diff --git "a/data/dm_maths/full_data_2/10142_11255.jsonl" "b/data/dm_maths/full_data_2/10142_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10142_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 226703 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*3)\/18 + 365\/30. Factor 2*p**5 + 10*p**4 - 2*p**3 - 2*p**2 + 4*p**4 - m*p**4.\nAnswer: 2*p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-16896)\/(-1584)*6\/672?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**6 - 2*l**2 + 8*l**6 - 8*l**6 + 7*l**6 wrt l?\nAnswer: 1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h**3 - 14*h**3 + 30*h**3 + (-123*h - 117*h + 245*h)*(-h**2 + 0*h + 0*h) - h**3 + 3*h**3 - h**3 in the form a + u*h + k*h**2 + d*h**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95 + 89 - 312)*(10*m**2 + 2*m**2 - 8*m**2) + (-m**2 - 3*m**2 + 3*m**2)*(0 + 1 - 2) to the form a + c*m**2 + q*m and give c.\nAnswer: -1271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 - 50515*n**3 - 758615*n**2 - 2377565*n - 1669470 = 0. What is n?\nAnswer: -11, -3, -1, 10118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 4:47 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 7*q**3 - 16*q**2 - 12*q.\nAnswer: -q*(q + 2)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-2) + (-1)\/(-2). Suppose 0 = -i*k + k. Suppose 3*h + 1 + 2 = k. Let j(f) = f**3 - f**2 + 1. Determine j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 73, 2.\nAnswer: -4, 1, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86455 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*w + 17*w + 67*w + 57*w.\nAnswer: 206*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 1)*(1 - 5*f - 1)*(-10*f + 9 - 9)*(-3 + 3 - 2*f).\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -1946616.3?\nAnswer: 1946617.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2214*y - 2220*y + 6 = 0. Sort y, -1\/9, -2, -3 in ascending order.\nAnswer: -3, -2, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {f: 1, d: 1, x: 4, n: 7, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921142.\nAnswer: 2, 613, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -72, -3*q - 434884 + 434746 = -8*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63309*w**2 + 31653*w**2 + 31654*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32944 + 33634. What are the prime factors of q?\nAnswer: 2, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.21 and -2387.\nAnswer: -2387.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1461 - 3023\/2. What is the common denominator of h and (240\/(-64))\/((-10)\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 10:50 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9230487 to the nearest integer?\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18)*42\/28.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14039*m**2 + 8400*m - 6. Let z(h) = -98274*h**2 + 58804*h - 43. Let w(a) = -43*k(a) + 6*z(a). What is the second derivative of w(d) wrt d?\nAnswer: 28066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011100010002 (base 3) to base 4.\nAnswer: -10120111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438377001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001282832 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 16806 = -5*a - 16832, -4*a + 0*a - 25 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = 11*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 9:25 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(252) + -2 + sqrt(252) + 0 - sqrt(252)) + -6*2*sqrt(252) + sqrt(252).\nAnswer: -60*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpe when three letters picked without replacement from wuewwprwppuwwpp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**13)**(1\/23) assuming j is positive.\nAnswer: j**(13\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 13. Let j(p) = -7*p**2 - 12*p - 6. Let d(v) = -169*v**2 - 286*v - 143. Let n(b) = -6*d(b) + 143*j(b). Determine y(n(r)).\nAnswer: -13*r**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014405746 to 6 dps.\nAnswer: 0.001441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-68052)\/33 - 20\/(-110))\/2. Let t = 4127\/4 + s. Suppose 1\/2*a + 0 + t*a**2 - 1\/4*a**4 + 0*a**3 = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-4\/5)*i*i*i**(-14)*i*i assuming i is positive.\nAnswer: i**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -41*g**2 + g - 6. Let q(i) = -42*i**2 + i - 5. Let k(d) = 3*h(d) - 4*q(d). Is 21 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.92 - 0.48. Round c to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 730 + -758 + -2 + -7 + 1\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-12)\/(-16)) + -5. Let p = g + 27. Let u(f) = 6*f**2 + 1. Let w be u(-1). Solve -w = -4*x + t + 7, 0 = 4*x - 3*t - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4620178 and 5332.\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -52159*f + 3. Let n be j(-2). Suppose 9*p - n - 98179 = 0. Suppose 2*k + p = -3*k. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*b - 118*b + 3*b to the form n*b + l and give n.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q**2. Let u(o) = 2*o - 10. Let f be u(5). Let n(z) = 3*z - 2*z + z + f*z. Calculate n(i(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 107*k - 7043. Let d(s) = -268*s + 14086. What is -2*d(i) - 5*v(i)?\nAnswer: i + 7043","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/40 and 24\/(-540)*10*655\/320?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/5)\/(66\/(-110)). Let r = -959\/2 - -481. Let d = -2 + 4. Which is the nearest to d? (a) z (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1632)\/132 + 12)\/((-5)\/((-220)\/(-72))). What is u in -22\/9*u - 10\/9 - 14\/9*u**2 - i*u**3 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18*g - 103. What is the tens digit of u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*(sqrt(1008)*-2 - sqrt(1008)) - sqrt(1008)) + (-1 + 1*sqrt(1008))**2) + (sqrt(693)\/sqrt(99) - (sqrt(441)\/(sqrt(28)\/sqrt(4)))**2).\nAnswer: sqrt(7) + 1955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -29*n - 18*n + 47*n - 8 - 11*n. Let t(s) = 0 + 0*s + 5 + 7*s. Let g be (1 + 0)\/((-1)\/5). What is g*w(x) - 8*t(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y + 12*y**2 + 22 + 8*y**2 - 21*y**2. Let p be q(-17). Let i(l) = 2*l + p*l + 8*l. Let r(g) = 4*g. Calculate r(i(j)).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18522 - -69174. Suppose -5*l + 4058 = -b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 12*b - 15. Let v(k) = -k + 5. Let f(p) = -2*p + 4. Give b*f(w) - 3*v(w).\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1359 - 1310. Calculate the smallest common multiple of 175 and c.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.6, -0.1, -1\/3, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3794 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9976288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5244 = -262*w + 260*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35089562 divided by -773?\nAnswer: -45394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v*v**(-2\/3)*v**(-3\/13)\/(v\/v**(2\/21)))**14 assuming v is positive.\nAnswer: v**(400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -495? (a) -51 (b) -2\/3 (c) -0.095 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -153\/2 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 3*a + a**2)*(-a**2 + 0*a**2 + 2*a**2) + (6 + 7 - 4)*(-5*a**4 + 3*a**4 + 0*a**4) as i*a**3 + j*a**4 + p*a + s + g*a**2 and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*i = -45320276 + 320795726. What is i rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12806662 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g - t, 0*t = -3*g - 2*t + 23. Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 15 = -5*d. Solve -5*o - 3 = -2*n, 0*o + d = -n - 5*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2 - 7*q**2 - 2*q + q**2 + 0. Let p be d(-2). Let l be (-40)\/42 + p\/(-63). What is the third smallest value in -3, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, -3\/4, 32\/243, -2, 2, -0.02, 0.1?\nAnswer: 32\/243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*o**4 + 16*o**3 + 3*o + 14498?\nAnswer: -768*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1168716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/672 and -67\/1200.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2)*4 + 4 + (4*sqrt(18) + (sqrt(64)\/sqrt(4))\/sqrt(8))**2)*4*-4 + -2.\nAnswer: -5474 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/2 - 3*r**4\/2 - 4*r**3 + 6*r**2 + 8*r = 0.\nAnswer: -2, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -15\/649673?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + j**2 + 509*j + 66. Let f be o(-22). Solve f = -8*r - 1091 + 1059 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 47 = 4*p + 313 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((21\/12)\/((-9)\/12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**6\/360 + t**5\/24 - t**4\/4 - t**3\/3 + t**2 + 47. Let h(b) be the third derivative of q(b). Factor h(m).\nAnswer: -(m - 3)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2160 and 10289520?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 3*c**2 + 7*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -99\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 28 = 5*b. Suppose -g - 132 = 4*p, -b*g - 99 = 3*p - 3*g. Is 1 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2133 + 1030220?\nAnswer: 1022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 366144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3253 - -3322. Solve 10*p + h = 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 2*y + 350 - 356, -3*y + 9 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1906204 or 1906192?\nAnswer: 1906204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1636*o + 2*o**3 - 4*o**3 - 1655*o - 2*o**2 - 1638*o + 4963*o as v + g*o + z*o**2 + j*o**3 and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 not equal to 8215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7896.847 litres?\nAnswer: 7896847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-261)\/(-45) - (-177954)\/2230?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:20 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 88.14. Let y = 0.48 + k. Let o = -0.02 + y. Which is the nearest to -1\/3? (a) -2 (b) 1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3864, -15008, -33518, -59394?\nAnswer: -92636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m + 8. Let w be m\/(-15) - 98\/(-10). Solve q + 4*q + w = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from rwxnwrxnwnwwwwr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {m: 4, a: 1, i: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from ongdiog?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -163, -97, 5, 149?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 2252376.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:52 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90865, -181733, -272601, -363469, -454337?\nAnswer: -545205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0753 times 1.26?\nAnswer: -0.094878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {p: 2, e: 2, f: 6, i: 1, h: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/18*(-140)\/((-61880)\/(-1989))?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.2. Let k be -10*(38\/10 - 3). Let w be (-2)\/(-4)*k\/12. Which is the nearest to w? (a) -3\/2 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b4321 (base 13) to base 7\nAnswer: 12030050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -13*x**3\/6 + 3*x**2 - 24*x + 2. Let s(m) = 11*m - 5. Let i(v) = 5*h(v) + 6*s(v). Let q(y) = 241*y. Calculate i(q(o)).\nAnswer: 241*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/40 - s**4\/12 + s**3\/3 - 3*s**2. Let g(l) be the first derivative of m(l). What is the first derivative of g(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2522, 5, 11, 0.1 in increasing order.\nAnswer: -1\/2522, 0.1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5 = -k, z + 5 + 12 = 3*k. Suppose -3*o = 15, 5 = -2*v - 0*o - o. Suppose -k*u = -v*u - 560. Calculate the highest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 52 - 5*k**2 - 96 + 44.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 101964 = -4*h, 3*d + 0*d - 4*h = 76501. Suppose 8*x - d = 130977. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 16338.\nAnswer: 130704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/(-585))\/(28\/350*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.791809 + 0.7855. Round f to 4 decimal places.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, 1.4, 0.2, 0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/(-45) - 4)\/((-21)\/(-40)))\/(12\/(-42))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-15)*(-9)\/(-66). Let n(i) = i**3 - 4*i**2 + 2*i - 3. Let t be n(4). What is the smallest value in d, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 275\/6, 7\/5, -28, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 38006.\nAnswer: -1254198","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 1, l: 1, o: 5, h: 3, m: 1, w: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690152 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: Find b, given that 3*b**4\/2 + 63*b**3 - 2241*b**2\/2 - 37104*b + 524160 = 0.\nAnswer: -39, -35, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((sqrt(931)*1 + 2)**2 - sqrt(931) - (0 + (sqrt(931) + 0)**2)) + 3.\nAnswer: 3 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4601.\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/2 - 177*q**2\/4 - 135*q\/2 = 0 for q.\nAnswer: -3\/2, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2 - 67*b - 8670. Calculate x(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 10. Suppose 0 = -3*b + 4*a - 5 - 7, -3 = 2*b - a. Suppose b = 7*y - 2*y. Suppose y = 5*h + 5*j + 40, 2*h + 4*j - 13 = 3*h. What is l(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 - 2*q - 8. Let i(d) = -d**2 - 1. What is 3*i(c) + v(c)?\nAnswer: 3*c**2 - 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 3*q + 12. Let k be v(5). Suppose -10 = -3*u - 3*b + 59, k*u - 37 = -5*b. Is u smaller than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3420 and 137\/337896?\nAnswer: 1689480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10037*k**2 + 78257*k?\nAnswer: 20074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let m(g) = -9*g. Let z(l) = -m(l) - 4*t(l). Let n(c) = 3*c**2. Determine n(z(x)).\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:34 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + 6*o**3 + o**3 - 9*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3168 is divided by 230.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c**3 - 130*c**2 + 20*c - 240. Determine f(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 374092483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1180\/(-80))\/(1\/4). Let k = c - -296\/5. What is the smallest value in k, 0, 0.5, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34570 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(2\/(-6)). Let j = 0.95 + 0.05. Is k less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2159, -3287, -4377, -5423, -6419, -7359?\n\"Answer: i**3 + 13*i**2 - 1174*i - 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 30*q**2 + 12*q + 140. Let d be r(17). What is the greatest common factor of d and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1610011350*n**3*v - 1059294878*n**3 wrt v?\nAnswer: 1610011350*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23578 times -96\nAnswer: 2263488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75.1 - -93. Round x to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 5*k**2 - 5*k**2 + 2*k**3 + 8*k to c + z*k + p*k**2 + j*k**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/(-10) - (-1)\/2. Let r(u) be the first derivative of -1 - 1\/2*u**2 - 2*u. Determine r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkghggk. What is prob of picking 1 k and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a - 3*a + 5*a)*(15236 - 15236 + 260*a) + 9*a**2 - 1 - a - 11*a**2 + 3*a**2 in the form r*a**2 + x*a + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 + 2 - (-5 + 2). Suppose -5*m - h + 260 = -m, -p*h = 0. Suppose r = 2*d + 59, -r - 2*d + m = 2*d. What is r rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 + i - 1. Let q(a) = 166*a**3 - a + 176*a**3 + 2*a**2 + 0*a**2 - 1 + 0*a**2 - 335*a**3. What is h(v) + q(v)?\nAnswer: 6*v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -242 - -232. Which is bigger: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*o - 88*o + 488*o - 21730 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*d**2 - 20*d**4 + 10*d**3 + 7*d**4 - 10*d**3 wrt d?\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 - -264. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 2:55 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1014423320*t**2*v**2 - 1208*t*v + 177198*v**2 wrt t?\nAnswer: 2028846640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*z - v, 4*z + 12 = -v - 22. Let g be -3 + z - -3 - 3. Let c(j) = -j - 11. Let f be c(g). Solve -3*h + f = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by (-50)\/(((-16)\/(-1080)*-5)\/((-2)\/(-6)))?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173 * -0.1700607.\nAnswer: -29.4205011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-121))\/(((-552)\/(-23))\/(-48))?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a factor of 43516368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*x**2 - 36*x + 4.\nAnswer: (9*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4188*r**2 + r + r - 8503*r**2 + 3853*r**2.\nAnswer: -462*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + l)*(3*l - 3*l + 2*l**2) - 2233*l**3 + 2237*l**3 - 68*l + 7*l.\nAnswer: 6*l**3 - 61*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/40 - o**5\/20 + o**4\/8 + 4*o**3\/3 - 20*o**2. What is the tens digit of f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3, 0, -0.4, 0.2 in ascending order.\nAnswer: -3, -0.4, -1\/4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 159*c + 50 - 34.\nAnswer: 159*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -31. Let x be (-4)\/6 - (-77)\/k. Let p be 4\/(-1)*3\/(-4). Is x at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**47\/(((c*c**(-2))\/c)\/c**(9\/5)) assuming c is positive.\nAnswer: c**(-686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**4 - 380*s**3 + 2944*s**2 + 1024*s.\nAnswer: 4*s*(s - 16)**2*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 777 = -3*q + 10*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 2*d - d + 138.\nAnswer: -3*d + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3933*s**2 - 39292 wrt s?\nAnswer: 7866*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-3\/2))*t\/(t\/(t*t**(-15))))**(1\/17))**(-29) assuming t is positive.\nAnswer: t**(899\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o + 530. Let a(z) = 23*z + 1591. Calculate -6*a(l) + 17*i(l).\nAnswer: -2*l - 536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 599 = -473. Let r(d) = 2*d - 34 + k - 36. Let l(o) = -3*o + 3. Calculate 4*l(w) + 5*r(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1965 divide 648233850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**3 + 6575*m**2 - 22905*m + 9810.\nAnswer: -5*(m - 654)*(m - 3)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -350*i**2 - 6*i - 56. What is v(-2)?\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = -4*k, -2*k + 5 = m - 1. Solve m = 5*b - b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypp when three letters picked without replacement from {p: 2, j: 2, y: 11}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 8*a - 10. Let c be y(-7). Let z be 270382\/(-24) - (c - -4). Let t = -11274 - z. Calculate the common denominator of -57\/4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/5 - 7282*y**4\/5 - 1758256*y**3 - 692374400*y**2 + 13836166400*y + 14526784000 = 0. Calculate y.\nAnswer: -1220, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**5\/10 + 8*m**4\/3 + 5*m**3 + 4174*m. Factor x(y).\nAnswer: 2*y*(y + 1)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3444 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*l**3*x**4 + 8*l**3*x**2 - 73*l*x**2 wrt x.\nAnswer: -2280*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/3 - 22*u**4\/3 - 26*u**3 - 82*u**2\/3 - 28*u\/3.\nAnswer: 2*u*(u - 14)*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 176451891384569?\nAnswer: 176451891384565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m + 17. Suppose 2*v + 79 = 5*x, -x - 5 = -2*x + 4*v. Let k(p) = -5*p + 6. Let u(h) = x*k(h) - 6*r(h). Let d(j) = -3*j. What is u(d(a))?\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 - 84. Let r = -3 + 2. Let l be 1 + r - 4\/(-10). Which is the closest to u? (a) -2\/13 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 7*x + 12. Let i be r(8). Solve 0 = 2*a + d + 14, -6*a + 2*a + i*d - 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 12*t + 51*t - 11*t - 17*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -c106?\nAnswer: c0d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*o - 2058 = -647 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 0.9. Let n(w) = 5*w + 5*w**2 - 2*w**2 - 2*w**2 - 5. Let i be n(-5). What is the biggest value in h, -4, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (((sqrt(1372) - -4*(-3*sqrt(1372) + sqrt(1372) + sqrt(1372))) + -3 + -1*sqrt(1372) + sqrt(1372))*-6)**2.\nAnswer: 9072*sqrt(7) + 444845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -31*n. Let c(x) = -6 + 6 - 216*x**2 + 194*x**2. Determine l(c(o)).\nAnswer: 682*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6966945 to the power of 1\/2, to the nearest integer?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1089298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.3 and -1.81947.\nAnswer: -64.227291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 920861.7 millilitres?\nAnswer: 920.8617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 34620*v - 691998. Calculate m(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q + 16. What are the prime factors of v(5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29396747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 328\/984*(-459)\/6\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 725838.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s + 1. Let n be l(8). Let f = -2786 - -2800. Calculate the greatest common factor of n and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/126)\/(12\/(-54)))\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - r + 32 = 0, 0 = -3*a - r - 5 - 26. Let l be 4\/18 + (-295)\/a. Suppose -l = 5*p - 8*p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**2 - 4*d**2 - 5*d + 7*d**2 + 3. Find the first derivative of t(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 51. Let p = a - 44. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2322621 and 504.\nAnswer: 18580968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 18*g - 578. Let i be x(-43). Let y be (-48)\/10*(-115)\/(-2). Let w = y + i. What is w rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4957, 9912, 14867, 19822, 24777, 29732?\nAnswer: 34687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/(3\/(-39)*4\/8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 624 and 624 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = 0. Suppose -70 = -5*z + 4*h, -5*h - 77 = -5*z - 2. Let m = z - s. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 2*h + 2. Let k(t) be the first derivative of t**2 - 13*t + 1. Let b be k(9). Suppose -22 = 4*v - 3*z, -7*v + 2*v - 10 = b*z. Calculate d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12703 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = -5*q + 6, 2 = -3*q - 2*h. Suppose 2*k = -3*k + 10, q = 4*g - k - 2. Let w be (1 - -1)\/(5 - 7). What is the nearest to g in w, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*4\/14)\/((-70)\/245). Find the first derivative of 39 + 86*p**s - 4*p + 26 - 89*p**2 wrt p.\nAnswer: -6*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 31. Let o(h) = -12*h**3 - 2*h**2 - 10*h - 9. What is the units digit of o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1790957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -672.6 - 0.1674537525?\nAnswer: -672.7674537525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1401513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1288 + 1249 - (-3 + 0 - -8)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536 - p + 536.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 7*x + 10*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20710430?\nAnswer: 2, 5, 13, 159311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -283*v**5\/60 - v**2 - 593*v. Let p(f) = 3*f**2. Calculate p(a(b)).\nAnswer: 240267*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3777 (base 10) in base 9?\nAnswer: -5156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69843 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256553107.\nAnswer: 256553107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/12, 36125 in increasing order.\nAnswer: -1\/12, 0.4, 36125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 2. Suppose -5*j + 30 = -2*c, -2*c = -4*j + 3*c + 41. Calculate the greatest common factor of s and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -1\/96*j**4 - 1\/840*j**7 + 0*j + 0*j**3 - 2*j**2 + 1\/480*j**6 + 1\/240*j**5 + 0. Factor v(f).\nAnswer: -f*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*t + n, 13 = -5*n + 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16154, 15969, 15784, 15599, 15414, 15229?\nAnswer: 15044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3266689 rounded to 3 decimal places?\nAnswer: -3.327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b - 5 = 2*q, -2*b - 2*q = 6. Let t(o) be the first derivative of o**3\/3 + o**2 + o + 1. What is t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10104 + 4?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 79 - 293 = 166*n, -3*b - 7 - 13 = 3*n + 10 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 3, 5, 0.09.\nAnswer: -6\/5, 0.09, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76812 = -310*w + 483*w. Is -447 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 353 = 5*v, 23*v - 10*v - 5*v = 4*v + 5*v + 65 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*-5*-1*sqrt(152)*5)\/(-5*(6*(2*sqrt(72) - sqrt(72)) + sqrt(72) + -3*(sqrt(72) + (sqrt(72) - 2*sqrt(72))))).\nAnswer: 10*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 + w + 1. Suppose -5*t + 8 - 20 = 2*x, 0 = -4*t - 8. Let s be k(x). Suppose -6*p + 8*p - s = 0. What is the remainder when 14 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-4)*(4 - 2). Let z be (2\/(-22))\/(4\/x). What is the biggest value in 0.2, z, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*u + 6 = 0, 12 = b + 2*b - 3*u. Suppose b*v + 12 = 36. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/7, 1, 1\/179, 2?\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*t**3 + 5474 - 10950 + 5476.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/(10 - (-95)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let b(o) be the third derivative of 25*o**2 + 0 - 1\/2*o**3 + 1\/24*o**4 + 1\/30*o**5 + 1\/60*o**6 + 0*o. What is b(x) + 2*u(x)?\nAnswer: 2*x**3 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10 - 3 - z**2 + 8 - 10*z. Let i be r(-9). Suppose s + 3*b = -2, s = -2*s + i*b + 7. Which is bigger: -1\/155 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w = -10. Suppose -1280 = -3*m - w*h, 0*h = -m - 2*h + 428. Is 0 + 14\/42*m\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65\/7 - -66\/7. What is the biggest value in -1\/5, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/96 + 241*v**3\/16 - 721*v**2\/8 - 1938*v. Factor i(r).\nAnswer: -(r - 721)*(r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(1872)*-2*-6 + (4 + 1 + sqrt(1872) + 1*sqrt(1872)*1)**2 + -2.\nAnswer: 1536*sqrt(13) + 7511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let x be r(-2). Let p be 0 + (5 - 4\/x). Suppose c = f, -4*f + 6 = -p*c + 1. Put -5, c, 3 in decreasing order.\nAnswer: c, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -407.\nAnswer: -4\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1175*q**2. Let n(w) = -2*w. Give s(n(d)).\nAnswer: 4700*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:38 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36498027.\nAnswer: 3, 311, 39119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25444634888 + 1.5?\nAnswer: -25444634886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 15*g**2 - 3*g**2)*(0*g**2 + 4*g**2 + 18*g**2 + (3*g + 4*g - 5*g)*(3*g + 2*g - 4*g) - 3 - g**2 + 3 + 5*g**2 - 12*g**2 + 2*g**2).\nAnswer: -198*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495939 (base 11) in base 15?\nAnswer: -5a708b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 3\/4 (b) -0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4, 2\/7, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 9:54 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1))\/(-3)*-15. Let s(u) be the third derivative of -u**5\/60 + 5*u**4\/24 + 5*u**3\/6 + 26*u**2. Let x be s(w). Put -5, -1, x in descending order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Let m(j) = 8*j - 3. Let a(y) = -15*y + 5. Let d(n) = -3*a(n) - 5*m(n). Let g be d(5). What is the highest common factor of g and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f**(-6)*f)**(-33)*(f**(-13)\/f**(1\/5))**4 assuming f is positive.\nAnswer: f**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206139*637.\nAnswer: -131310543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -1 - (43 + (28 - 52)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3198615 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 500490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxxj. Give prob of sequence xjx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 11993125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -15.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = 6*i + 82. Let d = i + 61. Let t = -29 - d. Solve v = t*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. What is the nearest to 1 in 2\/3, 0.1, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 311\/400 - 21\/25. Which is greater: w or -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/120 and 49\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - (-1409)\/7) + 16\/(-56)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(144\/30))\/(2\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 0, g - 3*y - 16 + 1 = 0. Let p = -13 + g. Suppose -4*b = 2 + p. Are b and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/16 - 281657\/(-1704))\/((-1)\/(-3)) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o**(-1\/5)\/o)\/o)*o*o*o\/(o\/(o*o**(-27)\/o))*o)\/(o**14\/o)**34 assuming o is positive.\nAnswer: o**(-2309\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1 + 0\/4. Solve n = -1 + a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 9*m**2 + 6*m**3 - 32 + 7*m**2 in the form f*m**3 + p + q*m**2 + n*m and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23590 or -23601?\nAnswer: -23590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heevssessshhheesesse. What is prob of sequence ee?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/10 and 61\/5022.\nAnswer: 25110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28193, 28092, 27937, 27728?\n\"Answer: -27*x**2 - 20*x + 28240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*r = 700, r = -3*w - 26 + 440. Let s = -84 + w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - 17 - (-57 - -21 - -26) - -42.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 13495 = -9*v + 2*a, a = -v + 4500. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545.4929 plus 0.345?\nAnswer: 2545.8379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 178997 = 14696. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-120) - 139\/(-6). Solve 8*c**4 + 19 - 4*c**2 + 8*c**3 - 10*c + 3*c**5 - c**5 - j = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -144*q**4 + 5496*q**3 - 6001*q**2 - 7905*q - 1850 = 0. What is q?\nAnswer: -5\/12, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/15 + (-57)\/(-190) + (-912)\/160?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + 10\/((-40)\/(-26)). Suppose -633 = -5*o - 2*k + j*k, -k = 2. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1107711734 from -0.1.\nAnswer: -1107711734.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 56\/24 - (-28)\/6. Suppose -5*l + 5*r + 285 = 0, -3*l = -m*r - 177 + 6. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-435)\/(-725)*10\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7410 (base 8) to base 3.\nAnswer: 12021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 19 = 2*b + x, 2*b + 16 = 2*x. Let i be (-4)\/b*(5 + 0). Suppose -3*v - 43 = -2*g, 0*g - 111 = -i*g + v. 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 137 minutes after 9:15 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/51*(0 + 12\/(-18))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1800 + 1799.6. What is the second biggest value in 4\/7, w, 1.8, 2\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2552\/636 - 4)*-18. Is p at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 27*u**2 + u + 13. What are the prime factors of k(4)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:53 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 348 - 92*l**2 - 37*l**2 - 53*l**2.\nAnswer: -184*l**2 + 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348513, 697032, 1045555, 1394082, 1742613, 2091148?\nAnswer: 2439687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3060.81 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/((-39)\/15) + -2 + 5. Let f(u) = -u**2 - 11*u - 11. Let o(a) = 4*a + 4. Calculate q*o(l) + 3*f(l).\nAnswer: -3*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/42)\/((-1156)\/(-10115))*(-18)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56ab (base 13) to base 11.\nAnswer: 9137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119086231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2 + 2 + 10*w + 87*w**2 - 86*w**2. Calculate c(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4862 plus 1?\nAnswer: -4861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/24 - 20*h**2. Let t(c) be the third derivative of -c**4\/12 - c**2. Determine t(u(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**4\/2 + 2*k**3\/3 - 2. Factor j(w).\nAnswer: -2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**6\/120 + 7*x**5\/30 - 2*x**4\/3 - 13*x**3\/6 + 41*x**2. Let a be z(-15). What is the tens digit of 64*a - (1 - (-3 + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, h: 2, j: 1, p: 1, x: 1}. Give prob of picking 1 p and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f - 13. Let v(t) = t + 1. Let h(z) = g(z) + 6*v(z). Let b be h(-5). Suppose -5*c - 3*n + 13 = 0, 4*c - b*n - 4 = -7*n. Solve 0 = -5*k + c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 - 1397 + 0*g**3 - 2*g**3 - 407 to the form i*g + x + a*g**2 + u*g**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2089, 4116, 6141, 8164, 10185, 12204?\nAnswer: 14221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 20 = 2*q, q - 2*p - 13 = 2*p. Let r be -15*21\/q*(-2)\/3. Let u be (-9200)\/3*(-5 - r\/(-12)). Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -17)\/(6\/4 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 + 0.2. Let t = 0.09 - v. What is the closest to t in -2, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 18*f + 21. Let h be v(-11). Let o = 135 + h. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.238.\nAnswer: -0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3 - 3)*(2*c**3 + 0*c**3 - c**3) + 6*c**4 + 17*c**4 + 6*c**4 + (2 - 1 - 4)*(c**4 - 2*c**4 - c**4).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6) - 1105\/(-195). Solve g = -q - 3*w + 5, 5*q + 10 = 2*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11344420333 (base 5) to base 3\nAnswer: -220222200000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 445751153 + -445751177.00000038. Let z = -22 + -2. Let c = z - h. Round c to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(4*sqrt(3)))\/sqrt(11).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19196.3 - -19196. Let z(m) = m**3 - 6*m**2 - 5*m - 3. Let q be z(7). What is the closest to 1\/4 in 2\/17, q, a?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-15))\/(-3*14\/63). What is the second smallest value in -21, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = 0, 6*q - 7*q + 5 = 5*p. Let b = 2 + -7. What is the closest to b in q, -0.5, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 604, 1206, 1808, 2410?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 65 = -11*p + 5*t, 3*t = -p + 39 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 3*r - 3. Suppose -b - 2*z = -42, 6*z - 2*z - 216 = -5*b. Suppose -5*v + b + 6 = -5*y, -2*y = 2*v - 24. Let w = v + -13. Calculate k(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 113?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/21 + (-770)\/(-2205)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {q: 1, s: 3, f: 1, e: 1, g: 5, w: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5268222, -10536445, -15804668, -21072891?\nAnswer: -26341114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 55*m**5 - 11*m**3 - 70*m + 11. Let q(i) = -11*i**5 + 2*i**3 + 14*i - 2. Let t(l) = 2*k(l) + 11*q(l). What is the second derivative of t(p) wrt p?\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-3))\/w)**(2\/9) assuming w is positive.\nAnswer: w**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*-25*7\/910\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 45 = 60. Let s = 2 - -1. Suppose 4*g - d = -s*u, u = 3*g + g + 1. Calculate the least common multiple of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0594448848 rounded to five decimal places?\nAnswer: 0.05944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517 - 3 + 221 - 101 + 299)*(3*d + 6*d - 4*d).\nAnswer: 4665*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59\/63 + -11\/9. What is the closest to 1 in 0.01, h, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 1, a: 2, y: 1, r: 3}. What is prob of sequence ry?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -38.3. Let h = g - 37.2. Which is the nearest to h? (a) -0.5 (b) 1\/6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191 and 50806.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 1. Let y(x) = x**3 - 3*x**2 + 2*x - 4. Let o be y(3). Let b = -81 - -84. Suppose -5*n = -o*v - 1 + 4, -n - 2*v - b = 0. Determine q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*y + 13*y + 10. Let p(z) = -9*z**y - 2 - 13*z**2 + 2. Let x(a) = -a - 1. Let t(b) = -7*b - 6. Let l(r) = t(r) - 6*x(r). Determine p(l(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/(-7))\/((-12)\/(-840)*-10)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3204 + -3138. Calculate the remainder when 285 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47227*x**4 - 759*x*y - 555599724*y wrt x?\nAnswer: -188908*x**3 - 759*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51409.\nAnswer: 101, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + v - 2)*(v + 2*v**2 - v) - v**3 - v**3 - 2*v**3 + 3*v**3 - 6*v**3 + 2*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72 - -89) + -31 + -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -519474 divided by 173158?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heh when three letters picked without replacement from {d: 4, e: 3, h: 6}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 1, b: 1, a: 2, w: 1, z: 2}. What is prob of picking 2 z, 1 a, and 1 b?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (113*s + 43*s + 16*s)*(7*s - 4*s - 4*s) to c*s**2 + y*s + i and give c.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from tetateaataadtttaaag?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**3 - 549936756*q**2 + 1018431907?\nAnswer: -3*q**2 - 1099873512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35659 divided by 5.\nAnswer: 35659\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -80. What is the smallest common multiple of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195 + 197. Solve 0 = -z*w - d - 12, 3*d + 0*d = 5*w + 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4912848ml to litres.\nAnswer: 0.0004912848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13107072 and 1036402?\nAnswer: 6206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.77 - -1842.23. Let z = 1823.668 - n. Let f = z - -0.132. Round f to zero dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 - -49 - (1 + (0 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) - (0 + sqrt(5)*-1 - sqrt(5))).\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*o**3 + 369*o**3 + 172 - 172.\nAnswer: 303*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 471964276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -676*l + 2452. Let v be s(0). Are v and 2452 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13520 - 9321. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/((-3)\/1) - -385. Suppose 3*y - 3*t = 240, -l = -5*y - 0*t - t. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1770 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 247 divided by 19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -793 + 949. What is the lowest common multiple of l and 36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108029319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*y**2 + 2 - 2 - 1137*y**2.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1083 + 419125\/2166. Let l = 189 - u. Do -4 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 6 = 0, j - 13*b = -10*b - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15417 in 0.02, 5, 2, 33?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -10*g - 18*g + 132. Which is the second biggest value? (a) g (b) 2 (c) -2\/31 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48\/47 + -2309\/282. What is the common denominator of a and (-13)\/16 + 6\/(-17)*(-17)\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 22*o**2 - 2*o + 48. Let r be p(22). Suppose 17461 = 5*v - 0*v + 2*i, r*v = -3*i + 13973. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3\/5, -173?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) -4 (c) 613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 474773 + 4*f**2 - 8*f + 949392 - 474619.\nAnswer: -f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 + 8*h**2 - 4*h + 3. Let q(z) = -z**2 - z - 2. Let o be q(-2). Let r be s(o). Let x be -1 + r\/(-35) - (-24)\/14. Solve x = 2*m - 0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*g**4*i - 357*g**4*l**2 + g*i + 7*i*l**2 + 128*i wrt g?\nAnswer: -252*g**2*i - 4284*g**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Suppose r - 4 = 0, 0*z + 3*z + 3*r - 6 = 0. Let c(t) = -t - 5. Let h(d) = d + 2. Let f(w) = z*c(w) - 5*h(w). Give q(f(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1170188 (base 9) to base 6.\nAnswer: 21351042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.309, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -4 (b) 94 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2. Let f(i) = i**2 + 4*i + 4. Let r be f(-4). Let j(n) = -3*n + 0*n + r*n. Determine l(j(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197937*d**3*f - d**3 + 14*d**2 - 63*d - 5 with respect to f.\nAnswer: -197937*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2 + 56*u - 128 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1552\nAnswer: 1\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*16 + -4 + 2. Suppose 2*a + 0*a - z = 0. Let t be 2\/(6\/a) + -1. Solve 3*s + 15 = 4*q, 2*q = 2*s + t - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 0.1 (c) -5857\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -49869424576.\nAnswer: -49869424523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1325\/6 or 220?\nAnswer: 1325\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/(-2 - 2)*-1. Let b = a - 13. Is b <= 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o**6\/21 + 3*o**5\/35 - 5*o**4\/28 - o**3\/7 + o**2\/14 - 20. Solve a(d) = 0 for d.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) - (4*(sqrt(189) - sqrt(189)*-2) + sqrt(189) - sqrt(189)))\/(sqrt(7) - (sqrt(448)*-1 - sqrt(448) - sqrt(448)) - (sqrt(35)*-1)\/sqrt(5)).\nAnswer: -33*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 6.2. Let n = a + 0.199995. Round n to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 3*k**2 + 2. Determine n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s - 3. Let w = -11 - -13. Let i(d) = 3*d - 2. Determine w*v(c) - 3*i(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 15 (c) 0.8 (d) 0.1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/200 and -45\/194?\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = 3*h + 1, -h + 3*t + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94825973.\nAnswer: 11, 8620543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*j**4 + 51435*j**3 - 6878970*j**2 + 362063300*j - 5276511880.\nAnswer: -5*(j - 23)*(3*j - 358)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(4)*-5)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 3*v**2 + v - 1. Suppose 6*c + 4 = 4*c. Let w(j) = j**3 - 4*j**2 - 4*j - 5. Let n be w(4). Let a be (-1)\/(n\/(-9) + c). Give i(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - 3*t)*(0*t + 0*t - 4*t + (3 + 1 - 3)*(-t - 1 + 1)) + t + t**2 - t in the form l*t + f*t**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1972 - (3 + 6\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.611 + -0.199. Let u = 0.11 + s. Let b = 0.7004 + u. Round b to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + y**2 + 3*y**2)*(-21 + 19 + 0*y**2 + 2*y**2) + (-293*y + 293*y - 31*y**3)*(-4 - 2*y + 4) - 4*y**4 + y**4 + 2*y**4.\nAnswer: 57*y**4 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -8*x. Suppose x = -38*t + 42*t - 12. Let l(y) = 2*y**3 + 6*y**2 + 3*y. What is the units digit of l(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**2 + 3*l - 1. Let s be r(2). Let u = -22 + s. What is the least common multiple of u and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 548*m - 80010. Give z(146).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = -3*g. Let p = 2885\/18 - 161. What is the common denominator of p and (-1)\/(-9)*207\/g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.0235 rounded to one decimal place?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5 + 354*a**4 - 18844*a**3 + 257692*a**2 + 573342*a + 296450 = 0.\nAnswer: -1, 25, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -54\/59 (b) 0.1 (c) 2.44 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17196.4118 rounded to the nearest 100?\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*o**4 + o**3 + 292*o**2 + 109429*o wrt o?\nAnswer: -2160*o**2 + 6*o + 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = x - 2*x. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2004 - -30062\/15. Let o = 4 - 4. Let a be 6\/(-4)*(-3 + 5). What is the fourth smallest value in 0.5, d, o, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - a?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 200077170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 98*b**3 - 3*b**2 - b - 7. Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63505 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvv when three letters picked without replacement from {w: 3, v: 4, i: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.5, -11, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i + 7. Let o(d) be the second derivative of -11*d**3\/2 - 15*d**2\/2 - 13*d. Let l(c) = -6*o(c) - 13*v(c). Determine l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 10:35 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-4860) + 5920\/1465533\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31276733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k + 3. Let t be 1711\/28 + (-1)\/4. Let o = -61 + t. Do o and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10310 is divided by 644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p - 3. Let n = 61 + -57. Let d be 9\/n*(-120)\/(-45). Suppose 3*y - d = 5*o, 0 = 3*y + 5*o - 6. Determine b(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 4*c**2 - 5*c + 6. Let l(z) = -z**3 + z**2 - z + 1. Let b(h) = -k(h) + 5*l(h). Suppose 5 = 3*q + 2*q. Calculate b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100 is divided by 497?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*t + 339*t + 1454 + 3244 = 0. Let q(n) = 8*n + 13. Let p(l) = -8*l - 12. Let k(d) = -4*p(d) - 3*q(d). Let m(v) = -4*v - 4. Calculate t*m(x) - 4*k(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 26 = -0*k - 4*h, 3 = -k + h. Suppose -k*p + 2*q = -80, -4*p - 4*q + 45 = -3*p. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 3*f = 271, -16*f + 35 + 41 = 124*i - 61*i - 62*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 0.201 (b) 5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22090733467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 11, -3*i - i + 104 = -6*i - 10*t. Let d be (-1)\/3 + 7\/3. Solve d*y + 2 = 2*h, 2 + i = -h - y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**2 - 7929 - 7900 + 23731 - 7902.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (27 - 14) - 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00875598126 rounded to 4 dps?\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114642204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209299\/10 + 20931. What is the common denominator of x and 89\/11888?\nAnswer: 59440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 2*f**2 - 24*f - 7. Let a be n(-4). Which is smaller: a or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337\/2*k**2 - 21\/2*k**3 + 34 + 168*k = 0.\nAnswer: -2\/3, -2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122427492 and 1090.\nAnswer: 612137460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i + 7*i + 9*i + 14 to the form y + m*i and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 2044. Determine g(-30).\nAnswer: 2014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b - 1. Let l be 5*2\/(-6)*-3. Suppose 5*f + 20 + l = 0. Is 22 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-9 - (-2 + 5 + -9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976 + b - 976.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14356254 divided by 7?\nAnswer: 14356254\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 34 = -3*b + 23, -3*z = -4*b + 104. Suppose -2*d = -25*d - b. Is d greater than -7\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let j(g) = -2*g + 5. Let l(w) = 3*w - 6. Let m(p) = 6*j(p) + 5*l(p). Determine c(m(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*s - 14*s + 6*s**5 + (s**5 - 3*s**5 - 12*s**5)*(-1 - 2 + 1).\nAnswer: 34*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 133*i - 248. Give j(-40).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/19)*p**(2\/3))**32)**(-45))**(-20) assuming p is positive.\nAnswer: p**(307200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -44*p + 14. Let h be k(6). Let l be 3\/(1 - (-235)\/h). Suppose -i - s + l + 60 = 0, 0 = -5*i + 3*s + 558. Is i a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -0.69.\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9243, 7539, 4699, 723, -4389?\nAnswer: -10637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5732708 and -0.128.\nAnswer: 733786.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 31) + (-11 - -16)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*z - 504, -3*a - 2*a + 5*z + 660 = 0. Let o = -16 - -21. Suppose -o*d = -a - 22. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 679 or 415?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3b702 (base 12) to base 10\nAnswer: -82226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + 68. Let x = t - 68. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8\/(-10)*560\/(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 633065 and 45.\nAnswer: 5697585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161393181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 46.95. What is v rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:39 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = -0. Suppose 4*k + 4*i - f = 3*k, 2*i = 3*k - 17. Suppose k*u - 4*u = 0. Solve 0 = -u*n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/68904 and -65\/216108.\nAnswer: 4754376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 36*o - 37*o - 46313, -57889 = -5*w + 2*o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k + k)*(-1 + 2*k + 1) - 5*k**2 - 48*k**2 - 4*k**2.\nAnswer: -55*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*f - 48. Is (-1950)\/(-45) - (-8)\/f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 368434?\nAnswer: -5\/368434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1590 - 23*j - 3195 + 1605.\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:31 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3418\/11963)\/(10*(-6)\/63)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, o: 9}. What is prob of picking 2 o?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1043468\/14 + 44\/77 + -11 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 6:35 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 57. Sort s, 0.4, -0.06 in decreasing order.\nAnswer: 0.4, -0.06, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/5290?\nAnswer: -3\/5290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v - 5*v)*(14 + 581258*v + 50 - 581318*v).\nAnswer: 120*v**2 - 128*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08802 + 0.11802. What is the second biggest value in i, 19, -6, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 24, 30?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548257369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 813.26 - 812.76. Suppose -7 + 2 = 5*x. Which is the second smallest value? (a) 7 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b2 - -3?\nAnswer: -3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -39\/5 (b) 2 (c) 94 (d) 1 (e) -1003\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 929\/49 - (-192)\/4704.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 10*j + 3. Let p(d) be the second derivative of -d**5\/20 + d**3\/6 - 5*d**2\/2 + 2*d. Let o be p(0). Is 6 a factor of i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(343) + 0 + sqrt(343))**2 + -3 + -5.\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/2*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {g: 1, u: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7559, -7556, -7553?\nAnswer: -7550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**2 + 333315*w - 110201840 = 0.\nAnswer: -66992, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i**3 + 148*i**3 + 87*i**3 - 767*i**3 + 212*i**3 - 37*i**3.\nAnswer: -384*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 83 + 26*l**2 - 42*l - l**3 + 15*l - l**2. Let f be k(24). Solve 0 = -5*a - 4*w - 35, 0 = -a + 4*w + 6 + f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/196 and -27\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 3*a - 14*a**3 + 9*a**3.\nAnswer: a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 2*r**2 - 1035*r**3 - 4*r**2.\nAnswer: -1035*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + 4 + -3*((sqrt(1377) - ((sqrt(1377) + 0 - sqrt(1377)) + 1)) + (-3*(sqrt(1377) + (-1*sqrt(1377) - sqrt(1377))))**2))*2.\nAnswer: -74351 - 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 47*j + 17. Let c(g) = g + 13. Let z be c(10). Let k be a(z). Let q(f) = -f**3 - 5*f**2 + 5*f + 7. What is q(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 73. Suppose r + 83 = u + 3*r, -4*u - 4*r = -328. Suppose u = 4*i - i. Solve b + b + y = 5*x, 5*x = 4*b + i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.78231 and -0.2.\nAnswer: 0.356462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0762181nm in millimeters?\nAnswer: 0.0000000762181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1112 and -19\/3197?\nAnswer: 25576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 35. Let r be ((-3)\/(-4))\/((-6)\/q). Let o = -7.9 + 8. What is the closest to o in -0.4, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/60)\/(((-31)\/((-93)\/8))\/((-70)\/(-3)))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 3, -4, -1, 0.168?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 56*g**2 + 7*g - 9. Calculate x(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31274*d**4 - 56*d**2 + 67*d + 2?\nAnswer: -750576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (621*a**2 - 621*a**2 - 53*a**3)*(-44*a**2 + 2 + 45*a**2 - 8).\nAnswer: -53*a**5 + 318*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 + (-117 - -124) + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27755628 + -1448.93\nAnswer: 27754179.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 32\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c40 - 14?\nAnswer: -9c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = -5*d + 24, -2*d = 5*v - 21. Suppose 4 = v*w - 17. Solve 4 = -u + w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-27))\/(15\/(-90))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 5 (c) -5 (d) 48594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-39)\/((-56)\/(-68) - 1) - -8 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7375844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 0. Let z be ((-2)\/(-8) - p)\/1. Let x = 0.8 + 3.2. Sort 0, z, x in descending order.\nAnswer: x, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3200 and 2500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -5, 5.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170456759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, x: 1}. Give prob of picking 1 q and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 1. Let w(m) = -2*m - 65. Let h be w(-33). Let z(s) = -39*s - 3*s**3 - 55*s + 11 - 29 + 112*s. Determine h*z(f) - 18*x(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149564 is divided by 1069?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 36.043. Let a = f + 0.243. Let k = -0.39 - -0.59. What is the closest to k in 1, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 2566*b\/3 - 1282880\/9.\nAnswer: 2*(b - 160)*(b + 4009)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3247655 divided by -101?\nAnswer: -32155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -8, -28, -56, -92, -136, -188?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4072223984 to four dps.\nAnswer: 1.4072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336177, 672352, 1008527?\nAnswer: 1344702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -21. What is the highest common factor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46079 is divided by 288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -7. What is the remainder when 35 is divided by l - (-12 - (8 + -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 16. Let r be i(-7). Solve 3 = r*k - 3*l - 0, -k + 4*l = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 + 15618*s**4 - 281961*s**3 + 705252*s**2 + 62508*s - 940320 = 0. What is s?\nAnswer: -5224, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/15 - 29464*s**2\/15 + 2901878*s\/15 - 14242732\/3.\nAnswer: -2*(s - 49)**2*(s + 14830)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by -50.\nAnswer: 183\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 493303*j + 182406*j - 94583*j + 0.\nAnswer: 581126*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -0.133\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455328 and 4624?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -9*r + 5*r - 25, -2*k + 5*r + 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 66424 = 27608. Suppose -f = -19*k + 6342. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:47 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9)\/((-15)\/(125730\/(-127)))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 20*r + 11*x - 0*x + 454, 4*r + 0*r - x = -86 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 534282719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + f - 115, 4*p - 153 = -f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*t = 2*t + 26, 0 = m + 4*t - 14. What is the third derivative of 3*b**m + 3*b**6 - 2*b**2 - b**2 wrt b?\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 6*c + 6. Suppose r = 4*p - 2*r + 4, 3*r = 0. Let g be 46\/8 + p\/(-4). Determine o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 10. Let c(z) = z**3 + 16*z**2 + 4*z - 3. Let q be c(m). Let u = 177 + q. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*b + 27 = 0. Let g(a) = -2 + b - 2. Let d(x) = -4*x + 8. Let w(o) = -9*o + 17. Let l(v) = -7*d(v) + 3*w(v). What is 5*g(k) - l(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (126*q - 126*q + 15*q**3)*(-6*q + 5*q + 0*q) as y*q**3 + a*q**4 + o + t*q**2 + u*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12956184315 and 644.1.\nAnswer: 12956184959.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -475201*f - 1 + f**3 + 0*f**3 + 0*f**2 + 0*f**2 + 475202*f. Let u(o) = 64*o - 64. Determine -64*s(r) + u(r).\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24 + -4)\/(-8 + 4). Suppose 4*d - d + 3*y - 75 = 0, 0 = 4*d + 2*y - 104. Solve -v + d = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 966432 - 560530423\/580. Let t be 2 + -4 + 3168\/1595. Let u = t - k. Which is the closest to 0.03? (a) u (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13548228 is divided by 261.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 7*g**2 - 12*g - 1. What is the tens digit of x(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44524 is divided by 22253.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 + -66. Let w = -28 + c. Let m = w - -102. What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 182.9276ns?\nAnswer: 0.1829276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -4.2. Let r = p + -2.700002. Round r to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d - 34*d + 76*d + 13*d - 25*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 72*i - 700. Determine p(64).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*u - 358 - 211 = -144 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397061.\nAnswer: 7, 131, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*n**3 + 202*n**3 + 110*n**3 + 522*n**3.\nAnswer: 951*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/3)\/(17\/(1683\/(-3))))\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18509252 or -18509253?\nAnswer: -18509252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8*1\/6). Sort z, -1\/2, 2\/7 in increasing order.\nAnswer: z, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*j - 334034 = -346612 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1630)\/(-2) + 1 + (-5 - 1). Is s bigger than 809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/5)\/l))**(-2\/11)\/(l**5\/(l\/((l\/l**(-6))\/l))) assuming l is positive.\nAnswer: l**(-566\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016981 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-7))\/((-13)\/((-65)\/175)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 111*f - 67. Let c be z(55). Let t = -4 + 6. What is the common denominator of -105\/22 and (-18 + 59)*t\/c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*g**2 - 86*g - 273\/2.