g(v) = v + 45. Let q(m) = 45. Let a(l) = 4*g(l) - 5*q(l). What is the units digit of a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 - 78*u**2 - 256*u + 12. Calculate p(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*k - 2*d, 2*k + 2*d + 2*d = 50. Let z(f) = -2*f + f + 1 + k. What is the units digit of z(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1347 + -1346. Which is the third biggest value? (a) 2\/61 (b) x (c) 1\/6 (d) 0 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6376\/9 + 6370\/9. Which is the closest to w? (a) 117 (b) -1.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.4, -5, -5718, -1\/2 in ascending order.\nAnswer: -5718, -5, -1\/2, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/27 - (-29)\/9. Let u be (s\/2)\/(2\/36). Suppose 2*i - 9 = -x, 2*i + 2*i + u = x. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4235972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198966203 and 645?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*f = -k - 4, -2*f + 4 = -k. Let y(o) be the third derivative of -o**4\/8 + 2*o**3\/3 - 70*o**2 + 4*o. Calculate y(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -3, 3 in ascending order.\nAnswer: -24, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 722 - 275. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -14, -2.\nAnswer: -14, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29365203 and 4?\nAnswer: 117460812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49244872 by -24116.\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 620\/220 + 2\/11. Suppose r*g - 8 = 4. Solve -3*z - g - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 23*i**2 + 5*i - 5. Let k(g) = -24*g**2 - 4*g + 4. Calculate 5*k(u) + 4*o(u).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2) - 0)*6. Let h be j*(-1 + 112\/(-6)). Let k = h + -55. Solve k - 2 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 7*v = 22890. List the prime factors of v.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.18 - 1.68. Let n be (-2)\/(-1) - 38\/20. What is the closest to n in 2, -2\/9, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-10 - -16) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*g = -8*g + 108*g + 76*g + 16740 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**2 - 14*y - 41. Let f(v) = 9*v**2 - 12*v - 38. Give 6*f(x) - 5*j(x).\nAnswer: -6*x**2 - 2*x - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2210047 and 4144.\nAnswer: 35360752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*k + 63*k - 1245 = -435. Solve -20*q - k*c = -17*q - 21, -4*c + 22 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043620312 rounded to 7 decimal places?\nAnswer: 0.0004362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 31122346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 + 143*u - 4. Determine f(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2 - 1\/2*x + 1\/4*x**2 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11 = -0*v - 2*v, 4*l = -v + 10. Suppose -5*w + 8 = -3*z - 8, -2*z = -l*w + 9. Suppose w*s = -0*s + 545. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/2, 5, -2\/47, -99, 6\/5.\nAnswer: -99, -3\/2, -0.1, -2\/47, 6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = f + 72. Put 2, f, -5 in decreasing order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l**2 - l - 62. Let k be i(17). Let p = -14791\/5 - k. Find the common denominator of p and -25\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (2*(3 + sqrt(125)) - (sqrt(125) - (-2*(2 + sqrt(125)) + sqrt(125))))*-3)**2 + 0.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(324))\/(-2*sqrt(192)) + 4).\nAnswer: -3*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190597444 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {b: 1, t: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 251 - 248. Suppose 5*r + 5*f = 890, -3*f = m*r - 5*r + 371. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 1, v: 2, g: 13, c: 2}. What is prob of picking 2 v and 1 b?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6312 and -16592.7057?\nAnswer: 22904.7057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(90))\/(sqrt(48)\/sqrt(3)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 + -11.76. Let z = -7 - x. Let p = -0.107 - -0.507. What is the nearest to -2 in z, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 89.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/80 - y**4\/24 + y**3\/24 + 11*y. Find l such that w(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**40)**16 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q. Let c(r) = -6*r**2 + 3*r. Let g(k) = -7*k**2 + 2*k. Let o(n) = -2*c(n) + 3*g(n). What is o(d(z))?\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**3 - 11*d - 73. Let p(o) = 5*o**3 + 6*o + 37. Give -4*a(t) - 7*p(t).\nAnswer: t**3 + 2*t + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h + 3. Let i(x) be the first derivative of 3*x**2 - 4*x - 1. Let y(q) = -3*i(q) - 4*j(q). Let v(w) = -19*w. Give y(v(p)).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9330449709.3972840733274 + 167817.6027163366726. Let h = 9330617479 - q. Let k = h + 48. What is k rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501 is divided by 1188?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*x**2 + 28\/5 + 2\/5*x**4 + 34\/5*x**3 + 86\/5*x.\nAnswer: 2*(x + 1)**3*(x + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-4 - (4\/8 - 7)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from gigi?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 6) in base 4?\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 + (-3)\/(-18). Suppose c = 2*j - j - 5. Suppose -2 + 1 = -3*z + j*x, x = 2*z - 3. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:51 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + -2485804314.1\nAnswer: -2485804314.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + -668684584.\nAnswer: -668684666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(13\/2)*c)**10)**27 assuming c is positive.\nAnswer: c**2025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 16. Let s(x) = 3*x - 15. Let w(k) = -4*i(k) + 5*s(k). Suppose 5*b - 3 = 7, -b - 28 = -5*g. What is the tens digit of w(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.492677 litres to millilitres.\nAnswer: 3492.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5. Let p(x) = 20*x + 50. Let s(c) = 7*c + 17. Let y(u) = 6*p(u) - 17*s(u). Let g(q) = -5*i(q) - 2*y(q). Determine g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 99, 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*u - 74, 0*a + u - 118 = 3*a. What are the prime factors of (-310)\/(-11) + a\/220?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1815*d**2*i**2 - d**2*i - 4*d**2 + 2*d + 121990*i**2 wrt d?\nAnswer: -3630*d*i**2 - 2*d*i - 8*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - 4*f**5 + 2*f**5 + (-3 + 2 + 0)*(-2*f + 2*f - f**5) + (2*f**5 - f**5 - 2*f**5)*(-1 - 1 - 4).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/10 and (620\/(-36) + 6)\/((-18)\/(-3))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455150 (base 6) in base 2?\nAnswer: 10100110110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5)*(-4*z + 4*z + 2*z)*(-29 + 54 + 122 + (-2 - 3 + 3)*(-5 + 4 + 2) - 3 + 3 + 1).\nAnswer: 1460*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4512, -0.2, 4, 0, -0.5 in decreasing order.\nAnswer: 4, 0, -0.2, -0.5, -4512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = -5*n + 3*l, 4 = -3*n + l. Let c(y) be the second derivative of y**3\/6 + 2*y**2 - y. Let d be c(n). Solve d*o = -o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 4*w**2 + 2*w - 2*w - 25*w**3.\nAnswer: -25*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1) + (1 - -1). Suppose n = -0*n + k. What is the biggest value in -5, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304926.\nAnswer: 2, 3, 50821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7 + 15.3. Let r = 16 - w. Is r equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(168)\/sqrt(6))\/sqrt(4)*1.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621898 is divided by 724?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 12*m - 72. What is the greatest common factor of 16 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -470, -467, -462, -455?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*l**2 + 130*l**2 - 1422*l + 4*l**5 + 103*l**2 wrt l.\nAnswer: 80*l**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -2*o - 5, -f + 10 = 3*o for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 837 divide 67294531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -49492, -2, -1, 63 in decreasing order.\nAnswer: 63, -1, -2, -49492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -592 - -1047. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 7*h - 8. Let k be (2\/3)\/(1\/6). Suppose -2*z - t = 9, k*z - 3*t + 4 = 1. Let o be b(z). Solve 3*u - 2 = o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -11. Let w = t + 5.6. Let s be (52\/(-845))\/(2 - (-8)\/(-5)). What is the third smallest value in 2, s, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) - (-136)\/3. Suppose 221 = 4*a - 5*g, 13*a - 9*a - 214 = -2*g. Suppose v - z = a. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-38)*j))**4*j\/(j**(-31\/3)*j)*(j**30*j*j*j)\/j)**(-36) assuming j is positive.\nAnswer: j**(-6996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5)\/n*n)\/(n*n**(-9)))**(-39)*((n**(-7\/5)\/n)\/((n*n**(2\/9)\/n*n*n)\/n))**(2\/7) assuming n is positive.\nAnswer: n**(-20704\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 19 - 1 = 0. Does g = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 0.02, 3\/49, 5 in decreasing order.\nAnswer: 5, 3\/49, 0.02, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 0, 1\/3, 0.4, -1.315?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 0, j - 4*w = 6 + 3. Let b(l) = 9 - 3*l - j + l. Let m(s) = -3*s. Determine m(b(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732130.\nAnswer: 2, 5, 17, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 4*r**3\/3 - 4. Let q(c) = 2*c. Calculate q(l(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.1597 - -1676.\nAnswer: 1670.8403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3174135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356273115?\nAnswer: 3, 5, 11, 2159231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(2 - 70)*-1. Suppose -33*k - 2*c = -38*k + 705, -4*k + 552 = -4*c. Suppose -k = -u + l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33218*a - 81581*a - 36021*a - 188223*a.\nAnswer: -339043*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from emmmmee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93461 plus -74.0671?\nAnswer: -73.13249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.083, 2\/5, 6\/37, 4\/5.\nAnswer: -0.083, 6\/37, 2\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3768 by -52.\nAnswer: -942\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, b: 1, f: 3, o: 1}. What is prob of picking 1 l and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*i = i + 34, 2*n - 14 = 2*i. Suppose 0 = 5*v - n + 31, -5*t + v - 16 = 0. Let b(y) = y + 9. What is b(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(3))**2 + -2)*6 - -5*sqrt(270)\/sqrt(10).\nAnswer: 15*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llklcrrrlrrlrklrk. What is prob of sequence lcl?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 30\/17, -9, -0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + 6*v)*(-1 + 3 + 0)*(-1 - 2 + 6)*(2 - 6 + 29).\nAnswer: 150*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(39)\/((-2*sqrt(6) + sqrt(6))\/sqrt(2)))*5.\nAnswer: -5*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/8)\/(-3) - 55430\/32776.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, -8, -13 in increasing order.\nAnswer: -111, -13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-42) - 198\/(-231) - 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {p: 1, a: 1, i: 9, x: 4}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l + 2. Calculate z(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442435 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167337777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/45 + (-1)\/(18\/(-58)). Solve t*d - 5*i = 6, i + 0 = -2*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**3 + 6*w**2 + 5*w + 8. Suppose -26*v + 24 = -32*v. What is the hundreds digit of k(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 + 2 + 0)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 1.4 (b) 0.21 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -7977356.\nAnswer: 2393206.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639432433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3589*o + 113. Is s(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, -4, 4 in descending order.\nAnswer: 19, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - sqrt(133)*-3)*-5)*1)\/((sqrt(77) + (sqrt(77) + sqrt(77) + -3*sqrt(77) - sqrt(77) - sqrt(77)))\/sqrt(11)*3).\nAnswer: -7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 2. Let t(w) = -21*w**2 - 2*w + 8*w - 11 - 6*w. Let z be (36\/(-54))\/((-1 - -3)\/12). Calculate z*t(f) - 22*l(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0687 and 0.083.\nAnswer: -0.0057021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 - b**3 - b**2 + 0*b**2 + 2)*(14 + 10 - 2) to g*b**2 + r*b**3 + m*b + j and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x**2 + x - 2. Suppose 8*q = 3*q + 20. Suppose i = q*i. Calculate a(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/90*3*1. Let k = -39 + 35. Which is the biggest value? (a) k (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**8)\/q)\/(q**(1\/12)*q))\/(q*q**(-1\/3))**(-45) assuming q is positive.\nAnswer: q**(443\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1704890705.\nAnswer: 5, 7, 79, 616597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*f - 14194 = 49*f + 11975. Is f greater than or equal to 0.042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14*v**3 + 4*v**2 + 21*v + 2. Give i(-3).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209425997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**2 + 9*n**2 - 6*n**5 + (4*n**3 - 2*n**3 - n**3)*(0 - n**2 + 0) + 5*n**5 - 7*n**5 - 6*n**5 + 2*n**5 - 3*n**5 + 2*n**5.\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:09 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-4)\/8). Suppose o*c + 3 = -2*l + 5, 4*c - 1 = -3*l. Let f = 10 + l. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let v = -37 + 41. Suppose -4*w = -0*w + v*j, 0 = 5*w + j - 20. Let k be n(w). Solve 3*s = 4*s + k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 + 5*p**2 - p**2)*(-p + 0 + 1 - 5*p) - 16*p**3 + 45*p**3 + 26*p**3 to the form h*p + f + r*p**3 + s*p**2 and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1626 divided by -1\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2128 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433*o = -426*o - 446474. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -23, -5, 21, 55?\n\"Answer: 4*z**2 - 2*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o**2. What is b(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/466822827 + 6180889818529\/1083028958640. Let j = z - -3\/2320. Find the common denominator of 39\/2 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 2*i + 50 = 0, 0 = 3*g - 3*i - 135. What is the remainder when ((-16)\/5)\/((-68)\/170) + 149 is divided by g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*j**2*n - 3*i**2*j*n**2 + i**2 - 3*j**2*n**2 + 4*j**2*n + 15*j*n + 2*n**2 wrt n.\nAnswer: -6*i**2*j - 6*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821 = 32*g - 885 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1402 by -4.\nAnswer: -701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 - 332*s**2 - 676*s - 340 = 0 for s.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.041 (b) 4\/7 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.017155.\nAnswer: -1.017155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7701400 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose 7*u - 3*u - 20 = 0. Let f be (-52)\/14 + (-6)\/21 + u. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coccojcjcccccocoooc. Give prob of picking 1 c, 1 j, and 1 o.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p. Let r(g) = g. Let v(s) = c(s) - 12*r(s). What is the least common multiple of (-19)\/(-2) + 4\/8 and v(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -2*sqrt(2299) + -1)**2 + 3 + (-1*sqrt(228) + sqrt(228))\/(sqrt(3)*2*-2).\nAnswer: 22*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12127 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -367222.\nAnswer: 46\/183611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2 at most as big as -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -52\/11 (b) -5 (c) -3\/5 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 26*x**2 - 7*x - 11. Let t be l(9). Let d(w) = -w**3 + 6*w**2 + 6*w + 1. Calculate d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 13*p + 6. Let c(b) = b**2 + 6*b - 3. Let v(g) = -7*c(g) - 3*d(g). Let i(z) = -2*z. Let w be i(-1). List the prime factors of v(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 32. Let n = -24 + o. What is the remainder when 169 is divided by ((-43)\/(-4))\/(n\/4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 151 (c) -0.3 (d) 753 (e) 3 (f) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-3 - ((5 - -1) + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1770, -14229, -48048, -113907, -222486, -384465, -610524, -911343?\n\"Answer: -1780*i**3 + i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 5, 3, 6, -2.\nAnswer: -2, 3, 5, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -5, 0.4, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-175)*1\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(63)*2*-5)\/sqrt(9).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4f (base 16) to base 7\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 125, -4\/5, 1 in increasing order.\nAnswer: -1, -4\/5, 1, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:16 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101100001101010100 (base 2) in base 5?\nAnswer: 221430013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 155 = 5*x, -2*r + 0*r + 148 = 4*x. Suppose -72 = -4*z - 0*z. Suppose 6 + z = 2*b. What is the remainder when x is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 11*o - 550 = 0. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89620 and 156835?\nAnswer: 627340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:15 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 12. Let f be o(4). Suppose -6*n + f = -46. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.74 + 1.84. Let v = 2.3 - 1. Let u = q - v. Are u and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((3 + -6)\/3). Suppose -2*n - 3*n - 5*p = -310, -3*n + 185 = b*p. Let x be 14\/(-49) + 4\/n. What is the closest to 2 in x, 1\/3, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let t = -36 + 39. Suppose -4*d + 9 = 3*x, 5*x + t = 5*d - 17. Which is the closest to r? (a) -4 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (44 + (53 - 85)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*n**2 + 52*n**6 - 13*n**2 + 98*n**6 wrt n?\nAnswer: 18000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -2*t - 110. Suppose 2*o + 5*v + t = 0, -3*o + 0*v - 4 = 2*v. Solve -5*f - 4*n + 24 = o, -4*f = -f - 2*n - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 47, 10 in descending order.\nAnswer: 47, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226208566 by 31673.\nAnswer: -7142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -11. Suppose f*t = -11 + 26. Suppose -4*x + 0 - 12 = 0, 5*g + x - 27 = 0. Calculate the greatest common factor of t and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16728.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 4*u + 11. Give b(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 78 = -15*z. Suppose -z*n - 13 = 3*s, -3*s + 2 = n + 10. What is the closest to s in 103, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111286278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10389 is divided by 200?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/150 and (-251)\/36 - -1 - 14\/56?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 7. Calculate p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {c: 4, t: 2, y: 2, g: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w - 3. Let j = -9 - -13. Suppose a = 5*v - 18, -j*v = -v - 9. What is the tens digit of f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 27. Let s(b) = -1 + 18 - 17 + 2*b. Calculate x(s(v)).\nAnswer: 2*v - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.3. Put -5\/3, s, -0.2 in decreasing order.\nAnswer: -0.2, s, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 150451153?\nAnswer: 150451140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -290*f**3 + 1964*f**3 + 2961*f**3 + 1717*f**3 + (4*f - 6*f + 0*f)*(0*f**2 - 3*f**2 + 2*f**2) to z*f + m + k*f**2 + r*f**3 and give r.\nAnswer: 6354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15367)\/484*(-21047 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 583 + 565 = 1235 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/120 + g**5\/15 + g**4\/4 + g**3\/6 - 2*g**2. Let s be b(5). Does 8 divide 4\/s - (-34)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*s - 38*s - 36*s = 1505 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -102675.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3474032 divided by -5?\nAnswer: -3474032\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 1. Let c(p) = 80*p + 4. Let v(y) = c(y) + t(y). Let f(h) = -2*h. Calculate f(v(i)).\nAnswer: -164*i - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 19*i**7\/840 - i**5\/120 - 4*i**4\/3 + 43*i**2. Let g(x) be the second derivative of b(x). Does 28 divide g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 2\/7 (c) 0 (d) -1\/42 (e) -8919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 820 = 2*y, -5*y + 0*y = -4*n - 2045. Calculate the highest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d - 10 = -60*d - 5*q, -3*d + 2*q = 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 9*w + 19. Let p be k(3). Solve 5*f = 9 + p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 16 - 31 + 14)*(-53*q + 16*q - 11*q) + q - 1 + 1.\nAnswer: 1777*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/10 + 53*u**2\/5 - 1287*u\/10 + 81.\nAnswer: (u - 9)*(u + 45)*(3*u - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/10*170\/(-204)*-3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1401373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 200?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78594430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1277\/(-3) - (-3)\/(-9). List the prime factors of (32\/(-48))\/(4\/j).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49583153.482847 - -49583334. Let j = 180.59 - k. Let p = j + -0.073. What is p rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w + 2. Let r(z) = -8*z + 3. Let p(t) = 4*b(t) - 3*r(t). Calculate p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/((s*s**(-2\/21))\/s*s))))\/s)\/(s**(2\/5)\/s))**48*(s**(-6)*s*s\/(s**(2\/13)\/s))**(2\/13) assuming s is positive.\nAnswer: s**(-89398\/5915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -320*o**2*z**4 + 2047*o**2*z**2 - 9*o**2*z - o*z - 3*o - z + 2498 wrt z?\nAnswer: -3840*o**2*z**2 + 4094*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-64)*-4 - (-14537)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2327, -4154, -5837, -7376, -8771, -10022?\n\"Answer: 72*x**2 - 2043*x - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.94 - -3.940616. What is z rounded to five dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a week in hours?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 319893 + -170082. Is q 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 9:25 AM and 12:05 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - 1.2345718?\nAnswer: -93.2345718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202*i - 5400.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from wnwwnswssnswsnswsnn.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -67. Let y = -23 + c. Let z = y + -12. Is 4 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1312672*s**4*x - 5*s*x - 56238437*x wrt s?\nAnswer: -5250688*s**3*x - 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*n**6 + 7*n**3 + 2*n**2 + 20*n wrt n.\nAnswer: -1800*n**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Suppose -2*w - 4 = 3*w + 3*p, 5*p + 15 = r. Let o = 3 - w. Solve -o*z = -z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 15*w**2 - 86*w - 32. Let c(f) = 3*f**3 - 43*f**2 - 258*f - 91. Give -6*c(d) + 17*l(d).