\nAnswer: (8*g + 7)*(20*g - 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m - 6. What is y(-6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 4*u + 2. Let m be z(-5). Let n = 112 - 121.1. Let q = n + 4.1. Put -2\/13, m, 3, q in ascending order.\nAnswer: q, m, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o**2 - 4*o**2)*(30*o**3 + 15*o**3 - 185*o**3) - 58*o**5 + 13*o**5 - 22*o**5.\nAnswer: 213*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2346374*d**3 + 1999486 wrt d?\nAnswer: -7039122*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -808 * 3597\nAnswer: -2906376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - y)*(-2 + 3 - 4)*(-2*y**2 - 3*y**2 - 10*y**2).\nAnswer: 135*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1\/10, -1\/5, -2\/31 in decreasing order.\nAnswer: 3, -2\/31, -1\/10, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 + j**4\/2 - 31*j**3\/6 + 29*j**2 - 8. Calculate l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o**3 - 12080*o**2 + 319321 wrt o?\nAnswer: -12*o**2 - 24160*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4118, 1, 4, -15, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z**2 - 6*z**2 + 5*z**2 + 9*z**2 - 10*z**2 + 16*z**2.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 447, 888, 1327, 1764?\n\"Answer: -h**2 + 444*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0, -3, 0.3, 1.29, 10, 6 in decreasing order.\nAnswer: 10, 6, 1.29, 0.3, 2\/9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -102*s**4 + 4413*s**3 - 59913*s**2 + 246888*s - 61236 = 0. Calculate s.\nAnswer: 9\/34, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wktklpc. What is prob of sequence pt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*t + 312*t + 608 = 0. Suppose -3*a + 60 + 39 = 0. Let j = a + t. Are -3\/14 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**15\/h**(2\/55)*h**(-2\/9)*h*h\/((h*(h*h**(-5))\/h)\/h) assuming h is positive.\nAnswer: h**(10762\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (-5 - (11 + (-6 - -2)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1932 = -7*n. Let r be (2\/4)\/(14\/n). Let t = -7 - r. Calculate the greatest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 24 = -9*l - 4*w, 0 = -3*l + 5*w + 106. Suppose -l = -169*u + 167*u. Suppose 13 + 5 = 3*m. What is the remainder when u is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6364405 is divided by 10315.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:30 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 7. Let x be ((-3)\/d)\/((-6)\/(-360)). Let f be -9*(-3 + 132\/x). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t + 3 - 105 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -227*s**2 - 5372*s + 1849. Calculate o(-24).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 - 3.9. Let x = 0.11 + 0.09. Let k = x - -0.8. Which is the closest to -2? (a) k (b) m (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5606079529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:14 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 826515938 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 52*v**3 - 165*v**2 - 4*v + 220 = 0. Calculate v.\nAnswer: -2, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 111*s - 14. What is the hundreds digit of p(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -171 + 54 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 873 divide 30038034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i - 13 + 9*i - 4*i.\nAnswer: 15*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74319553 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 3988*x**3 + 23822*x**3.\nAnswer: 19834*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) -1\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -1 (d) -3\/4 (e) -2 (f) 5\/4 (g) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 23*x**2 + 2645*x + 60851. Determine g(-23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -106222 (base 7) to base 2\nAnswer: -100101000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(38)\/(sqrt(2)*-4) - ((sqrt(76) - sqrt(76)*3)*5 - sqrt(76))**2).\nAnswer: -9192 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6088285*w**4 - 4709635 with respect to w.\nAnswer: -24353140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/(20\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16635, -16637, -16639?\nAnswer: -16641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11642 in 1, -5, -3, -1, 9.6, 2?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28919 or -28969?\nAnswer: -28919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 1384523*q\/4.\nAnswer: -q*(q + 1384523)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2905 (b) 0 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12011202010111 (base 3) to base 15\nAnswer: -394ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41611 + 40110 = -810*v + 16921 for v.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18 = -4*d, 2*d - t + 3*t = 6. Let l = d - 6. Let z(a) = -9*a**3 - a**2 - 2*a - 1. What is the remainder when 42 is divided by z(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 98. Suppose 0 = 5*a + h - 12, -a - 18 = 4*h - 9. Put a, k, -2, -5 in increasing order.\nAnswer: -5, -2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/8 - 4*s**2. Let g(n) = -n**2 + n. Let u(m) = -3*m**2 + m. Let a(c) = g(c) - u(c). What is k(a(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*160\/200. Which is smaller: -1.6 or l?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (33 - 34).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134878677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v**2 - 4*v + 8. Suppose 0*m - 4*m + 4 = 0. Let w(b) = b**2 + 1. Let o(q) = m*n(q) - 6*w(q). Does 5 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 76078650 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/(-1 - -13) - (-4 + -1). What is the nearest to 0.3 in -5\/3, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**7\/1260 - w**6\/240 - 2*w**5\/5 - 13*w**2. Let h(d) be the third derivative of p(d). Let s(g) = 2*g**2. Give s(h(j)).\nAnswer: 32*j**2 + 48*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o - 2*o**2 + 2 - 122*o**3 + 7*o + 133*o**3 as v + q*o + f*o**3 + j*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 6*l**3 - 1274. Let r(m) = -9*m + 7. Calculate r(v(g)).\nAnswer: -162*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-3*u - 75*u**2 + 4*u + 69*u**2) in the form d + a*u + y*u**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 171*g**2 - 3*g - 4. Let u(w) = -514*w**2 + 11*w + 15. Determine -7*j(q) - 2*u(q).\nAnswer: -169*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*k*s**2 - s**2 + 216*s with respect to k.\nAnswer: -130*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2429\/7 - 2)*(40\/15)\/4. Solve -235*r = -l*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/(w*w**(-3))))**(1\/17)*(w*w\/(w\/(w**(-11)*w)))\/w*w\/w**(1\/6) assuming w is positive.\nAnswer: w**(-959\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22481 = -36*a - 15752 + 258375. Is 105 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 671 and 687531?\nAnswer: 7562841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 7. Let s be i(10). Let f(l) = -6*l + 1. Let j(g) = 7*g. Let t(o) = s*f(o) - 2*j(o). What is the first derivative of t(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90340900 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6) + 12\/72\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15511279, 31022476, 46533673, 62044870?\nAnswer: 77556067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, e: 2, z: 2, q: 1, c: 1}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 50*y**3 - 5*y**2 + 50*y.\nAnswer: 5*y*(y - 10)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*c - 1346 + 392 = 1230. Let t(d) = -17*d + 215. What is t(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + x + 2*x)*(0 - 1 + 2)*(4*x**2 + 5*x**2 - 4*x**2).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*j**5 + 4*j - 2 wrt j?\nAnswer: -1500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*d - 1618 = -176*d - 2560 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 471504 and 471409 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from qqiiqifqq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25989004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35815 times 5\nAnswer: 179075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111923, 223873, 335823, 447773, 559723?\nAnswer: 671673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13167127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**5\/7 - 4974*o**4\/7 - 2071647*o**3\/7 - 8226996*o**2\/7 - 8207148*o\/7 = 0?\nAnswer: -827, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 434406 times -4.9?\nAnswer: -2128589.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -5\/6 (c) 1\/7 (d) 1 (e) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 25*m - 27. Let b be z(-24). Let d(g) = g**3 - 5*g**2 - 6*g - 1. Let k be d(6). Put k, 5, b in ascending order.\nAnswer: b, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:29 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 18*g**2 - 2*g + 34. Let a be w(18). Let x be 1510\/25 + (a\/5)\/1. Let h(d) = 2*d**2 - 60*d + x*d. Let z(y) = 15*y. Give z(h(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2504 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 - 3. Let b = -0.6 + g. Let c(f) = f**3 + 2*f**2 - f - 1. Let q be c(-2). Sort q, 4, b in increasing order.\nAnswer: b, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*n - p, -12*n + 10*n + 12 = 4*p. Suppose n = -4*r + 56. Calculate the highest common factor of 36 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 91\/2 (c) -2\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4573*u + 4*v = -4576*u + 16, -54 = -6*u + 3*v for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 41*y**3 - 6*y**2 - 5. Let g(u) = -40*u**3 + 5*u**2 + 4. Let t(f) = 5*g(f) + 4*z(f). Let a = 19 + -20. Is t(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 12. Let u be l(-9). Suppose -23 = -4*n - 3*j, 4*j = -0*n - u*n + 26. Let a(p) = 0 - 3*p - p**n - 3*p + 5. What is a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = x + 1904, -4*x = 2*c - 5*x - 954. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 + 2.3. Let r = x - 4.6. Sort -0.1, r, -2 in ascending order.\nAnswer: r, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - s + (-s + 2*s - 3*s)*(-4 - 2 + 3)*(-14 + 31 - 18) to the form a + p*s and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = c + 87 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -11. Determine b, given that 2\/7*b**2 + 6\/7*b + i = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 26 = 8. Let u(t) = t**3 + 6*t**2 - 2*t - 9. Let o be u(k). Is (38\/(-3))\/((-2)\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + 5. Suppose k*s = -5*m + 4, -6*s + 3*s - m + 19 = 0. Suppose s*x - 52 = 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848351232 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 26949605100 to the nearest one million.\nAnswer: 26950000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 185325 + -2?\nAnswer: 185323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 297263.13 minutes in hours?\nAnswer: 4954.3855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:17 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 7*j**2 - 6*j - 6. Let b be q(6). Let s be (b*(-2)\/3)\/2. What is the units digit of (s - 2) + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17*y - 2. Let v be f(4). Let r = 99 - v. Calculate the highest common divisor of r and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33960 divided by -8490\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from nndnnnndnnnnzn.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*j = -83*j + 4752. Let w be 9\/j*-4*4. Do w and -0.9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3056000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 1. Let g(b) = 3*b + 1. Let j be (-1)\/(-4) + (-51)\/12. Let n(t) = j*p(t) + 3*g(t). Let o(q) = 8*q - 8. Let m(h) = -6*n(h) + o(h). Give m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2377392 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -30\/29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = h + 14, 5*h + 6*z + 70 = 4*z. Is (-4068)\/h - 20\/35 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*g = -188*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(91) + sqrt(91)))\/((sqrt(42)*-5)\/sqrt(6))*-6.\nAnswer: 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 5*z - 4. Let w be -4 + -2 + 2 + -2. Let a be q(w). Let o(v) = -a*v + 0*v + 0*v. Let m(d) = -2*d**2. Give o(m(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 7. Let w(b) = -3*b + 7. Let c(z) = 6*w(z) - 7*y(z). Let x be c(-4). Let v(i) = -x*i + 11*i - 7*i. Let h(r) = 2*r. Give h(v(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let g = 39 + -44. Which is the nearest to 3? (a) g (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 370, 1512, 3418, 6088, 9522, 13720?\n\"Answer: 382*x**2 - 4*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26846707\/15076 - 30\/3769. Let u = 1766 - b. Let g = 15 + u. Is g < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 11*x + 38 - 87 + 73 as y*x + u and give u.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-2)\/((-4)\/(-1))*(-728)\/(-140).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 2*s**4 - s**4 - 2*s**4 - s**4 + 4*s**4 - 5*s**2 + 5*s**2 - s**4 + (-s + s + s**2)*(-1 - 2*s**2 + 1) - 2*s**4 - s + s.\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -383450900 to the nearest one hundred thousand.\nAnswer: -383500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:03 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2*9\/6. Let z(s) = 2. Let m(a) = a + 3. Let q(w) = 2*m(w) - 3*z(w). Give q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.3 times -14\nAnswer: -732.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6392 is divided by 552?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31791 - 12528. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97754738.\nAnswer: 2, 23, 43, 73, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 25 + 30. Let o = -37 + d. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13844 + -0.09\nAnswer: -0.22844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*j + 6 = 0, -2*q + 5*q - 68 = j. Find the common denominator of 9 and 56\/q*38\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90067, 180126, 270181, 360232, 450279, 540322?\nAnswer: 630361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*x + 215, x - 17 - 69 = -2*p. Solve p*v - 39*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 908*v + 3*v**3 - 6*v**3 - 6.\nAnswer: -3*v**3 + 908*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8433\/84370 + 2\/42185. Let c = 7 - 6. What is the third biggest value in c, g, 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -1\/2*c**2 - 9*c + 0 + 1\/6*c**3. Let g = -4 - -3. Let d(u) = -1. Determine g*x(n) + 3*d(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*b - 24*b**5 + 4*b**5 - 5*b**5 wrt b.\nAnswer: -500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 k, and 1 u when three letters picked without replacement from {u: 4, f: 1, k: 4, o: 2, i: 1, z: 3}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-8)\/40*5*-796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -891*z**2 - 169. Let p(l) = -2*l**2. Calculate m(p(n)).\nAnswer: -3564*n**4 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcdc. Give prob of sequence dccd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -4558.\nAnswer: -4557.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.043*-0.081.\nAnswer: 0.246483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 6)\/((-20)\/(-24)). Solve 2*m = -3*z + 6*z - y, -4*z + 3*m + 17 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eig when three letters picked without replacement from {o: 1, e: 3, i: 3, y: 1, d: 1, g: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 139053116, -3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57832\/225 or -256?\nAnswer: -57832\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (5 + (4 + -1 + sqrt(425) - (-1*sqrt(102)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 96*sqrt(17) + 668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 + 4*y - 7*y - y**3 + 2*y**3 - 3*y - 5. Suppose -4*j - 2*c = -3 + 17, 2 = 2*c. Is d(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519*u**2*y**2 - 550*u**2*y + 2*u*y wrt y.\nAnswer: -1038*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -124, 12, -10, 27, 2.\nAnswer: -124, -10, 0, 2, 10, 12, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1881729 and 0.2?\nAnswer: 0.0118271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, x: 4, s: 1, b: 1, o: 2, w: 2}. Give prob of picking 1 s, 2 v, and 1 x.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 2, f: 3, j: 3, w: 1, m: 2}. Give prob of picking 1 j, 1 f, and 1 m.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/7))**(-3\/35))**(-2\/15)*((l\/(l**3*l)*l)\/(l\/l**13))**(1\/16) assuming l is positive.\nAnswer: l**(6221\/9800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 23*o + 11. Solve -4*x + 12 = -4*v, -13*v - o = 3*x - 11*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 9588576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 - 4*r**2 + 8*r. Suppose -3*s + 0*x = -3*x - 12, s - 10 = 4*x. Calculate the smallest common multiple of 36 and w(s).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1730 and 4270.\nAnswer: 738710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212016 + 212015.972003662. Let s = 0.028 + x. Round s to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 7*s**2 + 5*s - 8. Suppose -6*a + 2*a + 511 = k, -4*k + 2025 = -3*a. Suppose -9*d + 294 + k = 0. Suppose -5*f + 59 - d = 0. Determine t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-2)\/(6\/9). Suppose r*f = 3*v - 31, 0*v + 5*f = -3*v + 38. Let c = -8 + v. Solve y = c*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 14. Let h(c) = 11*c - 27. Let y(b) = 6*h(b) - 13*q(b). Let k be 37\/(-4) - 2\/(-8). What is the units digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.827950398 - 0.5.\nAnswer: -49.327950398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g + 23*g - 78*g + 13*g + 5*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3 + t**2\/2 - 1. Suppose 2*p + 2 = -5*b, -2 = -p + 4*b - 3. Let s be r(p). Solve 2*a = 4 + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i + 7*i + 12*i - 6*i to u + a*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 0*y**2 - 2*y**2 + (919*y - 1844*y - 59 + 927*y)*(4 - 4 + 2*y) to the form s + u*y + n*y**2 and give u.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148 and 277036?\nAnswer: 10250332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/(-29)*(-21284 + 15 - (-1 - -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7291847.3 to the nearest one thousand.\nAnswer: -7292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/(-14) + (-19)\/133. Suppose q*f - 3*s = -11, -f - 11*s + 7*s = 16. Let r = 3 + -3.4. What is the smallest value in f, -2\/7, r, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 91 = -w + 4*w, -w = -5*a + 25. Let u(z) = -z**3 - 29*z**2 + 30*z + 2. Let m be u(w). What is the highest common factor of m and 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24031648 + 2\nAnswer: 24031650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 78225152.\nAnswer: -1\/19556288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {y: 1, q: 2, s: 2, j: 4, p: 1, e: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237.11 + -235. Let n = 0.29 + u. Let k = n - 2. Sort 0.3, -0.4, k in decreasing order.\nAnswer: k, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289239.\nAnswer: 3, 67, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*g - 31*g + 161*g**2 + 104*g.\nAnswer: 161*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uggg when four letters picked without replacement from ugnuuunununugugn.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 - 133. Let l be (-1*51\/m)\/((-3)\/(-54)). Suppose 5*a = 518 - l. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -661829*o**3 - 546379*o wrt o?\nAnswer: -3970974*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 54*f**2 - 14*f + 5300. Calculate c(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/2)))**(1\/25)\/(b*((b\/(b*b\/(b\/(b*b**(-6)))))\/b*b)\/b*((b*b**(-1))\/b*b)\/b*b))**(-46) assuming b is positive.\nAnswer: b**(5773\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = 4*l, 0 = -2*l + 17 - 7. Let k = 92 + -86. What is the least common multiple of q and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3424 + 4426. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 o when four letters picked without replacement from {o: 8, h: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15768 - -76994\/5. Let w = m + 368. Which is the third biggest value? (a) 9 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4499.5849 - -105.6949. Let y = 4374 + p. Let q = y + 20. Round q to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 - -281. Let d = 4 - 4.3. What is the second biggest value in -1\/3, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*y + 239 = -2*y, -5*r = 5*y - 395. What is the remainder when r is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*j - 205*j = -66592. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5928 is divided by 993.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-6))\/((-5)\/2). Let y(t) = 9*t - 1. Determine y(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from jqqmjqmqm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 take away 13.1779?\nAnswer: -13.3179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108203742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 + 3*m**2 - 2*m**2 + m**2 + 3*m**2 + (17*m - 8*m + 2*m)*(5*m + 0*m - 4*m))*(0 - 20 - 3).\nAnswer: -345*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Is 0 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*r - 851 = -604 + 2949 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z - 120. Let d be k(15). Solve -u + 0 = 4*n + 1, d = 4*n + 5*u - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4207, -8378, -12511, -16588, -20591, -24502?\n\"Answer: 3*q**3 + q**2 - 4195*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) -144\/11 (c) 2\/5 (d) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -2)\/((-8)\/28). Let n = 114 - 112. Suppose -n*x + 3*x = d. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 3. Let h be a(3). Suppose -3*o - 2 + 14 = h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14455\/(-420))\/(-59)*2\/(-42)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -22. Solve -j*i = -2*v + 2, v + i = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 3. Suppose -3*t - 8 = 2*a - 4*t, -5*t = -a - 22. Let d be y(a). Solve -z - 2 - d = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - (-88)\/(-20). Let z = -197\/40 - j. Let s be 2\/6*(-2 + 1). What is the biggest value in -2, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(-2\/41)*(x**(-4))**(-7\/2) assuming x is positive.\nAnswer: x**(578\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1 + (-5 + 3 + 3)*(-2 + 1 + 3) + 0 - 3 + 5 + 93 - 42 - 52)*(-5 + 3 + 2*v**4 + 4) to j*v**4 + c*v**2 + g*v**3 + b + y*v and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - ((0 - 38) + 35).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 938331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccxvvcxcvccccckck. Give prob of sequence xcx.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 9:44 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 24 = -p - 2*s, 20 = 5*s. Suppose -12*b + 96 = -p*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8149 + 15998. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4782*f - f**3 - 4785*f + 14357*f + 3*f**3 + 3*f**3 - 4790*f.\nAnswer: 5*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3097910 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20*36\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 4*(1 - 0). Let s = -19 - n. Calculate the common denominator of 81\/30 - 4\/s and 87\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2316431 (base 8) in base 4?\nAnswer: -2121310121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -19. Let j(b) = -b + 3. Let o be j(1). Suppose -o*c = -z - 0. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -26947*x**3 + 18*x**2 + 8*x + 4. What is the units digit of w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5054 is divided by 110.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 9*s**2 - 7*s - 3. Give a(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 50. Let j be a(-18). Solve 4*x = 4*f + j, 1 = -x + 4*f - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 213010884 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u - 198. Let s be c(-28). Suppose -2*t = 2 - 4. What is the smallest value in 6\/13, s, 4, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*v**2 + 64*v - 9 + 83*v**2 + 75*v - 471*v**2.\nAnswer: -464*v**2 + 139*v - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 44 = -6*r. Suppose 0 = -7*g + 22*g - 2250. Calculate the remainder when g is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284.4432s to nanoseconds.\nAnswer: 284443200000","meta":{"dup_signals":{},"source":"measurement__conversion_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: -0.0003*-15584\nAnswer: 4.6752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644653233 - 18*q - 644653233.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let o be i(1). Let t = o - 1. What are the prime factors of t + -2 + (0 - -15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*t + g**2*t**2 - 64*g*t**2 - 1653*t**2 + 4*t - 1 with respect to g.\nAnswer: 3*g**2*t + 2*g*t**2 - 64*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + o = -45962, 35887 + 889 = -4*u - 4*o. Let b = 836488\/91 + u. Let a = b + -6\/13. Are a and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382\/10 + 1\/(-5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*i + 364, -5*i = -5*m + 80 + 525. Let l = 156 + i. Suppose -218 = -2*s + l. Calculate the remainder when s is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*q - 2*n + 8, -8 = -2*q + 5*n. Let b(a) = a**3 + 3*a**2 + 7*a. Let k(v) = v**3 + 2*v**2 + 6*v. Calculate q*k(u) - 3*b(u).\nAnswer: u**3 - u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -611 (b) -2\/3 (c) -0.5 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 25143 + 25143 - 6*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1260 divided by -420\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 9*c**2 - 4*c + 30. What is b(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 401 - 22*x**3 + 43*x**3 - 59*x + 328 - 27*x**3 - 6*x with respect to x.\nAnswer: -18*x**2 - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68092897 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 9. Let d be l(-4). Let w be d\/2 + -2 + (-1)\/2. Which is smaller: 14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1089571*v**4 + v**2 + 653852.\nAnswer: 26149704*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7965, -102, -14 in increasing order.\nAnswer: -7965, -102, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240658000 rounded to the nearest one million?\nAnswer: 241000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -8 (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Suppose -5*w + 14*w - 405 = 0. Let d = w - 41. Solve -5*q - d = -2*f, c*q = -3*q - 5*f - 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2857409.\nAnswer: -5714818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5700)\/(10 - 16))\/(1\/(-376)). Round s to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f - 40 = -3*d, -5*f + 38 = 4*d. What is the remainder when 21 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -60 - 30. Solve -6*w = -w + 3*r + 9, -4*w - 5*r = o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 + h - 11*h + 2*h**2 as a + j*h + m*h**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021311171517 plus -0.2?\nAnswer: -1021311171517.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.21 - 1.08. What is the fourth smallest value in x, 1, -1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 - 104038*d**3 - 52492233*d**2 - 208720508*d - 208304372 = 0?\nAnswer: -103531, -503, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/3, -0.2, 0.1, -27.007, -3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + -4 + sqrt(33)\/sqrt(3))*2 + (sqrt(11) - (sqrt(396) + sqrt(11))*1) + 3*sqrt(176))*4)**2*-2.\nAnswer: -22528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 7:49 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -36, -120, -248, -420, -636, -896?\n\"Answer: -22*h**2 + 26*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1\/3, 5, -3\/5 in decreasing order.\nAnswer: 5, -1\/3, -3\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -421, -622, -819, -1012, -1201, -1386?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1410, 2819, 4228, 5637, 7046, 8455?\nAnswer: 9864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 5)*(0*y**2 + y**2 - 2*y**2)*(3 - 1 - 4) as h*y + t + c*y**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(136) + sqrt(136)*-3 + sqrt(136)) + sqrt(136)*-2*4)\/(-6*sqrt(48)\/sqrt(6) + sqrt(88)\/(sqrt(275) + sqrt(11))).\nAnswer: 54*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 - 458*u - 57783 = 0.\nAnswer: -103, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 37*x**2. Let q(w) = -3663*w**2. Let f(z) = 3*q(z) + 296*v(z). Let j(m) be the second derivative of -m**4\/12 + 61*m + 1. Give f(j(l)).\nAnswer: -37*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 163 = a - 56, 0 = -2*j - 2*a + 50. Let d = 10 - j. Let y be 1\/((9\/d)\/(-3)). What is the greatest common factor of y and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35\/4*l - 35\/4*l**2 + 5\/2*l**3 - 5\/2 = 0. Calculate l.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -6. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.991 + -1.291. Put 3\/58, z, 4 in ascending order.\nAnswer: z, 3\/58, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4142832 and 624?\nAnswer: 53856816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.98792 days in milliseconds?\nAnswer: 2245356288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 105 = -2*y, 4*r + 114 + 123 = 5*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 2}. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/287952 and 47\/30.\nAnswer: 1439760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/436964 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Let w(g) = -3 + 10*g**2 - 10*g**2 - 13*g**3 + v - g. What is the tens digit of w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5671.\nAnswer: 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -4*g**4\/3 + 161*g - 2. Let l(y) = y + 2. What is l(i(v))?\nAnswer: -16*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -2 + 2 - 2. Let p(k) = -k**3 - 5*k**2 + 2. Let w be p(b). Suppose 1 = 3*g + 4, -5*v = 2*g + w. Solve 0 = -5*j - v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52401 to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:11 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/48 - 1562\/(-440)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2181*c + 2180*c - 9 = -j, -25 = -2*j - 5*c for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {b: 1, w: 4, s: 2, d: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -116, -250, -444, -698?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 67?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 11. Let w be c(7). Let v be 22\/w - (-6)\/12. Solve 2*d - 4 = v*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 + -10 - (1 - 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 521*b**2 + 68120*b - 67600.\nAnswer: (b - 260)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**6\/4 - 18*b**5\/5 - 135*b**4\/8 - 25*b**3 + 542. Factor d(m).\nAnswer: -3*m**2*(m + 2)*(m + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 49*a**3\/3 + 2072*a**2 - 2384*a + 2048\/3 = 0.\nAnswer: -128, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1208987.\nAnswer: 1208990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158746142 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 239360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76.08 + 76. Let r = y - 0.02. Is -119 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3407 + 3412 - ((5 - 0 - 2) + 15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435950786 is divided by 854?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 - 652*x**2 - 48658*x + 259840 = 0. Calculate x.\nAnswer: -203, -128, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 - 5*i**3 - 143*i + 275*i - 132*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - -11. Let t = z - 47.1. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-153)\/595)\/(21\/70). Which is the nearest to -0.08? (a) 2 (b) 2\/23 (c) -1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*m + 154 = -48 + 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 divided by 9?\nAnswer: -242\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 39 = -i, 38 = -0*h - 2*h - 2*i. Suppose 0 = -w + 6*w + 95. Is w not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67317890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 minutes after 1:49 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 78\/4*(10 + 12\/(-1)). Calculate the least common multiple of 12 and ((-13)\/m)\/(3\/252).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068240421 rounded to four dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000421 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11414 - -11416. Which is the second biggest value? (a) y (b) 1 (c) 3\/19 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.8252 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5 - 39*a**4 + 102*a**3 + 1740*a**2 - 1800*a = 0.\nAnswer: -10, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*d*h*y - 9*d*h - 3*h*y + 6028*h - 6351*y with respect to y.\nAnswer: 25*d*h - 3*h - 6351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002003 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*n + 14, 3*z + 14 = -n - 3*n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282582843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-5))\/(a\/a**(-30)))\/(a**(-5)*a*a*a*a*a**(-2\/3)) assuming a is positive.\nAnswer: a**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*2\/4 + 22. Let n(k) = -k**2 + 9*k + 2. Let f be n(7). Suppose -j*q + f*q = -412. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 8 = -12*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s + 25 + 91 = -87 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6209427 by -126723.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**2 + 447470*h - 10011470045 = 0.\nAnswer: 44747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5 - -1.166961370503.\nAnswer: -6.333038629497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5032 is divided by 1449.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2010 + 2280 = -170*y + 5*y for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n - 8. Let t(i) = -128*i + 1286. Let c be t(10). Let q(o) = -5*o + 7. Calculate c*j(w) + 7*q(w).\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.930779l?\nAnswer: 9930.779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 9. Let u(t) = t**2 + 1. Determine 18*u(q) + 2*y(q).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4)*(-1)\/6*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 26 = -25*k + 26*k, 5*f - 29 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -29*n**3 - 173*n**2\/2 - 41*n + 2. Differentiate m(c) with respect to c.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2626 divided by 2?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/15 - 7*b**2\/5 - 13*b\/5 - 33. Factor s(p).\nAnswer: -(p + 1)*(p + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-6859)\/399)\/(6\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o - 35. Suppose 5*i = -4*h + 46 - 7, -2*h + 4*i = 0. What is the smallest common multiple of h and y(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -925 + 1027. Solve 105*c - h*c = 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61312 (base 9) in base 2?\nAnswer: 1001110110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 3*t + 2*t as j*t + i and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.4. Let b = -0.4 - v. Let r = b + -2. What is the smallest value in 3, r, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410 or -1504?\nAnswer: -1504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/7)*(b\/b**2)\/b)\/(b\/(b**(-8)*b)*b*b*b**(-4)) assuming b is positive.\nAnswer: b**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -111. Let w be (-937536)\/(-67077) + 4\/174. What is the greatest common factor of n and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1525245700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -205*x - 203*x + 401*x. Let r(b) be the second derivative of -b**5\/60 - b**3\/3 + 2*b. Let y(g) be the second derivative of r(g). Determine o(y(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 139*s + 312. Does 9 divide c(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -116. Let g = 255 + y. Let t = g - 65. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d. Let w(y) = 4*y**3 + 6*y - 2. Suppose 0 = -2*b - 2*s - 2*s + 16, 5*s - 15 = 0. Let r be ((-2)\/(-2))\/b*10. Give r*q(g) - w(g).\nAnswer: g**3 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 6*n + 7. Let i(v) = 6*v**3 - v**2. Let x(l) = 6*l**3 - l**2. Let w(y) = 6*i(y) - 5*x(y). Let t be w(1). What are the prime factors of b(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194 and 73526.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10574 + 10576. What is the closest to -21\/11 in k, -3, 0.5, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 != 2514\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141912 is divided by 1631?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2\/9 (b) -0.4 (c) 5 (d) 4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from ooooooooooovoooooooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-10)\/(20\/(-6)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.2615 - 0.0585. Let y = 10.2393 + z. Let d = y - -0.084. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000367988 rounded to seven decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5256734178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 1265.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 61*v - 1114. Calculate x(20).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j + 2*j - j)*(-46*j**3 - 16*j**3 + 28*j**3) to the form b*j**2 + t*j**4 + i + v*j + p*j**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769291 is divided by 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 59, 146, 257, 386?\n\"Answer: -u**3 + 21*u**2 + u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2198786\nAnswer: 8795144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -649 - -232?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2730)\/(-1638)*(64\/12)\/(-4)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**3 - 2*x**2 + 3*x - 24. Determine z(-4).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.6684 grams to milligrams.\nAnswer: 45668.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2*i**3 + 3*i)*(3*i**2 - 8*i**2 + 2*i**2 + 2*i).\nAnswer: 6*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 265*t + 1475. Calculate the remainder when 181 is divided by n(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1552*i**2 - 14595*i + 260607689?\nAnswer: -3104*i - 14595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43839138 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/3)))\/(f**(-9)*f*f)*(f*f**(7\/3))\/(f\/(f*f**(-2\/5)\/f)*f) assuming f is positive.\nAnswer: f**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38437646*l**3 + 5*l**2 - 3518*l + 19 wrt l?\nAnswer: -230625876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.67306 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**5\/20 - d**3\/6 + d**2\/2 - 20*d. Let c(k) = 6*k**3 - k**2 + 2*k - 3. Determine c(f) + 3*p(f).\nAnswer: 3*f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6310 and 3786?\nAnswer: 18930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 352\/(-128)*1*-4 + -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1792) + 0 - 6*(sqrt(1792) + sqrt(1792) + 1) - (-5 + 3*(sqrt(1792) + sqrt(1792)*-1)))**2 + 5)*-4.\nAnswer: -867352 + 1408*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:59 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(28 - 12 - 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Suppose -t - h*t = 0. Solve t = 2*k + k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -98*m + 9171. Give l(94).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 13. Let t = 79 - b. Suppose t*o = 16 + 42. Does 29 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802.86349 rounded to 0 decimal places?\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -0.21. Let l = 2318\/2655 + -192\/295. Put 0.2, f, l, -5 in decreasing order.\nAnswer: l, 0.2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 902526640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-1 - -5) + -3. Suppose -2*x = -3*q - 94, 5*q - 216 = -5*x + u*q. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4701 + 1359 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -953, -1914, -2889, -3872, -4857, -5838?\n\"Answer: s**3 - 13*s**2 - 929*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*v - 1 - 17*v - 32*v - 7 + 84*v in the form r + c*v and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 5*w - 10. Suppose z + 7 = 15. Let d be k(z). Find the third derivative of -d*p**2 + 0*p**5 + p**5 + 11*p**2 + 0*p**5 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f**(3\/5))\/f)\/f))**1\/((f*f**6)\/(f*f*f**(-32)*f*f)) assuming f is positive.\nAnswer: f**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 - 132. Suppose d = 7*p - 29 + 120. Let u be (-2)\/p + (250\/(-13))\/(-5). What is the greatest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9724 - 9749. Put -4, j, 7 in descending order.\nAnswer: 7, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1099931, -2199873, -3299821, -4399775, -5499735?\n\"Answer: -3*h**2 - 1099933*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Suppose 24 = 4*p - 3*a, 2*p - a - 22 = 3*a. Let h(r) = 3*r + 26*r**2 - 36*r**2 - p*r. Give h(d(w)).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -929 + 1445. List the prime factors of k.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439544 is divided by 18314.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1100011001110100011 (base 2) to base 4\nAnswer: -1203032203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-8 + 4)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**2\/2 + 2*o - 779. Let s(a) = 2*a + 3. Let u(x) = x**2 - 6. Let y be u(-3). What is y*r(n) - 2*s(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12231 is divided by 1109.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + o = -502, -3*o = -4*x + 2*o + 673. What is the third derivative of -328*v + 111*v**2 + x*v - 155*v**3 + 161*v wrt v?\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2100)\/750*110\/(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 3*l**2 - 6*l - 37. Determine n(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/21)\/a*a\/a**2*(a*a*a**26)**(-3\/20) assuming a is positive.\nAnswer: a**(-661\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30877.3 and -0.601?\nAnswer: 18557.2573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 7 + 4 - d**3 - 3*d**2 + d**2 + 5*d**2 to the form p*d + c + m*d**2 + g*d**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 193463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 5*q**2 - 8*q + 9. Suppose -2*j + 1 = -2*s - 5, 3*j - 5*s = 3. Let h be y(j). Suppose 11*z = 8*z + h. Is z a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 221.296698ns?\nAnswer: 0.000000000002561304375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 948*s + 109447. Determine j(-104).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/448 and -13\/384.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 969671\/264 - 3673. Suppose -2*i + 7*i = 0. Are v and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -13. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2 - -1)*(-428)\/(-321).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 95*u + 10. Let p(j) = 19*j + 2. Determine 2*o(t) - 11*p(t).\nAnswer: -19*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-10)*12\/(-2). Let t(p) = m - 1 + 7 + p. Calculate the least common multiple of 6 and t(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - s**2 - 2*s + 4. Let w(j) = -j + 0 - 2 + 3. Let k = 651 + -637. Suppose -40*m + k = -26*m. What is m*u(i) - 4*w(i)?\nAnswer: 2*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (0 + -6 - (8 - 4)) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125201 (base 7) to base 15.\nAnswer: 6e18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1549902 and 2298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.29004 + 230.\nAnswer: 228.70996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2 - 915173658*w + 69795235358091747 = 0?\nAnswer: 152528943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 49*(1273\/38)\/(-67)*8\/238\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 - -142. Suppose 0 = -4*r + l + 379, w*r = 3*l + 439 + 33. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 962599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhe. What is prob of sequence he?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 16. Suppose 0 = -5*m - 2*t - 17, -t - 3*t - 4 = 0. Let g be m + -3*(-1 + 0). Calculate s(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 27. Suppose 0*r = -w*r - 8, -3*t + 4*r = -85. Suppose 5*n - t = 67. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173.4597 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -440, -751, -1124, -1559?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 - 0\/(3\/(-1)). Let u be (-16)\/(-6)*3\/2. Suppose 4 = u*f - o. Solve -b = -f*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 294, 1\/5, 2\/9, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218913 and 687285?\nAnswer: 29553255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16530 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (46\/8)\/((-3)\/12). Let g = 17 - k. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {m: 1, o: 1, i: 1, g: 1, p: 2, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337184400 rounded to the nearest 100000?\nAnswer: 337200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*p + 8, -7*p + 2*p - 5*b + 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295030046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -303721490 to the nearest 100000.\nAnswer: -303700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 6*b**2 - 6*b + 6. Let i be q(-7). Put -5, i, -2, 1 in decreasing order.\nAnswer: 1, i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-6 - -7)) + 44 + 2 + -26 + 30.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2872 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 11. Suppose 0 = -3*n + i*n - 328. Suppose 98 + n = 3*l. What is the greatest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006607706 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -6*p. Suppose -4*d = 4*i + 24, -p*d = -4*d - 4*i - 9. Let m(o) = -886 + 440 + o + 447 - 5*o. Let h(x) = 9*x - 2. Determine d*m(q) - 2*h(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-161 - (2 + -39 + 16)) + 35\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 13. Let o be j(14). Let p = o + 3. Let l(k) = -k**2 + 6*k - 3. Let q be l(2). Solve -q*t - 3 = -p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20 - ((-3)\/(-3) - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43964783?\nAnswer: 29, 1516027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 765, 262, -4, 0, -5, 3 in increasing order.\nAnswer: -5, -4, -3, 0, 3, 262, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(1200) + sqrt(12)) + 3.\nAnswer: sqrt(19)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1033.961683 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzjjzzzzzjutjtztz. What is prob of sequence tj?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 32*x - 7. Let d be g(15). Let m = 422 + -402. Solve 0 = -5*q + m, 5*q - d = 4*j - j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, f: 3, x: 4}. What is prob of sequence ex?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/4 + 1 + (-6)\/12. Calculate the highest common divisor of x and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 33. Let h be c\/(-8) + 9\/6 + -1. Suppose -20 = -9*z + h*z. Put z, 2, 4 in ascending order.\nAnswer: 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/3 + 119506*u**2\/3 - 2552150*u + 2512314 = 0.\nAnswer: -59817, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1872) + (-2 + sqrt(1872) - sqrt(1872))) + (-2*sqrt(1872))**2 + -4)*-4.\nAnswer: -29944 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68 and -8.12.\nAnswer: 552.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*w, -3*w + 14 = -3*o + 26. Solve o*c = 18*c - 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5832 - 5828. Put -2, -3\/85, q, -0.5 in increasing order.\nAnswer: -2, -0.5, -3\/85, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 535500 and 1400?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 2*v - 5*v + 3*v + 3*v + 4. What is the tens digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550, -585, -644, -727, -834?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256939, 513897, 770855, 1027813, 1284771, 1541729?\n\"Answer: 256958*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -112747016.244 from -999.\nAnswer: 112746017.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*r - 110*r = 2*a + 16 + 13, -35 + 30 = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*(-16)\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 36*k**2 - 9*k + 14. Suppose 0 = -4*w - 3*w + 21. What is the hundreds digit of n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/47610 and -83\/20.\nAnswer: 95220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.4 + 11.9. What is the nearest to 0.1 in -3\/10, -2\/5, x?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-29)\/2)\/(-1) + (-8)\/16. Let x(a) = a**2 - 14*a + 11. Let p be x(d). Find the second derivative of 0 - p*y + 5 - 29*y**3 - 5 wrt y.\nAnswer: -174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(468) - 3*(sqrt(468) + sqrt(468)*-1) - (3 + 1*sqrt(468)) - (0 + sqrt(468)*2 - (-2 + sqrt(468)*4 - sqrt(468)))))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0 + 31 = 2*q, u - q = 17. What is the remainder when 116 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*a + 3*a + a**2 - 23*a + 1)*(a - 2*a**3 - a).\nAnswer: -2*a**5 + 94*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.527 - 1.4.\nAnswer: -0.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8312, 32958, 74024, 131504, 205392?\n\"Answer: -p**3 + 8216*p**2 + 5*p + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 20*v**2 + 21*v + 1. Let s be g(21). Which is the nearest to -2? (a) 2\/9 (b) s (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 9*q**2 + 3*q - 25. Calculate the remainder when 197 is divided by o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (5 + -8)) + -8 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, g: 11}. Give prob of picking 3 g.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103467 - d - 4*d - d + 3*d.\nAnswer: -3*d + 103467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020202002 (base 3) to base 8.\nAnswer: 243300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from {j: 5, m: 5, k: 1, q: 1, l: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-30) - (-5 - 24\/(-5))) + (-194)\/(-20)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 117614 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1.5 (c) 1\/12 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -0.08. Let z = j - -0.23. Let w = 0.1 + z. Is w at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204479396 and 77?\nAnswer: 1431355772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 60. Let o(u) = u + 5. What is o(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/a**(-4\/9)*a))\/(a*a*a**18*a)*(a**(2\/7)*a)\/(a\/(a*a**(-15\/7))) assuming a is positive.\nAnswer: a**(-1594\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 42*p - 15 = 0, -3*o + p = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - 2.2. Let l = m + 2.95. Suppose 2*n + n + 3 = 0. What is the third smallest value in l, -4, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1972 and 0.14.\nAnswer: 1972.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:33 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4550)\/25 + 10*(-4)\/(-8). Let r = 125 + -247. Let q = r - u. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.05 - -0.05. Which is the biggest value? (a) w (b) -3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oozz when four letters picked without replacement from zozzozoz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 9 = -4*o, 14*o - 15*o - 34 = -5*j + 11*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -28. Let d(z) = z**3 + 17*z**2 - z - 15. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155238833.\nAnswer: 41, 277, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 5*x + 4. Let r be z(-4). Suppose 4*b + f = 6*f + 3, -4*b + 11 = 3*f. Let p be 3\/b*2*1. Solve -a + 5*j + 20 = r, -p*j = -2*j + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + (-1534)\/(-2) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-10))\/(1\/5)*2\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + l + 0)*(-l**3 - l**3 + l**3) - 158*l**4 - 4*l**2 + 5*l**2 + 159*l**4 + (-2*l - 3 + 3)*(-2*l**3 - 4*l + 4*l).\nAnswer: 4*l**4 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0 - (-41)\/(2009\/70). What is the nearest to 11 in 1, m, 2\/13, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 12 = 0. Let v = n + -6. Solve m + 4*m - 20 = v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Let q(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - k**3\/3 + 5*k**2\/2 + 5*k. Calculate q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 1\/2 (c) -4 (d) -1.4 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135263 (base 8) to base 6.\nAnswer: -1005135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 2, -0.4, 281?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -425989437*m**3 - 342400*m**2 - 53*m wrt m?\nAnswer: -2555936622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/17 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -5, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 + 6*w + 13. Let x(a) = -3*a**2 - 3*a - 6. Let t(f) = 2*o(f) + 5*x(f). Give t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*b - 2*i - 8, 4*b + 3*i = -17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 544157668 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20219 + 116316. Suppose j = -2*f - 65903. Round f to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -16\/3*j**3 - 4\/5*j**5 + 2*j - 2 - 3\/2*j**2 - 15\/4*j**4. Determine y so that s(y) = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 = -5*j - 10, 0 = n - 3*j - 6. Suppose -9 = -n*d - d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44997, -89994, -134991?\nAnswer: -179988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -65\/12*f**4 - 1 + 0*f**3 + 24*f + 0*f**2 - 11\/4*f**5. Find the third derivative of l(o) wrt o.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.94 - 4. Which is the second biggest value? (a) 0.3 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/84 and 37\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 13) to base 12\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3292 (base 10) to base 9.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j**2 + 24*j - 46. Does 31 divide c(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (3 + 4 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 13*k**4\/24 - k**3 - k**2. Suppose -139*x + 60 = -119*x. What is the units digit of c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -14\/65 (c) -2\/11 (d) -2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -159017, -158922, -158827?\n\"Answer: 95*g - 159112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l - 7. Let m(y) = y + 6. What is the remainder when b(6) is divided by m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(30\/(-11)) + -2)\/(370\/(-75) + 5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0 (b) -65 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 174863973.09 and -0.035.\nAnswer: 174863973.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(36)\/sqrt(2) + sqrt(18) - 5*sqrt(72))*4*-5*5*5)**2.\nAnswer: 882000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + 3*f + 1. Let o be r(-4). Let c = -20 + o. What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1325 - 1.5725. Put -0.4, -4\/7, -1, c in descending order.\nAnswer: -0.4, c, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.396821 millilitres in litres?\nAnswer: 0.001396821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let m(g) = -2*g**3 + g**2 - 1. Let r be m(-1). Let b(i) = -r*i - 9 + 7*i + 2*i**2 + 12 - 2. Let c(l) = -4*l**3 + l**2 - 1. Let h be c(1). Calculate b(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, c: 3, z: 1, r: 1, n: 4}. What is prob of sequence uc?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)\/v**32)\/(v\/v**(-15)*v*v*v**21))**47 assuming v is positive.\nAnswer: v**(-10105\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9444 divided by 6.\nAnswer: -1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 2*f**5 - 2*f**5 + (14*f**3 - 21*f**3 + 20*f**3)*(-7*f**2 + 7*f**2 - 1 - 2*f**2).\nAnswer: -24*f**5 - 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 18 - 3. What is the third derivative of -w*x**4 + 20*x**4 + x**4 - 5*x**2 wrt x?\nAnswer: 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 5. Suppose 36*v = 40*v - a. What is the first derivative of -5*j**3 - 137*j**v + 41 + 137*j**2 wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -11418074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 6103608 and 6103610 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 13902 + 89923. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 8:29 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 5. Let j be s(-5). Suppose 2*d + 2 = -j*d. Is (30\/(-2) - -2)*d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.2468 centuries to months.\nAnswer: 17096.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -10, 5, -1, -5, -2431 in ascending order.\nAnswer: -2431, -10, -5, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 3:17 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {m: 2, c: 1, e: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11716184 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: Let l = 60\/13 + -339\/65. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/8*(-4)\/6*-1. Let y = 0 - -2. Sort 4, y, a in decreasing order.\nAnswer: 4, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, 7593 in decreasing order.\nAnswer: 7593, 19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 482 - 486. What is the nearest to 0.2 in 3, -2\/231, v?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1829*u + 1882*u - 2226. Suppose -2*b - 3*b = -210. What is the greatest common divisor of b and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4473 (base 8) to base 16\nAnswer: -93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2))**(3\/20))**49*(r**9\/r*r*r*r**(2\/3)*r)\/(r**4*r*r**(3\/5)*r) assuming r is positive.\nAnswer: r**(1627\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10781\/36 - -1185\/4. Find the common denominator of -23\/25 and o.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjkkjjkjjjjwjjj. What is prob of sequence kk?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 2. Let y be d(-2). Let b be 6*((-4)\/7)\/((-12)\/y). Solve -b = -p - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/18 + 5\/9. Let w be (0 - -1)*(-1)\/(-3). What is the closest to k in -2, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15694 = 2*a - 3*u, 5*a - 4*u - 23543 = 2*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 43*p - p - 6*p - 29*p - 17*p**2 - 13*p.\nAnswer: -17*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:28 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 5*g**2 + 5*g. Let a(v) = -v**3 + 6*v**2 - 6*v. Calculate -5*a(s) - 6*o(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1486880 + 2040640 = 74*j - 614778. What are the prime factors of j?\nAnswer: 3, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4062 and 13540.\nAnswer: 40620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x - 5*x + 7*x + (102*x - 147*x + 85*x)*(-2 + 0 + 0) as l + v*x and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (34 - (1 + 7))) + -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*t = -16, -f + 0 = -4*t - 17. Suppose 4*b = 5*n - f, b + 0 = n - 1. Solve 3*i + 2*r = -0*i - 6, b = -4*i - 4*r - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 - -0.1. Let r = 2.3773 + -2.7773. Put h, r, -0.2 in increasing order.\nAnswer: r, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*j - 18, k - j = 4*j + 3. Solve -k = -0*o + 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 859459987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/30 + 98\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(39) + (-2*sqrt(39) - sqrt(39))*4))\/(sqrt(147) + 2*(sqrt(147)*2 + sqrt(147)) - sqrt(147) - sqrt(147)).\nAnswer: 22*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 12*n + 636 = -4*i, -2*i - 318 = -3*n. Let j = 444 + i. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-851)\/333)\/((-2)\/36*2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73\/2 - -369\/10. Let n = -47 - -46. Which is the closest to h? (a) n (b) 2\/13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7418 divided by -52?\nAnswer: -3709\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51289631 to the nearest integer?\nAnswer: 7162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 6*u**2 - 16*u + 8. Let a(v) = -v. Let z be a(0). Suppose z = 5*l - l - 32. Calculate the least common multiple of p(8) and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 4. Suppose -6 = -18*d + 20*d. Let i(f) = -1. Determine d*i(v) - z(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 13*w - 6. Let j be d(7). Suppose j = x - 5. Suppose 2*r - 6 = -4*m, 4 = -m - r + 7. Solve 2*f + x = 2*s - 0, m = -s - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*c + 3*c. Suppose 4*z + c = 14. Is 1 + -4 + z + 16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n**3 - 2*n**2 - 10*n + 20. Suppose 4*m + 4 = 16. Is 12 a factor of h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 2. Let a(m) = -2 - m**2 - 2 + 2 + 3. Give 4*a(n) - 3*x(n).\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 86\/5, 50, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 2. Let g = -8.00000084 + j. What is g rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217428 (base 9) to base 14\nAnswer: -355ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 7:12 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (41 - ((-37 - -63) + -31)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*t + 5*w, 30 = 5*t - 14*w + 9*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -123319 (base 10) to base 8\nAnswer: -360667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 91*r - 1913, -170*r + 174*r = h + 86 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -4 + -10 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7856*i + 125425. Determine v(16).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000373 to six decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1231*h - 3693. Let t be d(-3). Let p = -2 - 0. What is the nearest to p in -0.4, 1, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -149110.8366.\nAnswer: -149051.8366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 - 5*b**3 - 9*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 897445823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1903 + -1903. Let u = -2.4 - -2. What is the closest to -1 in f, u, -12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+0.35101\nAnswer: 0.25101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1299486 and 1539.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2*h + 3 + h - 2*h - 4*h**2 + 6*h**2. Find the first derivative of c(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-205)\/45 - 8666\/18. Let o = s - -485. Solve -2*l = -f + 11, f - o*l = 36 - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69829663549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 24*l**2 - 2*l - 48. What is v(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.65294 years in millennia?\nAnswer: 0.05665294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415941246 and 5796.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5019802 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 15250?\nAnswer: 21\/7625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57770.18 litres in millilitres?\nAnswer: 57770180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from kkblkubououp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125889498, 125889500, 125889502, 125889504, 125889506?\nAnswer: 125889508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 21, 34, 63, 114, 193, 306?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 1040 = q. Let x be 6\/(-4) - (-169)\/q. Which is the fourth smallest value? (a) x (b) -3 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12133 (base 4) to base 12.\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 5*f**2 - f - 8. Let k be n(4). Suppose 36 = -4*b - 64. Let p = b + k. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -193, -403, -613, -823?\n\"Answer: -210*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18618296.\nAnswer: 2, 263, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 14 = -4*u. Let t be -13*1\/(-3) - 62\/186. Suppose o - 8 = -t*f, -7*o + 40 = -2*o - 4*f. Solve -u - o = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 219197190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 468248 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75176*b**2 + 32 + 0*b + 4*b + 75172*b**2)*(-4*b**3 - b**3 + 3*b**3).\nAnswer: 8*b**5 - 8*b**4 - 64*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*r)\/((r*r**8)\/r)*(r\/r**(-7))**(-24) assuming r is positive.\nAnswer: r**(-209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + 117 + -127\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93346 and 33944?\nAnswer: 373384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -68, -151, -274, -443?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (6 - (7 + -6)) - (-5 + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2845, -2844, -2833, -2806, -2757, -2680?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 78. Let s(j) = -2*j**3 + 3*j**2 - 2*j - 3. Let a be s(x). Suppose -754 - 216 = -5*m - r, 760 = a*m + 4*r. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t**3 - 3123*t**2 + 254865*t + 128214 = 0.\nAnswer: -1\/2, 102, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, 5, -1.\nAnswer: -404, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338098215?\nAnswer: 5, 653, 409831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 7062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6.186*-0.5\nAnswer: -3.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(245) + -4)*-5 - 4*(-2*sqrt(245) + 3))**2*5*6*-4.\nAnswer: -284880 - 65520*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4\/7 + 6*u**3 - 6*u**2\/7 - 122*u\/7 + 12 = 0.\nAnswer: -21, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - 0. Sort -3, -5, r.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(v**2 - v**2 - v**2) - 638*v**2 + 489*v**2 + 31 - 18.\nAnswer: -148*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -619*y + 160314. Calculate l(259).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -139 + 2?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(-3*sqrt(100) - sqrt(100)))\/sqrt(5)*-4)\/((6*sqrt(180)\/sqrt(3))\/(sqrt(12)\/sqrt(2)*-2)))**2.\nAnswer: 8192\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-9) - 8\/(-18). Suppose -5*k + 465 = 5*j, j - q = -6. Is k at least as big as 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111301 + 11021?\nAnswer: 1122322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (4 + -1))\/(21\/(-1813)). What is the greatest common factor of y and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {j: 1, z: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1397 + -1393. Suppose -2*x + 10 = -4*g, -4*x + 20 = -3*g + 2*g. Let w be (-2)\/(-5) - (-123)\/x. Solve -h = n*h + w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-14)\/(-1008)*12*(-36)\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, -88, 0.5, -2.5, 1988, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -13, -3, -839, 16 in increasing order.\nAnswer: -839, -35, -13, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22750*u**3 - 2678*u**2 - 21326*u**3 + 42671*u**3 wrt u?\nAnswer: -8430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 69*v - 59. Let n be c(-11). Let x = -678 - n. Calculate the remainder when x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -7\/5, -1, 0 in ascending order.\nAnswer: -7\/5, -1, -0.4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256809.\nAnswer: 3, 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*f + 93 = 0, -2*a - 4*f + 0*f = -44. Calculate the highest common factor of 182 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 + 0*h**2 + 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 703051381 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 415154?\nAnswer: 415203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e41 - -58?\nAnswer: -1dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*s + 15*s - 19*s)*(-4 + 2 + 1) - 12*s + 5*s + 14*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1569 litres in millilitres?\nAnswer: 26156.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 905257570*t**4 + 8*t + 30058952.\nAnswer: 10863090840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8550 and 836?\nAnswer: 188100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282951945?\nAnswer: 3, 5, 6287821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4 + 173*f**3 - 6*f**2 + 84276*f wrt f?\nAnswer: -36*f**2 + 1038*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*f - 18. What are the prime factors of (4\/f)\/(3\/246)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 - -114 - (-3 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 16*s + 10. Let t be b(7). Calculate the highest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 2 - 2 + (-2*f**2 + 2*f**3 + 2*f**2)*(12*f**2 - 29 + 29).\nAnswer: 26*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v = 182 + 778 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:39 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3394*f**3 + 102*f - 50 wrt f.\nAnswer: -20364*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56586264 divided by 673646.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 5551.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 27. Let j(a) = 4*a**2 + 25*a + 63. Let v be j(-3). Calculate the highest common divisor of v and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + t**2 + 47 - 1335*t - 96 + 3*t**2 + 47.\nAnswer: -3*t**2 - 1335*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29095 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5, -4*m - s - 1 = -6. Suppose -2*w + 5*i = -m*w - 5, -3*i - 22 = -5*w. Solve -2*f + w*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-20 - -37) + (-11 - -9 - (14 - 1)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 2*n - 0*n. Suppose 5*z = 5*t - n, -2*t + t + 8 = 4*z. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 9*k - 3. Let u be g(-7). Calculate the greatest common divisor of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5243643 millennia to years.\nAnswer: 524.3643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.696 * -2.4.\nAnswer: -1.6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (742\/10 - 1\/5). Let p = i - 70. Solve -16 - 9 = p*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 20*y + 32. Let t(o) = 7*o + 11. Let l = -635 - -93. Let f = -536 - l. Calculate f*a(w) - 17*t(w).\nAnswer: w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)*q**(5\/3)*q*q*q**(3\/16)\/(q**(-2\/23)\/q) assuming q is positive.\nAnswer: q**(1039\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39477123, 157908483, 355294083, 631633923?\nAnswer: 986928003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 2\/45*s**6 + 0 + 0*s - 1\/45*s**5 + 0*s**3 - 1\/126*s**7 + 0*s**4 - 2*s**2 - 1\/144*s**8. What is a in y(a) = 0?\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1693 bigger than -1706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887331.6 nanograms to kilograms.\nAnswer: 0.0000008873316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**7\/840 - q**5\/120 + 2*q**3\/3 + 1. Let b(o) be the third derivative of u(o). What is the second derivative of b(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -705*b**4 + 359*b**3 + 12288.\nAnswer: -2820*b**3 + 1077*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g + 374. Calculate k(34).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262987 and 3681?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 243 - 189 = -7*g, 0 = 5*g - 5*v + 30 + 15 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18379 > -18408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/3 (b) -34 (c) -136 (d) -4 (e) 1\/5 (f) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4387*a**2 + 21940*a + 4. Give y(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801822?\nAnswer: 2, 11, 81901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -8. What is the remainder when 17 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 13. What is p(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 29. Which is the nearest to 0? (a) h (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isyiziiye. Give prob of picking 1 y and 1 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27530 - -1101121\/40. What is the common denominator of b and (-1932)\/(-72)*2\/70?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 4. Let q = n + 21. What is the highest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 5*m**4\/3 + 5*m**3 + 11*m**2 - 3*m - 2. What is the tens digit of b(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/3440*8 + 2498\/86?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2066428.\nAnswer: 2, 7, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*f - 14738, f + 3*f - 11803 = -5*p. Is f\/63 + -1 - (-2)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13\/9, 5, -5, 14, 0, -0.3, 0.012?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703 and 31968.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 + 138*r**2 - 34173*r\/5 - 108756\/5.\nAnswer: -(r - 636)*(r - 57)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4000, -3.\nAnswer: -3, 0, 4000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*x - 26 = -10*x, 12 = c + 4*x. Let y(g) be the third derivative of 0*g + 1\/24*g**4 + 0 - 7\/6*g**3 + g**2. What is y(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -425578 rounded to the nearest 1000?\nAnswer: -426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*o - 6 = -2*s, 2*o = 2*s - 24. Calculate the remainder when 76 + 0 - (-7 + s) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7)*p)\/p)**34\/(p\/p**1)**15 assuming p is positive.\nAnswer: p**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 17, 16, 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*n**3 + 10*n**2 + 3589*n wrt n?\nAnswer: 102*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 175 in 0, -1\/3, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/18504 and 79\/90?\nAnswer: 92520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*n = -65, 3*n - 2*n = -5*m - 128. Is (3 + m)*(-1)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2134*l**4 + 1477*l - 728*l**4 - 3020*l wrt l?\nAnswer: 16872*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3524349 to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2604966 and 462.\nAnswer: 28654626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - o = 179, -o + 0*o = d - 51. What is the highest common factor of 115 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12390 divided by -2065?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*r + 42, 49 = 5*s - 3*r - 11. Let z(g) = 3*g**2 - 12*g - 2. Is 36 a factor of z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) 4 (d) 6 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*h - 33. Suppose 62*m - 4355 = 1101. What is the remainder when m is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from wcccmccwcwcpcwwp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 + 2*u - 1825*u**2 - u + 1824*u**2 + 3407 - 4561 in the form d*u + p*u**2 + y*u**3 + m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - 17\/((-68)\/48). What are the prime factors of (v\/((-50)\/4))\/(12\/(-13740))?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 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: Calculate 0.061*-0.10102.\nAnswer: -0.00616222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 48*v**2 + 7*v + 8. Let q(s) = -49*s**2 - 9*s - 10. Let x(t) = -5*a(t) - 4*q(t). Let z(u) = 5*u. What is x(z(g))?\nAnswer: -1100*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o = -44*o. Let q(a) = -1 - 9*a**2 + o + 1 + 14*a**2. Let t(m) = -m + 23. Calculate t(q(h)).\nAnswer: -5*h**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 8. Let d be c(3). Sort -3, -12, 0, d in increasing order.\nAnswer: -12, d, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-200)\/10))\/(89\/(-712))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40\/3, -0.34, -2\/7 in increasing order.\nAnswer: -0.34, -2\/7, 40\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(0 + 2\/3). Suppose -2*s - 3*w = c*s - 30, 2*w = 5*s - 49. Calculate the remainder when (-17)\/2*(-14 - -12) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012747 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239041457 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 4. Let r be 66\/c + 3\/(-1). Let z = 94 + -95. What is the closest to 2 in 4, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 + 6*s + 3. Let j(v) = -v**3 + 7*v**2 + 6*v + 4. Suppose 125*g - 136*g = -55. Let y(w) = g*j(w) - 6*a(w). Determine y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*i - 5 = -209*i, 0 = 12*c - 2*i - 58. Let f be 224\/6 - (-3)\/(-9). Suppose -5*p + 12 = 3*b + f, -3*p - 15 = b. Sort 0, c, p, -27 in descending order.\nAnswer: c, 0, p, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:51 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1162*k.\nAnswer: 1162*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(567)*2 + sqrt(567))**2*-6.\nAnswer: -30613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*j - 5*y, y = -5*j - 3*y + 19. Let o(a) = 5*a + 7*a + j*a - 14*a. Let g(s) = 96*s. What is o(g(u))?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**2)**24\/(k*k**1\/k)**(1\/70))**(-6\/11))**42 assuming k is positive.\nAnswer: k**(-90702\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1028, -4, 2 in descending order.\nAnswer: 1028, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -3) + (39 - -1). Let t = g - 17. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*s**4 + 36106*s**3 + 1492718 wrt s?\nAnswer: 28*s**3 + 108318*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12850*d - 51567. Give i(4).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*g, -1 + 15 = 2*y + 4*g. Let c be (-4 - -16)*4\/6. Let a = y - c. Solve -a*i + 5 = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -944908.2 and 0.214.\nAnswer: -944907.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 2 - 2)*(-3*b - 7 + 7) + (5009 - 5009 - 143*b)*(-2 + 1 + 0) in the form d*b + h and give d.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*i + 80 = -u, -4 = -2*i. Let r = -27 + u. Calculate the smallest common multiple of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, -0.4, 0, -0.1, -0.001?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -50, -50, -16, 64, 202, 410, 700?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.932 - 22. Let x = -0.032 + m. Let j = -0.03 + -3.97. Which is the closest to 0.2? (a) x (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 715521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23412552 (base 6) to base 12.\nAnswer: -2b4158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35715 - 4?\nAnswer: 35711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*f**4 - 992*f**3 + 2404*f**2 + 11160*f + 8100 = 0. Calculate f.\nAnswer: -5\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = 12. Suppose -x + 2*l + 3 = 0, -8*l - 35 = -n*x - 3*l. Let w(i) = -i**3 + x*i - 6*i**2 - 2*i - 11 + 5*i**2 - 8*i**2. Calculate w(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7479413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -90, -574, -1896, -4476, -8734, -15090?\n\"Answer: -70*u**3 + u**2 + 3*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20505 and 445.\nAnswer: 1824945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-5) - (-13428)\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1280 - 523. Is t a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)**(6\/5))**(3\/29)\/((t**(-2))**2)**(-17) assuming t is positive.\nAnswer: t**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 28 = 3*z, 5*b + 428 = 453 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 4\/5, -0.05, 2\/13 in descending order.\nAnswer: 4\/5, 2\/13, 0.09, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -85, -78, -69, -58?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 1\/24*a**4 + 0*a - 8*a**2 + 0 - a**3. Let s be q(6). Which is bigger: s or -9\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/4*(-4)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g - 23979*g**2 + 4*g**4 - 2*g**5 - 3*g + 23975*g**2.\nAnswer: -2*g*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8828329 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*r, -r + 2*r + 184 = 3*k. Let i be (-16)\/112 + ((-102)\/21 - 0). Let z be (2\/i)\/(-1 - (-56)\/k). Solve 0 = -f + z*f - 4*b + 20, f = -b - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -1.4. Let r = -0.94 + q. Let y = 62.31 + -67.31. What is the third smallest value in -1\/3, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38632 + -27545. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28947, 56989, 84125, 110355, 135679, 160097?\nAnswer: 183609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -113. Let q(a) = -11*a**2 + 5*a. Let c(y) = -28*y**2 + 12*y. Let p(l) = s*c(l) + 12*q(l). Let w(z) = -4*z**2. Give w(p(b)).\nAnswer: -256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103512612 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-4)\/(-17))\/(32232\/1156)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 458207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 11 = k, 56*k - 55*k - 29 = 5*t. Solve -w = -k*x - 21, -2*x + w + 1 = 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9424 and 1033448.\nAnswer: 64073776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.298 * -11467\nAnswer: 3417.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.1. Let a = 87\/4 - 23. Let p = 2170640\/9 + -241182. What is the smallest value in p, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8073977, 5, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-5)\/8290*-2). Let m = w - 503. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*(-1)\/(42\/72). What is the first derivative of 26 - j*s + 19 - 12 - 127 - 119 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612079879.\nAnswer: 3, 870693293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11.1. Is x greater than 2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-one fifths of a millisecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 717128 - -88715. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79144861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = 3*p + 5, -3*p - k - 1 = 0. Put p, 1, -58 in decreasing order.\nAnswer: 1, p, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(480) - -4*2*sqrt(480))\/sqrt(10).\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 175070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 9*n - 10. Let l be p(7). Is 592\/5 + l\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c8 - -8843?\nAnswer: 876a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -9, 4, -3, -1, 2 in decreasing order.\nAnswer: 4, 2, -1, -3, -9, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 5*v**2 - v - 3. Let p be n(-5). Suppose 4*j = -p + 14, 19 = g + 5*j. What is the smallest common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27070 - -1055672\/39. Let s = -2\/13 - g. Which is the second biggest value? (a) s (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r + 18 - 18.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 26*l + 17*l + 432 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36178732 is divided by 18089366.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 169 - (-2 + 1) - (-38)\/95*-10. What is the highest common factor of p and 2158?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6420\/(-7800) - 10\/90*(-72)\/(-80).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((31075\/60)\/113)\/((-2)\/18))\/((-3)\/4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykykwywwy. What is prob of picking 1 w and 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 833.\nAnswer: 1082.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2513868 microseconds?\nAnswer: 0.0000002513868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63843 + 63843 + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 29250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1163 times 98\nAnswer: -113974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47250 and 157500.\nAnswer: 472500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 19131945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrbrrrrrrrr. What is prob of picking 1 b and 3 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3122.4 + -3122. Which is the second smallest value? (a) -5 (b) -2\/95 (c) 2\/3 (d) z (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/15 - 21294\/45. Let h = -398 - -87. Let q = h - p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/276419 and -39\/88?\nAnswer: 2211352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l. Let g(i) = 74*i**2. Determine x(g(j)).\nAnswer: -296*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18602628 to the power of 1\/2, to the nearest integer?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbababbab?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 8691*y + 6301967. Determine d(673).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68815733.\nAnswer: 7, 109, 90191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a)**(-6\/23) assuming a is positive.\nAnswer: a**(-3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 100*y**2 - 1151*y. Let z be a(-18). Let j(v) = -v**3 - 19*v**2 - 15*v + 7. What is j(z)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/(-15))\/((38\/(-1140))\/(1\/(-5))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11118131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -1 (b) 2 (c) -0.2 (d) -0.29 (e) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 177, 250, 365, 528, 745, 1022, 1365?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n. Suppose n = 3*t + b - 18, 5*t - 5*b + 2*b - 44 = 0. Find y such that t*y - y**3 - 5*y**3 - 3*y + 4*y**2 - 2*y**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**5\/5 - 112504*z**4\/5 + 787068*z**3\/5 + 7422824*z**2\/5 + 16646032*z\/5 + 11697504\/5 = 0.\nAnswer: -2, 13, 28119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309376528?\nAnswer: 2, 31, 623743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2827974 is divided by 272.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 101 + 58 = 0. Let v be k\/12 - (-8)\/32. Let o = -19 - v. Let g(p) = -2*p**2. Let q(r) = -r**2. Give o*g(i) + 13*q(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 6*z**2 - 6*z + 3. Calculate b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(2187))\/((sqrt(9) + sqrt(9)*-2)*-4).\nAnswer: -5 + 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1522 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 6*u**2 + 5*u - 2. Suppose -133*y + 50 = -123*y. Calculate o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 3*a**5\/10 - 405*a**4\/4 + 8976*a**3 + 27744*a**2 + 1868. Factor k(j).\nAnswer: 3*j*(j - 136)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -r + 59 - 200, 3 = -3*r. Suppose 0 = -3*c + 5*k + 16, 3*c - 4*k = 4*c - 28. What is the remainder when p is divided by (-6)\/(-36) + 118\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 11*v**2 - 14*v - 6. Let j be p(13). Calculate the greatest common divisor of j and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*n - 3*b**4 + 2*b**3*n*o + b**3*o - 4*b**2*n*o + 3*b**2*o + b**2 + 2*b*n*o wrt b?\nAnswer: -48*b*n - 72*b + 12*n*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 258 and 7569.84.\nAnswer: 1953018.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58\/7 - 11\/(-77)*-2. Solve 0*z + a - t = -2*z, 3*a = 3*z - 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755 = -10*y - 815 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10508*f - 5887 + 251 = -10374*f + 796 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/35)\/(-2)*(-420)\/(-63).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/19*66\/4. Let y be (-3)\/(-2) + g\/11. What is the biggest value in -5\/6, -0.5, y, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2054138 (base 12) to base 15.\nAnswer: -802468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {n: 1, p: 14, c: 2}?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, v: 2, j: 2}. What is prob of sequence vj?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*k**3*t**4 + k**3*t - 521879*k*t**2 - 15*t**4 + 1266*t**3 wrt t?\nAnswer: -1920*k**3*t - 360*t + 7596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:56 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 61*f - 10120 = -71*f. What is the least common multiple of f and 290\/16 + (-1)\/8?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2583, -2581, -2577, -2571?\n\"Answer: t**2 - t - 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 11*g)*(16*g**2 - 3*g**2 - 10*g**2 + 2*g**3).\nAnswer: 22*g**4 + 33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196\/(-370)*(-298220)\/16120.\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 7944\/13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -5, 4, 494 in ascending order.\nAnswer: -5, -1, 0, 4, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a factor of 99496616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(1100) - sqrt(1100)*-2)*-6 + ((sqrt(176) - (sqrt(176) - -3*(sqrt(176)*-1 + sqrt(176)))) + 5 + 5)**2.\nAnswer: -180*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918140 divided by -6?\nAnswer: -1959070\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18108 is divided by 283?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-24) - 185\/(-40). Suppose 2*y - 5*o = 68, 4*y = -f*o + 204 - 68. Are y and 33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115 + 8*s - 2*s + 111 to the form h*s + x and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(33)\/(sqrt(75) + (sqrt(75) - (sqrt(75) + sqrt(75)*2)) + sqrt(75) - sqrt(75)))**2.\nAnswer: -2*sqrt(11) + 636\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 17?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 + 25*z**4 - 30*z**3 - 10*z**2 + 35*z - 15.\nAnswer: -5*(z - 3)*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 151 - 3*m**2 + 311.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 4*t - 4. Let v be d(5). Suppose -v = 2*n - 53. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1583669*d. Let q(i) = -29*i. Calculate j(q(v)).\nAnswer: 45926401*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856, -3433, -7728, -13741, -21472, -30921, -42088?\nAnswer: -54973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 6366 = -h. Let f = 332 - h. Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2437728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/6)\/(-5) - (2 + -2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2778 and -1.\nAnswer: -2778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 203.576 nanometers?\nAnswer: 0.000000000203576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130303, -260421, -390351, -520093, -649647, -779013, -908191?\nAnswer: -1037181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 197994662, 197994658, 197994654, 197994650, 197994646, 197994642?\n\"Answer: -4*m + 197994666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*i**5 - 16786*i**4 - 212814*i**3 - 121806*i**2 + 1837728*i + 2747520 = 0. What is i?\nAnswer: -53, -15, -24\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + 113. Suppose -2*q = -6*q + y. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-1))\/(33\/22). Suppose k = -h*k + 55. Let g = -198 + 308. What is the highest common factor of g and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61559, 60155, 58749, 57341, 55931, 54519, 53105?\n\"Answer: -p**2 - 1401*p + 62961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 1 v when three letters picked without replacement from avvvzsav?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -704 less than or equal to -16198\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/4*148\/(-111)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(2*-4))\/((-5)\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1140884607 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.43 less than -18.59?\nAnswer: -33.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m - 5*m + m**4 + (m**2 + 5*m**2 - 4*m**2)*(-2*m**2 - m**2 + 2*m**2) - 5*m**4 - 10*m**4 - 10*m**4.\nAnswer: -26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*c = 0, 6*k - 439*c + 442*c - 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 7*l - 23*l + 10*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -0.2 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4193*c - 4234*c - 3535*c - 5599*c.\nAnswer: -9175*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 1392475325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -34*i**3 + 5*i**2 - 12*i. Calculate q(2).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkeekjekkkzbjppkkb. What is prob of sequence eb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g - 20 + 45 - 30 - g**2. What is the least common multiple of 9 and w(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -t + 1, -3*k - t - 1 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231686.\nAnswer: 2, 3, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i + 16. Let h(l) = 8*l - 1. Let w(v) = -41*v + 5. Let f(a) = 11*h(a) + 2*w(a). Let d = 30 + -33. Let k(g) = -5*g + 1. Determine d*f(m) + i*k(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*k**3 + 542330*k**2 - 542330*k**2 + 5 - 3*k.\nAnswer: 83*k**3 - 3*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (-47267)\/(-12) + (-221)\/(-2652)?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85659, 85660, 85661, 85662, 85663, 85664?\nAnswer: 85665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -5, 140, -1, -2 in increasing order.\nAnswer: -156, -5, -2, -1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:05 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36131257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*g**2 + 33*g**3 + 88*g**2)*(-9 - 14 + 5).\nAnswer: -594*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50254, -50250, -50246, -50242, -50238, -50234?\nAnswer: -50230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*j - 3. Suppose -2*v - 3 - 3 = -3*a, 3*v - 6 = -3*a. Sort v, j, -5, -3\/4 in ascending order.\nAnswer: -5, j, -3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - (9 + -2)) + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 102*u**2 + 998*u + 269. Calculate j(91).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 10*v - 2*v. Let w = v - -14. Solve x - 2 = 0, 5*g + 2*x + w*x - 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 95*z**9\/252 + z**5\/30 - 103*z**3\/2 + 10*z**2 + 3*z. What is the third derivative of x(q) wrt q?\nAnswer: 22800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243562125 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.05 + -0.05. Let t = -1 - k. Let u = 0.4 + 0.1. Put -0.3, t, u in descending order.\nAnswer: u, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 4*o**2 + 3*o + 3. Is q(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 - 1\/12*l**4 + 0*l**2 + 0*l**3 + 2*l. Let o(c) = 7*c**2 + 3*c**2 - 4*c**2. What is y(o(i))?\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddllelzhbbb. Give prob of picking 1 h and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -31.9 and -190797 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Suppose 0 = 2*s - 5*z - 9 - 15, -39 = -5*s + 2*z. Suppose s*o = 2*o + 45. Let m(p) = -o*p - 322 + 322. Calculate d(m(w)).\nAnswer: 162*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 10 - 3. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18707, -18706, -18705, -18704?\nAnswer: -18703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 0.23, -0.3, 8?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5144809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/36 + (-1699)\/(-9). Calculate the greatest common divisor of 27 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*o - 9 = 18, -3*o + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21168 - 21165. Solve 4 = -4*s + 5*x - 2*x, 0 = 2*s + u*x - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4681 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 108, 222, 444, 810, 1356, 2118?\nAnswer: 3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -770913*m*y**2 + 5053*y**2 - 48*y with respect to m.\nAnswer: -770913*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2233*l - 77. Let d(v) = -86*v + 3. Let z(b) = 77*d(b) + 3*s(b). Let r(n) = 3*n. What is r(z(p))?\nAnswer: 231*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 8. Find the third derivative of -5*u**r + 7*u**4 + 0*u**2 + 2*u**2 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4420 - 3393. What is the smallest common multiple of 19 and l?\nAnswer: 19513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 2*p - 5*p)*((3*p**4 + 0*p**4 - 5*p**4)*(0 + 0 + 2) + 5*p**4 - 5*p**4 - 6*p**4) + 3*p**5 - 29 + 7 + 8*p**2 - 4*p**2.\nAnswer: -17*p**5 + 4*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -7\/24*v**4 + 5\/6*v**3 - 4 + 0*v + 10*v**2 - 7\/60*v**5 - 1\/40*v**6. What is the second derivative of f(m) wrt m?\nAnswer: -18*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 - 8*l**4 - 6*l**3.\nAnswer: -2*l**3*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/4*22\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:07 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 2108.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5738811707 take away -1.42?\nAnswer: 5738811708.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**2*d*y**2 + 12*c**2*d*y - 21*c**2*d + 20*c + 19*y**2 wrt y.\nAnswer: -6*c**2*d*y + 12*c**2*d + 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.1. Let f be (-10)\/4 + (-7)\/14. Let p = 3\/20 + -47\/180. What is the biggest value in p, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7442, -11448, -18128, -27482, -39510?\nAnswer: -54212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(-4 - -7). Let d = -13.32 - -0.32. Let x = d - -12.3. Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-251*a - 518*a + 1389*a + 1259*a + 1645*a) as d*a + j and give d.\nAnswer: -7048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 6*s - 4. Let x(a) = 4*a**2 + 13*a + 9. Let u(g) = -6*g**2 + 6 - 10*g + g**2 + 4*g**2 - g. Let w be u(-12). Calculate w*x(m) - 13*p(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*16\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 781 and 1907248079.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 6. What is w(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/2263 - -89333\/359817. Let r = a - 10442\/1113. Suppose -5*f - m = 69 - 20, m - 1 = 0. Is r at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/13)\/(h**5*h*h))**(11\/6))**(-29) assuming h is positive.\nAnswer: h**(14036\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -7*l**3\/3 + 3*l**2 - 9*l - 114. Let o(w) = 6*w**2 - 5*w + 8. Give -5*j(h) - 6*o(h).\nAnswer: -h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 2*k + 1. Suppose 0*r + 3 = -v + 2*r, -4*v - 6 = -5*r. Let z = v - -12. Calculate the remainder when m(-6) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -11, -57, -143, -281, -483, -761?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12300 divided by 10\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -12303276?\nAnswer: 1\/6151638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5+-30762.2106134\nAnswer: -30757.2106134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -36. Let q(d) = d**3 - 5*d**2 - 7*d + 9. Let m be q(6). Suppose -c = 3*f + z, 30 = -m*f - 2*f + z. Let r(b) = b + 5. Give r(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -t + 4*z, -5*t - 8 = -5*z + 3*z. Put 9, 6, t in decreasing order.\nAnswer: 9, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.36 * 108648.\nAnswer: 256409.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*s - 90*s = 4*v - 56, -655 = -70*s - 5*v for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:16 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gergegjgg. What is prob of picking 2 e and 1 r?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3254, -6976, -13180, -21866, -33034?\n\"Answer: -1241*t**2 + t - 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 13 = 81 + 56 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15001 - 7233?\nAnswer: -24234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (14 - (32 + -16))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 71 - 1. Let u be (-1)\/2*154\/w. Suppose -u*v = -22*v + 1914. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26445 - 15332 - 14938)*(7*f + 7*f + 0*f + 2*f).\nAnswer: -61200*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/63 - -178\/819. Let h = -2862 - -2879. Do h and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14175 and 30.\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 92f?\nAnswer: 92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23881048 < 23881045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2007472, 4014922, 6022372, 8029822, 10037272, 12044722?\nAnswer: 14052172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*c + 41*c - 96. Find the first derivative of -103*x + c*x - 265 - 115*x - 89*x wrt x.\nAnswer: -295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udmnb. What is prob of picking 1 b, 1 n, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(1*sqrt(6292) + sqrt(6292)))\/(sqrt(40)\/((sqrt(10) - sqrt(90))*-6)).\nAnswer: -1320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 1267.12.\nAnswer: 1264.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10963 - -17562. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g - 43. Determine f(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204.3 - -204. Which is the fourth biggest value? (a) -4\/7 (b) k (c) -3\/2 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a + 4. Let q be 4\/a - 64\/80. Suppose 4*d - 2*d - 38 = q. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22252242 (base 8) to base 10\nAnswer: -4805794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 43\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -25*s + 1. Let z be q(-2). Suppose 5*y + p - z = 179, 3*p - 195 = -4*y. Let h be 12\/y - (-4)\/(-6). Is 0.2 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11 + 2*p + 3 + 8. Let d(m) be the first derivative of -11*m**3\/3 + 2. Determine i(d(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8*-2)\/(2\/(-20)). Let p(g) = -x*g - 14*g + 27*g. Let m(t) be the third derivative of t**4\/8 - t**2. Determine m(p(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2172, 2173, 2174?\n\"Answer: i + 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-42)\/2) + 14 + -17. Let b = -1 + 3. What is the highest common divisor of b and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.17 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -690, -1746, -3226?\n\"Answer: -212*n**2 + 4*n + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*r + 3 - 623 = 773 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/259 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 142*y**2 - 9434*y.\nAnswer: -y*(y + 106)*(y + 178)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 4*u**3 - 2*u**3)*(5*u - u - 2*u) - 5*u**2 - 13*u**2 + 17*u**4 + 15*u**2 - 19*u**4 - 61.\nAnswer: -4*u**4 - 3*u**2 - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*s + 130, 2*o + 4*s = -29 - 101. Let w = o - -24. Let p = 1 - w. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10*x**3 - 5*x - 4. Let g(a) = 9*a**3 - 5*a - 3. What is 4*g(o) - 3*n(o)?\nAnswer: 6*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3878 * 3.\nAnswer: 11634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -141, 2, -2\/873?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*f - 3563 = 0, -4*d - 3558 = -9*d + 2*f. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/98*(-154)\/(-4) - 4914\/54.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 46 = -13*r. Let g = r + 18. What is the remainder when g is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/20007 and -44\/1197?\nAnswer: 140049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/819*-14)\/((-31)\/2046).\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18524039 divided by -4?\nAnswer: 18524039\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -5*n - 4*j, 6*n - 3*j = 4*n - 16. Let p be 0 + (-175)\/50*12\/n. Let y(c) = c**2 - c + 1. Calculate y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92750431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59228.13 litres?\nAnswer: 59228130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -105*y**2 - 308*y - 27 + 308*y. Let p(w) = 8*w**2 + 2. Let u(h) = -54*p(h) - 4*r(h). Let a(f) = f**2. What is u(a(l))?\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a**3\/3 - 6. Let m(l) = -10*l**2. What is s(m(n))?\nAnswer: -200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -4 (b) 0.03 (c) 0 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*v + 20, 5*v = 2*t - 6*t + 20. Suppose -t*h + 292 = -88. List the prime factors of 12684\/h - (-6)\/57.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 0, 2031 - 6006 = -3*p - 3*x. Is p a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -215 + (-3 - -5 - 4). Let r = q + 369. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*(-5)\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 16*t + 1. List the prime factors of l(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5229.86*5.\nAnswer: -26149.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234.01 - 233. Let u = s + -0.01. Let d be 2\/(-6) + (-2)\/(-3). Sort u, 3\/2, d.\nAnswer: d, u, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(125) + sqrt(5) - (sqrt(45) + -5))**2.\nAnswer: -270*sqrt(5) + 3670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30496 + 2*g - 2*g**3 + 14*g**2 - 14*g**2.\nAnswer: -2*g**3 + 2*g + 30496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/93*140*(-8)\/(-160)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482184 a multiple of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1429, 50 in increasing order.\nAnswer: -1429, -2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33784 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.9, -2980, -3\/5?\nAnswer: -2980","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-1 - sqrt(216)\/sqrt(6))\/(-3*(-1*sqrt(3)*2 + sqrt(3))).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2 - 2*i - 322 - 157 + 3357127*i**4 - 3357326*i**4 wrt i?\nAnswer: -2388*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 53*z**6\/6 + 13*z**3 + 55. What is the third derivative of v(p) wrt p?\nAnswer: 3180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 31. Put s, 2, 0 in descending order.\nAnswer: s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.4738 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -25*f**3 + 3*f**2 + 20*f. Let t(h) = -17*h**3 + 2*h**2 + 14*h. Let g(r) = 7*t(r) - 5*w(r). Let u(a) = 5*a**3 - a**2 - 3*a. Give -3*g(j) + 2*u(j).\nAnswer: -8*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {n: 1, i: 3, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + -6 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-14) - (-17)\/119. Let g be (-5)\/3*2*36. Let o be (-16)\/g + 64\/(-30). Which is the third smallest value? (a) s (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3350350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - p. Let x be i(1). Let r be 48*(36\/8 + x). List the prime factors of (-12)\/(-2)*132\/r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (46 + -65)) + (-11 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 11*i - 2 - 8*i - i. Let b(u) = 24*u - 10. What is -3*b(j) + 14*p(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.2 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3138 - 6*u**2 + 3138.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnnnnjwnnnntjnnknwi. What is prob of picking 1 t and 1 w?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 50*d**2 + 5*d - 9. Let w be f(25). Suppose -4*t = -l - w, 4*l = -3*t + 35 + 71. Solve -5*v = -5*q - t, 4*v = 2*q + 25 - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*d + 150 = 3*l, -3*l + 150 = 3*d. Suppose l - 10 = 5*t. Let x = 16718 - 16710. Calculate the greatest common divisor of t and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 2*f**2 - 2*f. Suppose 0 = 2*h - 31 + 25. Let k be q(h). Suppose k*l = -2*i + l + 12, 5*i = -3*l + 28. Solve g = -i + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 67 + 7 = 3*y, -5*z + 3*y + 78 = 0. Suppose -5*x + 270 = 5*k, 2*x - 51 = -3*k + 58. What is the remainder when x is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27787 - -41585. Calculate the remainder when u is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -207 + 201, 0 = -5*y + 5*l - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19555913 is divided by 698?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25818 at most 51633\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5099252 - 5099252 - 3760*l**2)*(0*l**2 - 2*l + 0*l**2 - l**2).\nAnswer: 3760*l**4 + 7520*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445 + 4447\/10. What is the common denominator of r and 92\/(-82) - (6\/6 - 1)?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1580\/(-80) + -1)*-21548 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**(1\/6)\/y)\/y)\/y*y)\/((y*(y**(-2\/13)*y*y*y)\/y)\/y))**(2\/47)*((y**2*y)\/y)**(-42)*(y\/y**(-2\/7))**(-2\/17) assuming y is positive.\nAnswer: y**(-18380533\/218127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2\/7, -4, 1258.9, -2 in ascending order.\nAnswer: -14, -4, -2, -2\/7, 1258.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.010794 + 18.\nAnswer: 18.010794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 - -52.3. Let s = 706221268 + -706221219.9999961. Let i = s - j. Round i to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3892 + 67. What are the prime factors of 12\/(-42) - (0 + k\/7)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(175)*1)**2 + -1.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.83613 millimeters in centimeters?\nAnswer: 2.383613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*o - 80 - 112. Solve o*k = -3*k + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477143001 divided by -148689?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -413713*k**5 - 293*k**2 - 390388331*k.\nAnswer: -8274260*k**3 - 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/11 and 42\/334*(-220)\/(-1650).\nAnswer: 9185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3, 0.59, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.140741 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -23 (b) 5 (c) 19.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 55*t = -3, -5*h - 4 = t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 2)*(-3*d + 0*d + 4*d) - d + 0*d - 2*d)*(5 - 5 - 3*d)*(-20 - 16 + 19) + (-1 + 1 - 1)*(-2*d**2 + 0*d**2 + d**2).\nAnswer: -101*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4814.\nAnswer: 2, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285210 and 15948?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*b + 150 = 0, 3*d - 2*b + 3 = -147. Let o = d + 74. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/66*2)\/(2*(-4)\/8)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6228, -6236, -6244, -6252, -6260?\nAnswer: -6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o**2 - 5*o. Let u(i) = -i**2 - i. What is 5*u(h) - w(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/24)\/((-23)\/(-138))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245676386077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/46)*p*p*p**(3\/17) assuming p is positive.\nAnswer: p**(2467\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 c when four letters picked without replacement from ucccucuc?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, i: 1, a: 2, x: 3, s: 2, m: 2}. Give prob of picking 1 c and 1 a.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/945*15*63\/(-18)*(-10)\/12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033549404 to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 3*s + 4. What are the prime factors of p(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + -0.90149?\nAnswer: -0.85149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, and 2 v when four letters picked without replacement from emvmemmmmvezzzmeezm.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-15)*4\/(16\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -318 > -5\/38102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -53*x + 650. Let j be r(12). Sort 1, j, -6, -3 in descending order.\nAnswer: j, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 5*a + 7. Let j be v(4). Let l(b) be the second derivative of -1\/2*b**2 + 0 - 1\/3*b**j - 1\/6*b**4 + 1\/20*b**5 - 2*b. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101343628, 202687254, 304030880, 405374506, 506718132, 608061758?\n\"Answer: 101343626*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/((52 - 45)\/(12 + 279\/(-18)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) -3 (c) 1\/5 (d) -0.128 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -84542902?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35315*n**2*r**2 + 2*n**2*r + 2*n*r**2 - 3*n*r - 7*n + 645*r**2 wrt n.\nAnswer: -70630*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 12) + 12 - -11 - 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622 (base 9) to base 5.\nAnswer: 4011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22*z + 2. Let y be w(-3). Determine p so that -64*p - 2 - y*p**2 + 4 - 18 - 20*p**3 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -106.33\nAnswer: -425.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 + -193.07. Let u = 0.1022 + j. What is u rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6 - 7 + a**2 + 3*a + a**3 - a. Let z be f(-2). Calculate the remainder when 4\/(-6) + (-267)\/z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d - 902*d**2 + 902*d**2 + 7*d**5 - 31*d**4. Let k(c) = -3*c**5 + 15*c**4 + 6*c. Let g(o) = -6*j(o) - 13*k(o). Suppose g(q) = 0. What is q?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35472566413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5268 * 81.\nAnswer: -204.6708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2422, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*u**3 + f*u**2 - 8*f - 3 with respect to u.\nAnswer: 9*f*u**2 + 2*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21783, -21794, -21805, -21816, -21827?\n\"Answer: -11*r - 21772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6338)\/(-6)*-3*(-2)\/2. Suppose 12*w = d + 5843. Let z(g) = -751 + g + g + w. Let p(v) = -14*v**2. What is z(p(q))?\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u - 7. Let j be y(1). Let q be (-3)\/18 - (-1190)\/12. What is the greatest common factor of j and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/64 + 11198\/8. Suppose -169*g - t = -173*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, p: 8, b: 3, f: 3}. What is prob of picking 3 q?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 16) to base 9.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-12))\/((45\/(-36))\/(13 + (-27874)\/2128))\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - 68?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -1.7. Let i = -32 + 32.7. Let f = z + i. Which is the third smallest value? (a) f (b) -2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55974.67 * -0.3.\nAnswer: 16792.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -1)*-2)**2.\nAnswer: -80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -31 - ((14 - 20) + (10 - 2) + 0).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3238, 2, -2\/3, 82 in descending order.\nAnswer: 3238, 82, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let l be 1*4\/16*x. Find o, given that -9*o + 10 + l*o**3 - 16*o - 3*o**3 - 2*o**3 + 20*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b + 2424?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6349 + 253901\/40. Let d = -5\/3529 - -187212\/123515. Find the common denominator of h and d.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/((-84)\/7224*-43).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82544 and 50116?\nAnswer: 1403248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2862200288 to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-455)\/390*(-84)\/42?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37101\/409 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttr when three letters picked without replacement from {r: 1, k: 4, t: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 9218, -3, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 - (10 + -5 - 7)) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1414*d + 1418*d - 2829*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1839 and -207915071?\nAnswer: 207913232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Let l = 8 + -5. Find the third derivative of z*i**5 - l*i**5 + 3*i**2 + 3*i**5 - 4*i**6 wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28837440 divided by 1116?\nAnswer: 25840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1008 and -1008 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -330*t + 1. Let r(k) = -2*k. Calculate r(b(a)).\nAnswer: 660*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 4. Let q be p(4). Suppose 7*v - 2*v - 3*j + 2 = q, 3*v = 4*j - 10. Let g be (6\/8)\/(9\/8). Which is the third smallest value? (a) v (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 1:21 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.295 - 0.075. Round k to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 + -9)\/(2\/36). Let o = k + -87. Let q = -35 - o. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 6. Let c(f) = -6*f - 5. Give -5*c(l) + 4*z(l).\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(36*9\/81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:03 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*n**4 + g**2*n + 224*g*n**5 - 311*g*n + 2 wrt n.\nAnswer: -24*g**2*n**2 + 4480*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 27362?\nAnswer: -27355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30381 and -0.2?\nAnswer: -6076.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, s: 2, r: 8}. What is prob of sequence essr?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*t**5 - 1555*a**3 - 2*a**2*t - 526*a*t**4 + t**2 wrt t.\nAnswer: 40*a**3*t**3 - 6312*a*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**6\/60 + 3*k**5\/20 + 3*k**4\/8 - k**3\/3 - 3*k**2 + 47*k + 45. Let z(v) be the first derivative of c(v). Factor z(t).\nAnswer: (t - 1)*(t + 2)**2*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = -6, -2*x + 15 = -3*n. Let p be 82 + x + 1 + 2. Suppose 5*a = -0*a + p. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.04, 2, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyxygyj. What is prob of sequence xjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010100 (base 2) in base 8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 - ((4 - 3) + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.297638l in millilitres?\nAnswer: 6297.638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10*-4)\/((-60)\/(-75)). Let y(v) be the third derivative of 0 + 1\/120*v**6 + 3\/2*v**3 - 7\/60*v**5 + 0*v - 7*v**l - 1\/12*v**4. What is y(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-3 - -349))\/(-59) + 2. Let q = p + 1689\/1652. What is the common denominator of -48 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.090942072 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*j - 17. Suppose 0 = -j*d + 4 + 6. Suppose 2*o - 68 = -d*o. Calculate the remainder when 48 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.52, 2, 10449, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46085013 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 3*c - 5. Let n be s(4). What is the units digit of 396\/9*(-1)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210875940 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 234\/27 - 2\/3. Does 13 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 677206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etejppeeweteet. Give prob of sequence jp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = d - 3. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1206 + -2?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2102 and 5\/1668?\nAnswer: 1753068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 4:25 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/5973 and 28\/822645.\nAnswer: 9049095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64.25 + 64.6149. Let z = 0.37 - l. Round z to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 75, 46, 0.5, -0.4, -398?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2602*r**3 - 3*r**2 + 101736*r.\nAnswer: 15612*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143990761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {v: 1, t: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 10:35 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 6. Let p(y) = 60*y + 54*y + 50*y + 49*y + 7 - 216*y. Let q be 3 + 3\/(-3) - 6. Let g = -8 - -13. Calculate g*c(m) + q*p(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52364 and 17172?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 1)*(0 - 3 - 2*i + 1)*(-i**2 + i**2 - 2*i**2) + (0*i**2 + i**2 - 5*i**2)*(674*i - 339*i - 337*i + 112) as m + n*i + q*i**2 + s*i**3 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2\/3*i - 1\/3*i**2 + 1 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 470\/3*x**3 - x + 0*x**2 - 2. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 11 = 57. What is the least common multiple of 14 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.595596 to 3 dps.\nAnswer: 0.596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16255 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 - 42*i**2 + 539*i + 2556. Give u(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3cac3 - 5?\nAnswer: 3cabe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**34\/(((s**6\/s*s)\/s)\/((s*(s\/((s\/s**8)\/s))\/s)\/s)) assuming s is positive.\nAnswer: s**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8944*t**2 + 9002*t**2 + 178*t - 17862*t**2 to the form d*t + c + i*t**2 and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Let r be 12\/(-9) - (-2)\/(-3). Let v be -1 + 0 + r + -2. Is u(v) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*c + 5. Let p = c - 3. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1300 and 36916126?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 - 20*r**2 + r + 20 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128900 and 48.\nAnswer: 6187200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**8\/1680 - h**4\/24 + h**3\/6 + 2*h. Let x(s) be the second derivative of y(s). What is the derivative of x(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56\/155611 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-50)*(q**0)**16)\/((((q*(q\/q**(-1\/3))\/q)\/q)\/q)**(15\/7))**(-25\/7) assuming q is positive.\nAnswer: q**(-250\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32164850.\nAnswer: 2, 5, 17, 79, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 * -15672\nAnswer: 438816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 351123620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -767463 divided by 47.\nAnswer: -16329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*z + 8. Let g be (z\/6)\/(28\/(-1890)). Suppose 0 = -2*l + 3*h + 30, l + g = 4*l + 3*h. Calculate the highest common factor of l and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0 - 4\/9*n**4 - 4\/9*n**3 - 1\/45*n**6 - 7*n + 0*n**2 - 1\/6*n**5. Factor p(s).\nAnswer: -2*s*(s + 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.39 + 4.39. Let b be (14\/(-10))\/(-7) - 18\/(-10). Put 0.04, c, 1\/7, b in increasing order.\nAnswer: 0.04, 1\/7, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3572 divided by 5?\nAnswer: -3572\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 726.3 - 726. Which is the second smallest value? (a) n (b) -1\/2 (c) -5\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 58762*y + 14. Let o(b) = 2*b. Determine s(o(r)).\nAnswer: 117524*r + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-1)\/8*0. Put 4, 2, i in descending order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1054*j + 1048*j + 46332. What are the prime factors of j?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111719.\nAnswer: 47, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398857737?\nAnswer: 1398857737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9306482 kilometers in meters?\nAnswer: 930.6482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(98\/(-52)) + 4 + (-860643)\/(-147)?\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 4. Let f(k) = -7*k + 4. Let w(c) = 2*c - 1. Let s(g) = f(g) + 3*w(g). What is -2*r(a) - 9*s(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -973*q**2 - 984*q**2 + 3027*q**2 - 947*q**2. Let d(g) = g**2 + 25. Determine d(i(r)).\nAnswer: 15129*r**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 118989000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5158385*s**2 + 1981720 wrt s?\nAnswer: -10316770*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 408 - 512 = -2*x, 2*p + 1870 = 4*x. Suppose -13*j + 12*j = -x. What are the prime factors of j?