\nAnswer: -d**3 + 3*d**2 + 86*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) -51\/4 (d) -0.03 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3040732118 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-3)*(272\/336)\/17. Let a be (2 - 4) + 4 + 2. What is the second biggest value in m, -0.5, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 345, -0.3, -0.1, -4, 2 in decreasing order.\nAnswer: 345, 2, -0.1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - z)*(24 + 17 - 1)*(5*z - 20*z + 6*z).\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1480*c + 24 - 81 + 31 - 4674*c + 24.\nAnswer: -3194*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 42929 = 17065. What is the least common multiple of q and 1616?\nAnswer: 17776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)*y)\/y**(-6)*(y**(-2\/3)\/y)**(-7\/9) assuming y is positive.\nAnswer: y**(89\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-18)*4\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*f - 9, 2 - 12 = 2*f. Suppose z = -4*a - 4*v - 10, -4*a + 2*v + 12 = 0. Suppose 18 = m - a. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605 = 72*s - 184 + 161 - 222 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4228 and 137\/23240.\nAnswer: 3509240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let w(q) = 2*q**3 - 5*q**2 + 3*q - 2. Let r be w(g). What is the greatest common factor of 40 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4410\/270)\/(14\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0*y = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -241905\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*t - 75 = 0, -f - 8*t + 3*t + 3 = 0. Let u = f + -88\/5. Are u and -127 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 473 = t. Let m = -221 - t. Let v = 125 + m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/4 (b) 319 (c) 0.08 (d) 177\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 412794 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -2 - (-97 - (-73 - 17) - (-1 - 2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 2. Let a be (-245)\/10*g\/1. Let j = a + 100. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**2 - 2*t**3 + t**3 + 51*t**2 - 24*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2123311233 - -33130?\nAnswer: -2123212103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 5*u + 4. Suppose 0*y = -5*x + y - 15, -2*x = 4*y + 28. Let d be r(x). Let t be 10\/36*(-9)\/(-30). Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 36*h - 65. Give l(-22).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 + 0 + 17 + -24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**6\/1440 + w**5\/480 - w**4\/48 - w**3\/3 + w. Let o(n) be the second derivative of z(n). Factor o(y).\nAnswer: (y - 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 greater than -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - -1) - (-14 + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1099260 and 41292.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 11) to base 13\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0 + 0*o**3 + 1\/40*o**6 + 0*o + o**2 + 0*o**5 + 1\/70*o**7 + 0*o**4. Find b such that m(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9089269 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*g - 5, -4*s = 4*g + 6 + 6. Let h be 9*(0 + g\/6). Suppose -h*a = 2*a - 630. Calculate the highest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2.1, 2\/9, 2\/5, -2\/3, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -l - 6547 + 6538, 2*l - 4 = -j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*i - 2*m, -222*i - 220*i - 8*m = -441*i + 21 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1431 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 45.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -5 (b) 21\/10 (c) 671 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 11 = -9*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010884656 rounded to 7 decimal places?\nAnswer: -0.0010885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44676 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: Does 162 divide 66639672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t + 65*t**3 + 71*t - 33*t.\nAnswer: 65*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 56. Suppose -3*k = 2*k - x. Suppose -4*q = -3*q + k. Let y(z) = -z**2 - 3*z + 4. Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91764 - 209612 = -36*h + 87784. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 5*m - 2. Let h be x(6). Let k(f) = -4*f - 12. Suppose -4 = 5*a - 5*z + 6, 3*z - 12 = 4*a. Let n be k(a). Solve 4 = -h*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7872 divided by -3?\nAnswer: -2624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45174 + -45149.087. What is f rounded to zero dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0.09, 1, -2\/13 in ascending order.\nAnswer: -2\/13, 0.05, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065.2697 rounded to the nearest integer?\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 18\/19 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3286451 (base 10) to base 9.\nAnswer: -6158142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25458555 and 13575?\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxt when three letters picked without replacement from {t: 1, x: 4, j: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s**2 - 2 + 22*s - 19*s + 3*s**2 - 2*s to the form w + i*s + r*s**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s - 1. Let d be u(-1). Let k be ((-2)\/(-3))\/(35\/d). Is k less than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -799 - -798.9688. Let o = i - -0.031296. What is o rounded to 6 dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1579 + -292. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4 - 1, -5*u = -3*g - 269. Suppose 2*c - u = -20. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(20\/(-30)))\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence curc when four letters picked without replacement from {s: 3, u: 1, c: 4, r: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7777 and 7777?\nAnswer: 7777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*j**2 + 17*j*z**3 + 2*z**3 + 713 wrt j.\nAnswer: 136*j + 17*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -297.\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -20*q + 12*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 5*l + 52. Let t = l + 22. Suppose t = 7*o - o. Calculate the remainder when 34 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177 and 590.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 1, o: 5, w: 1, p: 3}. What is prob of sequence ro?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 - -997\/7. Let f = 0.325 + -0.338. Let d = f - 2.087. Sort 2, d, r in descending order.\nAnswer: 2, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 57 = -42. Let r(x) be the second derivative of -1\/6*x**3 + 0*x**2 - 1\/15*x**6 - x + 0*x**y + 0 + 1\/6*x**4 + 1\/42*x**7. Factor r(u).\nAnswer: u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*s*s*s\/(s*s*s*s**(-1\/22)*s*s*s))*s**(-1\/6))\/(s**(-1\/20)*s)**(14\/9))**33 assuming s is positive.\nAnswer: s**(3277\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -0.037 (b) 2 (c) -0.15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1118, 2226, 3322, 4400, 5454?\nAnswer: 6478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + z - 2. Suppose -10 + 1 = -9*q. Let i be m(q). Suppose i*l - 2 = 8. Solve -13 = -g - 4*u, 3*u = g + l*u - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/1171 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.145024 micrograms to tonnes.\nAnswer: 0.000000000008145024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 54?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 2 + 37*a + 27*a - 19*a.\nAnswer: 51*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5013 + -2156032?\nAnswer: -2164045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16251.53 - -16328. Let j = -76 + k. Let a = j - 0.4642. What is a rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19814727?\nAnswer: 3, 1553, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12202012 (base 3) in base 6?\nAnswer: -31222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -24.2. Let h = 17 - 67\/4. Put i, h, -0.1 in ascending order.\nAnswer: i, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -26*w - 6. Let z be l(-1). Solve z = 2*j + 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Let c be (360\/21)\/u*70. Let q be (-3 + 1)\/((-6)\/c). What is the highest common factor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -554*v + 167*v + 4*v**2 + 169*v + 167*v to z + j*v**2 + r*v and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 9 = y. Suppose n - 20 = 5*o, -o - y*o - 9 = 0. Let t(g) = -g**2 - 3*g + 1. Let h be t(-3). Solve -3*k = -15, -4*k + 6 = -n*j + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from qqqggqqqqgqgggqg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2317, 2327, 2341, 2359, 2381, 2407?\n\"Answer: 2*r**2 + 4*r + 2311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-204)*2)\/((-4)\/208*-78).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:17 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**4 - 93*s**3 - 3717*s**2 + 11757*s - 7950 = 0.\nAnswer: -25, 1, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29013150?\nAnswer: 2, 3, 5, 127, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(-3 + 4 + 1 + 0 + 1 - 2 + (-1 - 3 + 2)*(-4 + 2 + 1) - 3 + 1 + 3 - 6 + 3 + 2)*(-219*y - 20*y + 53*y) as h + l*y and give l.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*v + 84*v - 1380. What is the highest common divisor of 92 and v?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 681987031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4702, -9406, -14110, -18814, -23518?\nAnswer: -28222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 232029323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -188*w**3 + 3*w**2 + 5*w. Let r(d) = -d**3 - d**2 - d. Calculate -5*r(q) - x(q).\nAnswer: 193*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u - 4. Let h(k) = 7*k + 4. Let m(w) = 2*h(w) + 3*i(w). Give m(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 49\/6 (c) 7\/3 (d) 0.4 (e) 5 (f) -0.6 (g) 6\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3525 - 34?\nAnswer: -4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-682320)\/(-110) - -6 - 4\/(-44)?\nAnswer: 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*a - 280, 5*t + 2*a = -a + 285. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 73*g - 81. What is n(66)?\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 1\/3 (c) 158\/181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/45 and -23\/95.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 918833107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475848.\nAnswer: 2, 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -248 in 8\/3, -0.5, -5, -3793?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -l. Let u = l + -8. Let a be (3\/60*(-24)\/(-3))\/(-1). Sort 0.1, a, u in descending order.\nAnswer: 0.1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5. Let i be o(-3). Let b = 8 - i. Suppose b = 5*a - 2*a. What is the common denominator of a and -41\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*d = -63*d - 2*p - 208947, 2*d = -2*p + 417936. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/100 + 2131*w**4\/20 - 7*w**2 - 2*w + 15. Factor j(r).\nAnswer: -3*r*(r - 4262)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phnpcnqvhhqc. What is prob of sequence cqq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0804 and 597?\nAnswer: -47.9988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 21 = -31. Suppose 4*m = -8 - 16. What is the biggest value in m, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -145549181?\nAnswer: -145549181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, -4, 2, 0, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 287031 + -574061\/2. Suppose -r + 0*s + 1\/8*s**2 = 0. Calculate s.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604692557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*o**5*p**2 + 362*o**3*p**3 - 8732*o**2*p**3 + o**2*p + 2*o**2 wrt o?\nAnswer: -2040*o**2*p**2 + 2172*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, o: 2, r: 1, d: 1, c: 2, g: 1}. What is prob of sequence ccgd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 12 + (6 - (1 - 27))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k**4 + 43*k**3 - 13*k**4 - 8*k**4 + 32*k**4 - 2*k**2 to p*k**4 + y*k + x*k**2 + d + u*k**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -64, 31, 288, 761?\n\"Answer: 9*f**3 - 76*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18. Suppose v + 3 - 13 = 3*m, -2*v + 4*m + 16 = y. Let r = 9 + -4. Calculate the remainder when r is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:49 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s + 3*h - 6 = 0, 0 = -3*s + 4*h + 17. Suppose -2*k - 208 = -s*k. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -14 - 39 - (1 - 27) - 5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 7 = 49. Let a be y\/(33\/(-46)) - (-8)\/(-44). Suppose 2*d - 5*l + 6 = -a*l, -4 = l. Which is greater: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 18*v**2 - v + 1. Let l be o(1). Calculate the highest common factor of l and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142\/13 + -11. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 + 16*o**4 + 20*o**3 + 8*o**2.\nAnswer: 4*o**2*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27056 (base 9) to base 6.\nAnswer: -220340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 416.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -452 + 134 - 3*w + 3*w + 2*w - 69 to a*w + v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6950, 13898, 20846, 27794, 34742?\n\"Answer: 6948*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56.1 + -55.8. What is the fifth smallest value in -306, f, -1, -3, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:54 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 32060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16365061 (base 7) to base 14\nAnswer: 2d78d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 302157883\/3 or 100719295?\nAnswer: 100719295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 9*x - 5. Let t = 24 + -23. Suppose b + 3*z + 0 = t, 0 = -z. Let w be 9*(b\/9)\/((-4)\/(-24)). Calculate i(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21273 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20923 + -20892. Solve 61*b = s*b - 210 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - (8 - 11)) + -11. Factor 0*m**3 + 2\/9*m**5 - 2\/9*m + 0 + 4\/9*m**4 - 4\/9*m**d.\nAnswer: 2*m*(m - 1)*(m + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**11))\/(m**(-5\/3)\/m))**(-4\/3)\/(((m\/m**(-3\/5))\/(m*m**(-1)*m))\/(m**(-2\/9))**(1\/80)) assuming m is positive.\nAnswer: m**(1261\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (34 + -48 + 73).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-24)\/(-140))*1596\/(-1862)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/17*(-5)\/(-20). Let v = -569.2 - -540.2. What is the biggest value in y, 1, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1003\/9304 - -20\/1163. Suppose -1\/8*p**2 - f*p**4 + 1\/4 - 3\/8*p**3 + 3\/8*p = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 25*q**2 - 62*q + 1010. Determine d(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -714 + 715. Let x(s) = 4*s**2 - s + 2*s**2 + 5*s**2. Let i be x(b). Solve -4*q = -5*c - 26, -2*c + 3*c = -3*q + i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 336 = -2*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-241846)\/(-36) - (-8)\/36. Let p = 6736 - k. Find the common denominator of p and -75\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 < 5\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 624 = -f. What is the units digit of 1 - f\/(-1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241630588 divided by -7106782.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**2 + 62*g + 13. Let f be q(9). Suppose -f*a + 5*o + 116 = 0, 2*a - 6*o - 46 = 12. What is the remainder when 521 is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*h**2*i + 2291*h**2 + 85*h*i - 154*h - 16*i + 2 wrt i.\nAnswer: -56*h**2 + 85*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5623667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-348 - 358 + 704 - 8*x)*(-1 - 6 - 1)*(3 - 1 + 0) as v*x + h and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 112\/80 - -2*6\/20. Solve 0 = -2*f + 2*w - 6, 5*f + 3 = -p*w + 3*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 4, -5, 5 in descending order.\nAnswer: 5, 4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/7 - 96*p\/7 - 204\/7 = 0. Calculate p.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2 - (-2 + 2))\/(4209\/(-732)). Which is the fourth smallest value? (a) -17 (b) -1\/4 (c) n (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 29) + (3 - 2) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/3, -1\/2, 2, 1\/4, -9411?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**2 + 30*d - 568. Does 104 divide k(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13499, -13536, -13585, -13652, -13743, -13864, -14021, -14220?\nAnswer: -14467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a factor of 14783603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 0.16. What is the second smallest value in -6\/5, p, -5, -2\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/2 of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501 a factor of 42229062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18208 = 5*c + 21*c - 19726. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*i**2 + 2*f + 2*i**2 - 68*i + 24 with respect to i.\nAnswer: -4*f*i + 4*i - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107097 is divided by 64?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1968.\nAnswer: -196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416301609 to the nearest integer?\nAnswer: 20403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 12041823400 to the nearest 1000000.\nAnswer: 12042000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -29 + 5*c - 7*c**2 + 7*c**2 + c + c + c**2. Calculate h(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -18*d**2 + 680*d - 680*d as l*d + u + b*d**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 7*p**2 + 1. Let s(r) = 14*r + 1. Let o(m) = 184*m + 13. Let q(z) = -o(z) + 13*s(z). Calculate h(q(v)).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13\/26 + (-17)\/2 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3061 (base 15) to base 8.\nAnswer: 23750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 17. Suppose 0 = -4*m + 2*z + 4, 0*m = m - 3*z + 9. Let c(k) = -m + 3 + 5 - 4. Let n(u) = b(u) - 4*c(u). What is the derivative of n(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 48 = -o + 40, -2*d + 7 = -0*o + o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*t**4 + 156?\nAnswer: -272*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 15. Let t be (-1)\/(i\/48*-2). Find the third derivative of 5*m**6 - 18*m**6 - 11*m**2 + t*m**6 + 3*m**6 wrt m.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*u = -271*u - 12446 - 4834. Is u a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123125 + -23040?\nAnswer: -150205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 10:59 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/128*(-1156)\/(-85). Let p = -3\/16 - z. Sort 13, -2\/9, p.\nAnswer: p, -2\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-4) + 3 - (-3339)\/6686. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14204 (base 5) to base 12\nAnswer: -823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 6. Let s = -29 - -51. Suppose 4*v + 5*b - s = 1, 3*v + 4*b - 18 = 0. What are the prime factors of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 3:29 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3378\/23, 4, 65 in decreasing order.\nAnswer: 65, 4, 3, -3378\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005135 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*v + v. Let s(a) be the first derivative of v - a**2 - 1\/6*a**3 - 2*a. Factor s(y).\nAnswer: -(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t**3 - 2*t**2 - 10*t + 61. What is the thousands digit of a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m**2 - 11*m + 6. Suppose 0 = 3*g - 2*w - 21, -2*g + 3*w + 29 = 2*g. Does 11 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11982? (a) 0.3 (b) 0.1 (c) -1\/5 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*g - 11, -2 = -j + 4*g + g. Let c = j + -1. Sort 0, 5, c in increasing order.\nAnswer: c, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 16*p - 3. Is v(-7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**21\/d)\/d*d)*d\/(d\/(d*d**(-1\/15)))*(d*(d*d**12)\/d)\/(d\/d**(1\/39)*d))**16 assuming d is positive.\nAnswer: d**(-25088\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 117*v - 170*v)*(-1 + 1 - v).\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20525786+30\nAnswer: -20525756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 785\/17 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, z: 7, a: 5, e: 2}. Give prob of picking 3 a.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 16 = -2*r. Calculate the smallest common multiple of 14 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.70915 rounded to 3 dps?\nAnswer: -0.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580 divided by -5?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 322*g - 312*g. Suppose -6*o + g = 38. Sort 17, 2, -2, o.\nAnswer: o, -2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 143?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {a: 1, u: 12, e: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w + 66220*w**2 + 4*w**3 - 3*w**4 + w**4 - 66218*w**2 as z + h*w + k*w**3 + s*w**4 + m*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - o - 2. Let w be c(3). Suppose -y - 8 = -3*y. Suppose -5*d + w = -b, 4*d = -y*b + 25 + 7. What is the greatest common factor of 64 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2674 - 159. Let n = -2520.0044 + i. Let x = n + 5. What is x rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53146 - 35714059\/672. Calculate the common denominator of m and -95\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - f + 34 = 30, 5*a = -3*f + 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3162994 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - y)*(14*y**4 - 9*y + 9*y).\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*n + 26, 2*l + 3*n = 2*n. Let x(q) = 7 - 8 - 5 - 2*q**l. Let u(z) = 2*z - 6. Let f(v) = 4*v - 13. Let m(j) = -6*f(j) + 13*u(j). What is x(m(y))?\nAnswer: -8*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d*g*h*w - 36620*d*g - 752*d*h*w + 2*g*h wrt w.\nAnswer: -14*d*g*h - 752*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20211010 + -122?\nAnswer: -20211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/5 + (-54)\/(-15). Suppose 4*j + 10 = -2*g - 4, -3*g - b*j = 6. Solve -g*c = -c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:35 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 460336*c**5*i + 4*c**2*i - 2*c**2 - 3*c*i - 318*c - 4*i wrt c?\nAnswer: 27620160*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2008, -4025, -6070, -8155, -10292, -12493?\nAnswer: -14770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 - 6*t. Let f(v) = -14*v**2 - 20*v**2 - 11*v + 40*v**2. Give 6*f(p) - 11*m(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12395117 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:46 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2620 and 3668.\nAnswer: 18340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -12, 11, -1108, 3.\nAnswer: -1108, -12, -3, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/687875 and 6\/71539.\nAnswer: 8942375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6607, -13373, -20283, -27343, -34559, -41937, -49483, -57203?\n\"Answer: -h**3 - 66*h**2 - 6561*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/6 - 7*v**4\/12 - 10*v**3\/3 - 14*v**2 - v. Let m be d(-3). What is the highest common divisor of m and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4 = -5*o, 6*v - 8 = -5*o + 2*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289*c**3*p**3 + c**3 - 1026*c**2*p**2 - 5*c*p**4 + 2*c*p - 3*p**3 wrt p.\nAnswer: 1734*c**3 - 120*c*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 258, 256, 252, 246, 238, 228, 216?\n\"Answer: -y**2 + y + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 634 + -624.31. Let j = a + -6.56. Round j to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3)*(6*c + 2*c - 2*c)*(-40*c**2 - 1365 + 1365) to the form z*c + u*c**2 + a + j*c**3 and give j.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -134, -118, -88, -44?\n\"Answer: 7*l**2 - 5*l - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5196 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/17 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4759\/411 - -12\/137. Find the common denominator of 8\/16*272\/728 and d.