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522680131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(539)*-5 + 4*((2 + sqrt(539) - sqrt(539)) + 3) + 5)**2*6.\nAnswer: 42000*sqrt(11) + 1297350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2925082691 rounded to four dps?\nAnswer: 1.2925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y - 2. Let a be t(1). Suppose 23 + a = 5*r. Let u = 12 + r. Calculate the highest common divisor of u and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/((-2)\/(6\/21))*(-1239)\/354.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 129, 6544 in descending order.\nAnswer: 6544, 143, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/20 and (-1 - 5\/2)*50\/(-80).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 45949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*m - 8 = 0, -120*i - m = -123*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48957294 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-41802.\nAnswer: 41802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 2) + (-1)\/(-2). Let b = 0 + g. What is the third biggest value in b, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 9427*j**3 - 9096*j**3 - 16.\nAnswer: 331*j**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 6*r**2 + 7*r + 5. Let c be k(7). Suppose -3*n + 0 = -x - 8, c*n + 2*x = 28. Suppose n*a = -a. Solve v + 2 = -a*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(117))**2 + 0 + -5 + (sqrt(13) + 1 - sqrt(13))*-3.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*g**2 + 31*g**3 + 17*g**3 - 45*g**3.\nAnswer: 3*g**3 - 115*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 19. Let q = -1236 - -1251. Let c be q\/(-18) - (-8)\/f. Sort -0.4, 4, c, 2 in increasing order.\nAnswer: c, -0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - 2*r**3)*(r + 2*r**2 + 150 + r - 166).\nAnswer: 4*r**5 + 4*r**4 - 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*c**3*h - c**2*h**2*v - 2*c**2*v**3 - 78*c*h**2*v**3 + 2*c*h**2*v - 3*v**3 wrt c.\nAnswer: 384*c*h - 2*h**2*v - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsiglidligllididii. What is prob of sequence dldg?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 962 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78341 is divided by 4352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(-1*(-2)\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 12*r - 47 + 45 + r**2 + 0*r**2 in the form f*r + y*r**2 + m and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - -2) + (-2)\/6*3. Solve 4*w = -2*z + w + r, -16 = -4*z + 5*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-6) - (-20)\/(-24). Let j = 137527\/34 + -4045. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 5. Let g = 24 - 24. Solve g = p - t*s + 5, 0*p + 5*s = -4*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308880 is divided by 3739.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4805 is divided by 277?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15827 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*c**2*u + 2*a**3*c*u**3 + 346*a**3*u**2 - 19*a**2*c**2*u**3 - a - 2*c*u**2 wrt c?\nAnswer: -2*a**3*u - 38*a**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 2*a + 20, -2*g - 2*a = 16. Let l(d) = 2*d - 5. Let i(k) = k**2 + 3*k - 1. Let t be i(2). Let q(m) = m - 2. Calculate g*l(f) + t*q(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1250\/4 + (-27)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98057208661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216182150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 5*k**2 + 4*k. Let z be a(-4). Suppose z*c - 2*c + 36 = 0. Let v = 26936 - 26924. What is the smallest common multiple of v and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 - -116. Let y(m) = -m**2 + 22*m - 5. What are the prime factors of y(h)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1404 by 468.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, h: 1, g: 1, d: 1}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290047 is divided by 96578.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5433127 and 3880805.\nAnswer: 27165635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**3 + 51*k**2 - 21*k?\nAnswer: 18*k + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14810863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -16*w + 70. List the prime factors of o(-38).\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 117.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440882337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 2055*v + 161043. What is u(-71)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 76 = -0*o. What is the greatest common factor of o and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + a - 688 = 0, -2*o - 330 = -4*o + 3*a. Let k be 3\/4 + o\/12 + 3. What is the highest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -30*d**2 - 385*d - 1224. What is z(-9)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.007*0.1799\nAnswer: 0.0012593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:40 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 12*a + 29. Let l be b(-13). Solve 0 = -3*i - 5*d + 2, -4*i + 2*d + l = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 6. Let c = 8 + o. Solve -c*w + 4*v - 17 = -4, 3*w + 2*v = -7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27761883?\nAnswer: 3, 1637, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870 = 2*n - 4*x, -2*n = -7*n + 4*x + 2175. List the prime factors of n.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 1006a49?\nAnswer: 1006a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -90 + 1 + (-115 - -134) - 0\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-116)\/(-20) - 16\/20. Suppose 0*t = j*t - 3885. Suppose -2*u - z = -t, 4*u - z - 1549 = -2*z. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471867285?\nAnswer: 3, 5, 31457819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, a: 3}. Give prob of sequence va.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 2, z: 1, l: 1, m: 1, a: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.346064 plus -4?\nAnswer: -6.346064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5 - 0. Let v be 24\/14 + 16\/56. Solve g = -v - p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14503 + 2515?\nAnswer: 17118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -672978392 rounded to the nearest one million?\nAnswer: -673000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = h - 10449, -700*h + 5*p = -703*h + 31361. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a second in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 + 1\/3*y**3 + 0*y + 19\/30*y**5 - 7\/9*y**4 - 2*y**2. Determine o so that s(o) = 0.\nAnswer: 3\/19, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 72. Sort -7, o, -3.\nAnswer: o, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10475 = -163*k + 3217. Let t = 53 + -32. What is the highest common factor of k and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 - 7*g**2 + 5*g - 14. Let d be o(6). Suppose -3*c = -d + 262. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from xxwxxrxrxxxw.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + w - 2. Let a(f) = -3*f**2 - 3*f + 4. What is -3*a(y) - 7*n(y)?\nAnswer: -5*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686502358 a multiple of 2524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100010110010111 (base 2) to base 10\nAnswer: 17815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 1. Let m(p) = 17*p - 3. Let q(b) = -b**2 + 21*b - 104. Let j be q(10). Determine j*d(o) + 2*m(o).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 + 3*m + 10. Let p be k(-7). Let b(h) = 2*h**2 + 14*h - 14. Let y = 69 + -44. Calculate the remainder when b(p) is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(150)*4)\/(sqrt(192) + sqrt(192)*2 + (sqrt(3) - sqrt(33)\/(sqrt(44)\/sqrt(4)))).\nAnswer: -20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and -1237544.7.\nAnswer: -1237544.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*g**5 - 251*g**2 + 659*g**5 + 250*g**2 + (3 + g**3 - 3)*((2*g - 3 + 3)*(0*g + 0*g + 2*g) - 4*g + g**2 + 4*g + 0*g - g**2 + 0*g)*(-4 + 18 + 22).\nAnswer: 725*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11 (b) 4\/3 (c) -1\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110959.276 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 5) to base 3.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 56 = 5*g, -2*g - 2*j = -3*g + 8. Let k = g - 9. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 402671, 806678, 1210685?\n\"Answer: 404007*x - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*q**2*t - 6*o*q**2 + o*q*t - 3*o*t + o + 5*q**2*t + q**2 - 3*q*t + 105*t - 2 wrt q.\nAnswer: 4*o*t - 12*o + 10*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2. Let w be 0\/((-1 - p) + -2). Let f be (2\/4 + -1)*0. Solve f = -w*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5606.\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3975, 18338, 43081, 78204, 123707, 179590, 245853?\nAnswer: 322496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, 707, -4, -3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*f + m - 0*m, 5*f - 154 = -3*m. Suppose -f = -4*l - 9. Suppose 7*c = 6*c + l. Solve 3*j + 26 = -c*u - 5, -4*u - 12 = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 3) to base 11\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 5*y**2 + 6*y + 87. Let c(a) = -a**3 + a**2 - 1. Let k(n) = 4*c(n) + p(n). Does 2 divide k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-893) - 270\/(-282))*11*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 40 = 4*q + 5*y, 0 = -5*q + y - 80. Let l = 126 + q. Calculate the remainder when l is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 86?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.04 (b) 0.15 (c) 2506\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55541991 and 20073.\nAnswer: 20073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 875982 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2358 and 25866?\nAnswer: 3388446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {b: 3, s: 2, d: 2, z: 3, j: 4, g: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 3593*c**4 - 3592*c**4 + 2*c**3 - 2*c**3 - 9*c to the form r*c**2 + p + y*c**4 + k*c**3 + m*c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 35*b - 2. Let d(k) = -104*k**2 - 101*k**2 - 116*k**2 + 318*k**2. Calculate a(d(u)).\nAnswer: -105*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -577*w - 17280. Determine d(-30).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m + 11. Let k(l) = -15*l - 16. Let n(w) = 5*k(w) + 7*y(w). Let u(g) = -g - 1. What is -n(r) + 6*u(r)?\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j + 43*j = -28*j + 29952. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2593, -5197, -7809, -10429, -13057, -15693?\nAnswer: -18337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1359984, 2719966, 4079948?\nAnswer: 5439930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 13 + 19. Let p(y) = y + 11. Let u be p(-7). Suppose -u = -l*j - 7. Which is smaller: 2\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(931))*2 + 0 - (sqrt(931) + -3*-1*sqrt(931) - (-4 + sqrt(931)*-2 + sqrt(931)))) + 0)**2.\nAnswer: 420*sqrt(19) + 8479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 24. Let a = 2 + -1.6. Let u = 384 + -389. What is the third smallest value in 1\/34, u, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 1, -89, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*n = -0*n - 19, 9*u + 159*n + 31 = 160*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88203\/2? (a) -3 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479574292 to the nearest integer?\nAnswer: 21899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*b**3 - 1984*b**2*c + 12*b**2 + 2*b*c + 231*b - 14*c - 510 wrt b.\nAnswer: -876*b - 3968*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 29*g**6\/120 + g**5\/12 + g**4\/24 - g**3\/3 - 6*g**2. Let t be i(-3). Let a = 1122 + t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093*g - 4 = -1127*g + 30 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*z + 97, 2*z - 2*g = 13 + 23. Suppose 0 = -p - 3*i + z, -i + 2*i - 59 = -5*p. Suppose 4 = 4*t, 3*x - t = -0*t + p. Solve -x*y - 7 = 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a - 1. Let k(j) = j**3 - 11*j**2 + 19*j + 1. Calculate the least common multiple of a and k(9).\nAnswer: 110","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 {b: 5, t: 4, q: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 444550114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.4221t in grams?\nAnswer: 236422100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055218961 to seven decimal places.\nAnswer: 0.0005522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose -4*k + 3*j - 8 = -31, -5*j = -k + 27. Suppose k*p + p = 54. Calculate the smallest common multiple of p and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((0 - -1) + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 32 = 3*k, 4*k + 3*w = 4 - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -190 in descending order.\nAnswer: 8, 2, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**4 + h**4 - 17 + 10*h**4 with respect to h.\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 2*d)*(2 - 2 - d) + (11*d + 30*d - 6*d)*(-4 - 4*d + 5*d + 3).\nAnswer: 34*d**2 - 35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -15*d. Let a be l(-4). Suppose f + 2*j = 3*j + 21, 4*j = -5*f + a. Solve 4*p + 4*s + f = 0, -2*s - 12 = -4*p + 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*x + 2*m, 0 = -4*x + 9*x - 2*m + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-242)\/(-10406)*((-9)\/36)\/((1\/(-2))\/(-1))?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 551, 813, 1095, 1403, 1743?\nAnswer: 2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**17\/q)\/q*q**(12\/5))\/((((q**(-8)*q)\/q)\/q*q*q)\/(q**(-4\/3)*q)))**(-2\/7) assuming q is positive.\nAnswer: q**(-722\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 16*f + 45. Let o(v) = v**2 - 5*v + 15. Let l(t) = -2*j(t) + 7*o(t). Let x be l(-8). Let n = 58 + x. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -662683\nAnswer: 3\/662683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -13. What is the units digit of (-2)\/n - 126\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -24*n**3 - 40*n**2 + 4*n + 2. Let m(y) = 24*y**3 + 41*y**2 - 6*y - 3. Let k(c) = -2*m(c) - 3*x(c). What is the third derivative of k(z) wrt z?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j. Let x(c) = -1391*c**2 + 20*c + 10. Let t(g) = 696*g**2 - 8*g - 4. Let o(m) = -5*t(m) - 2*x(m). Calculate o(r(w)).\nAnswer: -2792*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by -34431.\nAnswer: -118\/11477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*21\/(-28))\/2. Factor -21\/4*r + 9\/4*r**2 + a.\nAnswer: 3*(r - 2)*(3*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/14 + -5 - (-2 - -2 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 5*x - l, -3*x + 0*l + 4*l = -165. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let z = -5 + u. Which is the second biggest value? (a) -2\/9 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13312 (base 7) to base 11.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l = -76*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/11 + (399\/77 - 6). Let v be ((-3)\/(-2))\/(j + 124\/16). Suppose 2\/9 + 0*w**3 + 0*w + v*w**4 - 4\/9*w**2 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -8629.\nAnswer: 2588.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5947694 to the power of 1\/2, to the nearest integer?\nAnswer: 2439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13177 + ((-2)\/(-4) - (-7)\/140*-110). Calculate the highest common factor of d and 444.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllzlzzllzl. What is prob of sequence lll?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 36*m - 55 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19636 rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -748\/199 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 141\/11 - (-2)\/11. Let c = q - 18. Let m be (2\/c)\/(4\/(-60)). What is the greatest common divisor of 42 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(15) + sqrt(735)) + sqrt(60)\/sqrt(4)*2)\/(-2*sqrt(108) - sqrt(108) - sqrt(48)*1).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*q**5 - 36772*q**4 - 1207*q - 633.\nAnswer: -340*q**3 - 441264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*q, -3*q - 8 = -4*v + 2. Let a be (-19)\/330 + (-19)\/(-114). Let b = -152\/385 + a. What is the nearest to 0 in 3, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162625 + 148996 = 231*n for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t = 8. Suppose 7 + 3 = 2*j - 2*q, 0 = -t*j - 3*q + 5. Let l = -8 + 36. Calculate the greatest common factor of l and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 43*k**2 - 42*k + 91. Let f be i(-44). Let 1 + 1\/2*x**f - 3\/2*x + 0*x**2 = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 16\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -78. Let z be 21\/2*2\/3. Suppose -z = x - a. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16245744 rounded to the nearest 100000?\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/9 - 467*y\/3 + 280\/9.\nAnswer: (y - 280)*(5*y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000997925 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o - 5*o**2 - o**3 + o**2 + 54 + 3*o**2 + 11*o. What is the smallest common multiple of g(0) and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/37)\/(y*y**(3\/7)*y))\/(y**(-27))**(-1\/36))**(-39) assuming y is positive.\nAnswer: y**(127335\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**7\/1120 + y**5\/160 - y**3\/3 - 4*y**2. Let h(r) be the first derivative of k(r). Solve h(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-135)*8\/((-32)\/(-28))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9 + -1*(-18)\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5415677 + 5.65187.\nAnswer: 6.1934377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/4 + 49*i**2\/4 + 257*i\/2 + 210 = 0. Calculate i.\nAnswer: -35, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*6\/54*22\/2. Solve -2*j + 5*d + 8 = 0, a - 2 = j - 5*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -649.1521 - -0.1521. Let w = k + 640. What is the biggest value in w, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:18 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 76*j**4 - 27*j**4 - 122*j**4 - j**2 + 72*j**4 + 40*j - 2*j**3 to the form h*j + d*j**3 + f*j**4 + n + k*j**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(63\/(-6)) + 1184\/222. Let o = 40 + -38. Determine g so that -a*g - 8*g**o + 3\/2*g**3 + 0 = 0.\nAnswer: -2\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57.17724 and -22?\nAnswer: -1257.89928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssshhhsssss. Give prob of picking 1 h and 3 s.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772.983384 rounded to 1 dp?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4795*c**2*l**3 - 2*c**2*l + 48*c**2 + 125*c*l**3 - 2*c*l**2 + 2*l**3 - l - 4043 wrt l?\nAnswer: 28770*c**2 + 750*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1264.1 - 616959.504\nAnswer: -618223.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 4*y + 2*y)*(-126 - 598 - 108 + 153) to the form m + g*y and give g.\nAnswer: 2037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 47, 130, 287, 542?\n\"Answer: 4*n**3 + n**2 + 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22 (b) -70 (c) 1\/6 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + -2 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1197.502177 - -16.452017. Let c = x + 1181. Let v = 0.052 + c. Round v to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12456 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: Calculate the remainder when 212870 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 1:26 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 122223335 to the power of 1\/2, to the nearest integer?\nAnswer: 11055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 95\/(-30))*(-6)\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 4*v - v)*(-4*v + 0*v + 2*v) - 5 + 5 - v**2 - 25*v**2 + 52*v**2 - 16*v**2 to the form i*v**2 + k + q*v and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 equal to 72600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69380, -138790, -208228, -277694, -347188, -416710, -486260?\n\"Answer: -14*r**2 - 69368*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-2 + 0)\/2). Suppose 2*v = o + 4*o - 15, s = -o + v + 3. Differentiate b**o + 2 - 8 + 0 + 5*b**3 wrt b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39860 less than -28184?\nAnswer: -68044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 + 0.51. Let c = i + -46.18. Let w = -46.2 - c. Put 5, -5, 4, w in decreasing order.\nAnswer: 5, 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 69 = -29*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 2, v: 2, j: 1}. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -7 - 21. Solve l*c = 4*m + 24, 2*m = -3*c + 1 + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -230\/7 (b) -4\/7 (c) 0.3 (d) 5 (e) -2\/7 (f) -2\/9 (g) 0.128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 1, c: 4, j: 3, g: 3, z: 2}. What is prob of picking 2 g and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*r**4 + 2*r + 2*r**3 - 74*r**4 - 2*r**2 + 25*r**4 + 8*r + 24*r**4 - 2 to s + p*r**4 + n*r**2 + y*r + v*r**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 417.20062 + -416.8. Let y = 0.4 - f. Round y to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:56 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42*(-20)\/(-1470))\/(1*2\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 21*k + 12 = 0, -6*j - 3*k + 393 = 0. What is the highest common factor of j and 1408?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383119?\nAnswer: 419, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 24452 = 15*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1940\/260 + (21 - 23) + (-5 - 510\/(-78))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**8\/84 - 169*i**7\/210 - 159*i**6\/20 - 497*i**5\/15 - 199*i**4\/3 - 48*i**3 + 1603*i**2. Factor c(w).\nAnswer: -(w + 2)**3*(w + 36)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g - 6. Let t(n) = -17*n - 11. Let j(u) = 11*i(u) - 6*t(u). Let q(x) = 0 + 0 - 1792*x**2 + 895*x**2 + 891*x**2. Determine j(q(z)).\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 77\/33)*(0 - 0). Let d = 17 + -12. Solve 0 = -k + 3*p + 2, 4*k + t*k = -d*p + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 189*n**3 + n**2 + 56*n - 12. What is the thousands digit of h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -g - 40506, -18*o + 13*o + 40510 = -5*g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15585793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 2:19 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 9*t**2 - 8*t - 19. Let n be k(10). Let s(p) = 6*p**2 + 2*p + 1. Let j(z) = z**2 + 1. Give n*s(o) - 5*j(o).\nAnswer: o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54237 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0 + 23*u - 1\/15*u**6 + 0*u**3 - 7\/6*u**4 + 0*u**5 + 29\/2*u**2. Find the first derivative of c(v) wrt v.\nAnswer: -8*v**3 - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4861593383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022021011020 (base 3) to base 13.\nAnswer: -1b3c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 26556*r**2 + 42953580*r + 3750378572.\nAnswer: 4*(r - 3361)**2*(r + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0451938 millimeters in centimeters?\nAnswer: 0.00451938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 279332 + 93113 + 93120 + 12*g + 93099.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y + 5 = -50*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3466 + 2396. What are the prime factors of ((-2)\/(-4))\/(5345\/l - -5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 680\/(-748) + (-3219870)\/(-66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -1\/12*x**4 + 0*x - 1\/120*x**6 - 2\/15*x**5 + x**2 + 0 - 1\/2*x**3. Suppose 0 = 3*i + 65*l - 69*l + 24, -3*l = 0. Give v(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10 = -30. Let i be 0\/2 - 3\/2*-4. Let k(n) = 2*n**2 - 5*n + 5. Let q(a) = 2*a**2 - 6*a + 6. What is i*k(w) + s*q(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 55*c - 171. Give a(19).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 2. Let g = 0.5 - s. Let t = g - 0.3. Which is the closest to -1? (a) t (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181.82 + -181.81997634. What is i rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8557.976 milligrams to grams.\nAnswer: 8.557976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.84 + 10.8983. Let f = -0.0583 + t. Which is the closest to f? (a) 3\/5 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (24 - 10 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2083\/600 - -87\/25. Let x(o) be the third derivative of 18*o**2 - 1\/240*o**6 + 0*o + 5\/48*o**4 + s*o**5 + 0 + 1\/4*o**3. Factor x(d).\nAnswer: -(d - 3)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-6) + -6*(-6)\/24. Let m = 15 - 11. Let i(o) = -p*o + 5*o + m*o. Give i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1478, 624, -1 in decreasing order.\nAnswer: 624, -1, -1478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, t: 2}. What is prob of sequence ttgg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 22\/9, 269 in descending order.\nAnswer: 269, 5, 22\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170b (base 14) to base 11.\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:32 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947841961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 106859 = -107471 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3199 + 3196. Let f = -8 + -15. What is the third smallest value in -0.2, f, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:35 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/5))\/b*b*b*b**8\/b*b)**28 assuming b is positive.\nAnswer: b**(1372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 + -164. Let u(h) = -h**3 + h + 4. Let x be u(0). Suppose -x*l + 18 + 2 = 0. What is the least common multiple of i and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**2 + 43*s**2 - 13*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1 + 3)*103. Suppose 12*z + 62 = 86. Suppose f - 27 = z*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18216*6.75.\nAnswer: -122958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 + 5 - 24*y**2 - 5.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 568590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 16. Let u(x) = -x**2 + 13*x - 31. Let q be u(8). Which is bigger: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*v - 49*v - 4. Let s be 3 + -1 - v - (5 - 3). What are the prime factors of (-2119)\/(-26)*(s - 0)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110100001110 + -10?\nAnswer: 1110110100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70753 - 15022.\nAnswer: -85775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4939c8 (base 14) in base 11?\nAnswer: -1462784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -7) + -3 + -3 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1036 and 44.\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -4, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*x + 30, 0*x - 30 = 3*v + 4*x. Let s be 6\/2 - 12\/6. Let r be (-5)\/(s + 12\/v). Solve 3*y + 2*y = -r, -3*y = 4*f + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 2632*t - 2. Let y(k) = 2*k. Determine y(i(z)).\nAnswer: 4*z**2 + 5264*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 - ((19 - 1) + -1)) + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 0*q**2 + q**3 + (-66 + 2*q + 66)*(4*q**2 - 12*q**2 - 7*q**2) + 2*q - q**3 - 2*q.\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5 - 3. Sort 3, 4, l in decreasing order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12+-2489.927768\nAnswer: -2477.927768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (-6 + 5)*13. Find the second derivative of 11*o**4 + 7*o + w*o - 15*o**4 - 31*o**4 wrt o.\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/18759738 and -33\/43772722.\nAnswer: 131318166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17111?\nAnswer: 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/7306255 and -81\/710.\nAnswer: 14612510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13425689 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: Round -125606.9 to the nearest 100.\nAnswer: -125600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (240 - (209 - 126))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -2132?\nAnswer: -4264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 s when three letters picked without replacement from kffsjmcmj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adyyadyya. What is prob of sequence ydy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 16. Let s be o(10). Let d be (s - 2)\/(38\/551). Solve 0 = -2*b + 3*p + 10 - 32, -d = 5*b - p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.3 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 - -3 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105678847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/7 - -99\/35. Let g = 3.07 - -138.93. Let s = g + -145. Put s, 1, q in descending order.\nAnswer: 1, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2354022*n**3 - n**2 + 2353955*n**3 + 3*n**2 + 2*n**4)*(2*n + 2 - 2).\nAnswer: 4*n**5 - 134*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n + 3. Let r be (-92)\/(-24) - n\/(-12). Suppose 0 = 5*c + x - 128, c + 0*c - r*x - 34 = 0. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12048 - -12070. Which is the second biggest value? (a) -1\/4 (b) y (c) 13.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 28*q + 73. Calculate the remainder when 450 is divided by s(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -881, -882, -883, -884, -885, -886?\n\"Answer: -q - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 8*i**2 - i - 3. Let t be v(-8). Suppose -37*o + 71 = -3. Solve -t*k - 5*h = -o*h + 4, 2*h = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2. Let g(b) = 2*b**2 - b - 1. Let f(s) = -3*s**2 - 2*s - 2. Let u(a) = 3*f(a) - 6*g(a). Determine u(v(t)).\nAnswer: -189*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 15*n - 1. Let s be b(-15). Let a(k) = k**2 + 2. Let y be a(0). Let p be (y - -1) + (2 - 4). Sort p, s, 5 in descending order.\nAnswer: 5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u**4 - u**3\/3 + u**2\/2 + u - 290. Suppose 4*d - 1 = -5. Calculate p(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2. Let p(y) = 264845660*y**2. Give p(u(j)).\nAnswer: 1059382640*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 15) to base 12\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 604801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3735, 3758, 3833, 3966, 4163?\nAnswer: 4430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 8*j**4 + 2*j**2 - 30*j**3 + 30*j**3 to the form x*j**2 + d + f*j + k*j**4 + b*j**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 3*d**2\/2 - 101*d - 1429. Calculate m(40).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13959*r**3*t**4 - 3*r**3*t**3 + 34376*r**3 wrt t.\nAnswer: 55836*r**3*t**3 - 9*r**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 30 = 2*p, -4*p - k - 9 + 33 = 0. Suppose p*q - 183 = 82. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 631954 or 631590?\nAnswer: 631954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x + 5. Calculate the common denominator of ((-2)\/((-4)\/29))\/(-3) and x*((-1043)\/(-12))\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -0.0754 (c) 0.2 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-44)\/(-15) + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 187*c**2 - 10422*c - 2795. Determine y(56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45074772 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.5 + 3.5. Suppose -3*t + 7*t = -24. Let j be (-24)\/374 + t\/51. Which is the nearest to k? (a) 0.4 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u + 8 + 0*u - 14*u. Let l be a(-1). Suppose 6*i + 5*i - l = 0. Solve -4*y = q - 5*q + 16, 11 = -3*y + i*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 10 + 30, 3*a = 3*u - 90. Let d be 160\/(-7) + 5\/a. Sort d, -2, 1 in descending order.\nAnswer: 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -10 + -6 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 (base 3) in base 5?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44 and 0.39?\nAnswer: 17.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 153425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943493285.\nAnswer: 5, 7, 17, 359, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + 2 + -2 - (-38 + 26 + (48 - 46))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41401509.8 + -41402309.023227. Let w = 832.2232 + p. Let y = -33 + w. What is y rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516 - -390 - -92) + -6 + -1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.629 take away 0.019332?\nAnswer: -17.648332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.4 - -8.3. Let h = a - -147.1. Let l = 142.9943 - h. What is l rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721956789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14831, 14922, 15159, 15614, 16359, 17466, 19007, 21054?\nAnswer: 23679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -15. Let v be -3*a\/15*-15. What is the highest common factor of 63 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + -67. Let n = b - 44. Suppose 2*c + n = t, t + 4*c - 3*c - 27 = 0. What is the remainder when 45 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-1250))\/((-146)\/(-105850)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434099 is divided by 1794?\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) -2\/55 (b) 7 (c) 0.04 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 16. Let y be z\/21*6\/4. Which is the third biggest value? (a) y (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55835, -65185, -74535, -83885, -93235?\n\"Answer: -9350*t - 46485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-27)*(-18)\/(-10) - (-18)\/45. Let n = 2.6 + -3. Put 5, -1\/5, n, o in ascending order.\nAnswer: n, -1\/5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 340*g**3 + 1 + 336*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -18. Let v(q) be the third derivative of q**5\/60 + q**4\/6 - 2*q**3\/3 + 3*q**2. Let k be v(-4). Sort k, -2, f.\nAnswer: f, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68474, 136948, 205422, 273896, 342370?\nAnswer: 410844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 343450714.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/5 + 11356*c\/5 - 11358\/5 = 0.\nAnswer: -5679, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2*w**3 - 3*w**3 - 9.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.22 + 0.22. What is the nearest to 0.2 in c, 1\/12, -1\/5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5837834342.\nAnswer: 2, 661, 1163, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*u - 112 - 80. Let j(g) = -2*g**2 + 14*g - 26. What is the common denominator of 26\/89 and j(u)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*o + 66*o - 135 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*k - 15 = 0, 2*v = -3*k - 1 - 8. Let l(n) = n + n + v*n + 0*n. Let h(m) = 608*m**2. Give l(h(u)).\nAnswer: 1216*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4193 + 20?\nAnswer: -4173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -851 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13711, -54785, -123237, -219061, -342251?\n\"Answer: m**3 - 13695*m**2 + 4*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-32 - (-5 + -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = -3*h + 2*h, -26 = 4*h + 5*l. Let q be 3 + -8 - (h + 1). Which is the second smallest value? (a) 5 (b) -0.8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 >= -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -3. Suppose 2*f = j, -17 = -2*n - 2*f + 3. What is the remainder when n is divided by 6 + (-3 - 1\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11017 is divided by 1379.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)\/u*u**(1\/4))\/(u\/(u\/((u*u\/(u\/(u*u*(u\/(u*(u*u*u**(-1\/7)*u)\/u))\/u*u)))\/u)))**(-4\/13) assuming u is positive.\nAnswer: u**(-1649\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81, 361, 831, 1491, 2341, 3381?\n\"Answer: 95*p**2 - 5*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-86)\/30)\/(276\/1610)*3. Sort 0, -1\/6, f in ascending order.\nAnswer: f, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*l = -40, 8*q - 7*q - 10 = -5*l. Solve i + q = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01252 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 r when four letters picked without replacement from {f: 7, r: 9}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6417 divided by -1\nAnswer: -6417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -36*m + 5. What is the tens digit of z(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1*sqrt(5) + -1 - sqrt(5))**2 + (sqrt(5) - (((sqrt(20)\/sqrt(2) - sqrt(10)) + sqrt(10))\/sqrt(2))**2).\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 + 0*d**3 + 7*d**3 - 2*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - p - 1. Suppose 4*k + 330 = k + 3*h, 595 = -5*k - 4*h. Let q = -110 - k. Suppose 0*f + 4*f = 8, -q*u + f = 7. Give t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2378808, -4757610, -7136408, -9515202, -11893992, -14272778?\n\"Answer: 2*c**2 - 2378808*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 27*d + 16. Let h be x(6). Solve h = -11*k - 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -2 - (-163 + 139)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y - 174. Let m be t(29). Suppose -5*d - 3*u + 642 = m, -2*d - u = -0*d - 257. What are the prime factors of d?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) + 77\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 774613 and 574?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*a**2 + 42*a**2 + 13*a**2 + 38*a**2 - 18*a + 29*a - 11*a.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49300 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 1. Let c be f(3). Let h = -2 + c. Is 15 a factor of (h - 2)*-3*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127054 is divided by 566?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/143*(36025\/(-50))\/(-131).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -10*o. Suppose o = -5*p - 2*g - 3 - 3, -p - 12 = 4*g. Is -4\/9 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*3*10. Let m = 25 - f. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m + 156 = 0. Let y = m - -30. What is the tens digit of -2*(-2 + -2 + y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 4, 298?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -606647?\nAnswer: -606646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(162) + (-3 + sqrt(162) + 3 - sqrt(162)) + 4*sqrt(162)*1 + 2))**2.\nAnswer: 4500*sqrt(2) + 101350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8576, 34601, 78020, 138827, 217016?\n\"Answer: -v**3 + 8703*v**2 - 77*v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (5 + 1*sqrt(192) - (sqrt(192) - (0 + sqrt(192) + (sqrt(192) - -2*sqrt(192)))))**2.\nAnswer: 320*sqrt(3) + 3100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1513)\/(-42) + -2 + (-312)\/364. Which is smaller: t or 34?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 88 + 248. Suppose 5*l - p = -12. Suppose l*j - 25 = -j. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477, -1032, -1655, -2382, -3249?\nAnswer: -4292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-4 - 65\/(-15)). Suppose 5*d + t = -2*s + 27, 4*s + 4*d - 44 = 0. Calculate the highest common factor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102022 (base 3) to base 6.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57369*c**4 + 60*c - 287 wrt c.\nAnswer: -688428*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 0.086, -3, 0.44?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6*s - 17*s + 24696 = 0. What is the highest common divisor of s and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -47b615?\nAnswer: -47b611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 1. Let z be o(1). Let m(d) = 4*d**2 + 2*d + 1. Let s be m(-1). Suppose s*t = t - 4*y, z = 3*y + 9. Solve 2*i = -0 + t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 15*v**2 - 208*v + 67. What is the hundreds digit of j(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284*i - 1998*i - 2701*i - 2568*i + 143.\nAnswer: -8551*i + 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1*21\/44)\/(-42*(-7)\/(-1008))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/5 + 158*m**3\/5 + 3108*m**2\/5 + 10504*m\/5 + 9856\/5 = 0. What is m?\nAnswer: -14, -2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 1456.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72648895 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (4 + -2*sqrt(243))*-3*1*5)*-5)**2.\nAnswer: -783000*sqrt(3) + 5551600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -3, -4, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2053671794 to 4 dps.\nAnswer: 0.2054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/10 + 5*p**3\/3 + 2*p**2 + 31*p. Let s be t(-3). Let y = s + -26. Solve -y*z - 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2978123.\nAnswer: -11912492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-4*(-4)\/16*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/12 + 4*w**3\/3 + w**2\/2 - w - 382. What is y(12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 81. Suppose w*d + 4*x + 5245 - 40977 = 0, 5*d - 44679 = 2*x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 12\/(-2 + 0). Let m = -1973 - -1969. What is the closest to 0 in o, m, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**3\/3 + 3*b**2\/2 + 4*b + 2. Let v be c(4). Factor 0*h**3 + 3*h + h**3 + 3*h**2 + 1 + v*h**3.\nAnswer: (h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 5. Let t(z) = -4*z + 5. Let g(o) = -5*h(o) - 4*t(o). Let n be (-5 + (-22)\/(-4))*(-3 + 3). Calculate g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 454 - 452. Solve r - 6 = -n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 132436444?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 - 2104*y - 28268. Give x(-13).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -378*r**2 + 369*r**2 - 9*r - 2*r**3 - 2*r**3 + 3*r**3 - 15. What is m(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010100111 (base 2) to base 9.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115582429 to the power of 1\/2, to the nearest integer?\nAnswer: 10751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 - -0.02. Let b = 0.053 + c. What is b rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -22. Let f(b) = b - 7. Let p be f(w). Let h = p + 19. Solve -20 = 4*v - h*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + l)*((-6*l + l + 3*l)*(3 - 2 + 1) + (-2*l + 2*l - 4*l)*(-74 - 33 + 26)).\nAnswer: 320*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 87 - 82)*(1 - 2 + 0)*(3*s - 1 + 2 - 2*s).\nAnswer: 194*s + 194","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -41. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 47*z**2 - 54*z - 225. Determine x(22).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 0*g - 2 - 3. Let p be b(5). Sort -3, 1, p in ascending order.\nAnswer: -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-25)*7\/21.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/17)*b**0*b*b**(-4))\/(b**(1\/5)*b*(b*b**(-1\/4))\/b*b**(-1\/2)) assuming b is positive.\nAnswer: b**(-1253\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 5680 - (1\/(-1) - -11) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354 - 109 - 142 - 103 + 8*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289.78 + 283.78. Which is greater: x or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let u(i) = -i**2 - 5*i - 5. Let s(b) = -3*u(b) + 15*y(b). Let q(g) = -26*g. Give q(s(c)).\nAnswer: -78*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5744?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:40 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - c**4 - c**4)*(-42 - 48 - 40)*(-7*c - 66 + 66).\nAnswer: 1820*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 4. What is the smallest common multiple of 20 and q(5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/(-451))\/(47\/(-11)).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 2, h: 3, k: 5, f: 6, n: 2, d: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1348654 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-152992)\/(-1232) - -1*2\/(-11). Solve b = 17*o + 39 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Let y(i) = u - i - 12 + 7. Let h(b) = 2*b - 1. Give h(o) + y(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -w + 21. Let p = 67 - w. What is the remainder when (37\/3)\/(1\/3) is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0536 and 4.\nAnswer: 0.2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xxxxxggggg.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 less than 12508?\nAnswer: 12509.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*h + h + 9, -10 = -4*h + 2*y. Suppose -2*m = -h*b + 280, -4*b + 280 = 2*m + 2*m. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 2. Let b(a) = -2*a**2 + a - 4. Give -4*b(n) - 9*w(n).\nAnswer: -n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 2020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u - 320. Let z be l(30). Solve 0 = 2*f + 4*m, 4*f + 0*m + 3*m + z = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -190 + (119 - 57) + -10 + 3 + -8?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05207 - -0.1832. What is x rounded to 3 dps?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3596 + 3596. Which is the nearest to -0.5? (a) -2\/11 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -162.77? (a) -1\/13 (b) -0.3 (c) -0.5 (d) 0.5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 1450293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 11:30 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1327 - -1322. Let z(l) = 7*l + 2*l**2 - 1 - l**2 - 2*l**2. Let b be z(7). Sort b, o, 1.\nAnswer: o, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048708 to 4 decimal places.\nAnswer: 0.0487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 265.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3363037.57302 minus -22?\nAnswer: -3363015.57302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 12, 2*o - 8 = 5*i - 36. Let y be 16\/i + -4 - -3. Suppose 0*n - 5*n = d - 68, -32 = -y*n - 5*d. Is 13 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7429312 - 3714652 + 3932*w**2 - 3714660.\nAnswer: 3932*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 276640580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 19*o**2. Let x(b) be the third derivative of -b**5\/12 + 60*b**2. Calculate r(x(a)).\nAnswer: 475*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/3? (a) -5 (b) 12 (c) -0.4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -93 + 35 + 49\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + 0*b)*(6 - 2 - 2) - b + b + b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 131*x**2 + 578*x - 23739. Give s(134).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m + 1. Let u(v) = -2*v**3 + v**2 + 2*v + 1. Let n be u(m). Let t be ((-2)\/n)\/2*-26. Solve -3*q - 2*c + 3*c = -t, 3*q + 2*c = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3055, 6158, 9301, 12490, 15731, 19030, 22393?\n\"Answer: n**3 + 14*n**2 + 3054*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*d - 39. Let m = d + 56. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 398\/130)\/((-2)\/5)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*b - 1 = 0, -9*b = -4*z - 8*b + 61. Are z and 40\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/10*195\/(-78)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (2 + -3 + 7). Let l be (64\/(-112))\/(m\/14). Let c(w) = -5125002*w**2 + 5*w - 2. Let z be c(l). Round z to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43435 divided by -2555?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 2*d - 4. Let v be l(2). Let h = v - -4. Let b be (-2)\/(-5) - (252\/(-45) - h). Solve b*q + 10 = 4*u, 3*u + 2*q + 2 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -14*b + 2. Let p(m) = 29*m - 5. Suppose 242 = -3*d + 137. Let l be (-13)\/234 - d\/(-18). What is l*p(g) - 5*k(g)?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 913 - 1172. Calculate the greatest common divisor of 999 and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-19) + (-282456)\/(-342)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 770*c**4 - 5*c**3 + 7*c**3 + 87*c - 488*c**4 - 2*c**3 wrt c?\nAnswer: 3384*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 - 38*r**2 + 6. Let o(v) = v**2 - v - 1. Let f(c) = -7*c**2 + 3*c + 3. Let u(t) = 4*f(t) + 12*o(t). What is g(u(n))?\nAnswer: 256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -0.1, 1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 22*f**3 + 2*f**2 - 8*f + 45. Is n(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 154752403\nAnswer: -4\/154752403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d + 3*w = 0, w = -5*d + 17. Let n be (-2)\/d*12\/(-8). Let u = n + -3. Which is the closest to 3? (a) -1\/5 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/13 + 602*b**3\/13 - 17582*b**2\/13 - 153258*b\/13 = 0 for b.\nAnswer: -7, 0, 41, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c - 43. Let k be l(5). What is the nearest to 0.1 in k, -3.2, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*-5*(-2 + (sqrt(80) - (sqrt(80) + (sqrt(80) + 0)*-3 - sqrt(80)))**2).\nAnswer: 31951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001970224 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 27) + -3 - -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*k = -89*k + 40. Suppose -k*l + h + 1916 = -1152, -3*h - 2461 = -4*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2726, 9738, 21098, 36800, 56838?\n\"Answer: -j**3 + 2180*j**2 + 479*j + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-7833.\nAnswer: -281988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18908 - 12621. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -134. Let v be x\/4*(-96)\/(-252). Which is the closest to 1? (a) -0.5 (b) 9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715586.\nAnswer: 2, 357793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132814 = -5*v - 11*v - 41406. Is v a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.04153 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 891 (b) -4.3 (c) 1\/28 (d) -4\/5 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*s + 407, -s - s = -5*x + 672. Let a = x + 128. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 114 = 5*y. Let i = 7 - y. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/50 + -8 + 7 - (-97)\/(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*r - 456*r - 4504 = 155*r. Let z(m) = -m + 1. Suppose -j + 4 = 4*x + j, x + 2 = -2*j. Let a be z(x). Put 1, a, 0, r in decreasing order.\nAnswer: 1, 0, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = -24. Suppose 7*k - 5*k - f = 0. Suppose -2*n + 29 + k = 0. What is the greatest common divisor of n and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276607491 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10814 - -10807. Which is the nearest to 4? (a) 4 (b) u (c) -20\/3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35395, 34989, 34577, 34153, 33711, 33245?\n\"Answer: -o**3 + 3*o**2 - 408*o + 35801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*y**5\/7 + 26034*y**4\/7 - 142788*y**3\/7 + 36714*y**2 - 19032*y - 30024\/7 = 0. What is y?\nAnswer: -1\/6, 9\/5, 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11971 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7)**(-1\/78) assuming h is positive.\nAnswer: h**(-7\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 399a + 137?\nAnswer: 3b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*k**3 - 278*k**3 + 805*k**3 - 264*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**2 + 4*w**2 - w**5 + 5*w**5 + 2*w**2 wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35801, -35902, -36061, -36272, -36529, -36826, -37157?\n\"Answer: a**3 - 35*a**2 - 3*a - 35764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885331.\nAnswer: 885331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4 - 4*v**3 - 19*v**2 - 14*v = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:17 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.016.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 21. Let y be i(20). Let j be (y - (-11)\/1) + 2 + -4. Solve -4*p - j = -5*v + 7, -5*p - 23 = -2*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = -15*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -5 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 + 7 + 0 + k**3 - 3*k**2 + 3 - 7*k. Let o be s(4). Let v(t) = t**2 - t - 4. Give v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81320, -81305, -81290, -81275, -81260, -81245?\n\"Answer: 15*g - 81335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/841 - 51345\/18502. What is the common denominator of -41\/2 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58513652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 10 - -22) + -43?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.017 and 21.885.\nAnswer: 22.257045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -110, -196, -282, -368?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(117\/1))\/((-12480)\/7488)\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k\/(k\/(k**1\/k)*k))\/(k\/(k**1*k))**15)\/((k**(-3)\/(k\/k**(-3\/4)))\/(k**(-2)*k**(2\/17))) assuming k is positive.\nAnswer: k**(1147\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246*u**2 + 22 + 24 + 22 - 70 to z*u**2 + f*u + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2 (c) 3\/2 (d) -4 (e) 53\/8 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 14 = -3*f - 5*b, -f + 10 = 4*b. Solve f = j - 2*x - 3, 0 = 3*j - 4*x - 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6423 and -355.\nAnswer: -2280165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/13285230 and -139\/39855690?\nAnswer: 39855690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c + 4*n + 124 = 0, c - n + 39 = 0. What is the remainder when 0 + 10\/c + (-1152)\/(-14) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12, 2\/17, 0.2, -19, 14, 0.04, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*1)**2 - (-5 + (sqrt(1872) - sqrt(1872)*2)).\nAnswer: 12*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 - 24*n - 7. Let u = 63 - 57. Let z be g(u). Suppose 5*i - 19 = -3*d + 18, 3*d = -4*i + z. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2042422, -2042527, -2042632?\nAnswer: -2042737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34445 + 35805 = 9033*d + 73624 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*j**2*m**2*v - 4*j**2*m**2 + 34266*j**2*m*v - 47*j*m*v + 2*j*v + 121*m**2*v + m**2 - 18*v - 2 wrt j?\nAnswer: 38*m**2*v - 8*m**2 + 68532*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(-36)\/(n\/(n**3*n)*n**18) assuming n is positive.\nAnswer: n**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from tgctc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose 0 = -r*d - d - 6. Let v = d + 11. Solve -v*l + 2 = 2*y - 4, y + 2*l - 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 88*p + 2. Let t be z(2). Let v = t + -2672\/15. Put v, -1\/6, 0 in decreasing order.\nAnswer: 0, v, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6147 * 0.04.\nAnswer: 0.104588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -82.6 times 6.7\nAnswer: -553.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-38) + 468\/247. Suppose -12270521 = -l*p + 3*m, -3*p + m - 1613151 = -20018929. Suppose t + 20235259 - p = 0. Round t to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 1. Suppose -v + 4 = -0. Suppose v*w = -0*w + 20. Let r(c) = -6*c**2 - c - 6. What is w*t(p) + r(p)?\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1097 or -1114?\nAnswer: -1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4665 (base 7) to base 11\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 13*o - 52 = 7*r - r, 8*o + 20 = 3*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3344, 12795, 28352, 50021, 77808, 111719?\n\"Answer: l**3 + 3047*l**2 + 303*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (39 + -27)*-149*3\/(-4). Let y = -784 + n. What are the prime factors of y?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105595267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -3, -98.2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 28 = -38 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174965, 174968, 174971?\nAnswer: 174974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99193334 - -3255337.\nAnswer: -95937997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 378 + -274. What is the common denominator of (12\/10 + 0)*(-26)\/h and 91\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-126 - -126)\/(-1 - 1). Solve -3*t + 5*a - 1 - 13 = 0, b = -5*t + 3*a - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 12*j + 1. Give n(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 3*s**4 + 0*s**4 + (-s - s + 4*s)*(1 - 2*s**3 - 1) + 2*s**3 - 2*s**3 + 2*s**4 + 2*s**4 + 3*s**4 - 1 - 4*s**4.\nAnswer: s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 10*w**2 - w - 6. Let s be g(-10). Let d be 2*15 - (s + -2). Let l = 2 - -3. Solve 0*k + 2*k + 4*b - d = 0, 5 = l*k - 3*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8034030821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -20*h**5 - 20*h**4 + 55*h**3 + 100*h**2 + 55*h + 10 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j**2 - j. Let r be f(1). Suppose r = c - x - 6, -23 = -5*c + 4*x + 6. What is the remainder when 19 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5300 in -4, 0.5, 0.2, 1, -9.994?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/((-243)\/36))\/(3*3\/414). Which is smaller: -182 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, -2, 527, -4, 3.\nAnswer: -27, -4, -2, 2, 3, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 29*g**2 - 10*g + 9. Let c be u(-5). Suppose -o = -1, 5*l - 1443 - c = -2*o. List the prime factors of l.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 + 12*q + 2. Let s(o) = -7*o**3 - 22*o - 4. Let g(f) = -11*p(f) - 6*s(f). Let n(j) = j**3. Determine -g(d) - n(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 42 = -3*q, 199*q + 75 = 203*q - 5*u for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/i)**(-44) assuming i is positive.\nAnswer: i**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38600 = 9*c - 7*c. What is c rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -31, 0.5, 2\/9, -82.2, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280381060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8161\/120 + -68. Let b(r) be the third derivative of -c*r**6 + 0*r + 1\/12*r**4 + r**3 + 0 - 1\/15*r**5 + 2*r**2. Determine b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -520524*o**3*q**2 - 12*o**2*q**2 - 28*o**2*q - 17*o + 2*q**2 wrt o?\nAnswer: -3123144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88128 times -2?\nAnswer: -176256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 25*d**2 - 4210*d + 1680 = 0?\nAnswer: 2\/5, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.5. Let d = -9 - -39. Let h = 32 - d. What is the third smallest value in 0.2, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -h + 7*h. What is the smallest common multiple of 12 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*w - 36*w + 5. Put -1, w, -109 in descending order.\nAnswer: -1, w, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 22984?\nAnswer: -11492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 1337. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(110)\/(-2*sqrt(5)))\/(-3*(sqrt(2) - 2*sqrt(2))))**2 + (3 + (sqrt(396) + 0 - sqrt(396)))**2*6*-5.\nAnswer: -8809\/36 + 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from {p: 5, g: 2, z: 3, u: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030\/18 + (-5 - (-129)\/27)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3448114 - -7533014. What is i rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7*k - 20 = -2*k, -2*k = 0. Suppose -l*d = -d. Solve -3*g - 9 = -d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4170837 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 38, 43?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2*f. Suppose f*t = t. Let v(u) = u + 3. Calculate v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 20*t\/3 - 100\/3.\nAnswer: -(t - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 15*v + 38. Let t be j(-11). Let s be (2 - 1)\/((-3)\/t). Let c be ((-23)\/10 + s)\/((-238)\/(-35)). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3775530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itt when three letters picked without replacement from {i: 17, t: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 10.0044.\nAnswer: 9.7044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13229 is divided by 509.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -358 (b) -0.2 (c) 0 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 7*b**2 - 9*b + 9. Let a be y(-5). Let r(o) = o + 9. Let i(z) = -z - 1. Let h(s) = -3*i(s) - r(s). Determine h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(((-91)\/117)\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in 0.5, 228, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*i + 29*i - 129. What is the remainder when i is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/5 - 476368*z**3\/5 - 30005892*z**2\/5 - 630086688*z\/5 - 4410477162\/5 = 0. Calculate z.\nAnswer: -238121, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2284\/749 - -10\/107. What is the closest to -2 in 0, m, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 18 = 4*g, 0 = -g - a + 1 - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 8*s**2 + 7. Suppose 0*d + 32 = -4*o - 4*d, 0 = -d. What are the prime factors of l(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, -1 in descending order.\nAnswer: 5, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*w + 15, -16*w = 4*i - 11*w + 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/9, -1\/7, -1\/2, 0.6, -3 in ascending order.\nAnswer: -3, -1\/2, -1\/7, 0.6, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*26 + (-21)\/7. Let g be (h\/2 - 4)*2. Let q = -15 + g. Solve q = 2*t - 0*t - 2*i + 6, 14 = -2*t + 4*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1. Suppose 4*l = 9*l - 10. Suppose l*k + 2 - 4 = 0. Let a(p) = -p + 2. Give k*a(w) - 3*u(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213974121.\nAnswer: 3, 17, 31, 41, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13745.44 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -88769176\nAnswer: 35507670.