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942*f + 219*f - 10632 = 1049*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 6 - 38\/(-1). Suppose -142 = -4*v + 162. Let i = v - s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 - 0.5. Let g = 4 - l. What is the closest to g in -1, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 10, u: 3, v: 1, p: 3, y: 1}. Give prob of sequence kpv.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 110 = 3*j, 3*j = -3*o + 6*j - 342. Let d = o + 131. Let w(h) = h**2 + h - 3. Calculate the remainder when w(5) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1491089033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 271*z**2 - 236*z**2 + 735*z**2 to g*z + v + p*z**2 and give p.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**3\/3 + 9*g**2\/2 - 5*g - 2. Let c be b(8). Let y be 4*(5 + -6)*(0 - 2). Solve x = -l - 4, 2 + y = -l - c*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5 + 5400*q**4\/7 + 30376*q**3\/7 - 9120*q**2\/7 = 0.\nAnswer: -380, -6, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114.1 - 127. Let i = 13 + o. What is the third biggest value in i, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-858)\/(-297)*18\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54942422 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 64 - 40 + 36337*x**3 - 4*x - 36336*x**3 + 19*x**2. Give k(-19).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*g**2*o**2*x + 2*g**2*o**2 + 5*g**2*o*x**2 - 7*o**2*x**2 + 11*o**2*x wrt x?\nAnswer: 10*g**2*o - 14*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 22*v = -37*v + 195 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395932?\nAnswer: 2, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 34 + 32 = -3*k, 0 = w - 5*k - 8. Let a(r) = -208 + 4 + 102559*r - 102502*r. Let d be a(5). Calculate the highest common factor of w and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197161 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1 = 3*g, 5*g = -9*n + 12*n - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 + 2*t + 2. Let w(p) = -9*p**3 - 17*p**2 + 17*p + 17. Let n = 105 + -54. What is n*l(k) - 6*w(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 172056, 344039, 516022, 688005, 859988?\n\"Answer: 171983*u + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**7\/210 + 7*n**4\/24 - n**3\/3 + 4. Let o(b) be the third derivative of u(b). What is the first derivative of o(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16733597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 + 21.97. Let x = -0.13 - f. Let g = x - -19.0092. Round g to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 10. Put w, 1, 5 in ascending order.\nAnswer: 1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*12\/1)\/((-147)\/(-14))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2050 and 53\/533?\nAnswer: 26650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - -166?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -164\/111951?\nAnswer: -164\/111951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5070 - 5*n - 4660 + 3*n + n**2 + 6*n**2 to u + b*n**2 + q*n and give u.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33942, 33932, 33914, 33888, 33854, 33812?\nAnswer: 33762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 665, 1743, 3139, 4853, 6885?\n\"Answer: 159*w**2 + 601*w - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Let x(y) = -99*y - 118*y + 344*y. Calculate f(x(d)).\nAnswer: -32258*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 94, -34, 96, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-42) + 10\/(-35). Let r = 235\/6 + -39. Let s be (424\/2703)\/((-4)\/(-6)). What is the second smallest value in 5, r, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1)\/(2\/(-404)). Let u = 125 - a. Is 15 a factor of (-2)\/4 + u\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t + 5. Let p(l) = 64*l + 26. Suppose 0 = -278*k + 1253 + 3195. What is k*r(h) - 3*p(h)?\nAnswer: 16*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/11? (a) -0.337 (b) 5 (c) -4 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 181581 = -181533 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-3116)\/(-3192) + ((-1)\/3 - (-22)\/84).\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629408307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 10*m - 2910. Let n = -194 + m. Solve n = s - 4*p + 5, -4*p = -2*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s. Suppose -49 + 17 = -w - 2*q, -14 = -w + 4*q. Suppose -3*v = 5 - w. Let r(h) = 9*h**2 + h - v*h**2 - h. What is c(r(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = 12. Let a(r) = -2 - 8*r + r**3 + 5*r**2 - 9*r**2 + 4*r**2 - 5*r**2. What is a(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 7*q**2 + 7*q - 5. Let n(b) = 4*b**3 + 8*b**2 - 8*b + 6. Let u(y) = -6*n(y) - 7*x(y). Let g be u(-1). Solve i + 1 = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 130984 - 130965 = 2*c, 2*n - 3*c + 29 = 7*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -85, -3 in descending order.\nAnswer: 0, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*c = 355*c - 1854*c - 2128 - 38717 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 - 2*o + 19. Let g(l) = -l**2 - l - 1. Let m(n) = 2*g(n) - j(n). Suppose -6*u + 9*u + 2*v = 2, -u + 5*v = 5. What is m(u)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -6*y + 344. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.97 - -3. Let m be 3*(0\/1 - 28\/(-12)). Suppose 2*v = -j + 4, 3 = j + m. Put -3, v, l, 0.4 in decreasing order.\nAnswer: v, 0.4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 422*r + 201. Calculate v(-86).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -5*2*sqrt(104))\/((sqrt(1152) - sqrt(1152)*-1) + sqrt(1152) - sqrt(8)))**2.\nAnswer: 1573\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4215121 is divided by 843022?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*5\/(18 + -3). Let l be 0\/f + (-184149)\/49. Let h = 3766 + l. Find the common denominator of -20\/3 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 402?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/15 and -68\/8223.\nAnswer: 41115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 1502*k**3 - 1585*k**3 - 61 + 29.\nAnswer: -83*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 w when three letters picked without replacement from {k: 2, a: 1, p: 3, f: 3, w: 10}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -156, -625, -1412, -2517?\n\"Answer: -159*t**2 + 8*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 91, 134, 177, 220?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 - 2*k - 1. Let o be h(-2). Calculate the greatest common divisor of o and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427 - -441. What is the common denominator of (-770)\/(-660)*4\/x*38 and 32\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-34)\/r*((r**(-36)\/r)\/r)\/r)\/(r**(6\/5))**(-41) assuming r is positive.\nAnswer: r**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) -2\/5 (c) 10 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-166)\/((-177288)\/(-1335)))\/(18\/(-8)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppd when four letters picked without replacement from {p: 4, w: 5, d: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 1344 = -34*i. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 42 = -2*w. Let u be (-92)\/9 - w\/63. List the prime factors of (-386)\/u - 6\/10.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73196006173\/7670 - 9543156. Let r = a - -2\/295. Let d = -154.6 + 154.8. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1719, 8057, 18977, 34473, 54539, 79169?\n\"Answer: -f**3 + 2297*f**2 - 546*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -4*h**3\/3 + h**2 + 27867. Let p(r) = -r + 2. Suppose 0 = -3*a - a. Let k be p(a). Calculate m(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/11364396 and -31\/24?\nAnswer: 22728792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13908*h**4 - 7182*h + 3 wrt h.\nAnswer: 166896*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = 34*j - 18*j - 476 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 785\/119 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*x)*(0 - 2*x + 0) + (0*x + x - 3*x)*(-13*x + 91 - 91) to o*x + i*x**2 + s and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194.28 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 18*n**2 - 11*n - 4*n + 13*n**2.\nAnswer: -5*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o + 53*o - 714 = 39*f, -f = 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 99 = -2*d, 4*d - 120 = -3*f - d. Calculate the remainder when 173 is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/67 + -161\/670. Let w = -4019\/20 + 201. Let k = w + g. Which is the third biggest value? (a) -0.4 (b) k (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/155*230*(-5)\/((-60)\/(-4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/(-294) + (-2)\/(-4). Which is the closest to 39? (a) -4 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12924 is divided by 52?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 68*a**2\/3 + 82*a + 60.\nAnswer: 2*(a + 1)*(a + 3)*(a + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*p + 252, 3*s = -s + 8. Let c = p - -50. Let z = c + 18. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344154522.\nAnswer: 2, 672077261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 121, 235, 335, 415, 469?\n\"Answer: -o**3 - o**2 + 124*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o - 3*o - o - 3*o + 7*o - 3*o + (0 + 3 - 1)*(5*o - 2*o - 2*o) + (0 + 2*o + 0)*(4 - 2 + 4) + (3*o - 7*o + 2*o)*(4 - 2 - 3).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)**(-44))**50 assuming u is positive.\nAnswer: u**(-2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-45))\/((4\/20)\/((-5)\/5)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13242.\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let w be u(-14). What is the remainder when 5 is divided by (-16)\/w*(-14)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 577\/18 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219092497 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*p**3 - n**2*p + 196*n**2 - 13*p**3 wrt p?\nAnswer: 3*n**2*p**2 - n**2 - 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 37 + 11 = f, -3*f = 6. Let g be ((-10)\/(-6) - (-6 - q)) + -2. Let s = 0.5 - 0. What is the third biggest value in -1, s, -2, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222*s**2 - 20400*s + 7996423 wrt s?\nAnswer: 444*s - 20400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -89. Let s(h) = h**2 + 9. Let u be ((-1)\/1)\/(-1) + -1. Let d be s(u). Calculate the greatest common factor of d and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*i - 4*f = 18 + 68, -2*f = 2*i + 82 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**16*l**17\/l*l*l**16)**(6\/13) assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151665, 608914, 1370995, 2437908, 3809653?\nAnswer: 5486230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let u(z) = -z + 6. Determine -3*q(r) + u(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i**6 - 29\/30*i**5 + 0*i**4 - 2*i - 11\/210*i**7 - 11*i**2 + 0*i**3 + 0. Find the third derivative of d(q) wrt q.\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -5, -156.41, 1\/3, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 6*x**4 + (0*x - 4*x**2 + 0*x)*(-2 - 1 + 2)*(-3*x**2 + 0*x**2 + 2*x**2).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101001001 (base 2) to base 11.\nAnswer: -4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 q when four letters picked without replacement from {m: 5, t: 2, q: 1, z: 5, n: 6}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 965 and 68095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -20 (b) 3 (c) 121 (d) 33 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + l + 1. Let v = -108 - -106. Determine n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.74*88.\nAnswer: -65.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*-46.8.\nAnswer: 2480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 8320?\nAnswer: -1\/2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 110026420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 - 127 = 5*b. Let z(h) = -h**2 + h - 21. Let q be z(0). Let j = q + b. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (110\/8 - 3\/(-12)). Let b = u - 17. Calculate the remainder when 28 is divided by (15\/(-4) + b)\/(45\/(-120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 13 = 2*v, 7*v = 97*u - 92*u + 53 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arpzo. Give prob of sequence pzro.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let b(a) be the first derivative of -3966*a**2 - 5977. What is b(o(w))?\nAnswer: -15864*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1076 - -3635. List the prime factors of o.\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = -3*i, 4*p + 33 = -3. Let w = -6 - -14. Let r be (-6)\/(-4) + (-2)\/w. What is the second smallest value in r, 0.2, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 + 7.1\nAnswer: 7.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 9*p - 12. Suppose k = p*k. Solve 5*i - 12 - 8 = k, 5*o = 3*i + 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -62, -59, -28, 37, 142, 293?\n\"Answer: u**3 + 5*u**2 - 41*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -14. Suppose 35*u + 119 = -231. Put 3, r, 1, u in descending order.\nAnswer: 3, r, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 + 26 + 33 - 68 + 8*s + 0*s**2 + 15. Determine a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*v**2 - 24*v**2 + 19*v**2 in the form r*v**2 + n + j*v and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3276 by -2.\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2989, -3144, -3299, -3454, -3609, -3764?\nAnswer: -3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -20*p - 1. Is k(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 2*r. Let t(l) = -r*l**2 + 5*l**2 + 3 - l**3 + 4*l + 0*l**2 + 0*l**2. List the prime factors of t(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 602 + -645.9. Let w = x + 44. Which is bigger: 2\/5 or w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a factor of 742356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 12 + -1 + 15 + 17 - 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - b + 47, -36 = -1097*x + 1094*x - b. Let w(q) = -3*q**2 - 5. Let u(p) = -5*p**2 - 10. Give x*w(m) - 6*u(m).\nAnswer: -3*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-24)*10*-1. Suppose 332 = -b + j*b. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(2058)*1)\/(sqrt(864)*2*6 + sqrt(864)) + 5)**2.\nAnswer: 35*sqrt(7)\/13 + 17243\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003982545963 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/527552 and -69\/80?\nAnswer: 2637760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, 0, 11, 36, 81, 152, 255, 396?\n\"Answer: j**3 - 2*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281*v + 3*v**2 + 1431*v + 1733*v**3 - 12*v**4 - 42*v - 1723*v**3 wrt v?\nAnswer: -144*v**2 + 60*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -282*r**2 - 2. Let y(c) = 2*c**2. Determine y(q(v)).\nAnswer: 159048*v**4 + 2256*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 12*m + 10. Let r be (-4)\/(-4) + (7 - 3 - -7). Determine h(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 10. Let q be w(-8). Let i be (-10)\/q - 6\/3. Solve s = -2*s + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/((-2)\/(-2))*7*4366\/(-2072).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 5\/7, -1, -1\/23, 45 in descending order.\nAnswer: 45, 3, 2, 5\/7, -1\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 + 7*w**3\/3 - 7*w**2\/2 + 7*w - 5. Let f be a(-8). List the prime factors of (1 - 2)*(-28 - f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6826, -13900, -20974, -28048?\n\"Answer: -7074*u + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x - 1 + 5\/2*x**2. Let i(b) be the third derivative of -4*b**5\/15 - 45068*b**2. What is l(i(d))?\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-12)\/(-8)*(-10)\/45). Let f be 3\/(-72)*6 + m\/4. Let v(a) = -6*a. Let w(p) = -p. Give f*w(s) - v(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 17*b + 3*i = 30, 4*i + 60 = 16*i - 0*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.255 + -192.255. Let v = l - -192.269. Let i = -4.211 - v. Round i to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.9729893 nanoseconds to days.\nAnswer: 0.00000000000009227996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.4? (a) -1 (b) -37 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/196 and 41\/19999730.\nAnswer: 1959973540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r - 5 + 2)*(-2 + 4 + 2).\nAnswer: 8*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0525614939 rounded to three dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4879 is divided by 660?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 322*m**5\/5 + 21*m**2\/2 + 3*m - 62. Find the second derivative of g(v) wrt v.\nAnswer: 3864*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + 9 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1986*u**2 + 1961*u**2 + 1961*u**2 - 5961*u**2.\nAnswer: -53*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3338?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 51318360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 times 51367?\nAnswer: 462.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s**2 + 10*s + 15. Let x be v(-6). What is the greatest common factor of x and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11484 and 52668.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -122251.727 to the nearest one hundred.\nAnswer: -122300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 4. Let d(y) = -y + 1. Let n be d(3). Let g = 4 - n. List the prime factors of z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*w**3 + 16480699 - 16480699.\nAnswer: -176*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19926 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 168*m - 57. What are the prime factors of r(2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 126366*o**2 - 4171167*o = 0. Calculate o.\nAnswer: -126399, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 38. Calculate the remainder when 122 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1984907 is divided by 151?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -229*t + 103. Let b be x(4). Which is greater: b or -811?\nAnswer: -811","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5165387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 5*g**2 + 4*g - 6. Let w be m(-5). Let n be -32 + 23 + 187\/(-11). Is n > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 - 36. Suppose -3*r - 53 = z, 3*z + 2*z = 4*r + 58. Let f = r - -25. What is the highest common divisor of s and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1890)\/(-21)*22\/(-198).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 32*x + 4456. Let r = 1175 + x. Suppose -k + 31 = 3*l, -2*k + 0*l + 12 = -4*l. What is the remainder when r is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*n**4 + 3217*n**2 - 1612*n**2 - 1363 - 6*n - 1605*n**2 wrt n.\nAnswer: 64*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(8)\/(sqrt(4)*-2) - -2*sqrt(18))**2.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(4\/3))\/(d*d**(-4)\/d))\/(d**(-2)*d*d*d*d**(2\/13)*d*d) assuming d is positive.\nAnswer: d**(59\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3229, -2, 3, 4, -215 in increasing order.\nAnswer: -3229, -215, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 27, 68, 145, 270?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, and 1 s when three letters picked without replacement from {w: 2, q: 4, s: 1, a: 1, t: 2, p: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 41.1. Let n = -0.90516 - b. What is n rounded to four dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -173, -8\/7, 5.61, 3, -2\/13?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3618676 by -1724.\nAnswer: -2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 589418.8 weeks?\nAnswer: 4125931.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3480 divided by -6\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 - 30 - 6*q**2 + 22 + 2*q**3 + 5*q. Let t be l(-7). Suppose -t*y = -y - 70. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4 - 68*i**3 - 360*i**2 - 432*i + 864 = 0. What is i?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 - 51 - 56 - 53 - 357*o.\nAnswer: -357*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*208\/(-78)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 1 + -4 + 3. Suppose -2*b + 3 + x = 4*g, 4*g = -4*b. Solve 2*m + 21 - 6 = g*l, m + 5*l - 25 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90790 + 9352 - 619622 = 9676*m + 186868 for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 l, and 1 v when four letters picked without replacement from {m: 2, j: 1, l: 1, v: 4, o: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/7 at least as big as 6\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4214 + -4218. Sort 3, -115, 4, r in ascending order.\nAnswer: -115, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 22570.\nAnswer: 14\/11285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + s + 837 = 0, 5*h + 0*s + 4*s + 1388 = 0. Calculate the least common multiple of (h\/(-30))\/(2\/3) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, -0.4, -1\/2, 52, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbybby. Give prob of picking 2 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 - 0.29. Which is the second biggest value? (a) -0.4 (b) f (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371310131.\nAnswer: 3, 89, 137, 37489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 16*s**2 - 14*s - 49. Suppose 2*c - 32 - 2 = 0. Let d be m(c). Solve 1 - d = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20336 (base 9) to base 11\nAnswer: -a080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8580, 33847, 75936, 134829, 210508?\n\"Answer: -3*d**3 + 8429*d**2 + d + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -5*v. Suppose -1 = l - v. Let b = 7 - 2. Solve -l*h - b = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*i - 10. Let c(j) = -5*j - 5. Is c(i) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 50*y + 154. Let z be v(-3). Let t(m) = 184*m + 8. What is the units digit of t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3607 to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.53339 and -527.483.\nAnswer: -520.94961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*l = 125*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 264*l**3 + 12*l**4 - 2 - 10*l**4 - 267*l**3 - 3*l**2 to t*l**2 + x*l**3 + o*l + d + a*l**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486459.\nAnswer: 3, 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3 + c2?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 576920981 to the power of 1\/2, to the nearest integer?\nAnswer: 24019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -1. Suppose -35 = -17*m + 10*m. Suppose -y - 3 = -m*a. Solve 0 = -4*i - 5*r - 20, -a*r - 12 = 3*i - 0*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5727*a**2 + 3932*a**3 + 3928*a**3 - 7860*a**3 + 2650*a**4 wrt a?\nAnswer: 63600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c38 (base 14) in base 2?\nAnswer: 1010000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 6*u + 2*v = 4, 2*v - 4 = 5*u. Suppose p = 2 + 2. Suppose -p*m - 5 - 7 = 0. Sort u, m, -5 in descending order.\nAnswer: u, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7217 is divided by 187.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:26 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1432, 5, 3, -130 in descending order.\nAnswer: 1432, 5, 3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -871998126 - 30.\nAnswer: -871998156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 3*d + 187*d**2 + 4*d - 180*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/6)\/(41\/(-2)). Let z = 5\/4044 + 91049\/497412. Let l = p - z. What is the second smallest value in -3, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 a when three letters picked without replacement from ujuujujau.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 279, 1056, 2351, 4164?\n\"Answer: 259*m**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 3*m**4\/4 + m**3 - m**2\/2 + m - 2. Is l(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 = 4*q, -4*o = -9*o + 3*q + 12. Let p(c) be the second derivative of -8\/21*c**o + 3*c + 0 + 4\/7*c**2 - 5\/42*c**4. Factor p(s).\nAnswer: -2*(s + 2)*(5*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2052 (base 11) to base 7\nAnswer: 10633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 3*w**2 + 3*w - 2. Let b = -12 + 14. Let u be f(b). Let p(y) = 11*y - 16. Let a(x) = 3*x - 5. Let o(s) = -7*a(s) + 2*p(s). What is o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(468)))**2 + -1.\nAnswer: 12*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92725?\nAnswer: 5, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151.5 - -152. Let i = -4.3 + 0.3. Which is the biggest value? (a) l (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6085157 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00193235 rounded to five dps?\nAnswer: -0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 14*j**2 + 82*j + 1423. What is w(-15)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 89. Is 8 a factor of m(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/189 - 8\/(-3). Let s = 1 + -1. Solve x*o - 5 = 2*i - s, o = i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9811 + -9588. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*u**5 - u**4 - 660*u**3 - 2*u**2 + 142*u + 4?\nAnswer: -540*u**2 - 24*u - 3960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 0)*285913\/(-46) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 37 = m. Let f = -149\/4 + m. Let z = 111\/2 - 57. Put z, 3, f in decreasing order.\nAnswer: 3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2*u**2 + 1. Let j be h(-2). Let d be (j - (-8 - -3))\/(-2). Is -3 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200303112 - -2?\nAnswer: -200303110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-651632)\/6533)\/293)\/(4\/(-94))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/785570 and 21\/785570.\nAnswer: 785570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348416 = -242*c + 406624. Calculate the highest common factor of c and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*1*(66\/(-12) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + (-22 - (27 - 42))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -17) + (6 - 6). Suppose -4*a = -2*a - y. 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: Work out -55.7 - 3372.\nAnswer: -3427.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 41 = 3*l, -3*o = -6*l + l + 87. What is the remainder when 22 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-35) - (-48)\/168. Let m = -210 + 1892\/9. Put d, m, -1\/10, 0 in decreasing order.\nAnswer: m, 0, -1\/10, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10022733 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 2*v + 3*v - 1. Let p(c) = 4*c + 3. Let q(a) = 6*d(a) + 2*p(a). Let k(n) = 4*n - 9 + 9. Give q(k(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -50. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-72)\/(-81))\/(14\/(-21)). Which is the closest to 0.4? (a) p (b) 24 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/2 + -17\/6. Let i = 0.25 + -3.45. Let u = i + 3. Which is the third biggest value? (a) o (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (1*sqrt(171)*2 - sqrt(171))) + sqrt(171))\/((-4*sqrt(63))\/sqrt(7)))**2 - (-5*(1 + sqrt(1900)) - -2*sqrt(1900)*-1)**2.\nAnswer: -1489981\/16 - 700*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 6. Suppose 3*w - 26 = 2*d - 3, 40 = -5*d + 4*w. Let t be 1 + (d + 3)*-3. Calculate u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2022 divided by 12263.\nAnswer: 2022\/12263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3669*g**2 + 3633*g**2 - 7225*g**2 + 2*g.\nAnswer: 77*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2866 - 7872. Let a = f - -8906. What is a rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730 (base 10) to base 13.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 4*k + 1. Let h(q) = -5*q - 2 - 8*q**2 + 11*q**2 + 0*q**2. Calculate -4*h(p) - 5*m(p).\nAnswer: -2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 > 4\/431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95159068 or 475795339\/5?\nAnswer: 95159068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18.2? (a) 31 (b) -3 (c) 0.3 (d) 5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*a + 10, -3*y + 6 = -4*a + 7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. Let x = g + 5. Which is the second biggest value? (a) 4 (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 31*r - 8. Give j(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 53552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -759*c**6 - 3*c**5 + 3414*c**3 - 15344055*c**2 + 4*c?\nAnswer: -91080*c**3 - 180*c**2 + 20484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-87)*((-1)\/(-3) + (-62)\/78).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = 2*j + 11 + 21, 10 = -5*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(1*sqrt(110))\/sqrt(10) - ((sqrt(99) - (sqrt(99) - (2*sqrt(99) - sqrt(99)))*2)\/(-3*sqrt(9)*1))**2)*-1.\nAnswer: -sqrt(11) + 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 327958*q**2 + 13441768144*q + 228604848136.\nAnswer: 2*(q - 81998)**2*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -434408271 and 4?\nAnswer: 434408275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = 2*a + 2*x, -40 = -3*a + 5*x. Suppose 0 = h + 3*h + 3*k - 6, -2*h = 5*k - 10. Solve 4*c - a*c + 3 = h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {b: 2, i: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 4)*(-p**2 + p**2 + 2*p - 7*p**3).\nAnswer: 49*p**3 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8747\/154 + -57. What is the common denominator of 23\/((-1518)\/(-36))*(-4958)\/1332 and a?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559.4 millilitres in litres?\nAnswer: 1.5594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 33, 49?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0064 + -1.0064. Let n = -57\/2 - -26. Which is the nearest to n? (a) v (b) 2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - -13) - (8 - 24)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*f + 27 = -6, 0 = 3*d + 2*f - 33. Suppose 0 = 3*w + 2*u + 5, 3*w - d = -u + 3*u. Is 0 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 1. Suppose -4*r + 32 = -4. Let k be 0 + -2 + -3 + 11. Suppose 7*d - r*d - k = 0. What is f(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*z + 174*z - 86*z + 33 in the form q*z + p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -1 - (-4 + -8). Let b(o) = -8*o**5 - 8*o**4 + 10*o + 10. Let n(k) = k**5 + k**4 - k - 1. Let p(t) = y*n(t) + b(t). Factor p(v).\nAnswer: 2*v**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -278, -417, -556?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 28. What is the tens digit of n\/(-8) + (-8281)\/(-104)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 65. Suppose -5*g + 2*g = -k. What is the greatest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1204129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*9\/(-90)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 63.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 15. What is the third derivative of -k**2 + 19*k**3 + i*k**2 + 0*k**2 wrt k?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-5)\/f*f)*f\/(((f\/((f*f\/(f**(-5)*f*f))\/f))\/f)\/f))\/(f\/(f\/f**(1\/4)))**(1\/10) assuming f is positive.\nAnswer: f**(479\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1359\/14 - -97. Let y = 4\/7 + j. Let k be (-3)\/(-33)*(-53 + 64) - (6 - 0). Which is the third smallest value? (a) k (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-2)\/(-10)) - 3. What is the second derivative of 3*y**2 - 6*y**2 - j*y**2 - 2*y wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129*v**3*z - 2*v**2*z**2 + 23*v**2*z + 2*v**2 + 66*v*z**2 + v + 3*z**2 wrt v?\nAnswer: -774*v*z - 4*z**2 + 46*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.317 - -0.027. Let p = 0.29 + y. What is the closest to 13 in 2, p, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/4 - (-6)\/(-4)) + (12447 - 12424).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-11) - 54\/(-3267)*-1034?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/30 - r**4\/24 - r**3\/6 - 42*r**2. Let h(d) = -25*d**2 + 8*d - 3. Let z(k) = -3*h(k) + 15*m(k). Factor z(q).\nAnswer: 3*(q - 1)*(15*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33139894 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 103.727995.\nAnswer: 10.3727995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369061533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 923 = -2*i - 0*i, -3*a - 2360 = -5*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -86, -289, -678, -1313, -2254, -3561?\n\"Answer: -10*l**3 - 3*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*k = 5*k + 4, c + k = 0. Let j = 1\/260 + 129\/260. Factor y**c + j*y + 0 - y**4 - 1\/2*y**5 + 0*y**3.\nAnswer: -y*(y - 1)*(y + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3 + 1. Suppose 3*x + 2*o - 130 = 2*x, b*o = x - 154. Suppose x = 3*a - a. What is the remainder when a is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (-3*(-1 + 6*sqrt(10)\/sqrt(2)) - (sqrt(40)\/(sqrt(8) + -2*(sqrt(32)\/sqrt(4) - sqrt(8)))*1)**2)).\nAnswer: 5 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4 + 87*t**3 + 747*t**2 + 1677*t + 1014 = 0?\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54\/11*n + 120\/11 + 6\/11*n**2.\nAnswer: 6*(n - 5)*(n - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 1. Let q be a(-1). Let r(i) = 5*i - 4. Let z be r(0). Let v be (-6)\/15 - z\/10. Sort q, 1, v in increasing order.\nAnswer: v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 45. Let t = d - 5. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 77. Suppose -b*f = -2 + 2. Suppose 0 = -4*n - 2*u + 22, -u - 33 = -5*n + 2*u. Solve f*z = 2*z + n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 77 - 3. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3)*4 + -3 + -1 + 5 + sqrt(44)\/sqrt(4) + sqrt(704)*1)**2.\nAnswer: 26*sqrt(11) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.777525442 to three dps.\nAnswer: 0.778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -170*i*m**2*p + 4*i*p**3 + 357*m**2*p**3 + m**2*p**2 wrt i?\nAnswer: -170*m**2*p + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 12*f - 24. Determine n(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -687, 4, 7 in ascending order.\nAnswer: -687, -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/8*(-4864)\/2128. Solve -6 - 21 = -6*y + 5*s, 3*y + w*s = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35773438, -35773431, -35773420, -35773405, -35773386, -35773363, -35773336?\n\"Answer: 2*g**2 + g - 35773441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -189*b**3 - 873*b + 873*b + (2*b**2 - 3*b**2 + 0*b**2)*(-1 + 2*b + 1).\nAnswer: -191*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - ((-6578)\/10 - 22\/110) - -5. What is the highest common factor of 6380 and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. What are the prime factors of 6\/(-3) - (-16 - x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -27, 1.6, 0.13, 1\/4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 <= 243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 73*l + 2. What is v(15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/2 + h**4\/2 - 5*h**3\/6 - 2*h - 62. Let j(i) = 21*i**3 - 13*i**2 + 11*i. Determine -6*j(c) - 13*m(c).\nAnswer: 4*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/22807013?\nAnswer: -1\/22807013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201.7 + 194. Let x = -8 - l. Let v(p) = -2*p + 29. Let w be v(16). What is the second biggest value in w, x, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31303092.1 rounded to the nearest 100000?\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-25)*(-240)\/72.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, r: 7}. Give prob of sequence lrll.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4923 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 5*n + 4. Let a be h(-4). Suppose 18 = -5*v + 8*v. Solve v*x - 2*u - a = x, 2*u = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 + (-60)\/(-27). Suppose -4*l = -m*l + 2. Let u be 36\/16 - 3 - (-46)\/8. What is the nearest to l in 2, u, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1107852387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -25146?\nAnswer: 25142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*k = 2*k - 159, -5*p = -5*k - 825. Let c = p + -321. List the prime factors of (-4318)\/c + (-4)\/18.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 75. Which is greater: -31 or g?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8*i + 39894 = 116993, 0 = g - 5*i - 77073. List the prime factors of g.