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68.80858 - 44.01581. Let v = -24.8 + a. Round v to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049172127 to 7 decimal places.\nAnswer: -0.0004917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4337882 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*q - 0*q - 59167, -5*d - q = -73995. Is d a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*u**2 + 366*u**3 - 94*u - 151*u**2 + 46*u + 47*u wrt u?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201 and 6499.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -520\/11 - 384\/11*h - 2\/11*h**3 - 6*h**2.\nAnswer: -2*(h + 2)*(h + 5)*(h + 26)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1661 - 1229*y + 1661)*(3*y**3 + 0*y**3 - 13*y**3) in the form h*y**4 + g + o*y**3 + m*y**2 + k*y and give h.\nAnswer: 12290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1250202 + 1?\nAnswer: 1250203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3524*o + 145661 = 8225 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*n - 3380*n**2 - 6*n + 10*n**3 + 3383*n**2 in the form c*n + m + y*n**2 + o*n**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 11 - 2, 23 = 4*f - 5*k. Find the third derivative of -2 - 501*z - 499*z + 41*z**f + 1000*z - 129*z**3 wrt z.\nAnswer: -774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 358 - 358 - (17 + -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(187) + sqrt(187))*-1)\/((-2*sqrt(66))\/sqrt(6)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:47 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/9)\/((-4)\/(-420)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9397, -5, 0 in increasing order.\nAnswer: -9397, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 2036 - 2248 = -7*y. Solve 34*m = y - 58 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28882 is divided by 9501?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (64 + -59 + -9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*i - 56, 3*s - 2*i + i - 26 = 0. Is (12\/(-5) + 0)\/(s\/(-275)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4038*h**3 - 6049*h**2 wrt h.\nAnswer: -24228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/5 - 278*z**3\/5 - 5076*z**2 - 724552*z\/5 + 3322336\/5.\nAnswer: -(z - 4)*(z + 94)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Let d be -1 - v\/(-4)*10. Solve -26 = d*p + 5*k, -3*k = -3*p - 2*k - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*k + 2512*k**2 - 376*k - 424*k**2 - 133*k wrt k?\nAnswer: 4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866552 is divided by 65.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97260 divided by -2.\nAnswer: 48630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a. Suppose a = 2*x + x - 2*q + 46, 2*q = -5*x - 98. Do -2 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -123488*n + 115 + 6*n**2 + 123488*n. Let j(p) = p**2. Calculate s(j(k)).\nAnswer: 6*k**4 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193943940?\nAnswer: 2, 3, 5, 41, 78839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*l**5*p - 4*l**3*p + 14*l**3 - 2*l**2*p - 2*l*p - 255*p wrt l?\nAnswer: 480*l**2*p - 24*p + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2 - 442*b - 635 wrt b.\nAnswer: 4*b - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 12*t**2 + 13. Give f(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 21*q**2 - 23*q - 27. Let s be z(20). Is s less than -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000075287 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 = -136*g + 762 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/26 - (-2656)\/26 - 0 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**3 - 4*l**2 - 4*l + 18. Let q be u(4). Let v = 1023 - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 65 + 7*w - 2*w - 65. Let o(d) = -d - 3. Determine o(j(b)).\nAnswer: -5*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r + 16 + 24 + 2*r**2 + 5*r - 39 in the form i*r + v + b*r**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 589.2 at most 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 364*u**2 + 165982*u - 934. Determine z(-456).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -24, -38, -58, -84, -116, -154?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 5)*1*-1. Suppose -5*a - q = 79. Which is greater: -15 or a?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*y + 8 = 0, 4*v - 5*y = -2 - 8. Let s = -1 - -4. Solve v = m + s*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82364 and 1062?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 1, p: 1, v: 10}. What is prob of sequence pgv?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 33 - 8, 19 = -1809*n + 1804*n - 3*d + 64 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001062 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15043059?\nAnswer: 3, 1671451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1630525*v**2 - 803864*v?\nAnswer: -3261050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 11 = 4*z + 2*l, 0 = 4*l - 12. Let g = 130 + -230. Let f be (-6)\/2 - g\/36. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzk. What is prob of sequence ykz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 852575 - 4279453. Let t = 1666792 + f. Let a = -760086 - t. Round a to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -712671 - -295671. What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6 + 9. Let h be (-4 + -1)\/z*-5. Let m = h - -71. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 - v + 15. Let c be f(8). Solve -c = 2*p + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72514.\nAnswer: 2, 13, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16532427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, s: 7}. What is prob of picking 2 u and 2 s?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81971137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 148\/21 + -4 + -1 + 1460\/(-438)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + i - 1. Let a be (-6)\/(-4)*2 - -1. Let u be ((-6)\/a)\/3*2. Let s(t) be the first derivative of -t**3 - t**2 + 2*t - 1. What is u*s(q) - 2*j(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216091 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52280839 divided by 15509\nAnswer: 3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/470 and -103\/658?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 273*y + 1030. What is s(-72)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 3*s = 16*n - 41, -6*s = 7*n - 4*n + 150 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*((-36)\/8 - -2). Suppose p = 5*q - 10*q, -4*a = 2*q - 128. Suppose -a = -0*h - 3*h. Is h >= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1505 + -0.210494. What is q rounded to four decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 72. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 37. Let t(o) = o**3 - 9*o**2 - o + 13. Let w be t(l). Suppose 3*n = 9, -4*n + 2*n = w*c - 514. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036 is divided by 94.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + 484274?\nAnswer: 484240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4\/9 + 28*d**3\/9 - 28*d**2\/9 - 20*d\/3.\nAnswer: -4*d*(d - 5)*(d - 3)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0 - y**3 + 56*y + 5\/2*y**2. Let k(b) = -b. Calculate k(l(u)).\nAnswer: 6*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16505.\nAnswer: 5, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93, 190, 293, 402, 517, 638?\n\"Answer: 3*k**2 + 88*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(80) + 2))**2.\nAnswer: 576*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*c)*(0 + 0 - c**2)*(10 - 2 + 6).\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.59 and 4?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f. Let n(t) be the first derivative of -119*t**2\/2 + 3*t - 5710. Calculate n(x(z)).\nAnswer: 833*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {s: 1, t: 11, l: 1, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -19. Solve 5*f - 3*i + 5 + 7 = 0, f + z = -i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -46*o + 26790. Calculate the greatest common factor of o and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 11:54 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 180503091 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 131311105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114)*-2 - sqrt(114)) + sqrt(114))*5 + sqrt(114) + 5*sqrt(114)*-1)*-1)\/((sqrt(6) - -1*sqrt(54)) + -2*sqrt(30)\/sqrt(5)).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1350 - -1359. Calculate the lowest common multiple of 1565 and a.\nAnswer: 14085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -86*o + 8803. Give h(102).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, y: 1, m: 6, v: 1, c: 2}. What is prob of sequence yvc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -362.02 - -361. Sort -2, -0.3, -0.2, w in ascending order.\nAnswer: -2, w, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*z + 68 = 234*z. Let v(k) be the second derivative of 9\/20*k**5 + 0*k**2 + 0*k**z - 1\/6*k**3 + k + 0. Find the second derivative of v(x) wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 18*x + 2*h = 45, -3*x - 22*h - 5 = -27*h + 22 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 42 = 0, 45*n - 16 = -p + 46*n. Let g = 0 + 0. Put g, p, -4 in decreasing order.\nAnswer: p, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -0.2 (b) -2\/35 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from mzmmwwmmwmmwmwz?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12\/(-132)*(-9 + 2 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6718*-0.0435.\nAnswer: 292.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11784.66334 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(25)\/sqrt(5) - sqrt(5))*6 - 5*((sqrt(5) + 1 - sqrt(5)) + -3 + sqrt(5))) + 1 + 5.\nAnswer: -5*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 148 = o. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501940041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jupppeueejjpeu. What is prob of picking 1 u and 3 j?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24140 - -21?\nAnswer: 24161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 - 4 = 0. Let x = s + 13. What is the lowest common multiple of x and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = w - 25, 3*w - 46 = -2*y - 4. Let f(d) = -d**2 + 17*d + 16. What is the units digit of f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -4 (c) -1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -6, -5, -15125.\nAnswer: -15125, -6, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12801 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wryrmby. What is prob of sequence wrr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60508?\nAnswer: 2, 7, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.078 and -2.29?\nAnswer: 2.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g**2 + 5*g**2. Let l(r) be the first derivative of 3\/2*r**2 + 0*r - 4. Determine l(w(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + q = 15, 5*f - 2*f - 5*q + 19 = 0. Let w(x) = 2*x + 32 - f + 46 - 14. Let r(s) = 2*s**2. What is w(r(g))?\nAnswer: 4*g**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1551 and 396.\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4. Let l = -0.9 - -0.98. Let s = -2.92 - l. Which is the nearest to o? (a) -0.3 (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 1 - 4\/(-2). Let i(w) = -8 - n*w + 3 - 1. List the prime factors of i(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 7 - 4 = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 463.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 7*n**2 - 524 - 9*n**2 - 40*n + 124.\nAnswer: -(n + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241410143 (base 5) to base 9\nAnswer: -2100755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + d + 1. Let z(f) = 6*f**3 - 15*f**2 - 5*f + 20. Let a(s) = -5*k(s) - z(s). What is the tens digit of a(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2696 and 250945028?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5626864 and 408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 - -2. Let r be ((-2)\/(-6))\/((-2)\/(-15)). Let v = 0.1 + -3.1. Which is the third smallest value? (a) r (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggueuvvm. Give prob of picking 1 e, 1 u, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 1. Let t(x) be the second derivative of -x**3\/3 + x**2\/2 - 275*x. What is -4*p(o) + 5*t(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -264*o**2 + 29*o + 14. Let g(z) = 132*z**2 - 15*z - 6. Let n(q) = 7*g(q) + 3*v(q). What is the second derivative of n(f) wrt f?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 3*l**3 + l**3)*(-3 + 8 - 6)*(-329*l - 2439 + 2439).\nAnswer: 658*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -30, 25, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.8? (a) -13 (b) 5 (c) -7451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96084 is divided by 73?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -2*l, 2*l - 8 = 3*j + 6*l. Suppose -3*o + 496 - 64 = j. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7125130 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141548793?\nAnswer: 7, 11, 17, 872077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s**2 - 11*s + 26. Let l be r(-9). Suppose l*m - 864 = 1499*m. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-6))\/(-8)*(-2)\/36.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + -2*sqrt(300))**2 - -3*(sqrt(192) - (sqrt(192) - -2*sqrt(192) - sqrt(192)))).\nAnswer: -312*sqrt(3) + 3612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.237616?\nAnswer: -1.425696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v - 5*f + 20, 3*v - f = 4. Let x = -1 + 6. Let m = 2 - 2.1. What is the second biggest value in x, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 1. Let b be n(-3). Calculate the greatest common factor of 80 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -5.35?\nAnswer: 9.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*-1*(-1045)\/(-209)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgllppppgglpppp. Give prob of picking 2 l and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1964.1 + 1964. Let o = 1.3 - 23.3. Let y = o - -22.08. What is the nearest to m in y, 0.4, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6068748 divided by -6.\nAnswer: -1011458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 14*x + 4)*(3*x**4 + 4*x**4 - 3*x**4).\nAnswer: -56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8210532583 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7294393910 + 2.366\nAnswer: -7294393907.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81566604.\nAnswer: 2, 3, 7, 67, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 898\/7 + -128. What is the third smallest value in -1\/10, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17802 (base 9) to base 6\nAnswer: 133002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2052*k**2 - 18*k - 182. Let c(h) = -2*h**2 - 9*h - 1. Let j(l) = 2*c(l) - g(l). What is the first derivative of j(x) wrt x?\nAnswer: 4096*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66 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 50\/4301 and -46\/221.\nAnswer: 55913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*g - 1. Is 6 a factor of (-22)\/(4\/(-11 + g))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320066239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1.318?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*l + 0*l = 980, x - 350 = -4*l. Let p be x\/(-10) + (4 - 1). List the prime factors of 159\/4*(-40)\/p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1361767749 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 2*v + 1. Let m(i) be the second derivative of -i**2\/2 + 16*i. Calculate -c(y) - m(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x. Let o(s) = 3*s**2 + 449*s - 402. Let j(p) = -10*m(p) - 2*o(p). Determine c so that j(c) = 0.\nAnswer: 1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3783292 (base 11) to base 4.\nAnswer: 121002122300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 2*b + 0*b - b**2)*(-3*b - b + 6*b + 3 + 2*b - 3 + (4 - 1 - 2)*(3 + b - 3)) to the form x*b**3 + r + i*b**2 + p*b and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**3 - 4*n**2 + 2*n - 3. Suppose -21*j + 80*j + 177 = 0. Let a(u) = 9*u**3 - 7*u**2 + 3*u - 5. Calculate j*a(p) + 5*h(p).\nAnswer: -2*p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-92)\/690 + (-2 - 461\/(-270)) and 67\/45?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006616 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 - 9702307.\nAnswer: -9702353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413005093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Suppose -20 = -9492*o + 9472*o. Solve 5*v - o - h = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.087473, 16, 0.1, 2?\nAnswer: 0.087473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - f - 3665 = 0, -2*c + 7*c - 6095 = -5*f. List the prime factors of c.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -93. Let o(i) = -i**3 + i + 185. Suppose z = -5*a - 5, -a = a - 5*z - 25. Let b be o(a). Calculate the highest common divisor of b and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94789216363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 10. Is v(-13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*m = -135 + 31. Let u(y) = -3*y - 2. Suppose 0 = 3*f + 3 + 12. Let d be u(f). What is the highest common factor of m and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 4a?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 4 - (-267)\/20. Let x = w + -49\/4. Let f be (-2)\/(-8) + (-6)\/(-8). Which is greater: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(-10)\/(40\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2 + 1. Let b(s) = 5*s. Calculate b(a(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let y(s) = -902*s - 1355. Calculate y(a(h)).\nAnswer: 1804*h - 1355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5\/7 + 62*a**4\/7 - 1476*a**3\/7 + 7240*a**2\/7 - 9344*a\/7 - 4992\/7 = 0. Calculate a.\nAnswer: -26, -2\/5, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 72 (b) 0.5 (c) -29 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*v - 4232, 3*v + 810 = -5*b + 6132. Suppose -3*w + 5*s + 1030 = 0, -b = -4*w + w - 3*s. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 3*j**2 + 2*j + 3. Let z be w(-2). Solve -1 = -2*k - z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 22 = 2*a, 7923 = -2*a + 5*t + 7894 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -15, -22, -19, 0?\n\"Answer: p**3 - 4*p**2 - 6*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 404 - 310. Suppose -180 = j*k - 59*k. Solve 5*b - 6 = -3*g, k = -2*g + 3*b - 0*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 2*g**2 - g + 2. Let c be a(0). Suppose 0*d = -2*d + 6. Let k = c + d. Solve s = k*h - 2*s + 17, 12 = 3*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -11 - (-38 - 2). Let r be 536\/f + 10\/(-95). Calculate the greatest common divisor of r and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 35*s**2 - 37*s + 78. Is i(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 296991 = -3*y, 3*g - 256218 = 3*y + 40791. What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*l**3 - 1731*l**2 + 607*l - 1401 wrt l?\nAnswer: 840*l - 3462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b8b + -3?\nAnswer: 1b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/7, 3, -24\/7, -1?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3456))\/(sqrt(1152) + 1*sqrt(1152)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3*b**2 - 6 + 1 + 3.\nAnswer: -3*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41489\/3 - 421601\/30. Let y = v - -226. Let h = -2534 - -30455\/12. Calculate the common denominator of h and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124, -234, -332, -412, -468, -494, -484, -432?\n\"Answer: o**3 - 117*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*g + 20, 2*h - 40*g = -41*g - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07983 - 0.07983. Which is the closest to 0.1? (a) 5 (b) q (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12584264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a decade in years?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 2 (b) 3\/5 (c) -2852\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by 3?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05327991 and -5008.897.\nAnswer: -5008.84372009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-24)*(-78)\/4. Let q = l + -7. Solve 0 = 3*v - q, 0*t - 5*t = v + 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*c - 7 = -c, 4*c = 3*p + 21. Let d(i) = -i**3 - 7*i**2 - 8*i - 4. Let w(f) = -6*f + 60. Calculate the remainder when d(p) is divided by w(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6521 - -6845. Solve 0 = -l*n + 318*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:59 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1425*s**2\/4 - 2613*s\/4 + 2493\/2.\nAnswer: -3*(s + 3)*(475*s - 554)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -7347256.0796 and -1.\nAnswer: -7347257.0796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from {c: 4, e: 1, r: 7, t: 1, w: 1, b: 5}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/7 - 10620*n**3\/7 + 63831*n**2\/7 + 10620*n\/7 - 63828\/7 = 0.\nAnswer: -3546, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 4:16 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(405)*-2)**2 + (sqrt(405) + 0 + sqrt(405) + sqrt(405) + -5 - sqrt(405))**2)*2 + 1)*4.\nAnswer: -1440*sqrt(5) + 220524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 31*l + 30*l - 135 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736 + 0*n**3 + 6*n**3 + 737.\nAnswer: 6*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-2)\/v*v)**50\/(v**(-8)\/(v**(-2\/21)\/v*v)) assuming v is positive.\nAnswer: v**(166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**12)\/f)\/(f**(-14)\/f))**(4\/3))**(-26\/9) assuming f is positive.\nAnswer: f**(-2912\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4026178 is divided by 1006535?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133030 (base 4) to base 16.\nAnswer: -7cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 80, 181, 322?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.98 - -2. Let m = l - -2.98. Let x = -80.3 + 80. What is the second smallest value in -2\/15, x, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3752.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - -1. Let h be 2\/(-6) - 35\/(-60). What is the nearest to a in h, -4, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 161*o**2 - 158*o + 297. Calculate p(2).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**38*(v**(-2\/7)\/v)\/v**(1\/19) assuming v is positive.\nAnswer: v**(-5232\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjshhhhjheshhk. What is prob of picking 1 k and 1 h?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 + -178. Solve -35 = -3*d - t*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 2:53 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.933 rounded to one decimal place?\nAnswer: 26.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -28*c + 11591. Suppose -9*v + 4*v - 4 = y, -5*v + y = -4. Is l(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 5*z**3 + 4*z**3 - 3*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 1. Let z be (1\/(-3))\/((-4)\/12). Let y(j) = 0*j + 2*j**2 + 0*j**2 + j**2 + 2*j + 5. Determine z*y(m) - 4*h(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 672336 = 2*y + 159822, 416119 = i - 6*y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**3 + 1. Let f(c) = -7*c**3 - 1. Give 6*f(w) + 5*z(w).\nAnswer: -2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqgelggnqllglqq. Give prob of picking 1 n and 1 l.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*y + 6, -5*y - 35 = -8*y + 5*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119.7525 less than -0.5?\nAnswer: -4120.2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-2 + 3 - 2) - 2 + 2 - 2 - 4 + 7 - 2 - 1 + 6 - 3)*(3 - 2 - 3)*(-129*t**2 + 32*t**2 - 45*t**2).\nAnswer: 568*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:13 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 667.7094 and -4.\nAnswer: 663.7094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2943*i**3 - 311*i**4 + 2943*i**3 + (3*i**2 + 4*i**2 - 3*i**2)*(3 - 3 + i**2).\nAnswer: -307*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77160492 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -11*q**5\/10 - q**4\/4 - q**3\/6 + q**2\/2 - 16*q. Does 21 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsqmyfysl. Give prob of picking 2 s and 1 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**3 + 5*j - 5*j)*(-7*j - 3 + 3) + (5*j**2 - 2*j**3 - 5*j**2)*(3*j + j + j).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.6, 501, 4783?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*-1)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 39. Determine x(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9478 and 233959691?\nAnswer: 4739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18692 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 112022021311?\nAnswer: -112022021302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 28 = d + 3*d, -4*g + 5*d - 8 = 0. Solve -s - 5*r - 5 = 0, g*s + 2*r - 6*r = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 253*a**3*b*w - a**3*b + 9*a**3 + 2*a**2*w - 12*a**2 wrt b.\nAnswer: 253*a**3*w - a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36 + (-1 - 1))*493\/(-34) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 455670 divided by 6\nAnswer: 75945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336985, -673987, -1010993, -1348003, -1685017, -2022035, -2359057?\nAnswer: -2696083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -4*(sqrt(104) + (sqrt(104) - (sqrt(104) - sqrt(104)*5))))\/((sqrt(144)\/sqrt(6))\/sqrt(3)).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 2:01 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 193c3?\nAnswer: -193b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8564d (base 15) to base 2\nAnswer: 1100111010110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -93*w + 11316. Let l be y(115). Let t = -98 + 167. Calculate the greatest common divisor of l and t.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 23480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 + w**2 + 40 + 10 + 85 to the form t*w**2 + g + s*w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)*1 - sqrt(672))\/(-2*sqrt(486)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-74)\/(-8) + 3\/4 and -17\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -938, -2\/11, -1 in ascending order.\nAnswer: -938, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3588944 at least as big as -3588955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -803228 or -803199?\nAnswer: -803199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/154 + (-48)\/(-22). Suppose -l = -6*r + 22. Suppose 0 = -2*a - r*k + 10, -2*a + 4*k = -0*a - 42. Calculate the remainder when 49 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljhemqh. What is prob of sequence qhhj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*n - 15 = 0, o = -5*n + 7 + 4. Suppose o*t - 2*t = 212. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.707938 times -10?\nAnswer: -387.07938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(0 - -4 - (-325944)\/(-16)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*t**2 + 1725*t**2 - 418*t**2.\nAnswer: 2008*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 58*p**2 - 72*p - 846. Let n be u(-57). Solve 0 = -x + 3*z + 12, 10*x - n*x + 3*z = -18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 4102\/(-1073) + (-124)\/1798\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-15) + (-14)\/(-35). Which is the second biggest value? (a) -1 (b) x (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/(w\/w**(-12\/11))*w*w**1\/w assuming w is positive.\nAnswer: w**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1249*p*q**3*s**2*v + 1062*p*q**3*v + 3*p*q**2*s**2*v**2 - 4*p*q**2*v**2 + p*q**2 - 2*p*s*v**2 - s wrt s.\nAnswer: -2498*p*q**3*v + 6*p*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4268783 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27851 is divided by 24153.\nAnswer: 3698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 1587010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose 4*j - 2*s - 2 + 26 = 0, w*j = 5*s - 28. Let p(m) = -2*m - 1. Let b be p(-3). Sort b, j, -5 in descending order.\nAnswer: b, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21643262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*s - 41 - 24, 5*o - 15 = 4*s. Let a be (-5)\/(s\/(-4)) + 2. Solve a = 4*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14118, -28394, -42670?\nAnswer: -56946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/((-2)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 2*j**5 + 0*j**5 + (3*j**2 - j**2 - 3*j**2)*(-j**3 - j + j) - 8*j**4 - 6466*j**5 + 4*j + 6476*j**5 - 8*j.\nAnswer: 12*j**5 - 8*j**4 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a**2 - 2*a + 15. Let n be v(6). Let t = -284 + n. What are the prime factors of t?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -830, -2323, -4482, -7307?\nAnswer: -10798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/60 - 5*t**4\/12 - 5*t**3\/3 + 6*t**2. Let q be s(-9). Let x be (-1 + 7)*q\/(-3). Solve x*z + 2 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2 (c) 0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6144 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -15927 (c) -0.1 (d) 2\/13 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053113 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.293 - 0.407. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 48. Let p(h) = h**3 - 2*h**2 + 3. Let m be p(4). What is the highest common factor of m and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2205*d**2\/2 - 92316840*d + 1932516768160 = 0. Calculate d.\nAnswer: 879208\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 287. Let r(c) = 4*c. Calculate r(a(h)).\nAnswer: 4*h**2 - 1148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1339.4 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14781?\nAnswer: 3, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12921 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipmtsbm. Give prob of picking 1 p and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20318 is divided by 20295?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240 - -244. Suppose -2*d = -2*y - 1623 - 19, -841 = -d - x*y. Is 55 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.02 (c) 0.3 (d) -11\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116576 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:56 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4889 - 15*(4 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2827.677 hours to milliseconds.\nAnswer: 10179637200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s + 2 - 494982*s**2 + 494952*s**2.\nAnswer: -30*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/201)\/((-56)\/72*(-156)\/(-182)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3 - 55625820*n**2 + 2*n + 55625820 = 0?\nAnswer: -27812910, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-37 - -4) + (20 - 4))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2*-6 + -4 + 6*(sqrt(33)\/(sqrt(44)\/sqrt(4)) + sqrt(3)).\nAnswer: -4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/13, -3, 27, -2\/347, -2\/11, -0.4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/37204 and -33\/186020.\nAnswer: 186020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Suppose -19 = -j - 4*c, 2*j + 4*c - 6 - 12 = 0. Let u be 2\/6*1*j. What is the nearest to u in -2, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -691 + -21277?\nAnswer: -21968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 11 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n**4\/5 - 174*n**3\/5 - 203*n**2\/5 - 36*n\/5 + 4 = 0. Calculate n.\nAnswer: -5, -1, -2\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20194 - 5*s + 42138 - 21944.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5024\/27753 - 2\/2523. Put -1, 3, -44, i in decreasing order.\nAnswer: 3, i, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = l + l, -l + 3*c + 2 = 0. Let a = 108 + -3347\/31. Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12)*4 - -2. Suppose 5*c - 15 = -2*u - 3, -5*u + 3 = -c. Suppose -c*v = -7*v. Solve -p*n - 3 + 12 = v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/27027 and -58\/891.\nAnswer: 81081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 - 21*l**2 + 11*l + 4. Let c(g) = -g**3 - 3*g**2 + 4*g + 1. Let o be c(-3). Let d be w(o). What is the nearest to 2\/7 in -0.08, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281846, -563676, -845476, -1127234, -1408938, -1690576, -1972136?\nAnswer: -2253606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1955.4 in 2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -20*s**3 + s**2 + s - 1. Determine k(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 276*y**2 + 2181*y + 13106. Give s(-130).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/3)*i*i)\/(i**5*i) assuming i is positive.\nAnswer: i**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 11 + 18 + 115*u**2 - 15*u + 9*u to the form s*u + f + q*u**2 and give q.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yddddtddnrddnwyn. Give prob of picking 1 y and 1 w.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -586 + -3920?\nAnswer: -43a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 75990\/12047 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m**3 - 66*m**3 + 43*m**3 + 29*m**3.\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*g - 944, -4*y + 1195 = -3*g - 47. Let p = y + -937\/3. Let m = -0.8 + 1. Which is the nearest to 6? (a) p (b) m (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/7))**(1\/15))**(40\/7)*((g**(-2\/9)\/g)**(-8\/3))**15 assuming g is positive.\nAnswer: g**(21680\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -9 - (2 - 5) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047433066 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2945, 178, 3\/7 in decreasing order.\nAnswer: 2945, 178, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*m - 6 = 44, -3*x + 48 = 2*m. What is the units digit of (-3)\/(-2) - (-77)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15*u = 10*u - 48, -5*u = 0. Let w(d) = d**2. Let n(q) = -5*q**2. Calculate p*w(s) + 3*n(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*g + 112. Let k = g + 55. What is the remainder when k is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220 + 410. Calculate the highest common factor of r and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/71)\/(h*h*h**20*h) assuming h is positive.\nAnswer: h**(-1635\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 756961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4*q**2 - 4*q - 5. Let i be s(-3). Let t = 441 + -436. Let n = 0.34 - 0.64. What is the third smallest value in -4, t, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -30. Let d(k) = 73*k - 73*k - 3*k**p. Let i(j) = -1137*j + 29*j**2 + 1137*j. Calculate i(d(q)).\nAnswer: 261*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**4 - x**3 - x**2 + x + 1. Let l(q) = 110*q**4 + 4*q**3 - 13*q**2 - 4*q - 7. Let o(v) = -4*g(v) - l(v). What is the third derivative of o(y) wrt y?\nAnswer: -2544*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3297 - 31?\nAnswer: -32c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 3)\/(1\/17). Suppose 0 = -79*l + 1595 - 252. Calculate the greatest common factor of l and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6 - -2 - (-15 - -36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130 + -55 + -73 - (5 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9479.019 millennia?\nAnswer: 113748228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 9 = 4*j, 2178*j = 2179*j + 2*t - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 2. Let r(x) = -x. What is h(r(c))?\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4384744 and 145\/72.\nAnswer: 39462696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k - 227. Calculate w(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:33 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-2)\/(-3)*-3. Suppose -2*o - 3 + 7 = l. Suppose -5*b = -o*b - 5*s - 78, 12 = b + 3*s. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 2*d**2 + d - 6. Let v(i) = 2*i**3 - i**2 - 2*i + 7. Let h(x) = -2*v(x) - 3*z(x). Give h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from iqjiifqfffqqiii?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -95328 - 3\nAnswer: -95331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.2, -2\/5, -41, 0.5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 311, 308, 305, 302?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*g = 22 + 1, 5*q - 3*g = 89. Suppose 0 = -q*u - 20*u + 84636. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7989, 14687, 21385, 28083, 34781, 41479?\nAnswer: 48177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 117*g**2 - 119*g + 194. Give n(116).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745166981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -271?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4332265*i + 2332 + 980 = 4332127*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 221.\nAnswer: 41\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18 + (-6)\/(2 - 0). Let s be (-2)\/5 - (-276)\/l. Suppose 0 = 2*w + w - s. Calculate the remainder when 17 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -o - 69*k + 68*k, -3*o - 41 = 2*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2. Let j(s) = 54*s - 17. Let t = 5 - 22. Suppose 11*h + 17*h = -168. Let b(z) = -18*z + 6. Let w(g) = h*j(g) + t*b(g). Give l(w(f)).\nAnswer: 648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m. Let q = -2 + 10. Let h(p) = -9*p - 1 + 7*p**3 + q*p - 3*p**3. Calculate -h(i) - 2*r(i).\nAnswer: -2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 69*x + 936. Let l(i) = 32*i + 469. Give 6*f(a) - 13*l(a).\nAnswer: -2*a - 481","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1957*d - 54. Let a be s(22). What is a rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 d, and 1 t when four letters picked without replacement from {h: 3, d: 7, t: 8}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 10 - (7 + (-12)\/3). Let q(l) = -10*l + 14*l + 6 - y. What is q(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8428*x**4 + 4 - 6 + 2*x + 8509*x**4 to d*x**4 + m*x**2 + t + v*x**3 + p*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-7) - (40\/(-28) - -1). Let l(z) be the first derivative of 4 - 2\/3*z - 2\/9*z**3 + 2\/3*z**f. Factor l(k).\nAnswer: -2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*b + 490 = 0, 2*q + 217 = -2*b - 3*b. Let n be 36\/q + 86\/16. Solve 4*f - 3*a + 4*a = 10, n*f + 2*a - 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3352 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1260 - 1261. Which is the second smallest value? (a) -2\/7 (b) -26 (c) 1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/(-8))\/(3\/(-12)). Let i = 89 + -55. Let a = 52 - i. Calculate the highest common divisor of y and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(1*(-7)\/14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 3, 0 in descending order.\nAnswer: 137, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330556541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68534 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 - 74*x - 36 = 0. What is x?\nAnswer: -18, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 1.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -455 + 1577. List the prime factors of (-4 - (3 + -2)) + r.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppqiqipoommiqmqpommy. What is prob of sequence ip?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -273\nAnswer: 5187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 2. Let x = 96 + -61. Suppose -3*b - 3*y = -8*b - x, 20 = 4*y. Sort 0, b, c in descending order.\nAnswer: 0, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - -4) + 4 - (-23 + 26).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 3. Let v be r(-3). Suppose -2*z - k - 15 = v, 3*k = z + 2*k. Let f = -2 - -1. Let c(q) = -q**2 + q + 5. Let b(d) = -1. Give f*c(i) + z*b(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 1 + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r - 4*r**4 + 6*r + (2*r**2 - r**2 + 0*r**2)*(-3*r**2 - r**2 + 2*r**2) + 3*r**4 + 35*r**2 - 35*r**2.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4120 divided by -6?\nAnswer: 2060\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*p - 20*p - 253209 - 73479. What are the prime factors of p?\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 17. What is the common denominator of 101*(g\/(-16) - -1) and 1339\/1001*(-35)\/10?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18*q = 21*q - 210, 315 = 5*y - 5*q. Solve -y*z + 58*z = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 111 = -4*r, 8*r - 4*d = -518 + 810 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521618 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(59\/(-3) + 4158\/231)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/4 - ((-84)\/(-8))\/21. Let x(b) = 42*b - 185. Calculate the remainder when x(t) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.841 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 20. Let p(x) = -x + 7. Let m(f) be the second derivative of f**3\/6 - 23*f**2\/2 + 38*f. Let y be m(26). Give y*z(g) + 8*p(g).\nAnswer: -2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 26 + 7 + -38 + -2 + -30?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k - 2 = -36*k. Is 1\/(4\/106328*k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11546, 11573, 11610, 11651, 11690, 11721, 11738, 11735?\nAnswer: 11706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -123902134 and 4.\nAnswer: -495608536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -216113 - -216153. Suppose 16 = 4*j, 0*m + j - 260 = -4*m. What is the lowest common multiple of f and m?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*m + 7 - 1 = 0, 527 + 293 = 76*q + 4*m for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 18*y + 1572. Let c be (-6)\/21 - y\/7. Suppose 3*q = -4*h + 170, 2*q - c = -2*h - 2*h. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147067 is divided by 6169.\nAnswer: 5802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 84356.41ug?\nAnswer: 0.00008435641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -33469 equal to -33477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4719 divided by -121.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 10*p**2 - 9*p - 18. Let y be i(9). Let u = 14 + y. Let z = 26 - 28. Put z, -1, u in increasing order.\nAnswer: u, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3404*f + 484764 = -3376*f. Calculate the greatest common divisor of 87 and f.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6771 + -6769. Solve -x = 2*v + 53*s - 55*s, 2*v + s + 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011001110110110000101 + -100?\nAnswer: -101011001110110110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r\/(r*(r*(r\/r**(-1\/5)*r)\/r)\/r)*r*r**(-1)*r**(3\/4) assuming r is positive.\nAnswer: r**(-29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/55 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8558 is divided by 512.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 1, a: 2, x: 1, u: 2}. What is prob of sequence xau?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060891.\nAnswer: 4060891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvi. What is prob of picking 1 i, 1 v, and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 3*h + 50. What is g(-8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + 4*v, v = -11 + 13. Suppose -r + 3*r + 10 = 0, x*n - r - 41937 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18*6\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000133369619 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 636941239 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let w(b) = -28*b + 11. Let x(r) = -5*a(r) + w(r). Let s(u) = -4*u + 1. Suppose 2*o - 102 = -o. Determine o*s(p) - 6*x(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (1 + -1)\/(-2). Suppose 0 = 61*x - 56*x - 25. Let i = l + x. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 5. Let x(i) = i + 1. Let k(g) = w(g) + 2*x(g). What are the prime factors of k(3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 128 = 212. Suppose 8*k - 3*k = t. Let r = 115 - k. What is r rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 9. Let v be q(-7). Suppose -36 = 4*j - 7*j. What is the highest common divisor of j and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + ((-15 - -30) + -28 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1041733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27850103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -18. Let b = -3.8975 + -0.0675. Let i = b - x. Round i to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*v**4 + 30*v**4 - 13*v**4 - v + v - 3*v**4 - 6*v**4 + v - v + (2*v**2 + 1 - 1)*(v**2 - 2*v**2 + 2*v**2).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5739\/41 <= 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c**2 + 14*c + 6. Let f be i(6). What is the tens digit of f\/(-5) - 9\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -25 + 66 - 27.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 4*t**2 - 5*t + 4. Let r be m(-5). Let z = -2235 - -2263. Let c be 1*-3 + z\/r - -1. Solve 4*q = c*y - 7, q - 12 = -2*q - 2*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n**(-4\/3)\/n))\/n)*n*n**(-2\/7)\/n)\/(n**(-1))**(-2)*(n**(-2\/5)*n)\/(n\/n**(-1\/4))*(n**(-1))**41 assuming n is positive.\nAnswer: n**(-19013\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002 + -221102122020?\nAnswer: -221102112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 423165 from -5.\nAnswer: -423170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(891) + 1)**2*-4.\nAnswer: -3564 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1944*b + 1954*b = 140 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 - 84. What is the highest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33353 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6070 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 6*p. What is the closest to -1 in 0.5, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (156*i**2 + 76*i**2 - 71*i**2)*(-2 + 2 + 3) to d*i**2 + k + z*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = -80. Let j(d) = -2*d - 8. Let k be j(4). Let q = k - 1. Is q at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-50))\/(1\/5) + (-75)\/(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 47, -0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 14 = 5*h - 21, 2*h - r - 12 = 0. Suppose -5*w + h = 15. Sort w, 9, 4 in descending order.\nAnswer: 9, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 35 (b) -140 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20749782 to the nearest integer?\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21709028\/9 or 8?\nAnswer: 21709028\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24680, -49331, -73982, -98633, -123284?\nAnswer: -147935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*u = 0, 0*j - 5*j = -2*u - 21. Suppose -j*z + 4 = -z. Let m be 3\/180*(z - (-10)\/(-3)). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - z**2 + 20*z + 4*z**4 - 7*z**4 + 24*z - 71*z as y*z + i + x*z**4 + s*z**3 + n*z**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140 - -10?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56\/35*(4\/3)\/((-90)\/(-135))\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800326824 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 4644?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w**2 + 3*w**2 - 2*w**2)*(0 - 1 - 2 + (1 - 3 + 1)*(3 + 3 - 5) - 1 + 4 - 4).\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4396995, -4396882, -4396783, -4396704, -4396651, -4396630, -4396647, -4396708?\nAnswer: -4396819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 2*x**3 + 4 - 4 - 2*x to b*x**3 + n + v*x**2 + a*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 598 times -3\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 18*p**2 + 75*p + 22. What are the prime factors of u(-12)?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 14115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 3, y: 2, z: 6}. What is prob of picking 1 m and 2 z?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8573192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025 = -5*k + 7*k + 3*z, -4 = -4*z. What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -217?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17229 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -20520547 - (0 - (0 - 3)). Let j = i + 7320550. What is j rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 64032 = 3*w + 64010, 0 = g + 4 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 20. Suppose q - c + 0 = 0. Suppose q*j - 91 + 1 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -49*g**6\/24 - g**5\/6 - 7*g**4\/8 + g**3\/2 - 3*g**2 - 60. What are the prime factors of s(-2)?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/80 and 101\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 43, -3.\nAnswer: -3, -0.2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 14, -5\/3, 0.2, -0.06, 5 in decreasing order.\nAnswer: 14, 5, 0.2, 1\/6, -0.06, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l - 79*l = 3. Let p(u) = 224*u**2 - 4*u - 1. What is the tens digit of p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1967 + 48 - 1382 + 393)*(3*r**2 + 0*r**2 - r**2).\nAnswer: -5816*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 13*d - 1327. Let z be j(106). Sort -5, z, 13.\nAnswer: -5, 13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791 a factor of 61816365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 2. Let n(o) = 2*o**2 - 2*o - 2. Let c be n(2). Let r(x) = 5*x**q - 4*x**c - 3*x**2. Let j(d) = d. Give r(j(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let y = 4 - t. Let n = 499\/4890 + -1\/489. Put y, -0.01, n in increasing order.\nAnswer: -0.01, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Let o(t) = 2*t - i + 0*t + t - 2*t. Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -22. Let s be 26279991\/j - 2\/(-4). What is s rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 132 = -4*c, 4*c - 90 = -3*o + 158. Let l = -80 + o. Let a be (35\/2)\/7 - (-2)\/l. Which is smaller: a or 5\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 9}. Give prob of sequence ffvv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563583281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.223852 seconds in minutes?\nAnswer: 0.0870642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from {j: 4, l: 7, d: 2}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 6*p - 10. Suppose -290*u = -296*u - 24. Determine d(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 - 8*a - 7. Let s be o(-6). Let p = -108 - s. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -25*h**3 - h**2 - 15*h - 5. Let w(u) = 19*u**3 + u**2 + 14*u + 5. What is -6*i(n) - 7*w(n)?\nAnswer: 17*n**3 - n**2 - 8*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {w: 7, f: 6, m: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, -1, 5193 in descending order.\nAnswer: 5193, 13, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3850 and 1890.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-135))\/(15*(-8)\/(-144))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85428 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*-3)\/(sqrt(66)\/(sqrt(6)*3)) - (((sqrt(242) + 0)*3 - sqrt(242)) + (-1 + sqrt(242))*2 + 4))**2.\nAnswer: 284*sqrt(2) + 10086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tddt when four letters picked without replacement from {t: 8, d: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.0508?\nAnswer: 0.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (54 - (15 + -6 - 11)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -75424, 1, 1\/2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054452 (base 11) in base 6?\nAnswer: 103355423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 9*y**2 + 9*y + 16. Let v(r) = 3*r**2 + 5 + 0 - 9*r**2 - 4 + 2*r. Let h be v(-1). What is the units digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-1)\/((-3)\/(-6))). Solve c = -2*n - 2*p - 14, 2*n - 5*n = p + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.09999912 + 11.1. What is l rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -601265*z**4 - 528749*z**2 - z wrt z?\nAnswer: -14430360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-10 + 20 - 12 - 8) + 82\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**3 + a**2 - 31*a + 15. Let h(l) = -5*l**3 - 15*l + 8. Let y(c) = 13*h(c) - 6*k(c). Let g be y(7). Do g and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 717 or -26\/11?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3050 - -4394. Is b a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**7\/105 + 29*b**6\/60 + b**4\/12 - b**3\/3 - 2*b**2 + 34. Find the second derivative of h(x) wrt x.\nAnswer: -24*x**2 + 348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305418412 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -782 - -1269. Let y(o) = -487*o - l*o + 974*o + 3*o**2. Let i(r) = 24*r. Calculate i(y(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 409746 and 21795?\nAnswer: 2048730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11184 divided by 2796\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20599*c + 8*c**2 - 20599*c. Let y(q) = 4*q - 10. Calculate i(y(b)).\nAnswer: 128*b**2 - 640*b + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -109. Let t = -1 - -1. What is the second biggest value in 0.5, t, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37500*g - 3*g**2 + 12485*g + 12485*g + 12530*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-208)\/(3\/27*-3*3). Suppose -4*r = -56*r + p. Suppose -4*c + 13 + 47 = 0. Calculate the remainder when c is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (3 - 8) + 8 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 904\/(-6)*((-116788)\/688 - -169).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772803789 to the power of 1\/3, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 830189 times -0.013\nAnswer: -10792.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23852 + 23856. Solve 60*t - 4 = 4*a + 64*t, -3*t = -w*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8648, 17135, 25632, 34139, 42656, 51183, 59720?\n\"Answer: 5*x**2 + 8472*x + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 - 39*h + 40 = 0. What is h?\nAnswer: -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 - 2*a - 1. Let b = 18 - 7. Suppose 2*w - 3 - b = 0. Determine p(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:33 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let q(y) = -y**2 + 5*y + 13. Calculate the remainder when q(6) is divided by j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.087308 + 0.412692. Let j = 0 - -3. Put j, n, -1\/7, 2 in decreasing order.\nAnswer: j, 2, n, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 39. Let h be y(-13). Solve 3*g - 9 = -h*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - ((22 - -6) + -46 + -6 + 40)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/4)\/(112*(-83)\/18592)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -1. Let i = b - 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let u be 2\/4 + y\/(-6). Let z(j) = -4*j**3 - 2*j**2 + u*j**2 + j**2. Give z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + u**2 + u + (2*u + 0*u + 0*u)*(4*u - 4*u + 2*u) - 7*u**2 - 4*u**2 - 5*u**2 to the form o*u + k + j*u**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 1540 = 2*i. Let r = 143 + i. Solve 0 = d + 3*d + u - 5, 0 = r*d + 3*u - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -9\/2*z**2 - 15 - 11*z. What is the first derivative of b(t) wrt t?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) - (4 + (-14933854)\/8). Let z = c - 908185. Let l = z + -1968543. Round l to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-357)*63)\/7\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 - 98*s**3 + 2688*s**2 - 4968*s = 0.\nAnswer: -69, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 2*w + 4*s - 4, -4*s = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*p + 141. Let g(k) = -3*k + 1. Let q be g(8). Let w = q + p. Solve i + 2*x + 2 = 0, -4*i - i + x = w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let q(g) = 7*g + 44. Give q(b(x)).\nAnswer: -7*x + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11 = -1. Let s(z) = z**3 - z**2 - z + 2. Let h be s(x). Suppose -o + 5 = 0, 9*r - h*r + o - 280 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 - 78447*o**3 - 78453*o**2 + 78447*o + 78450 = 0. Calculate o.\nAnswer: -1, 1, 26150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8959\/(-310) - (-31)\/(-310)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - 16\/30. Let h = -130 + 141.3. Let w = h - 11.4. What is the nearest to w in 2\/5, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12310 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 10 divided by -872?\nAnswer: -5\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.5. Let i be 1*-2 - (16 - 13). Which is the second smallest value? (a) h (b) 3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 20 = 0, 4*v = -3*s - 0*v - 4. Suppose 4*a + 16 = -2*q, -4*q + 9*q = a + s. Solve -4*z = -u - 15, 3*u - 6*u - z + 20 = q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -522 - -1a93?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -834*k**3 + 4*k - 40?\nAnswer: -5004*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -361*k. Let t(c) = -143715*c. What is l(t(w))?\nAnswer: 51881115*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 364, 735, 1106?\n\"Answer: 371*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let l(w) be the second derivative of 7*w**3\/6 + 10*w. Calculate l(m(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0*l**5 - 24*l - l**5 + 2*l**3 + 23*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 4. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 22*l + 46 = -4*p - 4, 0 = -p - 2*l + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 106*f**2 + 2*f**3 + 7 + 17 + f**3 + 105*f**2 to g + s*f**3 + m*f + l*f**2 and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:03 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2 + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-1)\/(-1) + 6. Let s = 17.8 + 12.2. Let w = s - 27. Sort -1, w, d in decreasing order.\nAnswer: d, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -322*g**2. Let v(z) = 2*z. Give v(b(r)).\nAnswer: -644*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-6)*1 - 189\/(-570). Let a = 2\/285 - b. Let i = 1 + -2. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34275299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - a - 194, 2*a - 2 = 2. Suppose 24 = -g*v + 46*v. Let j be v*(25\/10)\/(-5). Solve 3*d + 0*x - 1 = x, 0 = -j*d - x - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -4 (c) 4 (d) 205 (e) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -29*n. Let s(q) = 9019*q. Give s(k(c)).\nAnswer: -261551*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 1 - -704) + 5. What is the second derivative of u*d - 54*d**5 - 8*d**5 - 736*d wrt d?\nAnswer: -1240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3826, -9, 4, -8?\nAnswer: 3826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -515 and -0.083.\nAnswer: 42.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/(-440)*11)\/(50\/2760)*1\/3\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 113 - 32. Let b = q + 19. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/11 or -23?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 268937579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Divide 6412 by 7.\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1496 and 28.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, -79, -137, -209, -301, -419?\n\"Answer: -c**3 + 2*c**2 - 49*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -75*o**4 + 9*o**3 + 6*o**2 - 406. Let j(x) = 38*x**4 - 4*x**3 - 3*x**2 + 203. Let i(m) = -9*j(m) - 4*u(m). Find the first derivative of i(v) wrt v.\nAnswer: -168*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 37*p - 1416. Determine x(38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34377?\nAnswer: 3, 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1314, 5954, 14962, 29382, 50258?\nAnswer: 78634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 5*n**2 + n - 43. Let r be z(6). Put 4, r, 7, 0 in increasing order.\nAnswer: r, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 91, 137, 183?\n\"Answer: 46*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -251448*h**3 + 420011?\nAnswer: -754344*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010000100011010011000 - 11?\nAnswer: 110010000100011010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -295\/7. Let n(x) be the second derivative of -x**4\/12 - x**3\/6 + x**2 + 4*x. Let a be n(-2). What is the third smallest value in a, -1, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*-6*((-55)\/15 - -4). Suppose -2*f + 5*j = -0*f - 4, 5*f + y*j = 10. Solve 0 = -f*n - 3 + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19029825 is divided by 340.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 247, 103, 2\/3, -3.\nAnswer: -3, 0, 2\/3, 103, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25*3\/21 + (-4)\/7. Find d such that -3*d**3 - 4*d - 2*d**n - 3*d - 10*d**2 + 2*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250 - 2033. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.003 and 65279.\nAnswer: 195.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7955, -31983, -72067, -128195, -200355?\n\"Answer: 2*y**3 - 8040*y**2 + 78*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-13 - (-8 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)*n)\/n**(4\/3) assuming n is positive.\nAnswer: n**(-13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12851, -25666, -38473, -51272?\n\"Answer: 4*i**2 - 12827*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/12 - 7*j**4\/24 + 5*j**2. Find the second derivative of c(d) wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3.5, -1.2, 1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 3)*10\/(-20). Let t be (-48)\/(-20) + (-4)\/10. Suppose v = -k + t*s, s - 2 = -2*k - s. Solve 0 = -k*a + 2*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86268, 345002, 776210, 1379892, 2156048, 3104678?\nAnswer: 4225782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*b + d, -1535*b = -1534*b - 4*d - 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1468555?\nAnswer: 2\/1468555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, 27, 7, -31, -93, -185, -313?\n\"Answer: -t**3 - t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*k + 7 - 7 + 823*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 543920 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -2, -62.8, -3, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**3 + 15*b**2 - 43. Let a(n) = 7*n**3 + 7*n**2 - 21. Let y(u) = -13*a(u) + 6*j(u). Is y(0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10683733 and 4571?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgu when three letters picked without replacement from ysyluywuwglg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y*y**(2\/17)*y)**(2\/61)\/(y**(3\/10)\/(y**(1\/10)*y))**(-1\/45) assuming y is positive.\nAnswer: y**(-56798\/233325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-88))\/(6\/4). Let o = -53\/66 + n. What is the second biggest value in o, -4, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 3 - 1\/2*x + 1\/12*x**3 - 1\/8*x**2. Factor c(r).\nAnswer: (r - 2)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - -24. Let p = k + 19. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 0.1, 56, -264, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17873 divided by 480?\nAnswer: -17873\/480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 45682577.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 - 15*o**3 + 108*o**2 - 108*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4265047497?\nAnswer: 3, 79, 17995981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8270)\/(-3 - (-3 + 2)). Let u = m + 9720. Suppose 3*k + u = -6545. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102.55 + -102. Let w = r - 3.55. What is the smallest value in -1\/8, w, 0.2, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3006, -3, -67.6?\nAnswer: -67.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 181320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3 - 3)*(21 + 21 - 5)*(-4 + 2 + 3) + 0*s + s + 0*s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3413515, 6827010, 10240505, 13654000?\n\"Answer: 3413495*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -h + 7, -36 = -2*h + l. Which is greater: h or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010011100011011101101 (base 2) to base 11.\nAnswer: -2802713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c - 21. Let w(h) = h - 5. Let j be w(11). Let l be (j - 1)*12\/(-10). Is f(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77498 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o**15*o*o*o)\/o)\/o))\/o)\/o*o\/o**(-11)*o**(-1)\/(o\/(o*o*o\/(o*o*(o\/o**(-13\/4))\/o))) assuming o is positive.\nAnswer: o**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 548\/219 + -1\/438. Let i(v) be the first derivative of 7 + 9*v + z*v**2. Differentiate i(k) wrt k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2035 rounded to three decimal places?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 936\/30 + 3\/(-15). Let g = s - 29. Suppose 2*x = 6*x - g*b - 54, 4*x + 5*b - 47 = 0. Calculate the greatest common factor of x and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154*d**3*x**2 + 80*d**3*x + 4*d*x**2 + 20986*x**2 + 413299*x wrt x?\nAnswer: -308*d**3 + 8*d + 41972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 8.5. Let w = 7 - j. Let a = 0.3 + -0.8. What is the closest to 0 in 1\/4, w, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 25. Let w = d - -26.0000068. Round w to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l - 39*l + 17*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/3)\/((-8)\/(-24)). Suppose -u*n + 5 = -7*n. Suppose 0 = j - 5*a - 0 - 2, 0 = j + n*a - 22. What is the remainder when 23 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/6 - 108*u - 17496 = 0. Calculate u.\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f3d (base 16) to base 3.\nAnswer: -12100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000004473 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 277182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 0)*(2*w + 3*w - 4*w) + 3*w - 1 + 1)*((-4 + 1 - 2)*(6 - 4 - 3) + 7 + 2 - 4)*((1 + 2 - 1)*(-w + w + 2*w) + w - 6 + 6).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/10091 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2, 44, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 22. Suppose 0 = -3*o - u + i + 1, 3*u = 3*o - 3. Suppose 3*h = 2*h - o. Sort 4, h, 1 in decreasing order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 441 + -403. Solve r + 17 = -11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*x - 16, 0*o - 3*x + 26 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(99) - (2 + sqrt(11) + 1*sqrt(11)).\nAnswer: -11*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/8 + (-30)\/40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15699369.\nAnswer: 3, 7, 59, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/2072 and 107\/26418.\nAnswer: 105672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000082346545 to seven dps.\nAnswer: -0.0000823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*i**2 + 178 - 176 + 3*i - i)*(4 - 557*i + 25 - 29) in the form a*i + v*i**2 + o + s*i**3 and give v.\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1278, -5103, -11484, -20427, -31938?\n\"Answer: -p**3 - 1272*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(1 + 5 - 5)*(244*u - 27*u + 279*u).\nAnswer: -992*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(66)\/sqrt(6) + -4.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20000111 (base 3) to base 16\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, 24, 108, 240, 426, 672, 984?\n\"Answer: s**3 + 15*s**2 - 10*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16584, 66455, 149580, 265965, 415616, 598539, 814740, 1064225?\nAnswer: 1347000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -16, -25?\n\"Answer: -9*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 + 8*l + 2. Let v(q) = 4*q. Let d be v(-2). Let j be o(d). Suppose -j*p - k - 8 = -6*k, 7 = p + 3*k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1058 + 3314. Is 83 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*u - 170*u + 22*u.\nAnswer: -61*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvccwvvcwwwc. Give prob of picking 2 c, 1 w, and 1 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, -5079, -5, -3, -2, 4 in increasing order.\nAnswer: -5079, -5, -3, -2, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4024 or 4026?\nAnswer: 4026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 4. Let a be j(3). Let i(g) = g**2 - 10*g - 23. Let u be i(12). Suppose -5*s = u + 4, 0 = -4*k + 2*s + 6. What is the nearest to k in 13, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {w: 1, x: 2, q: 1, j: 1, u: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 196*s + 37005. Determine j(-191).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1886*s + 1676 = 29966 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5))**(18\/5)*(a\/a**(-5))\/a**(-3) assuming a is positive.\nAnswer: a**(279\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -934, 1, -0.1 in decreasing order.\nAnswer: 1, -0.1, -934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**2 + 12*o**2 - 39*o**2.\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03529 + 0.02471. Which is bigger: a or -0.043?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1436961288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 73 and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3)*o)\/((o*((o**(-1\/2)*o)\/o)\/o*o)\/o))**(-1\/10))**(3\/22) assuming o is positive.\nAnswer: o**(9\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974764413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/765 and 57\/323170.\nAnswer: 2908530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 3. Let y = 35 - 31. Suppose y*r + 9 = -3*i, 2*r - 2*i = -3*r - 17. Determine j(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738, -1031, -2776, -4497, -6194, -7867?\nAnswer: -9516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l**2 + 91*l + 93. Let n be w(10). Let a = 5 + -2. Solve -a*y = n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 1. Let d(n) = 8 + n**2 + 8 + 7*n - 2 - 2*n - 13. Let j be d(i). Are j and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/5 + 3553\/187.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - f**5 - 2*f**3 + 2*f**5 - 4*f**2 + 4*f**2 + (2*f**3 + 1 - 1)*(3*f**2 - 2*f**2 - 2*f**2) - f**2 + f**2 - f**5 + 3365*f**5 + 2430*f**5 - 2154*f**5.\nAnswer: 3639*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/695 and -107\/2502.\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1026.05 or -219?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.439489666 - 0.039947666. Let h = b - 52.4. Round h to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 14031104?\nAnswer: -14031111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -845141.9876.\nAnswer: -845141.8576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + 750 = -42*g - 38*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12))\/(31\/(-93)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 125 - 123 = 170 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - s)*(-1040 + 1832 - 7243 - 1633) in the form z + i*s and give i.\nAnswer: 8084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5697107 is divided by 132490.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -26, 2, 25, 1.\nAnswer: -26, -3, 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4878 or 4879?\nAnswer: 4878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -344 + -1316?\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*s - 65, g - 7*s = -2*s + 70. What is g rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.434686 seconds?\nAnswer: 6434.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 11*f**2 + 5*f - 8. Let u be t(12). Let h = u - 983\/5. What is the closest to h in -0.2, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.3. Let h = -10 + 10.04. Are n and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -170.\nAnswer: -170, -16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:21 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(18\/20) + (-104)\/(-78). What is the third smallest value in j, 2\/21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03175295 rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 2522539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61926559 and 2546.\nAnswer: 61929105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 406079791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267*c + 2737 = 1393 - 3306 - 35894 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 18*b**2 - 12*b - 973. What is the thousands digit of k(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411214, 410522, 409828, 409132?\nAnswer: 408434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30240*q - 2710*q**3 - 195*q**4 - 2847*q**2 - 9075*q**2 - 837*q**2 - 17280 - 4712*q**2 - 5*q**5 + 1991*q**2.\nAnswer: -5*(q + 1)*(q + 2)*(q + 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 - 7*c**2 + 7*c + 123 + 66.\nAnswer: -7*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 44 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 3*h**7\/490 - 2*h**6\/105 - 7*h**5\/60 + 11*h**4\/42 + 2*h**3\/7 - h**2 + 380*h. Suppose m(r) = 0. Calculate r.\nAnswer: -2, -2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 4*z + 2*z + (2 - 2 + 14*z)*(0 - 4 + 2) + 0*z + 2*z - z + 0 + z + 0.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - -5.6. Let w = u + -11. Which is the nearest to -1? (a) w (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 2\/3, -4, 130?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24637 or -320263\/13?\nAnswer: -24637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 49*p - 31. Suppose p*f = -l + 673, 6*l - 5*l = -5*f + 669. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -176 and -15.\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -4, -3154.6, -2 in ascending order.\nAnswer: -3154.6, -43, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 8*b**3 + 74887*b**2 - 74904*b**2 - 11*b**3 to the form y*b**2 + p*b + n + m*b**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6040 - 6039.954295. Round h to three dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 + 0 = 0. Let g be 316\/8 + 1\/i. Suppose 4*v - 29 = g. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -278 and 143681638.\nAnswer: 143681360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*q)*(-2 - 4 + 2)*(-3*q**2 + 3*q**2 - 2*q**4).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/79 + -85\/2133. Sort -2, k, 0.1 in ascending order.\nAnswer: -2, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -0.28. Let o = 1705\/956 - 8\/239. What is the nearest to 0 in 3, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(7)*-2)**2.\nAnswer: -4*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*r**2 - 71*r - 20*r**2 + 55*r**2 wrt r?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 9*l**2 + 66*l - 423. Let g be w(7). Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 + f - 12. Let i be c(6). Suppose p - i = 27. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650347814 a multiple of 1231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l - 64 = 114*l + 95 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -244 - -272. Suppose -18 = -5*p - t. Let j = -1.9 + 1.7. What is the nearest to j in p, -4, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 891735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*k + 62*k - 14*k)*(k + 0*k + 2*k)*(26 - 26 + 5*k**3).\nAnswer: 1545*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(98) - -2*sqrt(98)*-5)**2.\nAnswer: -126*sqrt(2) + 7939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765 and 665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 23*z**2 - 12*z + 3. What is f(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/13 (b) 71 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 725545, 725599, 725653?\n\"Answer: 54*h + 725491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23094, 91397, 205248, 364653, 569618, 820149, 1116252, 1457933?\n\"Answer: m**3 + 22768*m**2 - 8*m + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -7. Let j = a + 6. Let p = -3 + j. Which is greater: 2\/9 or p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let h = b - 1.8. What is the smallest value in h, -4, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 48, -234 in descending order.\nAnswer: 48, 9, -3, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56999557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 170. Suppose 10 - 11 = f. What is the closest to f in t, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - s + 264, -2*n + 7*n = -3*s + 658. Calculate the remainder when n is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b5040 (base 14) to base 5\nAnswer: -222133201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 448937073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r. Let v(h) = -11*h**2 + 2. Calculate d(v(l)).\nAnswer: 44*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*s**4 + 4\/5 + 0*s**3 - 8\/5*s**2 + 0*s = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:31 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 56900*x - 128442216 = 0. What is x?\nAnswer: -11411, -2814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 572904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-196)\/(-18))\/(30*(-68)\/(-2295)))\/((-7)\/(-8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**3 - 6*m**2 + 35*m - 145. List the prime factors of p(10).\nAnswer: 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39123 divided by -1863?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-48)*u)*u)**29*(u**(-23\/5)*u)**41 assuming u is positive.\nAnswer: u**(6367\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**2 - 9*t**2 - 586*t - t**2 + 10*t**2 - 3*t**2 to q*t**2 + f + a*t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14050 = -5*h - 2640. Let d = h - -66777\/20. Let v = -3\/5 + d. Which is the nearest to -1? (a) 0.8 (b) v (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7206 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 484920389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + 130\/8. Let q = -10 + o. Suppose j = -2*j + 12. Solve -3*i + 6 = -3*g, -j*i - i + q = -4*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 22. Let a be -10*(((-87)\/(-5))\/3 + -5). What is the second smallest value in a, 4, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55588\/6879015*(-15)\/(-4).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*q - 8 + 418 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + -54 - (17 - (4 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 4. Let b be (1 - -4)*16\/(-20). Let h be (-1 - -3)*2\/b. Let z be 2 - (-2 - (h - 0)). Give m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 7*x + 7. Let s(y) = y - 1. Let v = -8 - -20. Suppose 0*u - 2*u + v = 0. Let o be s(u). Calculate i(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**4 + 5 - 7*t**2 + 7*t**2 wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q + 4*k + 11 - 59, 5*k = 3*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36*h**3 - 4. Let y(s) = -35*s**3 + 3. Calculate -3*a(m) - 4*y(m).\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 126. Let w be 3 - (0 - (-202)\/h). What is the second smallest value in w, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 264\/5*j + 0 - 2\/5*j**2.\nAnswer: -2*j*(j - 132)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**2 + 495*j + 1061. Let m(s) = s**2 - s - 9. Let g(v) = -18*m(v) - 2*u(v). Factor g(n).\nAnswer: 4*(n - 245)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3701 = 171*i + 19*i + 9048 - 2679 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 7*r**6\/90 - r**5\/5 - 4*r**4 - 104*r**3\/9 - 8*r**2 - 2*r + 288. Factor c(f).\nAnswer: (f - 6)*(f + 2)**2*(7*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 19 = 5*o, -5*o = -2*o - 2*q - 14. Let d(l) = -3*l**2 + 4*l + 324. Let i be d(11). Solve 0 = o*y + t - 24, -3 + 13 = -2*y + i*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2845608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*t**2 + 248*t - 210*t - 38*t.\nAnswer: -400*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -62.97.\nAnswer: -61.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, 2, -0.5, 0.02, -0.2, -1634671?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 16}. What is prob of sequence ppf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 + -0.11. What is q rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001302202 (base 4) in base 10?\nAnswer: 793762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 22*r = 0. Suppose r = -218*w + 225*w. Solve w*d + 25 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 44 = -2*a - 4*j, -4*a - 4*j = -60. Let x be 20\/(-6)*a\/(-10). Factor 0*d**3 + 1\/5*d**2 + 0*d - 1\/5*d**x + 0.\nAnswer: -d**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*z**3 - z**3 - 3*z**3)*(-1 + 0 + 2) - 2308*z**3 + 54*z**3 - 4792*z**3)*(-5*z + 3*z - 5*z) as r*z**2 + v*z + y*z**3 + h + u*z**4 and give u.\nAnswer: 49336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 8556993.\nAnswer: -1\/8556993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/920*24*(-1)\/((-4)\/(-140))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5893825180 + -5.\nAnswer: 5893825175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-33))\/(4\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14041763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6. Let c be (2\/(-2) + 8)*j. Let t(l) = -l**3 + 8*l**2 - 7*l - 4. Let m be t(c). Let h(q) = 2*q + 3. Give h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46965 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 3*q**3 - q**3)*(-q**2 - 3*q + 3*q) + 2*q**5 - 3*q**5 + 2*q**5 + (0*q - 2*q**2 + 0*q)*(0*q**3 + 3*q**3 - 2*q**3) + 45*q**3 + 2*q**5 - 45*q**3.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0962 rounded to two dps?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 17*l - 28. What is k(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 0.5, 3.212506, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24470156 to the power of 1\/2, to the nearest integer?\nAnswer: 4947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/12 - 5*c**4\/6 - 79*c**2. What is i in k(i) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445, -442, -431, -406, -361, -290?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 628 + 776 = -11*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11797 + 11878. Calculate the remainder when 1675 is divided by u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*h**(2\/31) assuming h is positive.\nAnswer: h**(126\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 65?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*1*-2 + 1 + -1 - ((sqrt(1573)*-2 - sqrt(1573) - sqrt(1573)) + sqrt(1573) + 4 - (sqrt(1573) - (sqrt(1573) - (4 + sqrt(1573)*-1)))))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113222596034 - 22*n**3 + 113222596034 + 14*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*k - 200*k + 66*k**2)*(-9*k + 21 + 14*k - 7*k) + k**3 + k**3 - 3*k**3.\nAnswer: -133*k**3 + 1386*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 1648838789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 8*x + 5. Let g be f(5). Let z(k) = -8*k**3 + k**2 + 389*k + 387. Let h be z(-1). Solve -h*s + 11*s - g = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*v - 8, 5*p - 13 = 3*v + 11. Suppose -5*l = 0, p*r - r - 4*l - 35 = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210 * -8.\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 16*y - 10*y - y**2 + 4 - 6. Give b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.4, 2, -34, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 6*d - d)*(-2 + 9838*d**2 - 445*d**3 - 9838*d**2)*(-3 + 1 + 1).\nAnswer: -1335*d**4 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 246314 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -860, -886, -914, -944?\n\"Answer: -l**2 - 23*l - 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2006401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706233*k + 229 = 706206*k - 257 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -30*w + 28*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 + g + 2. Suppose 4*l + 15 = -13. Let d be n(l). Let a(c) = -c**3 - 5*c**2 + 5*c - 2. Let p be a(-6). Put -4, p, d in descending order.\nAnswer: p, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:39 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -3, 136 in decreasing order.\nAnswer: 136, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 18*o)*(-2 - 3 + 3) + (3*o + o - 2*o)*(0 - 1 + 4) - 11*o - 19*o + 14*o to x + d*o and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -116.99. Let h = 0.01 + c. Let y = 0 + 1. What is the third biggest value in h, -5\/3, y?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 13. Let c(t) = t - 12. Let z be c(16). Suppose -5*f + 6 = -p*k, 2*f - z*k = -2*f + 12. Solve f = b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 47 - 10*b + 8*b**2 - 9*b**2 + 17*b. Give t(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*f + 19*f + 2260. Round f to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 776*z - 43. Is u(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -2994.\nAnswer: 11\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (13 - (22 + -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3470501 * -0.3.\nAnswer: 1041150.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*s**3 - 476*s**3 + 968*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 + 6*x + 9. Let z(q) = -6*q**2 - 7*q - 9. Let o(i) = 5*k(i) + 6*z(i). Let b = 5 + -14. What is the smallest common multiple of 2 and o(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*d = 2, 0 = 2*o - d + 3*d + 2. Suppose o = -8*q + 3*q - 2*u + 4, q - u + 2 = 0. Solve 2*l + q*l = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2737 + 2771. Let r(g) = g**2 + 6*g + 9. Calculate the remainder when t is divided by r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) -32 (c) 1 (d) -8.081 (e) 2\/7 (f) -2\/19 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-25 - -15) - 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 + 4*m - 1. Let r be o(-3). Let x be 78\/(-15) - (-1)\/r. Is 2\/x + (-17)\/(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 0*s + 3957 - 6*s + 4*s.\nAnswer: -s + 3957","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (381\/2)\/((-15)\/200). Let w = 13325 + a. Is (w\/(-10) + 0)*(-4)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 - 3 = 0. Suppose 0 = 2*n - z*y, -n + y = 2*y - 10. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 32*t + 3. Suppose 5*b + 3*u + 92 = 0, 3*b - 6*u + 36 = -3*u. Let x be k(b). Solve -4*h + x = 4*p - 1, -2*h - 1 = p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580817509 rounded to the nearest 1000000?\nAnswer: -581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a)**(9\/2))**(-19)*(a*a*a**(1\/4))**(-2)\/(a**(-2\/5))**(-21) assuming a is positive.\nAnswer: a**(-1269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 162510*n + 52018115.\nAnswer: -5*(n - 317)*(n + 32819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 337303\nAnswer: -12817514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 329703557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -291 - 1875. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.4 + -18.4. Let r = 12 + l. Which is the closest to -0.1? (a) 0 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130) + sqrt(130) + (sqrt(130) + -4*(2*sqrt(130) + sqrt(130)) - sqrt(130)))*5)\/(sqrt(4840)*-1 + (sqrt(40) - sqrt(160)\/sqrt(4))*-3).\nAnswer: 75*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2 + 3. Let c(i) = -i - 8. Let s be c(-8). Let t be r(s). Solve -t*q = -4*d - 0*d + 22, d - 3*q - 10 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/5)\/y**(-7\/4) assuming y is positive.\nAnswer: y**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006229579 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*t + 124*t - 43*t + 284 = -7383 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5296\/7 + 756. Sort -8, 1, l, -0.08, -0.5 in ascending order.\nAnswer: -8, l, -0.5, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s + 20 = 0, 5*q + s = 16. Suppose -32 = -4*y - 2*a, 2*y - 4*a + 0*a + q = 0. What is the lowest common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -768\/49 + 754\/49. What is the nearest to -3\/7 in w, -42, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28072 = -1447*j + 15338 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2))**14*b**(-8)*b**(-3\/2)*b*b assuming b is positive.\nAnswer: b**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 85, 243, 561, 1093, 1893, 3015, 4513?\nAnswer: 6441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -0.1, 3665162?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = h - 3*v, 3*h - 13 = -2*v. Let c(x) = -x. Let p(t) = -124 + 62 + 60 + 5*t. Determine h*c(n) + p(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1516767 or 1516771?\nAnswer: 1516771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/1268 (b) -0.08 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50514 in -32, -0.2, 2\/7, -2\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186 - -197) + 106\/(-8)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4817, -4781, -4741, -4697?\n\"Answer: 2*g**2 + 30*g - 4849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(88)\/(1*sqrt(32)) + (sqrt(77) + ((sqrt(77) + (sqrt(77) - -2*sqrt(77)))*5 - sqrt(77)) + sqrt(77))\/sqrt(7))*-1)**2.\nAnswer: 86*sqrt(11) + 20355\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(288) + -3 + -3 + 1)**2 + -3).\nAnswer: -576*sqrt(2) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/12)\/(-5)*33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:24 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 6011175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.3.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6777852720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-14)*6\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1330081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 + 2*x**3 + 9*x**2 + 8*x**2 + 292*x.\nAnswer: 2*x**3 + 292*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -201610328\nAnswer: 1\/100805164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 + 373 = 18*k. Which is smaller: k or 36?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 9, -19, -67, -141, -247, -391?\n\"Answer: -c**3 - c**2 - 4*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 17 = 2*s, 16*s - 14 = 14*s - 2*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.004 - -27.004. Let y = -0.30292 - -27.29652. Let m = j - y. What is m rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12332 (base 5) to base 7\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33734 divided by -450.\nAnswer: -16867\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 158*l + 151.\nAnswer: 158*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31134 (base 5) to base 16\nAnswer: -7fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.8808 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 1 (c) 3\/7 (d) 0.4 (e) -1064\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n = t - 82, 3*n = 5*t - 4 + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + -1 + 1118 + -979?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123637, -247279, -370931, -494593, -618265, -741947, -865639?\nAnswer: -989341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*u**2 - 84*u**2 + 345*u**2 + 433*u**2.\nAnswer: 647*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -70. Let p(r) = 13*r**2 + 4*r - 2. What are the prime factors of p(o)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1383416667 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 2}. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1041 - 638. Find the third derivative of h*m - 200*m + 24*m**6 - 203*m + 18*m**2 wrt m.\nAnswer: 2880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + 3*p + p)*(2*p - p**3 - 35 + p + 39) to the form k*p**2 + t*p**3 + b*p + q + v*p**4 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 9*k = -3*l - 27, 3*l - 8*k + 38 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15 = 10. Let p be (-4 - 0) + 670 - f. Suppose -p = -5*a - 2*r, -a = -r - 3*r - 133. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1262*v**2 - 12*v - 47.\nAnswer: -2524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, -1, -2.27 in descending order.\nAnswer: -1, -2.27, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54558, 218260, 491104, 873090, 1364218, 1964488?\n\"Answer: 54571*q**2 - 11*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 469, 457, 445, 433, 421?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, h: 3, j: 2, d: 5, m: 1, g: 2}. What is prob of sequence jh?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-117)\/9750*104\/6*-1?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 229 - 32)*(-2 + 2*l**2 + 2 - 5*l**3).\nAnswer: 1060*l**3 - 424*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence logo when four letters picked without replacement from loofoolgo.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r**3 - 2 + 2 + 0*r**3 - 3*r**4 - 6*r**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 44351?\nAnswer: 44356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + 69. Suppose -3*c + d = -c. Is c a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32812 = 9*y - 235429. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3739 - -3742 - (-2 + 42 + -1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 8*l**2 - 2*l - 4. What is v(4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 203965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*sqrt(117) - sqrt(117))*5 + sqrt(117))*-5)\/(-2*sqrt(9)*-4 + sqrt(9) - (sqrt(81) - (sqrt(81) + (-1*sqrt(81) - sqrt(81))))).\nAnswer: -70*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -784*i**3*x + 4*i**2*x - 116*x wrt i?\nAnswer: -4704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**5\/20 - 2*x**4\/3 - 7*x**3\/6 - 3*x**2 - 115*x - 31. Let s(f) be the first derivative of j(f). Determine s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/20 - 7*j**4\/24 - j**3\/6 - 62*j**2. What is the remainder when z(-5) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 16*s + 16. Let q be -2 + (-4)\/(-3) + (-238)\/21. Let n be l(q). Let u = n + -34. What is the remainder when u is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v**9*v)))\/(v**6\/v)*(v*v**(1\/3))**(-17\/7) assuming v is positive.\nAnswer: v**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) -0.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30786993.\nAnswer: 3, 313, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v - 2*v**2 + 4*v**2 - 2*v**2 - 4*v**2 + (-3*v + 0*v + 2*v)*(1 - 1 - 3*v) - 5*v - 3*v**2 + 5*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137028609 to the nearest integer?\nAnswer: 11706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91 - 93) + (0 - -6) - (4 + -1 + 51).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1379377882438 - -0.1.\nAnswer: 1379377882438.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*38\/19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.024? (a) 1 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + a)*(143 + 32*a**3 - 143) - 2*a**4 - 3*a**4 + 4*a**4.\nAnswer: -33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h**3 - 34*h**2 - 610*h + 3636. What is f(6)?\nAnswer: 2424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r. Let v(x) = -1273 + 44*x + 1273. Give t(v(k)).\nAnswer: 132*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 - -275. What is the greatest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33728 is divided by 33670?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 370, -4, -9196 in increasing order.\nAnswer: -9196, -4, 370","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*i - 14. Differentiate i*p**3 - 3 - 6*p**3 + 1 wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1728 - 766 + 2731 + 206)*(-5*f**4 + 3*f**4 + 4*f**4).\nAnswer: 7798*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1310*t**2*y**3 + 14*t**2*y - t**2 - 9*t + 3*y**3 - 6524*y - 372 wrt t.\nAnswer: 2620*t*y**3 + 28*t*y - 2*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*h**3 - 5152 - 1536*h + 114*h**2 + 6176 + 222*h**2.\nAnswer: -4*(h - 8)**2*(5*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277141*m - m**4 - 11 - 3*m**2 + 4*m**2 - 277158*m to i*m**4 + g*m + p*m**3 + f*m**2 + b and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-2080530429.2\nAnswer: -2080530429.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 493*f - 991. Let l be c(2). Solve 0 = -33*v + 85 - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - -96. What is the greatest common divisor of m and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 + 7396*m**2 + 59272*m + 88944 = 0.\nAnswer: -6, -2, 3706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22878 - 13632. Is 33 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 1853407328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10128, -3, 2 in ascending order.\nAnswer: -10128, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(70 - 70 + 84*o) - 2*o + 2*o + o + 0*o + 0*o + 2*o + (-2 + 6 + 0)*(-4*o + 4*o - o) as n + p*o and give p.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3627 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y. Let w(q) = -q. Let n(r) = -j(r) + 16*w(r). Let k(i) be the third derivative of -13*i**4\/12 - 5847*i**2. Give n(k(b)).\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - m + m)*(0*m - 2 + 3 - 2*m)*(2*m**2 - 3*m**2 + 0*m**2).\nAnswer: 20*m**4 - 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -32. Let f be -1 - (30\/4)\/(-5). Which is the closest to -2\/7? (a) -0.2 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 3*y**2)*(-14 - 103*y - 29*y + 11*y - 19*y).\nAnswer: -420*y**3 - 42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 35 = 7*p - 2*p, -m - 3*p - 9 = 0. Solve -f - m*x - 9 = -4*f, -3 = -f - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492883 is divided by 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9070 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 41 = -3*r. Suppose 5*c - 3*v = 34, 2*c = 5*c - 5*v - r. Suppose 13 + 12 = -c*a. Round a to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.11 from 0.029.\nAnswer: 1.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 1.21. Let y = h - 2.11. Let x = y - -0.2. Sort x, -1, 1\/5 in ascending order.\nAnswer: x, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1803 in 6, 0.4, -1\/8, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 11) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(176) + 2*sqrt(176) + sqrt(176))*1 + 5 + -1)**2 + -2.\nAnswer: 128*sqrt(11) + 2830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*o + 68*o**2 + 81*o**2 + 2 - 15*o + 4 wrt o.\nAnswer: 298*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*u**2 - 41*u**2 - 4*u**3 + 19*u**3 wrt u?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*y**3 + 13*y**3 + 17*y**3)*(3*y - 4*y - 2*y)*(4 - 1 + 3) to the form d + v*y**3 + x*y + t*y**4 + f*y**2 and give t.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/14*1)\/((-11)\/132). What is the fourth smallest value in b, 0.05, -4, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 6) + 2\/(-4). Let u = -147 + 144. Put d, -2\/15, u, 1\/9 in decreasing order.\nAnswer: d, 1\/9, -2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g = -278*g + 2625 + 7815 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1106325, 1106328, 1106331?\n\"Answer: 3*m + 1106322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 7*h - 7. Let x be i(5). Solve 4*l + 9 = -x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0121996065 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-10 - -21) - 10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 759*t**2 + 439*t + 3. Let u(p) = -253*p**2 - 147*p - 1. Let h(c) = 4*f(c) + 11*u(c). Find the second derivative of h(w) wrt w.\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((1 - (9 + -4)) + -13 + 22)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127\/6 or -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*w**2 + 4624*w**3 + 2*w**5 - 75 + 28*w**2 + 59*w**2 wrt w.\nAnswer: 120*w**2 + 27744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22889, 45776, 68663, 91550, 114437?\n\"Answer: 22887*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/(-2552)*-11*(2 + 30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -22. Suppose 2*l - 12 = -q. Factor -96*h**4 - 3 + l*h + 97*h**4 - 4*h**3 + 3*h**2 - 1.\nAnswer: (h - 2)**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/8 - 43\/24. Let j = -121905\/17 - -7170. Sort 5, j, z.\nAnswer: j, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1 - (-18 - -21)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 1 + 12 - 13. Let v(r) = -4*r + 1 + 5*r + 5*r. Give 5*l(n) - v(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -5, 522, -0.13, -4\/5 in descending order.\nAnswer: 522, 0, -0.13, -4\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 bigger than -1\/16963473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - -55. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6368 = 656*s - 2904 + 88 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492735 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157 - -453975.\nAnswer: 454132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*-32)\/(((-186)\/(-720))\/(-31))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.4*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**3 + 2*c**2 - 4*c - 4. Suppose 10 - 642 = 8*h. Let s = h - -82. Let n(i) = 6*i**3 + 2*i**2 - 3*i - 3. What is s*m(a) - 4*n(a)?\nAnswer: -3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -67065.\nAnswer: 33532.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 14 = -3*b. Suppose 0*g = -g + 4*x + b, 4*g + 5*x - 7 = 0. Let p(r) = 3*r**2 + 1 + 9*r**g - 4*r**2 - 2*r + 3*r**2. Calculate p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + k = 4*u + 7, -4 = -3*u - 2*k. Suppose 2*o - 5*m - 70284 = 0, -m = u*o - 3128 - 67168. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-52)\/6)\/(4\/(-6)). Suppose -i = 3*b - b - s, 0 = 4*i + 3*b - 27. Suppose 8 + 2 = 5*m. What is the remainder when i is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81784.68 milligrams?\nAnswer: 81.78468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, -0.2, 1\/4, -15\/32, -1\/2 in increasing order.\nAnswer: -1\/2, -15\/32, -0.2, 1\/4, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60292142777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 13*m**2 + m - 10. Let p(l) = -l**3 - 14*l**2 - l + 10. Let x(g) = 5*i(g) + 4*p(g). What is the remainder when x(-8) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and 1486546.\nAnswer: -2229819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 23. Suppose 0 = 12*z - 247 + 211. Solve z = v - l*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/265 (b) -7 (c) -19 (d) -5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -492, 19561 in descending order.\nAnswer: 19561, 11, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12\/(496\/(-112) + 4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(1386\/(-12)) - (-3 - 2978\/42)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2041201, 8164877, 18371031, 32659663, 51030773, 73484361, 100020427?\n\"Answer: 2041239*x**2 - 41*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-12)\/3 + 144. Suppose 4*z = -5*z - f. Let a = -16 - z. Solve -2*r + x - 3 = a, -3*r + 3*x = 8 - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -36962778\nAnswer: -147851112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1. Let r(b) = b**2 + 9*b + 6. Suppose -3*z + 10 = 1. Let j(c) = z*r(c) + 6*m(c). Find d, given that j(d) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + 8 - 8)*(5*k**2 - 4*k**2 + 0*k**2) + 2*k - 3*k**3 - 2*k)*(0*k - 2*k + k).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 207, 175, 211, 327, 535, 847?\n\"Answer: 2*j**3 + 22*j**2 - 112*j + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4\/9 - 11277196*p**3\/3 - 22554394*p**2\/3 - 33831592*p\/9 = 0.\nAnswer: -1, 0, 16915796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4201*z**3 - 2*z**2 - z + 1. Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(6\/5))\/(z\/(z\/(z*z*z\/z**(1\/5)*z))))\/((z**1\/z)\/z*z)**(-33))**21)**(4\/19) assuming z is positive.\nAnswer: z**(-336\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2633 and -3?\nAnswer: -7899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 28*v + 84. Let n be h(-3). Suppose 5*m + 3*i + 27 = n, -i + 16 = 4*m + 32. Let r(x) = -x**3 - 2*x**2 + 3*x - 5. Give r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1374208 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1. Let u(g) = 112*g - 5. Let m(j) = q(j) + u(j). Let a be m(4). Round a to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose -2*n - 4*z = -30, m*n = -n - 4*z + 25. Let a = 3 + n. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-312))\/((-4)\/(-24)). Suppose o + 4 = -0*o + 2*y, 5*o - 3*y - 1 = 0. Let k = -1.2 + 0.2. Which is the closest to 0.2? (a) o (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -111789728 and 3811.8?\nAnswer: 111793539.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19358 - 677.80642. What is the second smallest value in j, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/((-128)\/48)*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7754383 micrometers in centimeters?\nAnswer: 0.00007754383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3089641652 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = -0. Let a(u) = 34*u**2 - 1. Let r be a(c). Suppose 5 = -4*w - 3*i + r, -8 = -2*i. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219810637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6756 - -1?\nAnswer: -6755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47656 is divided by 567.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15663740100 rounded to the nearest one million?\nAnswer: -15664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by -24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 equal to 2328\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5988*l - 5565*l = -30456 for l.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:30 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3, -128 = 5*b - 4*y - 144 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 - -16) + (0 - 1). Factor 5*y**2 + 0*y - 2*y**3 - 17*y**2 - y**h + 12*y**4 + 3*y.\nAnswer: 3*y*(y - 1)*(y + 1)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let y(d) = -d - 1. Suppose 0*n - 8 = 8*n. Determine n*y(t) + u(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 19020*w**2.\nAnswer: 5*w**2*(w + 3804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4, 45*q = -381*k + 384*k - 129 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -44*y + 79. Let l be b(1). Solve l = 6*o + 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + 2. Let h = -10 + g. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1826 and 7242829.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -137. Let g(z) = 8*z**2 + 5*z - 8. Let i(n) = -3*n**2 - 4*n - 3. Let l(a) = 2*a**2 + 3*a + 3. Let w(x) = -5*i(x) - 6*l(x). Give y*g(v) + 11*w(v).\nAnswer: v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3624342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/289?\nAnswer: -3\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 146286334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -56\/409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -337 (base 15) to base 6\nAnswer: -3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84\/10101*-13*-148\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.2 (c) 0.062 (d) 44148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11291, -11332, -11417, -11552, -11743?\n\"Answer: -u**3 - 16*u**2 + 14*u - 11288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**11\/g)\/(g*g**9)*((g**(2\/9)*g)\/g)\/(g**(-5)\/g))**5 assuming g is positive.\nAnswer: g**(325\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/32 or 31\/52?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -30369?\nAnswer: 18221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 106, 3, -0.07, -3, -1\/4?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122180037 divided by 119?\nAnswer: 1026723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1\/3*b**3 + 7*b - 1 + 3*b**2. Is w(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*y + 246770, 5*y + 246725 = -15*w + 10*w. Round w to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -4710?\nAnswer: 4710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -28*b**3 - b**2 - 3*b + 3. Let x be r(1). Let f = x + 34. Solve -10 = 3*s - 7*s - f*j, -3 = -s - j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -627 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155883 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -94)*(-20)\/(-160)*-8. Let t be 9 - 7 - 466\/(-2). What is the greatest common factor of t and h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16992 is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 + -111. Suppose -x - 2 = -h. Let o(i) = 2*i + 5. Let f be o(-3). Sort 0, h, f in ascending order.\nAnswer: f, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-4))\/2 - (-17)\/5. Let x = 0.46 - 7.66. Let y = -7 - x. What is the third smallest value in r, 3\/7, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 3*s**4\/16 - s**3\/4 - 6. What is h in c(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2412135 nanometers to micrometers.\nAnswer: 0.0002412135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.54115 * 30.9.\nAnswer: -140.321535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 105318.\nAnswer: 105318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 3)\/(1 - 2). Suppose -2*h = h - q + 1, 5*h - q + s = 0. Suppose 3 = -b + 2*g, 15 = 5*g - h. Solve 0 = i - b*v - 8 + 4, -2 = 2*i - v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/((x\/(x*x**(-1\/4)))\/x)*x*x)*x*x)**(4\/3)*x**(2\/9)*x**(-1\/4))**(2\/19))**(2\/93) assuming x is positive.\nAnswer: x**(-37\/15903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 24.4486.\nAnswer: -73.3458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) - (sqrt(72) + 1))) + 5)**2 + -1)*-2.\nAnswer: -214 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.9 + -14.6. Put -4\/5, -3\/5, 5, m in decreasing order.\nAnswer: 5, m, -3\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 28 - (159 + -12)) + (0 - 6) + 15\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3\/6 - h. Let a(p) = -2*p + 32. Let u be a(16). Suppose -13 - 7 = -k - 3*w, u = 4*k + w - 36. Determine y(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074619764 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 21*v - 69. Let l be x(24). Suppose 3*a + 0*b - 10 = 4*b, l*a - b - 7 = 0. Solve -3*n = -a*p - 3, 5*p = 2*p - 3*n + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -29*h**4\/4 + 6*h**3 - 5*h + 522. What is the third derivative of m(i) wrt i?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.85768 tonnes to kilograms.\nAnswer: 27857.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47575875 to the nearest integer?\nAnswer: 6898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/(-81) - 8\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*m - 3456 = -132*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 - 2*m - 3. Let y be (-8)\/(-1)*21\/(-56). Calculate o(y).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265626 (base 10) in base 7?\nAnswer: -13520605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679197, -2716811, -6112851, -10867329, -16980257, -24451647, -33281511, -43469861?\nAnswer: -55016709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83154670 + -364140.\nAnswer: -83518810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*y**5 + y**4 - 5*y + 120?\nAnswer: 3460*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1152)*1)\/sqrt(2)*1)\/((sqrt(6)*-1)\/sqrt(2) - -1*sqrt(27)))**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17565.65 (b) -7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-43 - (-18 - 6))) + -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15*l**2 - 59*l + 24. What is the units digit of r(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 10*g**2 + 11*g + 21. Let z be v(-9). Suppose 0 = 5*m + 4*o + 119 - 1621, -2*o + 900 = z*m. List the prime factors of m.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t**2. Let n(d) = 138*d - 20. Suppose 87 = 12*l + 27. Let s be n(l). Let g(z) = -s + 2*z + 670. Give g(x(b)).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 691646 + -6?\nAnswer: 691640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6280.778829 and 7.27.\nAnswer: -6273.508829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*y + 2*m, -26*m + 29*m - 6 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -883192 divided by 154.\nAnswer: -441596\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.821 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**3\/2 + p**2 + 7*p. Let a(o) = 4*o - 3. Let i(v) = -2*a(v) - 3*d(v). Let z(n) = 20*n. Calculate z(i(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**(-1))))**16\/(y**(3\/5)*y)**(-1\/22) assuming y is positive.\nAnswer: y**(1764\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 8, y: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 328140996 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 8 - 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l + 8 = 0, 5*l = -5*g + 85. Suppose -18*p - 9 = -g*p. Suppose 2*h + p*h = 160. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 1\/30*g**5 - 1\/6*g**4 - 13*g**2 + 5\/6*g**3 + 0*g + 0. What is x(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 4*q - 523 + 540, -3*f + 9 = 4*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10940*g*w + 4*g + 7724*w + 14 wrt g?\nAnswer: 10940*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.52 + -4.48. Which is the third smallest value? (a) 0.1 (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 327094666 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -120, -2 in increasing order.\nAnswer: -120, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 8816404 = -23*l + 10*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/9, 51, -0.3, -1.\nAnswer: -1, -0.3, 2\/9, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Suppose 2*u - 2 = 5*g - 2*u, 3*g = -u + 9. Let c(s) = -g*s**2 + 1 - 6 + 90*s - 90*s. What is y(c(d))?\nAnswer: -4*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4*z - 5*i**4 + 384*i**3*z + i + z - 4204 wrt i.\nAnswer: 12*i**2*z - 60*i**2 + 2304*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6729 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 17483*v**2 - 531206*v + 1437315.\nAnswer: -(v + 33)*(v + 8711)*(2*v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 58. Solve 0 = -5*x + 5 + o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-90)*-4*(-6)\/48?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*d - 22*d + 402 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -1.2. Which is the second biggest value? (a) -0.06 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381229*h*w**2 - 3*h*w - h - 2574 wrt w.\nAnswer: -762458*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 6*i. Let l(k) = -5*k + k**2 - 2*k**i - 25 - k + 24. Let m = -1 + -5. Calculate l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469735\/27 - 17395. Find the common denominator of -23\/1956 and g.\nAnswer: 17604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -3, -12, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w = 8, -4*v = 4*w - 28. Suppose 3*b + 46 = -v*k + 7*b, 4*k + 108 = -4*b. Find the common denominator of k and 53\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b4 (base 14) to base 15\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -4*x + 3*s + 50, -25 = -x + s. What is the common denominator of -37\/16 and (-485)\/6*x\/(-400)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = h. Let n = 12 + h. Let x = n - -7. What is the highest common divisor of 105 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209918 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 4. Let m = 5 + -2. Suppose -2*f = -5*b + 2 - 6, -6 = -m*f + b. Suppose -4*a - h = -21, 2*a = -f*a + 4*h - 4. What is i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 10534.38.\nAnswer: 10534.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -75. Let l be (-4)\/(-14) - m\/35. Find the second derivative of -l*g + 0*g**4 + g**4 + 3*g wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4 = -7*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 157, 12.2, 1\/3, -559?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 997*b + 646. Let c(i) = 7*i. Let m(u) = -6*c(u) - v(u). What is the derivative of m(r) wrt r?\nAnswer: -1039","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 17) + -8 + (-5 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 + 10*g**2 + 9*g - 4. Let a be b(9). Round a to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 4*w. Suppose 0 = -u + w*k + 31, -96 = -0*u - 4*u + 5*k. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 + 6*n**3 - 7*n**3 - 11*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-1 - 16963*m + 1 + 0 + 18367*m).\nAnswer: -4212*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b6 + -45?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2341 - -45?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75, -145, -193, -207, -175, -85, 75?\n\"Answer: 2*w**3 - w**2 - 81*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001445 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 6) + 1 + -25 - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -613*m**2 - 36*m + 4. Let u(t) = 1227*t**2 + 81*t - 9. Give -9*g(p) - 4*u(p).\nAnswer: 609*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccff when four letters picked without replacement from ffcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/21 + 262\/(-6). Let t = 45 + j. Suppose -4 = -3*v - t. Solve 4 = q + v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/5 (b) 0.5 (c) 278 (d) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -878.\nAnswer: 26.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 87\/(-4) - (-3)\/(-12). Let c = q + 111. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3398046712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -0*m - 2*o + 12, m + 4*o = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -v - 167, -2*v - 302 = 4*c - 6*c. Let b be ((-84)\/v)\/(1\/7). Solve 2*o - 5*w - 17 = 0, -b*o = -4*w - 15 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -23. Let n(k) = 3*k**2 - 13*k + 6. Let d be n(5). Let s = 16 - d. Solve 3*q - q - i = s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 - -3940. Does 65 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 5. Let h be (16\/t)\/((-4)\/(-30)). Let p(d) = 12*d + 1. Calculate the remainder when p(h) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/(sqrt(48)\/sqrt(4)))\/((sqrt(168)\/sqrt(7))\/sqrt(8))*-2.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + c - 5, -40653*c - 10 = -q - 40655*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 17}. Give prob of picking 1 v and 2 q.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1298042*g. Let q(f) = -20*f**2. Determine o(q(x)).\nAnswer: -25960840*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/12 - v**3\/6 + 15*v**2 + 2*v - 12. Let q(h) be the second derivative of o(h). Determine q(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 1500.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 599 + -417. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2243 + 2243.0001232. Round i to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*n + 145, -39*n = -37*n + 5*v - 89. Calculate the remainder when 3569 is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -12. Solve 0 = -3*i + 3*s - 18, o*s - 4 = -5*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 + 22474485*o**2 + 42091659492849*o - 799749643673793 = 0.\nAnswer: -3745757, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648 + 164 + 167 + 149 + 1879*j + 168.\nAnswer: 1879*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 = -10*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.357 - 1.29. Let s = 17.3001 + -17.37. Let o = s + r. Round o to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**13)**(1\/31)\/((j**(-2\/11)*j)\/((j\/j**(2\/5))\/j)*(j**1)**19) assuming j is positive.\nAnswer: j**(-102701\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1418, 2825, 4238, 5657, 7082, 8513?\n\"Answer: 3*f**2 + 1398*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 10*s**2 + 13*s - 5. Let i be p(9). Calculate the highest common factor of 31 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1722862?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 32. Solve 0 = 5*p + 7 + b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15966 is divided by 347.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (6 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.97 rounded to zero decimal places?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 130982 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.999788 - -15. Round j to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 21719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5444 times 0.5\nAnswer: 2722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2*m**3 - 9*m**2 + 1 - 3*m**2 + 0 + 7*m**2 as q*m**2 + a*m**3 + b + y*m and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2. Let q(j) = j**3 + j + 5. Let n be q(0). Let w(z) = -n*z - z + 3*z. Give w(g(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 589, 585, 579, 571, 561?\n\"Answer: -n**2 - n + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 4*g**2 + 12*g + 6. What is j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 9599?\nAnswer: 959c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 5*y**2 + 5*y**2 - y**3 - 2*y**3 + y**3 + (-y + 3*y - 3*y)*(-y - y**2 + y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -5. Suppose -4*v + i - a*i = -5, -5*v = 5*i - 5. Let l = 4 + -1. Put 4, v, l in increasing order.\nAnswer: v, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -0*q + 4*q. Let m = q - 11. Let a = -4 + m. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1553*j - 169. List the prime factors of p(10).\nAnswer: 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + y**3 - 3)*(3 - 6*y - 3) + 6*y**4 + 2*y**4 - 3*y**4 - 3*y**4 + 0*y**4 + 4*y**4 + (-2*y**2 - 2*y**3 + 2*y**2)*(4*y - 4*y + 2*y).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -5*b - b. List the prime factors of (-9)\/((b\/18)\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3496868132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-47 + (-1 + -11)\/6)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12902, -25808, -38716, -51626, -64538?\nAnswer: -77452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6993 and 10989.\nAnswer: 76923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -891 + 893. Let y = -1.5 + 1. Let r = 4 + -7. Which is the nearest to z? (a) r (b) y (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 0, b = -b + 3*s - 9. Suppose -8*a - 85 = -3*a. Let u = b - a. Solve -u = f + 3*v, -8*f + 3*f = -2*v - 30 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -955 + 10507\/11. Let g = 82.26 - 82. What is the second biggest value in i, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 52*v**4\/5 + 304*v**3\/5 + 45*v**2 + 23*v\/5 - 2 = 0?\nAnswer: -5, -1\/2, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/4 - t**3 + 7*t**2\/2 - 5*t - 1. Let x be o(-6). Is (-2)\/(-7) - x\/(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - k. Suppose -3*h = 0, 4*u + 3*h + 0*h = -4. Let a(d) = d**3 + 6*d**2 + 6*d - 3. Determine u*a(n) - 6*z(n).\nAnswer: -n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 3. Let g be p(3). Let u be (12\/8)\/(g\/8). Suppose 0 = -3*n - 5*t + 7 + 2, 0 = t. Solve n*d = u + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*g - 55 = 0, 2*p + 5*g - 3*g = 70. What is the remainder when p is divided by (-3)\/(6\/11)*-2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-5))\/2*-5. Suppose d + m = 2*d. Suppose -4*z + d*g = -g - 139, -z + 21 = -4*g. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 3.4 (c) -1\/3 (d) 1\/5 (e) -22252 (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**3 - 7*d**2 + 33*d.\nAnswer: 54*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 11*n - 130753 = -10*n, -2*b + 87186 = -5*n. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -223, -7892, 0.4?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 197457844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 5*t + 19. Suppose -141*q + 890 = 37*q. Calculate c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 90*q - 599. Give h(12).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 96.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.926848mg to grams.\nAnswer: 0.004926848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5253820153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 232 + 8. Suppose 0 = d - 7*d + c. Let x(o) = o**3 + 6*o**2 - 3*o + 1. What is the remainder when x(-6) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325185 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54046 and 2117981.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*w = -w + 330, -2*m + 4*w = 136. Let o = 105 + m. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*y**5 + 1174*y**4 + 11*y**3 + 108457*y**2 - y + 15.