\nAnswer: 19, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10259*i**5 - 1918*i**2 wrt i?\nAnswer: 615540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwrmv. Give prob of sequence rm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162786 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-2037)\/388*(-2)\/14.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.1 (b) -0.04 (c) -41.9 (d) -1 (e) 4 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f*p**2*v + 2*f*p**2 + 3*f*p*v - 4*f*p - 48*p**2*v - p*v + 19*v wrt p?\nAnswer: -6*f*v + 4*f - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -5*p, -p + 25 = 4*o - 37. Suppose 21600 = -o*f + 34*f. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 less than 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 1\/9, 2\/15 in decreasing order.\nAnswer: 2\/15, 1\/9, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:05 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-2) - 0)*58\/(-29). Suppose 10 = -h*q - 15. Let n = -0.18 + 0.08. Which is the second biggest value? (a) 1 (b) n (c) 0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*w + 219*w + 114 = 0. Which is the closest to w? (a) -1 (b) 2\/17 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 428756870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209037312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-20) + 5 + -39*(-22)\/15. Let j be (7\/4 - 0)*12. What is the greatest common factor of x and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*q**2 + 1303*q**2 + 3302*q**2)*(2*q - 5 + 5).\nAnswer: 9422*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52349889 to the nearest integer?\nAnswer: 7235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i + 0*i)*((-4 + 7 - 1)*(-3 - 4 + 5) - 2 + 1 - 1) to y + s*i and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -909, -2062, -3667, -5718, -8209, -11134?\nAnswer: -14487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12010220121?\nAnswer: -12010220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -173*w**3 + 8*w**2 + 2. Let q(s) = 173*s**3 - 9*s**2. Let b(l) = -5*m(l) - 4*q(l). What is the third derivative of b(d) wrt d?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*i - 31, -14 = 2*p - 6*p - 2*i. Solve 0 = p*n - 13 - 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from iiiihhhhiihihh?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.11 + -8.91. Let a = -6.8 - h. Let n = -0.08 + -10.92. Sort 2\/5, n, a in increasing order.\nAnswer: n, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:30 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 9*k - 51*k + 0*k**2 in the form m*k + h*k**2 + x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3501299*b**5 + 1758287*b + 194?\nAnswer: 70025980*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69647 is divided by 203.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1*9\/5. Let i = -232.3 + 201.3. Put -1\/2, -3, i, q in decreasing order.\nAnswer: q, -1\/2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-840568\nAnswer: -3362272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/231*(-63)\/(-49)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v + 72. Suppose 0 = 3*i + 3 - v. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/130 and 109\/2444.\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**3 + 0*b**3 + 2*b**2 - b**2 + 12*b**3 wrt b.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + sqrt(1573) + 0 + 2 + (sqrt(1573)*5 - sqrt(1573))*4 + -1)**2.\nAnswer: -1870*sqrt(13) + 454622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -47\/7*b**7 + 0*b + 0*b**6 + 0*b**5 - 67 + 0*b**2 + 0*b**4 + 37\/3*b**3. What is the third derivative of k(n) wrt n?\nAnswer: -5640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-4 + (-2*(sqrt(700) + 1*sqrt(700)) + 3)**2)*-3.\nAnswer: -605070 + 12960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -113, -166, -239, -338?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85607288.\nAnswer: 2, 13, 23, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176182282?\nAnswer: 2, 53, 1033, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41cab7 (base 13) to base 9.\nAnswer: 2810123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*r**5 - 3306*r**3 + 21*r**2 - 115004935*r wrt r.\nAnswer: 1620*r**3 - 19836*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4 (c) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19531 - 25722 + 4*n**2 - 3*n**3 + 5*n**3.\nAnswer: 2*n**3 + 4*n**2 - 45253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 934235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*3*-2. Suppose -4*p = 16, -2*o + 4*p - 8 = 5*p. Let i = o - t. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 h when three letters picked without replacement from {t: 3, h: 2, k: 4, l: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 124.2, -1\/8, -2.6, 5, -3\/10, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219161 is divided by 109535?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q - 4. Let z be s(2). Solve -19 = -4*d + y, -2*d - z*y - 7 = -21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 1. Let a = 69\/2 + -141\/4. Let b = 1305 - 1304. What is the closest to h in a, -3, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5346984 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/3 - 462*j + 92800\/3 = 0.\nAnswer: -1450, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 25 - 2*x**2 + 12.\nAnswer: -2*x**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 2*r, -7 = -4*r - 3. Suppose 2*w = -4*w + 6. Solve q = -l + w + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135.03 + 136. Let a = m - 0.97000183. Round a to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64\/67 + 8342\/737. Let t = y - 1504\/143. Let k be ((-2)\/(-12))\/((-1)\/3)*-2. Are t and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let y(h) = 14428092*h**2. Calculate y(s(o)).\nAnswer: 57712368*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107705500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/10 - 2358*j**2\/5 - 34344*j - 3102624\/5.\nAnswer: (j - 4788)*(j + 36)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2226962*a - 674853?\nAnswer: -2226962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.431 + 6.48254?\nAnswer: 8.91354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1053 - -43172\/41. Let v be 5\/(10\/4) + -3. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Let v = 1.3 - -0.7. Let j = v + -2. What is the closest to j in b, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2. Let g(q) be the third derivative of -q**6\/120 - q**3 + 9*q**2. Let i(c) be the first derivative of g(c). Determine a(i(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 + 0.18. Let f = u + 0.11094. What is f rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 32*v**2 - 8*v + 14. Let c(w) = -96*w**2 + 23*w - 42. Let f(j) = -4*c(j) - 11*l(j). Does 58 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2. Let x be r(-1). Let f(z) = -x*z**2 - z**2 + 2*z**2. Let j(s) = -5*s**2 - 3*s**2 + 5*s**2 + 5*s**2. Calculate f(j(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -24, -42, -62, -84, -108, -134?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -97 - 32*p**2 + 1\/3*p**3 + 1024*p. Factor m(j).\nAnswer: (j - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 5660 + 25500 = 0. What is k rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 8*i**2 + 8*i - 4. Calculate l(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383207*y + 382184*y - 765413*y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7911 + 20515026?\nAnswer: 20515026.7911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 6. Let k = 5 - m. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from gpt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 110. Solve -3*a + 7*a - 2*k + p = 0, -3*a - k - 9 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(-4*(-5)\/(-50)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 352*z - 14*z + 43*z + (0 - 2 + 6)*(2*z - 1 + 1) + 4*z + 21 - 21 in the form g + n*z and give n.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 14501733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 156329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maqkv. Give prob of sequence akq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:39 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14168, -56683, -127542, -226745, -354292, -510183?\n\"Answer: -14172*b**2 + b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Suppose 2*s = -j*s + 215. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Suppose 0 = 3*v + 2*l - 44, l = -3*v + 3*l + 28. Let u(r) = -17*r + v*r - 28*r. Calculate c(u(t)).\nAnswer: -66*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*6\/(-9) + 4. Let -27*z**2 + 9*z**2 + 36*z**4 - 2*z**4 - 8*z - 46*z**3 - 22*z**b + 60*z**5 = 0. What is z?\nAnswer: -2\/3, -1\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffb when three letters picked without replacement from ffffffffffbssf?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-36))\/(63\/15309*1377)\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54825*1.31\nAnswer: -71820.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 42*r**3 + 189*r**2 - 189*r + 189. Let n(p) = -p**2 + p - 1. Give 378*n(x) + 2*v(x).\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 8*c - 17*c - 2, -8 = -4*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(-1 + 0) + 51\/(-510).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0*u + 3*u - 9 - 3*u - 3*u. Does 3 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002335 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 4 (c) 9 (d) 750\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*r + 1100 = -r, -16 = 4*r. Find the second derivative of -368*z**3 + j*z**3 - 2*z - 6*z + 2*z**4 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 342493*r + 1027483. Give q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 478921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w + 5. Let x be n(0). Let i be (3\/48)\/(-1)*x. Let o = -1\/16 - i. Put 4, 0.2, o in descending order.\nAnswer: 4, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 2189831.\nAnswer: 17518648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.07 + -0.07. Which is the closest to 6? (a) j (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**3\/9 + 3188*x**2\/9 - 528280*x\/9 = 0.\nAnswer: 0, 235, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1536)*2 + sqrt(384)*-1)\/((sqrt(392) - (-2*sqrt(392) + sqrt(392))*-3) + (sqrt(392) - 3*sqrt(392)*-1 - sqrt(392))))**2.\nAnswer: 432\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 2*r + 4 - 4*r)*(-8*r + 6*r - 8*r)*(1 - 1 - r) as q*r**3 + v + m*r + k*r**2 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1679 - -1734. What is the highest common factor of 143 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8 + 1\/4*w**2 + w = 0. Calculate w.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0 + 1. Let v = 4 + a. Suppose -v*l + 5015 = -5*o, -2015 = -o + 3*o - 5*l. What is o rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/20, -4, 2\/7, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 r, and 1 w when four letters picked without replacement from {r: 8, w: 6, q: 3}?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261906 = -81*k - 265065 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 11*h**2 - 10*h + 13. What is g(11)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12221 + 5?\nAnswer: 12230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/3 + 8444*c\/3 - 8368640\/3 = 0?\nAnswer: -9340, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o - 35. Does 10 divide p(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000127208953 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -47. Suppose -j - 3*j + 4*r = -12, -4*j - 2*r = -p. Solve 5*w = 2*h + 10, 4*w = -j*h + 5*h + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 6*f. Let i(a) be the third derivative of -a**5\/20 - 73*a**2 - a. Calculate c(i(v)).\nAnswer: 9*v**4 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = 0, 2*c + 0*f = -4*f + 20. What is r in r - r**2 + c*r + 0*r**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*c = 24, 8*r = 3*r + 2*c + 18. Let g be 8\/2 + (r - 3). Is 4 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 431 + -349. Suppose 32*b + 23 = 151. What is the remainder when u is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 20610635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.65 + -1.11.\nAnswer: 17.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}