\nAnswer: -1680*y**2 + 28176*y + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -62*t + 1055. Give m(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**8\/84 - g**4\/24 - 2*g**2 + g. Let c(l) be the first derivative of t(l). What is the second derivative of c(z) wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10649470441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 198360 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 19*w - 2*w**2 + 6421*w**3 - 2*w**2.\nAnswer: 6421*w**3 - 2*w**2 - 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) + 6461\/(-182)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121465, 121467, 121469?\nAnswer: 121471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmbiimmmmmmmb. Give prob of sequence mbib.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1839512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 42. Let t = -30 + k. Let z = t + 20.1. Put 0.2, 5, z, 0 in descending order.\nAnswer: 5, z, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 5\/2, -19, -3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 12434 = 4208. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11101)\/(-136) + (-6)\/(-16)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**5\/90 + a**4\/54 - 8*a. Let g(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.2. Let o = -0.1 - b. Let w = 0.462 - 0.062. What is the third biggest value in 2, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*g = -170, 245 = 370*x - 379*x + 5*g for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*x**3*y - x**3 - x**2*y - 2*x**2 + 30*x*y + 53*y wrt x?\nAnswer: -1194*x*y - 6*x - 2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 62. Suppose -4*d + 3*q = -21, 7 = 4*d + w*q - 20. Let h = -5 - -9. Calculate the lowest common multiple of h and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.25 - 0.25. Which is the second smallest value? (a) h (b) 10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 108 (c) -51.431\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**3*u)\/u*u\/u**6)\/(u*(u*u*u**(-1))\/u)**(3\/2))**(-1\/4) assuming u is positive.\nAnswer: u**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*m + 148*m + 42*m.\nAnswer: 463*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.4731.\nAnswer: 1.4193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106831 is divided by 52535?\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 + 5735*j**4 - 39960*j**3 + 68400*j**2 = 0.\nAnswer: 0, 3, 4, 1140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**7\/1260 + g**6\/240 + g**5\/360 - g**4\/48 - g**3\/18 + 233*g**2 + 1. Suppose y(t) = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -87*b + 1. Let y be i(-1). Suppose g - y = 346. Is (-6)\/27 + g\/9 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -0.034 (c) -0.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - t - 1. Let x be q(-1). Let f(i) = -i + x*i + 4*i - 2*i. Let d(k) = -k**2. What is d(f(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2. Let p(a) = -40766*a. Determine s(p(x)).\nAnswer: -4985600268*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28 and 33\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 2*(1\/(-4) + (-23)\/(-4))?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 184\/(-20) + (-3)\/(-15). Let q = i - -16. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427469200 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6))**(2\/13)\/((b*b**(1\/20)\/b)\/(b\/b**14)) assuming b is positive.\nAnswer: b**(-3633\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 2*h**3 - 5*h**3)*(0 + 6 - 24*h + 23*h).\nAnswer: 6*h**4 - 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 - -0.23. Let h = 0.01999968 - w. What is h rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**3 + 3*h**2 - 16*h + 4. Let s be q(3). Let n = s - -535. Calculate the highest common divisor of 94 and n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 5*m**2 - 4*m + 7. Let g be s(6). Let c = g + 1. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474315 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 28*o - 89. Let s be d(-5). What is the greatest common factor of 338 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/2 + 352419*g + 13391561\/2 = 0.\nAnswer: -704819, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqhzqzqqqoaol. Give prob of sequence oz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Suppose -5 = -o - g, 4*o - 5*g - 7 = o. Let t be (-64)\/(-78) + (-2)\/3. Which is the nearest to l? (a) 3\/4 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49167665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f + 4*f - 24*f + 6*f to the form a*f + y and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(5) - (sqrt(5) + 0)*3) + sqrt(10)\/(sqrt(2)*-2) - (-3*(1 + sqrt(5))**2 + 3)) + 2.\nAnswer: 14*sqrt(5) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87588, 175182, 262772, 350352, 437916?\n\"Answer: -j**3 + 4*j**2 + 87589*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + -4 - (17 + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h - 12. Put -5, h, -2 in decreasing order.\nAnswer: -2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 8. Let m be l(5). Let p be ((-12)\/(-105))\/(2\/5). What is the nearest to -0.2 in m, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 + 72*h**2 = 0. What is h?\nAnswer: 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10439, -5, -0.075 in descending order.\nAnswer: 10439, -0.075, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29834071 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1420633\nAnswer: 2\/1420633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 5*f + f**2)*(-6*f**3 + 14*f**3 + 2*f**3) + (-4*f + 3*f + 2*f)*(0*f**4 - f**4 + 3*f**4) - 3*f**5 - 6*f**5 + 5*f**5.\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -54834180 divided by -60?\nAnswer: 913903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 9*x + 24. Let c = -216 + 221. Let h be u(c). Solve -2*w + w + h = 2*a, 0 = -5*a + 4*w + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 + 11?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2\/7, 1356, -13?\nAnswer: 1356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/6)\/((-2)\/6). Let t = d - -27\/2. Sort -0.9, t, 3 in descending order.\nAnswer: 3, t, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 + 2 = 0. What is the tens digit of f\/(-1) - (-17)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/120 + f**5\/10 + f**4\/12 - 7*f**3\/6 - 2*f**2. Let l be r(6). Let j = -32 - -32.2. Sort l, -4, j in increasing order.\nAnswer: -4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15663?\nAnswer: 3, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 15*q**2 + 2. Let h(n) be the first derivative of 5*n**2\/2 + 704. Calculate v(h(f)).\nAnswer: 375*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(147) + sqrt(147) + sqrt(147) + 1*sqrt(147)*-2 + sqrt(147) + 0 + -1 + sqrt(147) + sqrt(147))**2.\nAnswer: 168*sqrt(3) + 2361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817515 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -9*g**2 + 25*g - 7. Let o(l) = 13*l**2 - 38*l + 11. Let q(s) = -5*o(s) - 7*p(s). Let f be q(7). Let b(n) = 3*n**3. Calculate b(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 18*i + 62. Suppose 12*p - 7*p - 126 = -3*z, 0 = 2*z - 4*p - 84. Calculate the remainder when s(8) is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 1. Let s = 1.3 - r. Let t = s - -0.2. Which is the smallest value? (a) t (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1417 + 15597\/11. Calculate the common denominator of y and 91\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011100011 + -1010000100110110011?\nAnswer: -1010001111010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12013266 - 86?\nAnswer: 12013180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*c**4*f - 1002*c**2*f**2 + 8*c*f**2 + 2*c - 25712*f wrt c?\nAnswer: -1260*c**2*f - 2004*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrerjrj. Give prob of picking 2 j and 1 r.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -78. Solve -2*d + 36 - m = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v**2 + 14*v - 14. Let g(c) = -4*c**2 - 3*c + 3. Let p(d) = -14*g(d) - 3*q(d). Let t(m) = -522*m. Give p(t(y)).\nAnswer: -1907388*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(180\/405 - ((-16)\/18)\/(-4)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 + 194 = 4*t - 2*d, 0 = -3*t - 2*d - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g + 5. Let h = -12 - -12. Calculate the remainder when 13 is divided by m(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686719 rounded to the nearest 10000?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -140 + (5 - 5)\/6. Let u = r + 179. Calculate the remainder when u is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 8:49 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*q - q**2 - 3064930*q**3 - 4 - q**2 + 3064933*q**3)*(-2 + 2 - q) in the form g*q**2 + z + k*q + l*q**3 + b*q**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -5*a**2 - 71*a - 17. Let g be z(-16). Round g to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 54, 48, 40, 30, 18, 4?\n\"Answer: -k**2 - k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h - 320 = -936 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 28*x**2 - 2*x + 36. Determine d(-28).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l + 5. Determine f(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*j + 108 = 100*j. Let m(v) = -v**3 + 28*v**2 - 12*v - 41. List the prime factors of m(j).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 16473790 - 696*z**3 - z**2 - 16473790.\nAnswer: -696*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3361667, -6723323, -10084979, -13446635, -16808291, -20169947?\nAnswer: -23531603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -6 - 7) + 8. Let p(r) = r**2 - 2*r - 4. What is p(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.754 rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuhauha. Give prob of sequence aaau.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 754 and 472758.\nAnswer: 472758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 0.4, 926261, -0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1156 + 1153.988. Let x = g + 0.012. Which is the biggest value? (a) x (b) -0.6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8243*k**3\/5 + 403899*k**2\/5 - 4038678*k\/5 - 784 = 0.\nAnswer: -8\/8243, 14, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 - 12.3. Let s = 66 - 56. Let u = w + s. Sort u, 1\/4, -0.2 in ascending order.\nAnswer: -0.2, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -39?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -226501 and 145397.\nAnswer: -81104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 0, -25.\nAnswer: -25, -7, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*z + 19 - 0, -3*z - 6 = 4*q. Let o be (4\/(-3))\/((-68)\/153). Let b be (-10)\/(1 - o - -4). Sort b, -26, z in ascending order.\nAnswer: -26, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/7*k - 6\/7*k**2 + 9\/7*k**3 + 0.\nAnswer: 3*k*(k + 1)*(3*k - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1) - (15 - -2)\/(132\/(-264)). Solve 23*q = -p*q - 220 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 4. Let i = -857.0396 + 857. Let y = -2.9604 + i. Put a, 4, y in decreasing order.\nAnswer: a, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2599632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z. Suppose z*n = -n + 2. Suppose -30 - 38 = -n*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 6*g + 1. What is the remainder when (-10)\/4*12\/(-3) is divided by o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y = -45*y + 134 - 489 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 434\/279*-45*(-4)\/40?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*j + 448 + 451 - 899.\nAnswer: 55*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 44345.07319 to the nearest one hundred.\nAnswer: 44300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from popppoppppoppppppppp. What is prob of sequence opoo?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43067 from -2646760.\nAnswer: -2689827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 5 = -5*r - k, -2*r - 2*k = 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60, 194, 818, 1998, 3920?\n\"Answer: 31*y**3 - y**2 + 40*y - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183946, 183407, 182866, 182323, 181778, 181231, 180682?\nAnswer: 180131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10909.7 - -10910. Put r, 3, -1\/2, -0.1, 413 in increasing order.\nAnswer: -1\/2, -0.1, r, 3, 413","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4783*h**4 + h**2 - 16549*h wrt h?\nAnswer: 57396*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -259978953366.\nAnswer: -259978953363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 109495350 a multiple of 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.2 minus -5?\nAnswer: 588.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1250*b**3\/3 - 12427600*b**2 - 2982606*b - 178956.\nAnswer: -2*(b + 29826)*(25*b + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 f, and 1 s when four letters picked without replacement from {f: 2, o: 4, h: 2, s: 1, l: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let o(f) = -2*f + 1. Give 5*h(l) - o(l).\nAnswer: -3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121859 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 + 3*z**2 - 2. Let b be j(1). Suppose 3*g + 11 = y, -3*y = -2*y + 4*g + 24. Put b, 6, y in descending order.\nAnswer: 6, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 156*1*20\/(-30). Let g = 197 + y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -59\/3, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12591\/2 + 6296. What is the closest to -0.2 in k, -1, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6938.413 nanometers in meters?\nAnswer: 0.000006938413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 29*r. Suppose r = 5*b - 17*b + 8028. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6764 + 1.0382. Round x to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -433*m - 208 = -424*m + 26 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33 and -8\/35121.\nAnswer: 386331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 51, 90, 139, 198, 267?\n\"Answer: 5*b**2 + 14*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 128*n - 627 - 969 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36141.44kg to milligrams.\nAnswer: 36141440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -38*j + 39*j, -c = 3*j + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.75?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.41 minus 746901?\nAnswer: -746878.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -295 - -290. Suppose 7 = -3*g - t + 1, -4*t + 6 = 2*g. Let p = 3 + 1. Put g, 2, f, p in decreasing order.\nAnswer: p, 2, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, r: 4, a: 7, q: 1}. Give prob of sequence urrq.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2*m**3\/3 + 2338*m**2 + 2733122*m - 442. What is a in r(a) = 0?\nAnswer: -1169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -31. Which is the fourth biggest value? (a) 1\/20 (b) -2 (c) -4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 913*v - 1853. Determine j(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1894709686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.4, 0.17, -238?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 100*d. Let i(k) = -17*k - 28. Let c(n) = 2*n + 4. Let b(q) = 14*c(q) + 2*i(q). Calculate r(b(l)).\nAnswer: -600*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546862.\nAnswer: 2, 127, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1439*q - 1439*q - 6*q**3 - q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**3 + 31*l**2 + 17*l + 58. What is a(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.376 times 1925?\nAnswer: 14198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 19 + -20 - (-3 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*i - 320*i - 7920 = -40*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 7. Let j be 3*-2*(-9)\/6. What is the units digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 120. Let u(y) = 5*y - 180. What is -8*t(g) + 5*u(g)?\nAnswer: g + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -y, 4 = 3*p + y. Which is smaller: -2\/35 or p?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s - 1. Let y(v) = v**2 - 2*v + 2. Let m(f) = -2*t(f) - y(f). Let i(h) be the third derivative of 35*h**4\/24 - 7*h**2. Calculate m(i(r)).\nAnswer: 1225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 - 64*c - 103. Let i be r(-11). Let h(b) = -2*b + 4. Let j be h(-4). Sort i, j, -5, -2.\nAnswer: -5, i, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38600000 to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/12 - (-1)\/4. Suppose -46*i + 28 = -50*i. Put h, 0, i in increasing order.\nAnswer: i, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -471*z + 9. What is the hundreds digit of k(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55.88859 * -0.1.\nAnswer: 5.588859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21206, 42408, 63610, 84812, 106014, 127216?\nAnswer: 148418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.11 - -42.11. Sort p, 1\/9, -2\/99, -0.2.\nAnswer: p, -0.2, -2\/99, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + l)*(0*l**2 + 2*l**2 + 0*l**2)*(-4*l + 5*l - 2*l).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/7 + 8*i**3\/7 - 6*i**2\/7 - 36*i\/7 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 - 11*n + 19. Let z(d) = -2*d**3 + 5*d - 9. Give 6*y(l) + 13*z(l).\nAnswer: 4*l**3 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Suppose 0 = -d*o + y + 4*y + 9, -15 = -5*o + 5*y. Let v be o - (1 - 0) - -11. Solve -4*z = -2*i - i - v, -i = z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*z**2 - 11*z + 11*z**2 + 2 + 19*z - 9*z as u*z**2 + v + w*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*w - 3 + 4 - 1.\nAnswer: -345*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 0.1 (c) 5 (d) 4 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, -150, 5, -0.5?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -918 - -913. Put n, 2\/5, -1 in decreasing order.\nAnswer: 2\/5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 35*z**2 + 174*z + 40. Let j be l(29). Solve 5*m + 50*p = 55*p - j, -2*m + 4*p - 22 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 42062*b**3 - b**2 + 4*b - 6. Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117393 - 60?\nAnswer: 117333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.3 and 835.\nAnswer: -10270.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -196*w**5\/9 + 1190*w**4\/9 + 1328*w**3\/9 - 346*w**2\/9 - 232*w\/9 + 56\/9 = 0.\nAnswer: -1, -1\/2, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert baa (base 16) to base 2.\nAnswer: 101110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*96\/(-9). What is k rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 68 = -c. Calculate the remainder when c is divided by (-9)\/(-2)*(-8)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44683 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 2420 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:47 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2*z)**(-1\/2)\/((z\/((z\/z**21)\/z))\/(z\/(z**(3\/2)\/z))) assuming z is positive.\nAnswer: z**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473144673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 - 3*o**3 + 41*o**2 - 28*o**2 - 5*o**4 - 61 - 14*o**2 + 12*o in the form h*o**2 + l*o + a*o**3 + c*o**4 + y and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11 = 9*z. Differentiate z - 2*p + 16 + 61*p**2 - 61*p**2 - 8*p**3 with respect to p.\nAnswer: -24*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 1276 + 9204. Which is greater: f or 1050?\nAnswer: 1050","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbltkbekttbtabbbek. What is prob of picking 1 b and 1 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91.56 + 88.56. Which is the biggest value? (a) t (b) 0.4 (c) 108 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1125 = n, 0 = 3*l + 3*n - 2*n + 835. Let b = -412 - l. Let r = b - -208. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/6)\/(2\/3). Suppose -v*u + 13 = -8*u. Let r(h) = -10*h - 22. Let o be r(u). What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10278096 and 22483335.\nAnswer: 359733360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1351 = -3*t - 22. Let i be 1\/(-4) - t\/4. Let f = -22 - i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 90 + 0*j - 2\/3*j**3 + 0*j**2. Let l(m) = 40*m**2. Calculate l(d(c)).\nAnswer: 160*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 14. Let q = -7 - -9. Suppose -q*v = -3*v + 6. What is the lowest common multiple of v and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -102650*d**2 - 1 + 102706*d**2 + 9 in the form h + g*d**2 + s*d and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(1\/23)*v*v*v**(-18))**(1\/52) assuming v is positive.\nAnswer: v**(-323\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*r + 14 = -7*r, -r - 20 = -2*p. Let d = -2 + 0. What are the prime factors of p - (d - 0)\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1124*a + 24035 + 20445 - 4486 + 21826 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52828556?\nAnswer: 2, 11, 233, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4 (base 12) to base 10.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 559*b**2\/4 + 14570*b - 1465525.\nAnswer: (b - 61)*(b + 310)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 25*v - 98. Determine u(28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/450 and -88\/45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13109\/120 + -1312087\/4440. Let n = 405 + h. Let r = -321\/407 + n. Is r smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 12 = -16*c. Sort -3, c, -5 in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 265 = 271. Let a(w) be the third derivative of 2\/3*w**3 + 0*w**5 + 0*w**4 + 1\/24*w**c + 0*w + 0 - 5*w**2. Differentiate a(s) wrt s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.035 - 3.165. Let z = w - -0.13. Let h = -8.3 + 8. Which is the smallest value? (a) -0.4 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = y - 0*y, -2*z - 8 = -2*y. Let t be 1 + 39 + (-2 - (z - 0)). Suppose -t - 23 = -2*q. Calculate the highest common factor of q and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Solve 3 = 2*g + t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 4*v - 16. Let k be i(7). Suppose -2*t + 56 = 4*j, -2*t = k*j - t - 76. Suppose -4 = 6*f - j. Solve 0*u - 2*o = 3*u + 13, 2*u = 2*o - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200013233 (base 4) in base 10?\nAnswer: 1966575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*(-4)\/(-6))\/(48\/(-648)). Let k be (i + 5)*3\/6. Let b = 51 - 54. Put -13, 2, k, b in increasing order.\nAnswer: -13, b, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1. Let d(m) be the third derivative of m**4\/24 + m**3\/3 + 3*m**2. Let j(n) = 6*d(n) - 13*o(n). Calculate j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180 + 179. Let i = 1.31 + 5.69. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 139451, 278909, 418393, 557915, 697487?\n\"Answer: 2*v**3 + v**2 + 139441*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4\/3*v**2 - 16\/3 + 16\/3*v - 4\/3*v**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttktttttltttttt. What is prob of sequence ktlt?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(3 - 15\/3). Let f(w) = -6*w - 1. Let c be f(-1). What is the closest to -0.3 in x, c, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(153)*-1 + -2*sqrt(153)*-6)*-6.\nAnswer: -594*sqrt(17) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(3\/8) assuming t is positive.\nAnswer: t**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 27*d - 22. Let b(a) = -1 - 87*a + 86*a + 2. Let l(i) = b(i) - j(i). Find the first derivative of l(g) wrt g.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/24 and (2 + 94\/(-48))\/(75\/495)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6)*(105\/16)\/7. Are -1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 116, -1, -48 in decreasing order.\nAnswer: 116, 0, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 7. Calculate t(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 37*j - 53. Let p(q) = -48*q - 1412. Let b be p(-29). Calculate a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 2212, 7416, 17550, 34258, 59184?\nAnswer: 93972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7329565 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Let c(z) = -3*z + 3. Let g be c(-2). Solve -6*m = -p*m - g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m - 28. Let d be w(-3). Let b be ((-15)\/d)\/(6\/(-4)). Suppose -9009 = b*o + 1941. What is o rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 44. Let i be q(0). Calculate the greatest common factor of 88 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + -3 + (sqrt(500)*-1)**2.\nAnswer: sqrt(5) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -58. Let f be 3 + 296\/(-80) - (-3)\/v. Which is the closest to 2\/13? (a) f (b) -1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1413, 1441, 1473, 1509, 1549, 1593, 1641?\n\"Answer: 2*z**2 + 22*z + 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*4\/16*4*44. Suppose 2*r = -3*q + 165, -2*r - r - n = -q. Let k = 53 - q. Solve 5*w - w = k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/3 - 7778*l**4\/3 - 72070*l**3 + 23330*l**2\/3 + 633092*l\/3 - 144144 = 0. What is l?\nAnswer: -3861, -28, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2\/81, -4\/9 in decreasing order.\nAnswer: 0.05, 2\/81, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 54 = 3*c. Let r(i) be the first derivative of i**4\/4 - 19*i**3\/3 + 11*i**2 + 12*i - 141. What is the remainder when r(c) is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: How many minutes are there between 9:27 AM and 8:22 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 - h + 2*h**3 + 3 + 2*h**2 - 1 - h**4 - h**2 as l*h + j*h**3 + c*h**2 + m*h**4 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/416 + (-9)\/8. Put 0.1, -0.33, f, 6 in descending order.\nAnswer: 6, 0.1, -0.33, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111.4 - -113.374. Let x = -0.026 - m. Put x, -1.1, -0.4 in decreasing order.\nAnswer: -0.4, -1.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88957.87 tonnes in kilograms?\nAnswer: 88957870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2\/(-4) - (-303 - -1). Suppose 0 = -t*h + 305*h - 8. Solve 0*q = 5*o + 4*q - 21, -o = q - h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 77*v**2 + 135*v + 3743. Give z(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*v + 37, -u - 3*u - 2*v = -22. Suppose -3*x - 20 = -5*t, 19*t + 2*x = 15*t + 16. Solve 2*n = t*i - 14, u*i + 11 = 3*n + 26 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2819203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + v**4 - 2*v**4 + (-2 - 1 - 2)*(3*v + 2*v**4 - 3*v).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27492 is divided by 723.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (0 - 9 - -9 - -18) + 2\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*i*t**2*v**2 + 2*f*i*v - 76*f*t**3 - 2*f*t**2*v**2 - 3*f*t**2*v - 15*i*t**3*v**3 - 30*i*t**2*v**3 wrt t.\nAnswer: -456*f - 90*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 2*k - 1. Let n be h(-1). Let v be (-1 - n) + (1 - -22). Let i = v - 11. Solve -3*j + 3 = -m, 6*m + i = 2*m + 2*j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(220\/(-8)))\/(3\/1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 2*s - 4. Let n(z) = 3*z**2 + 7*z - 12. Let w(j) = 3*n(j) - 8*q(j). Calculate the least common multiple of 16 and w(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32622031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 18*r**2 - 84*r - 110. What is g(17)?\nAnswer: -1249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1556364089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -536*w**3 - 14*w**2 - 24*w. Let h(n) = 107*n**3 + 3*n**2 + 5*n. Determine -14*h(l) - 3*v(l).\nAnswer: 110*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*s, -5*a + a + 2 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3638 and -75.7.\nAnswer: -275396.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j*j**(-1\/22))))\/j)\/j*j**(2\/15))**(1\/18) assuming j is positive.\nAnswer: j**(-301\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = -80. Let f = -1 - -19. What is the lowest common multiple of n and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 468*p**2 - 17 + 374*p**2 + 287*p - 841*p**2 in the form m + l*p**2 + x*p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1 (c) 1\/2 (d) 11352 (e) -3\/5 (f) 0 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11303?\nAnswer: 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 693 - 9811\/14. Calculate the common denominator of w and 17\/1030.\nAnswer: 7210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h - 47. Determine n(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -469 - -610. Calculate the remainder when y is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 59*c - 119. Is a(13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s. Let d = 12 - 9. Let w(m) = 4*m**2 + 3*m - 3. Let p(h) = -h**2 - h + 1. Let l(t) = d*p(t) + w(t). What is a(l(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/39)*(a**(-30)*a)\/a)\/(a**(-1\/12)\/(a\/(a\/((a\/(a\/a**(-2\/41)))\/a*a)*a))))**(-13\/7) assuming a is positive.\nAnswer: a**(65909\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 896525 + 317280 = 57*u + 237395. Calculate the greatest common factor of 60 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 1514082704.\nAnswer: 1514082703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 + -187. Which is the smallest value? (a) 0.3 (b) 0.4 (c) l (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22374 by -2486.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 10. Calculate the smallest common multiple of 6 and -2 + -1 + m - -11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 1. Let n(g) = -4*g**2 + 10*g + 3. Let c(a) = n(a) + 5*s(a). Let r(y) = y**2 - y. Let j = 2 + -3. Determine j*c(q) - 5*r(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5613113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-14))\/((3 - 10)\/98). Let r be ((-4)\/56*-8)\/(b\/(-14)). Sort 1, r, 5, -3 in ascending order.\nAnswer: -3, r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2856471, 5712910, 8569349?\n\"Answer: 2856439*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11582 (base 12) to base 11\nAnswer: -16546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y + 49*y + 40 = 0. Solve -y = -2*j - 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + (7460 - -4 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166164905 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/166866 and 37\/464.\nAnswer: 1334928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 312. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-96596*(-14)\/(-270473) - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 560*j**2*x**3 + 2*j**2*x**2 - 2*j**2 - 30*x**2 wrt x?\nAnswer: 3360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18*i + 29. Let s = 15094 - 15087. Give c(s).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*r**3 + 1\/3 + 2\/3*r**2 - r**4 + r - 1\/3*r**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7404, 7403, 7402, 7401?\n\"Answer: -c + 7405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48359 is divided by 985?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3285 (b) -9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 6, -5 in decreasing order.\nAnswer: 17, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -536 + 881. Let h be (-721)\/(-2) + (-2)\/(-4). Suppose -5*z + 0*z - 5*k = -u, 5*z - 3*k - h = 0. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47.3 and -377.63.\nAnswer: -17861.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + k + 0*k)*(-3 + 3 - 1) + (k - 3*k + 4*k)*(-3 + 0 + 4) + 4*k - 2*k - k + 2 - 2*k - 2 - 3 + 2*k + 3)*(-2 + 2 + 6).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*n, 2*j + 5 + 1 = 4*n. Suppose 4*f = -2*k + 6*k + 1808, -k - 452 = j*f. Let o = k + 5152. Round o to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (314520\/(-73388))\/((2\/15)\/(14\/10)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**4\/12 - u**3\/6 + 3*u**2\/2 + u - 3. Let x(i) be the first derivative of d(i). What is the units digit of x(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*o + 102*o - 181*o + 1900 for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b**3 + 0*b + 0*b + 48*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 5, n: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-22))\/(((-2850)\/38)\/1650).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-6 + (-5 - -13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**3 - 146*s**2 - 1965.\nAnswer: 9*s**2 - 292*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**(-13)\/z))\/z)\/((z**5\/z)\/z) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:23 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -34\/3. Let v = -2.8 + 7.8. What is the smallest value in v, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from yznyyyyyy.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*s + 53785 = 67697 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 - 3)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1161 (base 7) to base 12\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 - -88. Let l = x + 705\/7. Suppose 4*t = c + 1, 13 = 4*c - 5*t + 6*t. What is the nearest to l in c, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + w + 7, 43*z + 3*w + 25 = 48*z. Find g such that -2\/3*g**3 + 0 + z*g**2 - 4\/3*g = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiitttittyiiiiiii.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 at most 0.189508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10*p + 5*p - 6885 = 0, -2*h - 3*p = -2769. What is the greatest common factor of 92 and h?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(10\/13)\/((r*((r\/(r**(1\/8)\/r))\/r*r)\/r)\/(r\/(r**(2\/7)*r))))**47 assuming r is positive.\nAnswer: r**(-87091\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -243089*y**2 + 121707*y**2 - 8*y + 121742*y**2 in the form a + d*y + l*y**2 and give l.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35115? (a) 2 (b) -64 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 + 1aa1?\nAnswer: 1a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/90*(-26 + 1). Suppose 105*i - 103*i - r = 0. Suppose 7*p + 1 = i. Which is bigger: 11 or p?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/1412, -53.79, 0.3 in descending order.\nAnswer: 0.3, -25\/1412, -53.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21132918 by -3.\nAnswer: -7044306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1521299 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73264495 divided by 3.\nAnswer: 73264495\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299802 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 29 = 16. Let a = -856 - -862. Find the common denominator of ((-236)\/a)\/(s + -11) and -1\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16842?\nAnswer: 2, 3, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**6\/24 + r**5\/15 + r**2 + 5. Let q(x) be the second derivative of b(x). What is the third derivative of q(t) wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2. Let w(u) = 6*u + 0*u - 2*u + u. Give a(w(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + -4 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 280\/(-20) - -4*2\/4*-1. Which is the closest to -1? (a) -1 (b) -0.6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -39*s**2 + 2. Let p(l) be the first derivative of -4*l**3\/3 + 821. Calculate n(p(q)).\nAnswer: -624*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.775437mg?\nAnswer: 9775.437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2307, 9255, 20835, 37047, 57891?\nAnswer: 83367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from bsm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (35\/28)\/(1*(-2)\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 81 - 81)*(-7*a - 3*a + 2*a).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*i - 164 - 1084. Suppose -38 = 5*q - i*q. Factor -9\/4*u - 3 - 3\/8*u**q.\nAnswer: -3*(u + 2)*(u + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0*n - 1 + 2*n + 3*n - 6*n. Let w(x) = -5*x - 1. Let j(u) = 109*u + 982. Let i be j(-9). Give i*w(m) - 4*o(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - a**4 + a**4 + (-4*a**2 + 4*a**2 + a**2)*(3*a**2 - 9*a**2 + 16*a**2) in the form i*a**2 + p*a**3 + l*a + v + b*a**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 2*b**2 + 3. Let v(g) = g - 26 + 36 + 4*g**3 + g**2 - 8*g**2. Calculate -7*o(c) + 2*v(c).\nAnswer: c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -2. Let r = y - -17. Suppose 4*l - 2*l = r. What is the greatest common factor of 25 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3589 + -3586. Solve -14 + 6 = -s + 3*u, 3*s + x*u + 24 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + sqrt(396))*-3 - (-1*(0 + sqrt(396)) - (sqrt(396) - (-2 + (sqrt(396) + -1 - sqrt(396))))))**2.\nAnswer: -168*sqrt(11) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*z = -20, 5*i + 20 = 2*i - 4*z. Solve 2 + i = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11257*g**6*k + 4*g**3*k**3 - 28*g**2*k**3 + 3*g**2*k**2 + 2*g**2*k - 10 wrt g?\nAnswer: 1350840*g**3*k + 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:04 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*l - 300344732 - 2678446339 = 2354848929. Round l to the nearest 100000.\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + p - 5*p + 10*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*k**4*r - 7*g*k**3 + 4*g*k**2*r**2 + g*r**2 + k**3*r**2 - 8*k**2*r**2 wrt k.\nAnswer: -24*g*k*r - 42*g + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10849, -10850, -10851?\n\"Answer: -u - 10848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(2\/13))*s)\/(((s**(5\/6)\/s)\/s)\/s))**(-40) assuming s is positive.\nAnswer: s**(-6260\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 50705\nAnswer: -50708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 1. Suppose 4*s + 43 - 127 = -4*b, -5*b = -s - 81. Let j = b - 15. Suppose 4*f - 16 = -m, j*m = f + 3 + 2. Determine n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -638 in -13, -2\/17, -47.5, -2\/5?\nAnswer: -47.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34697, -34830, -34963, -35096, -35229, -35362?\n\"Answer: -133*p - 34564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*5)\/(75\/30). Suppose y*v - 5*s + 14 = 0, 2*s = -4*v + 31 - 11. Solve -6 = v*w + u, -3*u + 5 = 4*w + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 70, -0.5 in decreasing order.\nAnswer: 70, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 9384*x**2 - 169884*x + 765936.\nAnswer: 4*(x - 9)**2*(x + 2364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(160) + sqrt(10) - sqrt(10))\/((sqrt(2) + (sqrt(2) - sqrt(2)*1) + sqrt(2))*3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16224 and 295074?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 7441.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 286 = 20*a. Let l be a\/60 + 41\/205. Let s = 3 + -3. What is the biggest value in l, 1\/3, -4, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 8 = 3*h, -h = 5*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68564.55 micrometers in millimeters?\nAnswer: 68.56455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - j**2 + 3*j - 2*j - 1 + 0. Let f be a(1). Let k(x) = x**2 - x + 264. Let i be k(f). What is the highest common divisor of 33 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2369 (b) -0.4 (c) -4\/403 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5097 divide 371341935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1672)\/(-2736))\/((-55)\/(-80))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-1 + -8 - -10) - (46 - 9)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*d + 792 = -77*d. Is d at least as big as 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 9, 0, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5*sqrt(2800)*-2 + sqrt(2800) + sqrt(2800))**2 + (sqrt(2800) + (sqrt(2800) - (3 + sqrt(2800) + -2 + sqrt(2800))))**2).\nAnswer: 2016005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -201.8?\nAnswer: -200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/808349 or 1?\nAnswer: 4\/808349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*p - 0*p. Which is bigger: p or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -338, -734, -1288?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5522229261 + 0\nAnswer: -5522229261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14231302 (base 6) in base 15?\nAnswer: -9916b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 18. Suppose 0 = 4*f - 6*f + d. Find the first derivative of -3 + 6*g**2 + f - g**2 wrt g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**3 - 44*b**3 - 46*b**3 + 167*b**3 + 51 - 44*b**3.\nAnswer: -5*b**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 14*y**2 - 89*y - 22. Calculate u(-5).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 + 33.35. Let w = 32 - f. Let u = -0.5 + -8.5. Which is the closest to 1? (a) w (b) -3\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 8 - 21*u**2 - 11*u**2 - 26*u + 2*u**2 + u**3 + 6*u**2. Let d be k(26). Solve -28 + d = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-3 + (-28)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 10:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13\/k**(-2\/23))\/(((k**(-1\/6)*k)\/k*k)\/(k**(6\/5)*k)) assuming k is positive.\nAnswer: k**(9973\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = -5*q - 173, 4*d + 2*q - 196 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6317*y**2 - 6312*y**2 + 12632*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 - 13*u + 2*u + 3*u + 8*u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/6347176 and 11\/1678592?\nAnswer: 203109632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 4*b - 3. Give y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252316, -504642, -756974, -1009312, -1261656, -1514006, -1766362?\nAnswer: -2018724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 + 56*r + 489. Calculate the remainder when y(-7) is divided by 55.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k + 0*k + 0*k + (-3 + 0 + 2)*(-2*k - k + 4*k) - 3*k + 3*k - 2*k - 1 - k + 1 + k - k + k + k - k + 2*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 12, 2*s - 4*y = -0*s + 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/(195\/(-25) + 0 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723065 is divided by 13905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + 5298668101?\nAnswer: 5298668100.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y = -55*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 32\/15 + 64\/5*c**3 + 212\/15*c + 6\/5*c**4 + 82\/3*c**2 = 0.\nAnswer: -8, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*r + 44, 4*t + 10*r - 7*r + 64 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*o*u*x**3 - 21*o*u*x**2 - o*u - 2*o*x**3 - o + 5*x**3 - 1 wrt x.\nAnswer: -534*o*u - 12*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -111*n + 1220. Let u be j(11). Put -4, u, -54, -2 in ascending order.\nAnswer: -54, -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -14. Let r be ((-78)\/6)\/(m\/2). Let y = 170 - 156. Solve u = -u - 3*n + r, -3*u + n + y = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 5, o: 3}. What is prob of picking 3 l and 1 j?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v - 4 - 5*v + 2. Suppose -34 = 4*l + 2*q, 5*l + 2*q + 28 + 16 = 0. Let d(f) = 3*f - 5. Give l*j(z) + 4*d(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49983\/28 or -1784?\nAnswer: -1784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 260 = -4*s. Suppose -a = -4*x + s, -3*x - 4*a + 41 = -2*x. Let z(g) = -2*g + 3. Calculate the remainder when x is divided by z(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14088)\/3522*1*(-2)\/(-124)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 10. Let p be k(3). Suppose 3*r - 3*r - 15 + 15*r**p - 4*r + 5*r**3 - r = 0. Calculate r.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -62. Let b = 4.73 + -0.73. Sort 15, b, z.\nAnswer: z, b, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 114 + 239 - 11939*p.\nAnswer: -11939*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 262\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 150. Let x(r) = -4*r**2. Determine x(y(u)).\nAnswer: -36*u**2 + 3600*u - 90000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**2*w**3 + 6*k**2*w**2 - k**2*w - 1291*k**2 - 3*k*w**3 + 7*w wrt w?\nAnswer: -24*k**2*w + 12*k**2 - 18*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47832580 to the nearest integer?\nAnswer: 6916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3318 (c) 0.01 (d) 2\/17 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*f + 5653 = -5899. Calculate the greatest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/11 + 3147*l**4\/11 + 104835*l**3\/11 + 30383*l**2 - 995514*l\/11 + 553320\/11 = 0?\nAnswer: -29, -6, 1, 3180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1481 + -2094. Let a = 618 + l. Sort 14, -4, a in decreasing order.\nAnswer: 14, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -414 + 420. Calculate the lowest common multiple of r and 93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - (-13 + -10 + 20)) - -20\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1147424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-24)*1017\/(-678).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6637771?\nAnswer: 7, 948253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53070 is divided by 344?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1942*w**2 - 21*w + 52. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -5 in descending order.\nAnswer: 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5505\/686 or -8?\nAnswer: -5505\/686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 58*j + 193*j + 298*j)*(3 - 5 + 13)*(-5*j + j + 2*j) - j**2 - 2*j**2 + 2*j**2 to the form u*j + w*j**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 18 = 6*m, 4*m - 37 = -25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 16.5864.\nAnswer: -5, -0.4, 16.5864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 26*q. Let g be h(2). Suppose -m - 11 - 19 = 0. Let n = g + m. Calculate the greatest common divisor of n and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 3 + (1 - -3 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1275, 22, 4 in decreasing order.\nAnswer: 1275, 22, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46ccb1 (base 14) to base 4.\nAnswer: 21032021023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 3*r - 6. Let u be i(-4). Let y be (u - 10)*(0 - -1). Let b = -5 - y. Solve d = 4*d - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from {y: 1, b: 1, h: 1, r: 2, i: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 73527583.52 to the nearest 100000.\nAnswer: 73500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 31 + 323. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172534380*m**4 + 2*m**2 + m + 120864739 wrt m?\nAnswer: -4140825120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 6*s - 4.\nAnswer: 2*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4370 = -17*v. List the prime factors of v.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) 2098.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68\/7 + 171\/14. Let s be ((-9)\/42)\/((-6)\/(-8)). What is the closest to s in c, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 42860400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -0.09, 12.\nAnswer: -0.4, -0.09, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12671811 divided by -1.\nAnswer: -12671811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-5)*(23 - 18). Suppose 4*v + c = -c + 8, -4*v + x = 3*c. What is the closest to -1 in 5, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -4*p, -2*p + 2*o + 14 = 5*o. What is the highest common factor of p and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 35*z**3 + 22*z**2 + 220*z - 11. Let n(v) = -12*v**3 - 8*v**2 - 73*v + 4. Give 11*n(q) + 4*p(q).\nAnswer: 8*q**3 + 77*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 72561546.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 8*l**2 + 6*l + 25. Let d be z(9). Let y(h) = 60*h**2 - 4*h - 4. What is the tens digit of y(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 4 - -4) + (-4 - (6 + -10))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31577175*f**2 - 15788485*f**2 - 15788691*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, and 2 n when four letters picked without replacement from {n: 3, t: 10, h: 4, k: 3}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22507\/6004 + 2\/1501. Let c = 139\/36 - i. What is the fourth biggest value in 3, c, -4\/3, 5\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g. Let d(j) = 196698693*j**2. What is q(d(f))?\nAnswer: 983493465*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26099*v**3*w**4 - 3*v**3 + 19*v*w - 9*w**4 - 43*w wrt w?\nAnswer: -313188*v**3*w**2 - 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoe. What is prob of picking 1 o and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five halves of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3726277 - -10236277. What is q rounded to the nearest one hundred thousand?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:15 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + y**2 - y**2 + 104*y - 4*y**3 - 104*y + (0*y + y + 0*y)*(-7*y**2 - y**2 + 5*y**2).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 22*g**2 + 18*g + 67. Let h be y(21). Suppose 5*w - 4*w - 4*c = -11, -2*w + c - 1 = 0. Put h, w, 0 in decreasing order.\nAnswer: h, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -4. Let f = 4 + c. Solve 5*l - 14 - 1 = f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5842 is divided by 638.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.336 - 47.246. Round m to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920 = a + 37*q - 39*q, 0 = -2*a - 4*q + 1840. Let b = a - 483. List the prime factors of b.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/10*(-45)\/18. Suppose 0 = -4*q - r + 15, -s*r = 3*r + 5. Let m = 7 - 3. Is q smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17085 >= -20.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/15813 and -13\/84.\nAnswer: 63252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6394 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - ((-3)\/1 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -17 + (30 - 25) + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g - 2. Let h(u) = u + 6. Let a(b) = -b**3 - 7*b**2 + b + 4. Let l be a(-7). Let i be h(l). Let p be i + 0*3\/12. Determine r(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044856772 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*l**3 + 8*l**2 + 10*l**2 - 18*l**2.\nAnswer: 670*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**3\/6 - 7*p - 61. Let n(x) be the first derivative of g(x). Calculate n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -191?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1459, -2895, -4371, -5887, -7443, -9039?\nAnswer: -10675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38577 + -38582. Put 3, d, -17, 34, 0.4 in descending order.\nAnswer: 34, 3, 0.4, d, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (2 + -2 + -2 - (284 + -286))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9265, -9270, -9279, -9292, -9309, -9330?\n\"Answer: -2*s**2 + s - 9264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45421353 + -22?\nAnswer: 45421331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15021, 22, -0.4?\nAnswer: 15021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = q + 16, -3*a = -2*q - 4 - 45. Let d = -42 + a. Let v = 28 + d. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(3))**2 + (sqrt(9)\/sqrt(3) + sqrt(3))*5.\nAnswer: 6*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u + 86. Let n be y(-12). Solve 8*p + 12 = 12*p + 3*h, 3*p = n*h - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2579 (b) -0.5 (c) -7 (d) -2\/23 (e) -5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2)*-2 + -1 - sqrt(2))**2 + -5*sqrt(32).\nAnswer: -16*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4353337*0.3\nAnswer: 0.13060011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/81383232 and -7\/418542336.\nAnswer: 2929796352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*j - 9 = -0*y, 3*j - 9 = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let a(x) = -9*x**2. Give a(b(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*w - 2068 + 88 = 0 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69, -36, -13, -6, -21, -64?\n\"Answer: -x**3 + x**2 + 37*x - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-36)*(-4743)\/(-68).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 - 254. Let l(x) = x + 11*x + 2*x**2 + 13 - 3*x**2. Let h be l(t). Round h to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/3))**21\/(u\/(u\/u**2)*u*u**(-1\/2)))\/((u**6*u)\/(u*u**7))**(-1\/43) assuming u is positive.\nAnswer: u**(2793\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54510331 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2358*u - 101. Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-10)*45\/3. Let s be (0 + 8 - (118 - 111))\/((-1)\/5). Sort s, -2, x, 1 in decreasing order.\nAnswer: x, 1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-22)\/24 - -1). Let a = z + 36. Find the common denominator of (-4)\/(46\/a + -2) and -39\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94188 is divided by 380?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 706051 (base 9) in base 6?\nAnswer: 12542031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -733\/77?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l**2 - 133*l - 5*l**6 - 30334*l**4 + 30310*l**4 + l**5 - 12*l**6 wrt l?\nAnswer: -2040*l**3 + 60*l**2 - 576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -49, -3, -2, 0 in decreasing order.\nAnswer: 0, -2, -3, -10, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4, -120 in ascending order.\nAnswer: -120, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 1348*b**2 + 262178*b - 11309880.\nAnswer: 2*(b - 307)**2*(b - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -438*o + 5. Let x(c) = -c - 1. Let s(y) = -l(y) - 6*x(y). Is s(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r - 6. Suppose u - 806 = 3*g - 8*g, 2*g = 4*u + 340. Let h = 168 - g. Let z(j) = 8*j + 7. Calculate h*z(d) + 7*i(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8226707.2 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -625\/3 (b) 2\/23 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*h + 9 = -0, 5*h = -3*p + 31. Suppose -3*t + 29 + 19 = 0. Solve 23 = 5*u - 2*m, u + p*u - t = -m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 687*o**2 - 6*o + 4. Let g(l) = 2056*l**2 - 17*l + 11. What is 4*g(y) - 11*w(y)?\nAnswer: 667*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:36 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3448, -28370, -96362, -228958, -447692, -774098, -1229710?\n\"Answer: -3589*o**3 - o**2 + 204*o - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 626 or 625?\nAnswer: 626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 2. Let h(y) = -13*y - 9. Let x(p) = -2*h(p) - 9*z(p). Let g(q) be the second derivative of 0 + 1\/3*q**3 - 4*q + 0*q**2. Give g(x(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.50841 centuries to millennia.\nAnswer: 3.450841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2494248*z**4 + 1259*z**2 + 206 wrt z?\nAnswer: 59861952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 2*j**2 - 5*j + 6. Let f be z(4). Suppose -26 + 0 = -3*x - 4*i, 4*i = x + f. Suppose 0 = x*l - 0*l - 318. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -0.2, -0.3, -2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*o - 317*o - 2*o**2 - 319*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8467\/18 + -470. Let g = 55\/54 - 499\/216. Find the common denominator of b and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-2) + 5\/(-2). What is the closest to -0.02 in 2, j, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 3\/10*f**3 - 3\/50*f**5 - 24*f + 1\/20*f**4 + 0 + 0*f**2. Factor d(o).\nAnswer: -3*o*(o + 1)*(2*o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 9. Is ((-5)\/m)\/((-2)\/(-8)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 439*s + 3466. Determine f(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n + 208 = 593 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, v: 6, q: 2, m: 1}. Give prob of picking 1 q and 2 v.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -3\/520, 2\/25, -2\/9, -2\/7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(637) + -1)*2 - (4 + 2 + (sqrt(637) - 1*sqrt(637))))**2.\nAnswer: 224*sqrt(13) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o)**(-4)*o**(-5)*o**(2\/19)*(o**11\/(o**(1\/6)\/o*o))**(-2\/29) assuming o is positive.\nAnswer: o**(-29162\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154 * -0.02.\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/20 + 29*l**4\/12 - 14*l**3\/3 + 53*l**2\/2 + 6*l + 84. What is p(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctcc when four letters picked without replacement from {t: 5, c: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 3 + (-6 - -102). Let t = z + -29. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose -4*q + 67 = -3*r, 2 + 1 = -a*r. Suppose k - 1 = q. What is the highest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-780)\/(-1200)*32\/(-44)*5\/(-1). Factor 6\/11 - d*u + 8\/11*u**2.\nAnswer: 2*(u - 3)*(4*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.445 + -0.091. What is k rounded to two decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - n = -4080, 2*j + 4*n - 2634 = -594. What is j rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 36. Let o be 3 + (h - (-2 + 5)). Suppose o*k = 5*x + 25, -5*k + 52 - 18 = -3*x. Solve -2*w - 6 = w - k*p, -4*w - 8 = p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1674 - 1404 = 45*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -254032?\nAnswer: -254036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 360208*a**2 + 360204*a.\nAnswer: 4*a*(a + 1)*(a + 90051)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006471 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 + -4 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**7\/1050 + 2*d**6\/225 + d**5\/50 + d**3\/6 - 7*d. Let m(k) be the second derivative of q(k). Factor m(w).\nAnswer: 4*w*(w + 1)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let a be -1 + ((-124)\/(-8) - -4). Let w = -19 + a. Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51669 = -29*r - 11649. What is the remainder when r is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 590 + -254. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2416 - -0.82?\nAnswer: -2415.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*i - 133, 5*p = -5*i + 272 + 268. Suppose -107*a - 2202 = -p*a. What are the prime factors of a?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-49) + (-58)\/(-7). Suppose 2*z - 3*m + 0 = -4, -m - 44 = 5*z. Let v = c + z. Solve 5*y + o - 10 - 4 = v, 4*y - 2*o = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/17*(-24)\/48\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17354, -138970, -469112, -1112042, -2172022?\n\"Answer: -17377*m**3 - m**2 + 26*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4 + 6)*(2*f - 1 + 1).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + y = -32 - 9, -71 = -5*z + y. Let j = 39 - 49. Let o = j + z. Solve o = 2*g + s, -2 - 14 = -5*g + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22 + 4*s**2 + 118*s**3 - 30 + 44 + 70*s**3 - 33*s**3 wrt s.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126417380 not equal to -126417377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 69*d + 98 = 0. Solve 0*z - 5*z - d*o = -10, -4*z + 6 = 2*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773404*b - 773395*b = -216 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -20 + 24 + (-1 - 3). Solve 0 = -i*j + j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -7 + -111 - (-158 + 153)) + -8\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*5 + sqrt(171))\/sqrt(9) + sqrt(171) + 4 + (sqrt(304)*2 + 1 - ((sqrt(304) + (2*sqrt(304) - sqrt(304) - sqrt(304)) + sqrt(304))*-1)**2).\nAnswer: -1211 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -2617, 3, -0.4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/2))\/v)**(-1\/11)\/(v**(-15\/7)\/(v\/(v*v**(2\/23)))))**(3\/10) assuming v is positive.\nAnswer: v**(21363\/35420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 1438029 = 80*i - 19*i. What are the prime factors of i?\nAnswer: 3, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 6*h + 8554 = 0. Let u = -459 + h. List the prime factors of u.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -242387487.3 to the nearest 10000.\nAnswer: -242390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-12))\/((-1)\/(-2)). Suppose -4*b + 14 = a + 5, -c*b - a = -12. Solve 3*t + 4*o = -31, -2*o = 5 + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07894 + -258?\nAnswer: -257.92106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 36 - 4. Suppose -24 = 2*b + b. Let c = 14 + b. What is the remainder when n is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e2a3 (base 15) in base 8?\nAnswer: 443157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**4 + 3*n**2. Let h = -5 - -7. Let c(v) = 11*v**4 - 6*v**2. Let x(z) = h*c(z) + 5*q(z). Solve x(r) = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(48) + -1*(0 + sqrt(48)) - (-2 + sqrt(48)*2))**2 + -4)*-6.\nAnswer: -1153 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 1887 + 7543 = 0. Suppose 8*x - 3*v + 2388 = 11*x, -3*v - j = -x. List the prime factors of x.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132 - 1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 729\/972 - (1 - 3*(-1)\/(-15))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) - ((sqrt(320)*2 - sqrt(320)) + 3)) + -5)**2 - (-4 + sqrt(50)\/(sqrt(40)\/sqrt(4)) + -2)**2)*2.\nAnswer: 46 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + o - 2. What is q(-5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*((-3 + 6 - 1)*(-2*j + 5*j - j) - j - j + 3*j)*(439*j**2 + 212*j**2 - 2*j + 2*j).\nAnswer: 9765*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:28 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) -1\/10 (c) -40 (d) 152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = f, -5*f - 3 = -2*c + 10. List the prime factors of 9\/c*(-24)\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from zoooozocoocoozo?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1447138 * -5\nAnswer: -7235690","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -1d (base 15) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/5, 2, -1\/2, 2\/9, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q**2\/6 + 1115*q\/6 - 7400 = 0. Calculate q.\nAnswer: 555\/7, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 19. Let x(n) = -2*n + 9. Let l(j) = 6*h(j) + 13*x(j). Suppose 0 = -11*r + 124*r. Let v be l(r). Solve 0 = -5*w + 2*w - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*n - 303 + 80, v - 219 = -5*n. Let m = n + -25. Let b = m - 13. Solve b*k = 5*r - 0*k + 10, 15 = -5*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47355*d**3 - 51780 wrt d?\nAnswer: 142065*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-5\/3))\/l*l)\/(l\/(l*l**(1\/4)*l)))\/(l\/l**0)**10 assuming l is positive.\nAnswer: l**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - 232\/12. Let g = d + 7. Let z be g\/(-78) - 0\/(-2). Which is the third smallest value? (a) 1\/3 (b) z (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*r**(-1\/2)*(r\/(r\/r**5))\/(r\/r**(3\/4))*r**7*r**(-3\/2)*r*(r*r**(1\/2))\/r*(r\/(r*r**(1\/3)))\/r assuming r is positive.\nAnswer: r**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*-2 - sqrt(68)) + 3 - sqrt(68) - (-4 + 2*sqrt(68) + sqrt(68) - sqrt(68))) + 1*(sqrt(68) + 1)*3)**2.\nAnswer: -120*sqrt(17) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32052 is divided by 641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -26*n - 2. Let t(u) = -51*u - 5. Calculate 5*d(q) - 2*t(q).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -2\/9 (c) -20\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 18*w**2 + 8*w - 45. What is a(-17)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(2)*5)\/(sqrt(4)\/(sqrt(2) + sqrt(8) + sqrt(2))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/540 + b**5\/135 - b**4\/108 - 2*b**2. Suppose o(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.92 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(76)\/sqrt(64) + 1.\nAnswer: 1 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134351*d**3*t + 143*d**3 - 2*d**2*t + 5*d**2 + d*t + 11*d - 4400*t + 2 wrt d.\nAnswer: 806106*t + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11034 + -10?\nAnswer: 11024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-18)\/(-162)*2\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:39 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 185*r**3 - 615*r**2 + 21965*r - 21160.\nAnswer: -5*(r - 8)*(r - 1)*(r + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6018 divided by 3.\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 4 (c) -5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*s - 4*q, -2*s - 5*q = 3*s + 45. Let d = -5 - s. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 - 8843891*q\/5 - 8843886.\nAnswer: -(q + 5)*(q + 8843886)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-7 - -18 - 32)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-8\/3)\/m*m)\/m))\/m*m\/m**(-2)*(m*(m*m\/(m*m*m**(-8\/5))*m)\/m)\/(m*m**(-1\/2)*m) assuming m is positive.\nAnswer: m**(233\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and -1 - -163 - (-48)\/136*-17?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(468) + -1)*-6*3 + -5 + -3 + sqrt(468) + -1))**2.\nAnswer: -16524*sqrt(13) + 1217997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 2. Let m be v(7). Let q be ((-981)\/m)\/((-6)\/16). Suppose 4*a - q = 138. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 - 1)*(6*t - 8 + 8) - 2*t - 3*t - 6*t to the form k*t + m and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 9. Let g be h(3). Suppose -2*m + 3*m - 4 = -4*z, 3*m = -3*z + g. Differentiate z - 4 + 6*v - 8 with respect to v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + sqrt(175)*-2)*-3)**2.\nAnswer: -8100*sqrt(7) + 58725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24*x - 6. Suppose -3 = 4*o + 5*u - 5, 0 = 2*u - 4. Let v be f(o). Let b = v + 90. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - h + 2512 = 0, -4*j = -2*h - 1900 - 612. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + y)*(-3 + 0 + 2) + (y - 4*y + y)*(0 + 1 - 2).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**24)*x**30 assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-48 + 41 - (-2 - 0)) + (12 - -4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76937.\nAnswer: 7, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/2010 and ((-755)\/(-150) - 5)\/((-14)\/(-2345)).\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 291042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51634*h**3*j**2 - 14*h**3 - 5*h**2*j - 2*h**2 + 58*j wrt j?\nAnswer: -103268*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 125 and 301558.\nAnswer: 37694750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/9, 5\/7, -3 in decreasing order.\nAnswer: 17, 5\/7, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.69 and -127.2419.\nAnswer: -103.5519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*3792214.\nAnswer: -379221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 4*q + 5*q)*(-1664 - 67*q + 1664)*(2*q - 2*q - 2*q).\nAnswer: -134*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 = -45*x - 10*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 9. Let p be (2\/2)\/(x - -6). Let l be (44001*p)\/(-1) - -1. Round l to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -54. Solve m = -5*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -39326.\nAnswer: -5\/19663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1393 - -4877. What are the prime factors of u?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3450 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*q + 44*q - 2 - 2 wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6656*i - 6607*i - 12740 = 0. What is the remainder when i is divided by 0 + (2 - 0 - -22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(-2*sqrt(4)*-2))\/(sqrt(225)*4*-3)*3)**2.\nAnswer: 1\/1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2305530 divided by -270.\nAnswer: -8539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 39*i + 6. Let z(r) = 9*r**2 - 79*r + 11. Let m(h) = -5*q(h) + 2*z(h). Let x be m(18). What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/2 (b) 7\/7416 (c) 0.2 (d) -0.2 (e) 2 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20158 + 493 = -4*f + 5*d, 0 = -3*f + 2*d + 14747. Let a = f - 235909\/48. What is the common denominator of a and -57\/2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31095)\/4837)\/(3\/28)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3596\/(-145))\/((-1)\/5). Suppose -2*a + 45 + 203 = 0. Is a not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (2 - 15 - (1 + (-19 - (4 - 10))))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i - 3. Let g(a) = 11*a**3 + 2*a**2 + 3*a - 2. Let r be g(1). Suppose 11*p + 30 = r*p. What is the least common multiple of s(-2) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 248858 or 248862?\nAnswer: 248862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4020 + -30?\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12215*o = -12225*o + 692530. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.07 times 6.201?\nAnswer: 1643.69907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13628503 is divided by 65838?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59013?\nAnswer: 3, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 40472\/73685 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 1158*t**2 - 110580*t + 225816.\nAnswer: -3*(t - 2)*(t + 194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glo when three letters picked without replacement from {p: 2, g: 1, l: 1, o: 1, k: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43994440?\nAnswer: 2, 5, 7, 71, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - ((-19038)\/4 + (-7)\/14). Suppose -i = 5*i - u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -9*c**5\/20 - 2*c**2 - 8*c - 6. Let l(b) be the first derivative of u(b). What is the derivative of l(f) wrt f?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 bigger than -104\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let t(c) = -7*c**2 - 21*c - 21. Let s(l) = l**2 + l + 1. Let b(z) = -21*s(z) - t(z). Calculate b(q(v)).\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 209561872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125.6 - -126. What is the closest to -0.1 in -2\/9, z, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3250*t**4 - 380*t + 10 wrt t?\nAnswer: 39000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 5*s + 4. Let j be k(-5). Let y(m) = m**2 - 25*m + 71. Let w be y(3). Sort j, -4, w, 6 in decreasing order.\nAnswer: 6, w, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*y - 24 = 0, -6*y + 4*y - 26 = -5*d. Suppose -2 + d = 2*l. Are l and 8\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19395\/43 and -451 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5213*n + 9. Let l be t(-7). Round l to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30335 (base 9) to base 2\nAnswer: -100110111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -1, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkktttkkttkkk. What is prob of picking 1 k and 1 t?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 4*j + p - 135 + 69, -5*j - p = 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * -7.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4 + 43. Suppose h = y - 9 - 4, 3*y = h + s. Calculate the greatest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420368?\nAnswer: 2, 13, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3752113056.\nAnswer: 2, 3, 39084511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 191 = 313. What are the prime factors of a\/(-18)*42 - 2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108081 is divided by 35166.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -12. Is ((-2)\/(-10) - -1)\/(s\/(-3310)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jci when three letters picked without replacement from {p: 2, z: 1, c: 1, j: 1, l: 2, i: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddicvdicdlddcdd. Give prob of picking 1 l and 1 d.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(180)\/sqrt(5))\/sqrt(12).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + c - 7. Let d(n) = 5*n**2 + 3*n - 20. Let x(t) = -4*d(t) + 11*i(t). What are the prime factors of x(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -14*l**3 + 323*l**2 + 16. Let x(o) = -5*o**3 + 108*o**2 + 6. Give -3*b(v) + 8*x(v).\nAnswer: 2*v**3 - 105*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -373 * 0.065764.\nAnswer: -24.529972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4900) - (sqrt(4900) - -1*sqrt(4900)) - sqrt(4900))*-3)\/(sqrt(504)\/sqrt(2)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3 + r**2 + 10*r. Calculate k(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3\/613 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17870411 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 22 = 41. Let u be ((-729)\/(-6))\/f*(-4)\/6. Suppose -u*t = -5*t - 6740. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - a + 1. Let o(m) = 548*m**3 + 274*m - 274. Determine -274*c(l) - o(l).\nAnswer: -274*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(81\/(-18))\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = 11. Let n(x) = c*x - 7*x + 0*x. Let q(y) = -6*y - 7*y + 5*y + 0*y. Determine n(q(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/7 (b) -0.0491 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -9 - 0. Calculate the highest common divisor of 99 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(4\/(-20)))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60935 and 268114?\nAnswer: 1340570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/15? (a) 3\/16 (b) 2 (c) -3 (d) -0.5 (e) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 130, 242, 400, 604, 854?\n\"Answer: 23*c**2 - 3*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4*9\/(-180))\/((-47)\/4935)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198774739996\/11577 - -17169797. Let w = 44010721\/3762525 + s. Let y = w - 154\/13. Is 0.1 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 170*v**2 + 144*v - 4599. What is s(-171)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*u - 976, 6*x + 639 = 8*x + 5*u. Solve -48*c - x = -92 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 40. Let f(a) = 13*a**2 - a**3 - 151*a - 14 + 61*a + 75*a. What is the units digit of f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 75?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3387 by -8.\nAnswer: 3387\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4412, 35418, 119582, 283484, 553704, 956822?\nAnswer: 1519418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*w - 8*w - 7*w + 8*w as n*w + y and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11528045381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/280 + -1\/35. Let s = -123 + 125. What is the fourth biggest value in -0.1, j, s, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from vrrrvezrerarsrser.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116.798 + -23.798. Sort n, -1\/5, 0.18 in decreasing order.\nAnswer: n, 0.18, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 496 + -437. Let j = p + -152. What is the third biggest value in j, -0.5, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 19601043785689?\nAnswer: 19601043785688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 2, -17, -40, -67?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 times 300900\nAnswer: 126378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -4)**2*-5.\nAnswer: -640 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5860699nm to micrometers.\nAnswer: 0.0005860699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 + 2 - (5 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 110\/945*3 - (-2)\/9. Solve 0*s**3 - 2\/7*s**4 - 2\/7 + m*s**2 + 0*s = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-25)\/o)\/(o\/o**(5\/8)) assuming o is positive.\nAnswer: o**(-211\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*c - 5*c - 2*c**4 - 16*c + 48*c**2 + 38*c**3 - 44*c**3 - 28*c = 0. Calculate c.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2806897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/7 and -25\/14923.\nAnswer: 104461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.503 + -0.187. Let u = g - -1.59. Is u < -10.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87681160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*q - 3, 5*i + 2*q = 8. Suppose 3*h - 5*a - i = 0, a + 0 = -h + 6. Let l be (-21)\/(-56)*(-30)\/(-9). Put h, -2\/19, l in descending order.\nAnswer: h, l, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(55 + 12 + -56)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 38 - 41 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-3)\/(-9)*-3. Find the second derivative of -3*s - s**y + 10*s + 3*s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*q**2 + 5*q - 5*q)*((4 - 3 + 0)*(4*q + 2*q - 4*q) - 303 + 2*q + 303) to the form r*q**2 + t*q**3 + m + s*q and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 726884659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -22*x**2 - 1. Let m(j) = 9*j. Let q = 432 + -427. Let h(r) = q*g(r) + 24*m(r). Let s(b) = -8*b**2. Give h(s(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = 5*g, -5*g + 7*g = -3*o - 10. Let h(l) = 6*l**3 + 3*l**2 + l + 1. What is h(o)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324\/(-486) - 12086\/(-3).\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 9:26 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 8:57 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, x: 1, y: 4}. What is prob of picking 2 j?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 34342*q - 137363. Determine x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2533, 2657, 2837, 3103, 3485, 4013, 4717, 5627?\n\"Answer: 5*j**3 - 2*j**2 + 95*j + 2435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-44)\/(-40) - 1). Let i(v) = -v**2 - 3*v + 1. Let c be i(-4). What is the nearest to 2\/3 in o, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-27)*(3 - 5). Let p = 2\/9 - d. Let n be -2*3*(-5)\/(-10). Which is the nearest to n? (a) -0.3 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Let a be -6 + t + 6 + 5. Let w = -10 + a. Do w and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 18*b**2 - 2*b - 5. Let v(n) = 18*n**2 - 2*n - 6. Give -4*l(z) + 3*v(z).\nAnswer: -18*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/2772 and -131\/9447768.\nAnswer: 66134376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 151 = -181 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 1. Let s(c) = c**2 - 13*c + 4. Suppose 4*l - 20 = 32. Let h be s(l). Suppose 2*x + 3*x = -4*r - 5, 0 = -h*r - 3*x - 11. What is f(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15\/7 - -97\/42. Suppose 4*x - 4*z - 3 = 1, -5*x + 21 = -z. What is the nearest to 0 in -2\/5, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 1. Let n(j) = 2*j**3 - j**2 - 4. Let m(l) = -4*b(l) - n(l). What is the third derivative of m(v) wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*t - 22. Let a(h) = 7*h**2 + 2*h - 2. Let g be a(t). Suppose -2*m + 48 = -g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnkeeereenbeem. What is prob of picking 1 k, 1 n, and 1 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.9. What is the third biggest value in 0.9, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w**2 + 17*w + 29. Determine a(-4).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f**2 + 4*f - 2*f - 2*f + 3*f - 1 to the form u + w*f + s*f**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:38 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b - 2. Let i be y(-5). Let h(o) = 11*o - 3 + 9*o + i*o. Is h(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604744 to the power of 1\/2, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190887512 > 2099762634\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/36 - (-13)\/4. Differentiate 1 + 4*z - 4*z + i*z + 3 wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 31*f - 17. Let r be h(-30). Suppose m = 2, -3*y = 14*m - r*m - 14. Solve y*a - 2 = -2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433260859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-84)\/(-3) + 1 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 23 + 135. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 195*k - 73. What is the tens digit of m(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30458732, -30458733, -30458734?\nAnswer: -30458735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f**2 + 21*f + 8. Let u(r) = -r**2 - 2*r - 1. What is -2*p(y) - 18*u(y)?\nAnswer: 2*y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8784 and 1741245.\nAnswer: 83579760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4011, -7474, -10947, -14430, -17923, -21426, -24939?\n\"Answer: -5*s**2 - 3448*s - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 436? (a) 2\/11 (b) 9 (c) 0.1 (d) 10 (e) -2 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -186*y - 45. Let n be p(-5). Suppose -n + 255 = -7*c. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let q(s) = -26*s - 70*s + 47*s - 47*s. Give i(q(z)).\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y**4 - 54610992*y**3 - 163833057*y**2 - 122874807*y - 27305514 = 0. Calculate y.\nAnswer: -2, -1\/2, 4550919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 19*l + 18. What is s(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 30. Solve -3*x - 5*t - 12 = 0, -5*t + 3 - 20 = -u*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 2*f**2 + f**2)*(f**3 - 4 + 4 + f - 2*f**3 - f + (-1 + f**2 + 1)*(-f - 1 + 1)) + (-3 - 3 + 4)*(2*f**5 - 2*f**5 + f**5).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631216.1km to micrometers.\nAnswer: 631216100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 81\/(-18) + (-3)\/2. Let l be (-3)\/(-9) + (-22)\/f. Solve -21 = -5*c - 2*s, -l*s = 3*c - 3*s - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10158725\/1474908 + -613\/89. Let w = 383915\/49716 + f. What is the common denominator of w and 11*21\/90 - -5*16\/(-200)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27020555.69 plus 2.36?\nAnswer: 27020558.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2*p**3 - p**3)*(1528*p - 11 - 1528*p - 3*p**2).\nAnswer: 3*p**5 + 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, k: 7}. Give prob of picking 2 y.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 37*r**3 + 5*r**2 - 140*r - 22. Let a(l) = -56*l**3 - 8*l**2 + 212*l + 35. Determine 5*a(w) + 8*d(w).\nAnswer: 16*w**3 - 60*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 257.42151 + -257.53. Let t = -0.109 - p. What is t rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7559 or 7568?\nAnswer: 7559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*h**4*v - 4*h**4 - h**2 - 989*h - 14*v wrt h?\nAnswer: 1188*h**2*v - 48*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**3 + 8*y**2 - 4. Let m(t) = -t**3 + 1. Let a(b) = c(b) + 4*m(b). What is the third derivative of a(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0 + 1)*(-2 + 1739*q - 1733*q - 1).\nAnswer: 72*q - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -793 - 913320\nAnswer: -914113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 7\/2 (c) -2\/3 (d) 4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czzzziizcizziiiec. Give prob of picking 2 z and 2 c.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*w**3 + 16\/3*w**2 + 8*w + 0 - 2\/3*w**4.\nAnswer: -2*w*(w - 3)*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3)**(9\/2)*j**2\/(j\/((j\/j**12)\/j)) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*p**4 + k*p**3 - 28*k + 34*p**4 + 10*p**2 wrt p?\nAnswer: 24*k*p + 6*k + 816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1215?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0814 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -17. Let q be 1\/(68\/(-10) - -7). What is the greatest common factor of n and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:01 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/399 and -71\/342.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let i be r(3). Suppose 3*h = -i*y + 22, -4*h = 2*y - y - 1. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -132\/43807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:30 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*3\/(-9) - -4. Let m = 7 - n. Solve 0 = h - m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 109 + 131 = -2*c, 2*c = 10. What is the least common multiple of d and 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 5. Let k be 2\/4 + (-39)\/n. What are the prime factors of (-1 - k)\/(1\/2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27187 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 15, 48, 115, 228, 399?\n\"Answer: 2*h**3 - h**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**4 + 4*k**3 + 2*k**2 + 3*k. Let r(l) = 5*l**4 - 5*l**3 - 2*l**2 - 4*l. Let b(j) = 3*r(j) + 4*y(j). Solve b(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*d - 11, d - 12*r + 2 = -11*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.89 - -703.8464.\nAnswer: 702.9564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c**2 - 13*c - 6. Let o be f(-7). Find the common denominator of -2*o\/120 + 2\/2 and -1\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 3, g: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -43?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 161*s**3 - 1427*s**2 - 12801*s - 21294.\nAnswer: (s - 14)*(s + 3)**2*(s + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 2 - -2) + -3. Let i = k + 5. Let v = -0.7 + 0.3. Put v, 0.3, i in ascending order.\nAnswer: v, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5798580 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + (sqrt(500) + sqrt(500)*2)**2) + -5.\nAnswer: -4505 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (3 + -6) - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + s**3 - 2*s**3 - s + s**3. Let r(f) = 4*f**3 + 4*f - 1. Let b = 36 + 4. Let t = 46 - b. Give t*g(x) + r(x).\nAnswer: -2*x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 3*w. Suppose -4*g = y - 56, -2*y = 2*y + 2*g - 294. Suppose -y = -3*s - s + 2*c, -w*s + 44 = -4*c. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 20 - 1. Let c = m + 21. Suppose 2*a = 2*s + 18, -6*a + c*a = 4*s - 68. What is the remainder when a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1814129265 and 5403?\nAnswer: 5402.8185870735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*w - 24070 = -320*w - 678*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 74, 134, 208, 290, 374?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5 + 396*h**4 + 52200*h**3 + 202810*h**2 + 48201*h - 303606 = 0?\nAnswer: -101, -3, -2, 1, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 7:25 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 - 11*s - 20. Let a(m) = -m**3 - 8*m**2 + 11*m + 19. Let r(z) = -2*a(z) - 3*c(z). What is r(-4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17985 and 7194?\nAnswer: 35970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5874)\/(-356)*((-50)\/(-12))\/25*16\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2476434.901 rounded to the nearest 1000?\nAnswer: -2476000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*v + 5, -4 = 12*j - 11*j - 4*v. Suppose 2*i + 2*a - 100 + 0 = 0, j = 2*a - 10. What is the remainder when i is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4696*c*w + 304942*c + 16*w wrt w?\nAnswer: 4696*c + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 3 = 17. Suppose -4*l - f*l + 2*l = 0. Factor -2\/7*a + 0*a**2 + 0*a**4 + 4\/7*a**3 + l - 2\/7*a**5.\nAnswer: -2*a*(a - 1)**2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*g**3*z + 2*g**2*z - 9*g*z - 2 wrt g.\nAnswer: -984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/60 + l**4\/2 + l**3\/6 + 6*l**2. Let z be n(9). Suppose c = -c + z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6930569*o**3 + 6*o**2 - o + 566710.\nAnswer: 41583414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169551194807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 2\/79, 17.\nAnswer: -3, 2\/79, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*-8858917\nAnswer: -8858917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -5)\/(3\/3). Let l(n) = -6*n**2 + 31*n. Let h(d) = d**2 - d. Let g(v) = a*h(v) + l(v). Let g(s) = 0. What is s?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 211104 and 72?\nAnswer: 211104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4409 + 10123 = 14*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*m + 24 = 0, -9*u + 2*m - 28 = -7*u. Let v(b) = b**2 - 25*b - 13. Let j(q) = -q**2 + 12*q + 6. Let z(r) = -5*j(r) - 3*v(r). Is z(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m = 30*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 5*c**2 - 5*c + 4. Let w be z(4). Sort -4, -2, w.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 5. Let g be w(-6). Suppose 0 = g*y - 8*y + 1. Suppose 2*k - 2*o = o + 8, 1 = -5*k - 3*o. Does k = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4 - 5 - l + 0*l + 8. Let y be t(-8). What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326 + -303. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3 - 0) + (57 - 60)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98892034 - -98892013.9999916. Let g = -19.962 - 0.038. Let q = g - b. What is q rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2*l**2 + 3*l**3 - 2*l**2)*(-1 + 0 + 4).\nAnswer: 9*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20144 (base 5) to base 10.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19329362 divided by 1202\nAnswer: -16081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71377430 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1 - 8. Let k(d) = d**2 - 6*d - 8. Let a be k(l). Is 0 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 a when four letters picked without replacement from {t: 2, y: 2, a: 3, f: 1, g: 6}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9762 divided by 4.\nAnswer: 4881\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 + 195 + 13*v)*(v - 2*v + 3*v) + (4*v - 2*v - 4*v)*(-2*v - 1 + 1).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -k - 477470 - 131535, -5*d = -4*k - 2436005. What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:52 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00140955 rounded to 5 decimal places?\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -5*x**6\/6 - 23*x**3\/6 + 12*x. Find the second derivative of n(y) wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2255?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -38975 - (2 - (15 - 19)). Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-15)\/((-3465)\/(-22))). What is the nearest to 1 in b, 1, -8, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2699?\nAnswer: 13495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.1. Let x = 4\/77 + 18\/77. Let d = -8 + 8. What is the nearest to x in d, j, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089 <= 2044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 10 + 605. What are the prime factors of r?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161906217*a**3 + 2*a**2 + a - 491104499.\nAnswer: -485718651*a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*r = -3*o - r + 9, -o + 2*r = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-2\/9))**(18\/13)\/((n\/((n\/(n**(-2\/5)\/n))\/n))\/(n*n*n*n*n\/n**(-3\/2)*n)*n**(-5)*(n\/(n**4*n)*n)\/n) assuming n is positive.\nAnswer: n**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 92 = 154. Let v = -82 + b. Suppose 4*u - 200 = 4*t, v*t - 3*t = -4*u + 201. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/71811985 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7326)\/(-1188) + (-7)\/6. Let n(w) = -w - 5. Let t be n(-5). Let j be 20 - (t - (1 - 1)). Solve 0 = -b*p - 0*p + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8358.304 micrometers?\nAnswer: 8.358304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**4 - 2*v**3 + v**2 + 1. Let r(x) = 173*x**4 - 12*x**3 + 110*x**2 + 6. Let k(y) = 6*f(y) - r(y). What is the third derivative of k(g) wrt g?\nAnswer: -4296*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k - 9. Let o(v) = -3*v - 22. Let y be o(-9). Suppose -q - 2*d = 2*q + 10, q + y*d = 14. Let z(a) = a + 1. What is q*z(b) - x(b)?\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, q: 3, n: 6}. What is prob of picking 1 m and 2 q?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1943638?\nAnswer: -3\/1943638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0 (c) -2\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2572860 divided by -1644.\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*r - 90, -2*k + 25 + 9 = r. Solve -1 = 5*n - k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - p**2)*(5*p**2 + 1 - 11*p**3 + 19*p**3 - 12*p**3).\nAnswer: 4*p**5 - 5*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 3 = 24*x - z, 0 = -2*z + 6. Solve 0 = -3*b + 12, 4*v - 4*b - 13 + 9 = x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3071372.85 seconds?\nAnswer: 5.078328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88486, -88373, -88264, -88159, -88058, -87961, -87868?\nAnswer: -87779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 3*t + 0*t)*(-6 + 0 - 6)*(0*t - 9*t + 3*t) - t**2 + 54 - t - 55 + 4*t**2 as w*t**2 + m*t + v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -b75ca?\nAnswer: b75bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62002476 to the power of 1\/2, to the nearest integer?\nAnswer: 7874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 less than 12049\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 16*x + 20. Let s be c(9). Solve 3 = k, 5 = 2*i - k + s*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/11 and 188.291 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1294075 + 1294075 - 4156*j**4 + 5083*j**2 wrt j?\nAnswer: -99744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let r(n) = -n**2 + 10*n + 6. Let d be r(v). Let b = 116 - d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28377 * 523\nAnswer: -148.41171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 172804353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*o + 19314 = 1190*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r. Suppose -3*q = -r*q. Let p be 15\/(-25) - (47\/(-45) + 0). Is p greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*l + 13*l - 11*l to the form i + b*l and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 528, 501, 452, 375, 264, 113, -84, -333?\n\"Answer: -m**3 - 5*m**2 - 5*m + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 10 - 24)*(4*v - 4*v + v**3).\nAnswer: -26*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*g + 112, -4 = 4*g - 0. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 2. Let i(k) = 47*k**3 + 8*k**2 + 4*k - 6. Calculate -i(c) - 3*w(c).\nAnswer: -47*c**3 - 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2585 divided by 5?\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/15776 and -7\/6316316?\nAnswer: 50530528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 17*a - 113. What is i(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = t + 3*t + 32, 4*t = -4*j - 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 5*u + 0*u = -57, 3*n + 0*n + 3*u = 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 7*t**6\/240 - 257*t**5\/120 - 85*t**4\/12 - 19*t**3\/3 - 45*t**2. Determine k, given that u(k) = 0.\nAnswer: -1, -2\/7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1538 = -487*s + 3819 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39234 is divided by 1402.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 16. Let v be f(12). Is 4 a factor of 86\/v*(-10)\/(-30)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 200*(22\/(-4))\/(-1). Let w be (-1494)\/m + (-2)\/11. Let t = w + 1\/25. What is the closest to -1\/3 in -0.1, 5, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 1, -8 in descending order.\nAnswer: 1, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.2 - -41.2. Which is the nearest to -2.09? (a) z (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15431 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*t**3 + 250*t**3 + 143*t**3 + 420*t**3.\nAnswer: 683*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(sqrt(50) - (1*sqrt(200) - sqrt(200)) - sqrt(50))\/sqrt(10)*-2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -303, 339, -1, 0, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (93\/2)\/((35\/(-14))\/(-5)). Which is bigger: 91 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, -9, 2, -4, 9 in ascending order.\nAnswer: -9, -4, 2, 4, 9, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 7*m**2 + 6*m - 8. Let z be (2*-2)\/(4\/8). What is the lowest common multiple of 12 and n(z)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/54 and -95\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 11*234\/(-198).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1118 from -1014169.\nAnswer: -1013051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let x = -2 - z. Suppose -3*p = -3 - 0. Sort x, p, 0 in increasing order.\nAnswer: x, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1172*l - 1170*l - 1926. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 23\/60*m**5 + 22*m**2 + 0*m**4 + 0*m + 0*m**3 + 0. Let d(b) be the third derivative of b**5\/60 - 7*b**2. Give d(c(f)).\nAnswer: 529*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24390, -24409, -24432, -24459?\n\"Answer: -2*w**2 - 13*w - 24375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - o + 8 = 0, 0 = 3*s + 2366*o - 2368*o - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144261 divided by -411.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5432119.99 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1063556961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88034077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1856, -24, 5.\nAnswer: -24, 5, 1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*y**2 - 2*y + 448.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 206980837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 + 4*i**2 - 2*i - 2. Let l(z) = -z**3 + z**2 - z - 1. Calculate 4*l(b) - t(b).\nAnswer: -7*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 151, 181, 211, 241?\n\"Answer: 30*c + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23189*o**2 + 5061895*o - 5061895*o.\nAnswer: -23189*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202538 and 303548?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 8969 (b) 0.54 (c) -1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -11*x - 47 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2.4. Let g = o - 0.6. Let h = 3 + g. What is the closest to h in 0.3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12430 + 12548. Solve -w*t - 18 = -100*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + ((-39)\/26)\/(3\/8). Let b(x) be the first derivative of -1\/6*x**3 + 1\/8*x**2 - 1\/8*x**4 + 1\/24*x**u + 1\/4*x + 5 + 1\/20*x**5. Factor b(j).\nAnswer: (j - 1)**2*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = 28093 + 153725. Let g = -3890 - z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891864?\nAnswer: 2, 3, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c + 23*c - 35*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Is (-3)\/(3 + y) - -186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 545 + -546. Suppose 5*m - w + 3 = 0, 4*m + 7 + 1 = -2*w. What is the nearest to m in y, 1\/4, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**2. Suppose 0 = -4*p - 5*i + 68, 2*i + 68 = 5*p + 4*i. Let l(a) = p*a + 12*a - 26*a. Give w(l(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 11*y**4\/2 + 694*y**3 - 1145*y**2\/2 - 127*y = 0?\nAnswer: -127, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 1:35 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2372119 to four dps.\nAnswer: 0.2372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 196978673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-23))**(-20\/7)*q**(-13)\/((q**(1\/8)\/q*q)\/q) assuming q is positive.\nAnswer: q**(3001\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhmj. What is prob of sequence hm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 12, 0.1, -1\/8, 22.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**2 - 59 + 59.\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/5 (c) -0.06 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 19*d - 451 + 856. Is d >= 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/(-56) + 45\/30)*3768\/(-1727)*-112?\nAnswer: 96\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = 34*h + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -10*f + 33. Sort 20, 3, 0, f in descending order.\nAnswer: 20, f, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:04 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d + 39. Let q(p) be the first derivative of 0*p + 9\/4*p**4 + 3\/5*p**5 - 1 + 0*p**2 + 2*p**d. Suppose q(h) = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahnnanan. Give prob of sequence aan.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 11. Let w be m(9). Let v = w - -3. Suppose -3*b + 23 = -2*b + 5*u, 3*b - 2*u - 1 = 0. Put v, -2, 0, b in descending order.\nAnswer: b, v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 - 160*m**2\/7 + 15808*m\/7 + 692224\/7.\nAnswer: -4*(m - 64)*(m + 52)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 42197?\nAnswer: -3\/42197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*w - 51*w + 25. Let o be (w\/5)\/(-1)*2\/(-14). Which is the nearest to 0? (a) 5 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - 4*(sqrt(425) + -1) - (-3*sqrt(425)*-2 - sqrt(425)))*-4 - (-2 + sqrt(425) + (sqrt(425) + -2 + sqrt(425))*3 + 2))**2.\nAnswer: -2500*sqrt(17) + 265725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20381563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3)\/(g*g\/g**(2\/5))*(g**(2\/21)\/g)\/(g\/g**(-5)))**(-2\/69) assuming g is positive.\nAnswer: g**(502\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160080 or 160081?\nAnswer: 160080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-51337)\/(-33) + -8)\/(27233\/12). Let u = m - 78\/113. Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 83568856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1487 divided by -5417.\nAnswer: 1487\/5417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2754944856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -3, -238, 22.\nAnswer: -238, -8, -3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:05 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from aaaaaaaqqqqaqa?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*p**4 - 4*p - 12*p**2 - 29*p**2 - 40*p**4 + 7 - 6 + 77*p**4 to s + m*p + g*p**3 + h*p**2 + f*p**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -938 (b) 2 (c) -10\/17 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4682592 and 14427.\nAnswer: 32778144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25800 = 2512*q + 14617 - 2737 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -156, 3, -57, 0.4, 4\/3, 8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/4 (b) 3 (c) 28 (d) -2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 = 4*h, 3*o - 20 = -8*h + 4*h. Suppose 5*f = -o*l + 5*l + 10, -l - 20 = 5*f. Put -1, l, -0.14 in descending order.\nAnswer: -0.14, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4 + 0 - 2 - 4 - 12*w + 14. Let k(o) = 11*o - 3. Give -6*i(g) - 7*k(g).\nAnswer: -5*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 (base 4) in base 8?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (6 + -5 - -4)) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29156833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 1604 - 1589 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 3*h, 5*h - h + b = 2. Let d(r) = 126*r - 2. Let w be d(0). Let n = 256.5 - 256. What is the biggest value in w, 3, n, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3587057351 - 0.\nAnswer: -3587057351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/20 + l**4\/24 - l**3\/3 - l**2 + 380. Let j = 86 - 84. Give a(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*0.056024.\nAnswer: 2.016864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(44))\/((sqrt(32)*-2)\/sqrt(8)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -5, 6, -1 in ascending order.\nAnswer: -5, -1, -0.06, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let g(f) = 2. Let v be (9\/(-15))\/(5\/(-125)). Let o be 0\/(-1) - (18 - v). Let d(u) = o*g(u) - 2*r(u). Let b(w) = 5*w. Determine d(b(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j - 104. Let w be s(-17). What is the units digit of (-1)\/(-11) - (-6396)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s + 489 + 12*s**2 - 965 - s**3 + 479 as y*s + k*s**3 + x + q*s**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -347*r + 13. Let g(h) = 2*h. What is g(c(f))?\nAnswer: -694*f + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjxzkzxzxwzvkx. What is prob of sequence zx?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -1, 0.11, -3 in descending order.\nAnswer: 28, 0.11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:49 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 5:05 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72075, 72065, 72033, 71967, 71855, 71685, 71445, 71123?\n\"Answer: -2*z**3 + z**2 + z + 72075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(((-3)\/(-5))\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/(1\/((-2)\/(-3))). Suppose -4*n + 12 - f = -4*u, -u - n + 12 = 0. Suppose 0 = -5*g + 2*z - 3*z + u, -g - 22 = 5*z. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510304362 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16916 is divided by 703?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Let q = 6069 + -6068.7. Which is the closest to 38? (a) q (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 32 - 15 + 0*y**2 + 7*y + y**2 - 10. Give d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103163, -103190, -103217, -103244, -103271, -103298?\n\"Answer: -27*o - 103136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002744426575 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112) + 1)*-6.\nAnswer: -48*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010 + 12?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4244223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let d(j) be the first derivative of -j**5\/20 + 5*j**3\/3 + 1. Let q(r) be the third derivative of d(r). Determine v(q(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y = 3*h + 28*y + 21, -4*h + y - 16 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 1\/6*u**4 + 22*u + 1\/20*u**5 + 2\/3*u**3 + 0 + 1\/2*u**2. Let q be v(3). Calculate the highest common factor of q and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-2)*136\/((-39576)\/(-3395))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Suppose -k + 5*x + 29 = -2, 40 = d*k - 2*x. Suppose f = -5*r + k, -2*f - 3 = r - 6. Let g(w) = 5*w**2 + w. Determine g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/5 + 12*r**3\/5 + 17*r**2\/5 - 6*r = 0. Calculate r.\nAnswer: -10, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1620 + -990. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -23.8 (c) -415\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 18779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 141956*-2\nAnswer: -283912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -26. Which is the third biggest value? (a) q (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3390267*v**2 + 3164045 with respect to v.\nAnswer: -6780534*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/1 + (-322)\/(-21)*6.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187719, -375836, -563951, -752064, -940175?\nAnswer: -1128284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1101100 (base 2) to base 16\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059631614 rounded to three decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253 + 510. What are the prime factors of l?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 11*v - 11. Calculate the remainder when ((-2)\/3)\/(9\/(-675)) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18 = -3*k, -178*d + 176*d + 8 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 513 - 508. Put 2\/9, c, 0, 1.8 in ascending order.\nAnswer: 0, 2\/9, 1.8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/95, 2\/45, 7?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 35*k - 2 = -o, -4*o - 5*k = 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/12 (b) 0.2 (c) -2 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55838832 and 3988488?\nAnswer: 55838832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by -3.\nAnswer: 572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 87 - 63?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/11, 24, -0.3, -0.4, 7\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -a, 2*z - 5 = z. Let h(o) = -5*o**2 - 7*o - 7. Let w(c) = -c**2 - 1. Let i(n) = -4*n - 1. Let q(k) = -i(k) - 3*w(k). Give a*q(y) + 4*h(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s - c, -2*c + 8 - 31 = 5*s. Let t(l) = -6*l**2. Let x(w) = 5*w**2. Let k(v) = s*t(v) - 2*x(v). Let i(h) = h**2. Calculate i(k(j)).\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/16 and 1768 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j + 88. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10640*n**5 + 99080*n**4 + 234745*n**3 + 145540*n**2 + 34740*n + 2880 = 0 for n.\nAnswer: -6, -48\/19, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -0.5, -46\/13, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + g**3 - 2*g**3 + (2*g - 5*g + g)*(0 + 2*g**2 + 0) + (-13*g + 14*g - 21*g)*(0*g - 2*g**2 + 0*g) as n*g**3 + j*g**2 + h*g + s and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbqbopqpzzqof. Give prob of sequence pqz.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-184)\/42)*((-15650)\/300 + 51)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*o + 2 = -490*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14547*x = -14542*x - 4*j - 40, 3*x + 3*j = -30 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461.3114 rounded to the nearest 10?\nAnswer: -2460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 6*v - 4. Let d be n(-5). Is d greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10a + -4?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61032967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 62.36978m?\nAnswer: 62369.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92519757 to the power of 1\/2, to the nearest integer?\nAnswer: 9619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 232. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2736) + 5*(sqrt(2736)*-4 + sqrt(2736)) - (sqrt(2736) + 3*sqrt(2736))*2)*3*-3)**2.\nAnswer: 107262139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -10033324434?\nAnswer: 10033324440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*72\/(-20)*(-3)\/171. Which is the fourth biggest value? (a) v (b) 4 (c) 0.6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**5 - 725*h**4 + 11125*h**3 + 38525*h**2 + 26670*h = 0.\nAnswer: -2, -1, 0, 21, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1640 + -1867. Are -227 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 + 2*a + 41. Let o(b) = -4*b**3 + 3*b + 42. Determine 2*o(l) - 3*w(l).\nAnswer: l**3 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377684?\nAnswer: 2, 94421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/49 - ((-12)\/28 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaiaaiaaai. What is prob of sequence aaia?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 93. Suppose -3*j - 12 = -3*m, -5*m = 382*j - 381*j - 86. Calculate the greatest common factor of f and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.1, -3\/7, -8532, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2. Let w be 30\/8 + 6\/24. Let o(a) = a + w - 8 + 4. Calculate o(p(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(234\/24)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-1)\/(-9)*(110*-3)\/(-11))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 12*s**2 + 8*s - 12. Let f be g(-11). Let c = 41 + f. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935336 is divided by 14614.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d + 2 + 0)*(-5*d + 0*d + 3*d).\nAnswer: 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:35 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*2*-3.\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*y**2 + 103*y**2 + 4*y - 38*y**2 - 16*y + 85*y**2 to o*y + c*y**2 + q and give c.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -28 + 35 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -2*w + 1\/15*w**6 + 0 + 0*w**5 + 0*w**3 + 0*w**4 + 5\/2*w**2. Differentiate k(x) with respect to x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6600*f - 310235. Give o(47).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by ((-12)\/(-8))\/(9\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6383596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -498*n - 5919. Determine v(-10).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7722004)\/(-26) - (-16)\/(-104). Round m to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -4. Let r = 1 - m. Solve -4*t - r = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 plus -86.69?\nAnswer: -85.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813.52ml in litres?\nAnswer: 4.81352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.27015388 take away 741?\nAnswer: -663.72984612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**8\/5880 + t**7\/588 + t**6\/630 - 2*t**5\/105 - 68*t**3\/3 - 154*t**2. Let x(l) be the first derivative of g(l). Factor x(c).\nAnswer: 2*c*(c - 1)*(c + 2)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.03, -11, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-1 + -4 + -4.\nAnswer: -8 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 6*d - 5. Let b be w(-3). Let p be (-10)\/b*(-2)\/(-4). Let m be (p\/2*-91)\/((-4)\/8). Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 6*t + 2*p - 442 = 0, -2*p - 446 = 2*t. What is the fourth smallest value in 0.5, t, -3, -2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 38, 19, -18, -79?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/120 - t**5\/15 + t**4\/6 + t**3\/3 - 44*t**2 - 3*t. Calculate the smallest common multiple of z(-5) and 43.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(4\/9)*(f*f\/((f**(-1\/2)\/f)\/f))**(-48) assuming f is positive.\nAnswer: f**(-1936\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30142124663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/14*((-8)\/4)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1975)\/(-15) + (-1)\/(-3). Suppose 3*u = 3*a - 573, 4*u + 240 = 2*a - g. Calculate the highest common divisor of a and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let k(v) = 6*v**2 + 6*v**2 + 4*v - 13*v**2 - 3. Let n be (-5)\/4 + 4\/16. Let f(z) = n*k(z) - 2*y(z). Determine a so that f(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times -0.1?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 17*a**2 + 29*a + 6800 - 6802 to d + v*a + n*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 105. Solve -6*i = -3*i - 4*n + d, 2*i - 15 = -5*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 124*g**2 - 97. Let y(p) = -248*p**2 + p + 189. Let d(l) = -5*f(l) - 3*y(l). Find the second derivative of d(v) wrt v.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*j + 8\/7 + 2\/7*j**2.\nAnswer: 2*(j - 4)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8624*a**3 - 4*a**2 + 4*a**2 + 2878*a**3.\nAnswer: -5746*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 5:59 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.8, -0.2, -0.1, 1.3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -4 - 7) + 6 + 80\/(-35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -615, -914, -1261, -1692?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**6 - 9*r**5 + 82*r**2 + 6. Let l(q) = -11*q**6 + 19*q**5 - 163*q**2 - 13. Let d(j) = 6*l(j) + 13*s(j). Find the third derivative of d(y) wrt y.\nAnswer: -120*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - 20*b**2 - 5*b**3 + 13*b**2 + 2*b**2 + 31*b**2.\nAnswer: b**3 + 26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 324*a + 1309. Is j(48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t - 4228*t**2 - 14 - 48*t + 1 - 65*t + 4226*t**2 to g*t + c*t**2 + h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 1211.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-402)\/(-201))\/(2\/13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poup. What is prob of sequence po?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 5, -16, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-9))\/(2\/9). Let h = -1802 - -1806. Suppose s + 2*o - 34 = 0, -h*o = i*s - 3*o - 97. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/7)*c\/(c*(c*c*c**(-1)\/c)\/c) assuming c is positive.\nAnswer: c**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 116. Suppose -2*c - 5 + 47 = 0. Let o = c - z. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f - 2. Let c be a(-2). Suppose -2*u - 2*d + 18 = d, 0 = -c*d - 16. Solve 2*t = 3*q + 19, -3*t + u = -0*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105819360 a multiple of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1016366 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (3 + 1 + -6). Solve 0*m = -m + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25210337 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, -0.2, -11 in decreasing order.\nAnswer: -0.2, -11, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/3 (b) 2\/21 (c) -624 (d) 3 (e) -37\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5404004063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 9*g + 2*g)*(3 - 2 + 1)*((0 - 3 - 1)*(-2 + 3 - 2) + 4 - 2 - 4).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 45 = -25*s. Calculate the lowest common multiple of s and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/50)\/(12\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113091 is divided by 650.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1504 divided by -752.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6194, 12362, 18502, 24614, 30698, 36754?\n\"Answer: -14*v**2 + 6210*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 34 = -11*l + 21 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -1\/4*s**4 + 1\/3*s**3 + 0*s**2 + 0*s + 2. Suppose w(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139.19278285 to one decimal place.\nAnswer: 139.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45.9 or -1?\nAnswer: -45.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*h = -92. Solve 0 = -3*v - 4*o - 14 + h, 5*v = -o + 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 5*j + 11, -1 = -2*v + 10*j - 9*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236081 is divided by 1546.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450*j**3 + 97280*j**2 - 231528*j + 138528.\nAnswer: -2*(5*j - 6)**2*(9*j - 1924)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/6 - 14*p\/3 + 533\/6 = 0.\nAnswer: -41, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - (sqrt(102) + 1*sqrt(102) + sqrt(102) + sqrt(102)))*-1) + sqrt(102) + 4*-2*sqrt(102))\/(sqrt(864)*-2*6).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001231742 to six dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*p - p + 8*p)*(3*p - 1 + 4*p - 6*p) as i*p**2 + n + b*p and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -453602.\nAnswer: 3\/453602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 7. Suppose -o + 4 = o. What is the lowest common multiple of o and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 74*t - 70*t - 274, 5*t + 610 = 5*k. Suppose 134*n - k*n = 14. Solve 5*h - 9 = -n*x, -4*h + 2*x = -0*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/(238\/(-5355)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.5 (c) 0.28 (d) 815 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*l + 18. Suppose -5*g + l*u = -164, -5*u = -u - 12. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/11)\/(v**(-2\/15)\/v))\/(v*v\/(v**(-8)\/v)*v**(-10\/9)) assuming v is positive.\nAnswer: v**(-4379\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 327, 334, 351, 384, 439, 522, 639, 796?\n\"Answer: b**3 - b**2 + 3*b + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-18))\/4 + (193518\/(-1404) - (-3)\/6).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naa when three letters picked without replacement from naanaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 + 0 = 0. Let w be 10\/6*(-3 + v + -1). What is the closest to -2\/5 in -3\/4, 0.5, w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*u - 28141555 = -127*u + 9638837. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 30*d + 59. Calculate the lowest common multiple of y(28) and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -12. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -y + 15704 - 2473, 4*y - 5*o - 53060 = 0. List the prime factors of y.\nAnswer: 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 31918090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/5 - 61458*v**2\/5 - 94420998*v + 94433290 = 0.\nAnswer: -15365, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 912, 2143, 3866, 6081?\nAnswer: 8788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (8 - 21)) + (-1 + 1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)\/8*(12 - 14).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 18*u - 51. Let f be a(14). Let x be (-64)\/80*15\/(-2). List the prime factors of 3\/(x\/(-4)*f\/(-360)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -999*i - 2992. Let q be w(-3). Which is the third smallest value? (a) -11\/7 (b) -8 (c) 3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8449 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.8 + 6.8. Let w = -1.7 - f. What is the third smallest value in -5\/2, w, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149139 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 8*w**2 + 5*w - 1. Is s(8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 + 4*n + 4. Let u be r(5). Let c be (-1468)\/(-36) + (0 - u). Let h = -3607\/90 + c. Find the common denominator of -109\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53275 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1 + (-32)\/(-2). Let z(d) = d + 10. Let o be z(-8). Suppose 0 = 2*g - o - 4. What is the highest common factor of g and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 72 = 5*g. Let a(o) = -o**3 - o**2 + 6. Let z be a(0). Let y be (-8)\/3*(-135)\/z. Calculate the greatest common factor of g and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53.9 times 0.3\nAnswer: -16.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:24 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12356684?\nAnswer: 2, 3089171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2930*8*-1. Suppose 48 - 51 = -3*b. Is b smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171 - 118. Let x = -5 - -16. What is the remainder when u is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102, 204, 308, 414?\n\"Answer: b**2 + 99*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 11. Let s(q) = -q**2 + 143*q + 65. What is -6*j(b) + s(b)?\nAnswer: -b**2 + 137*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 107*m**6\/360 - 152*m**3\/3 + 206. Let g(z) be the third derivative of b(z). Let o(r) = -4*r. Determine g(o(a)).\nAnswer: 1712*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c*c**(1\/4)\/c)*c)))**42)**(-3\/37) assuming c is positive.\nAnswer: c**(-441\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a = 32 + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(171) - 1*sqrt(171) - sqrt(171))*1)\/(((-3*(sqrt(72) - -1*sqrt(72)) - sqrt(72)) + sqrt(72))\/sqrt(8)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131 or 4724?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584) + sqrt(1584)*2*1)) + 3)**2.\nAnswer: -144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= 1586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x. Suppose x = 3*t + 2*t. Suppose 2*g - 6 = t, w = g + 3*g - 5. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126.3 - -81.6. Let o = 143.3 + a. Let v = o - 111. What is v rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/3 - 7708*y\/3 + 11895800.\nAnswer: -4*(y - 2175)*(y + 4102)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008830008 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 212*q - 3820. Give s(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2 - 1 + 3*k)*(6 + 59 + 6).\nAnswer: 284*k + 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + x**3 + 13 + 501*x**2 - 253*x**2 - 249*x**2 + (0 + 0 - 1)*(3*x**3 - 4*x**3 - x**3).\nAnswer: 3*x**3 - x**2 - 2*x + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v + 3. Suppose g + 9 = 15. Let o(y) = 9*y - 1. Calculate g*j(s) + 17*o(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d**2 + 0 + 2\/3*d**4 - 1\/3*d**5 + 0*d + 8\/3*d**3 = 0. Calculate d.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2.17 (c) -4 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 615809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76.2 - -76.6. Sort 0.1, d, 4\/31, 6 in decreasing order.\nAnswer: 6, d, 4\/31, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 36. Which is bigger: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f = -18*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 7 + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1318, 2683, 4056, 5443, 6850, 8283, 9748, 11251?\nAnswer: 12798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 2.2 (c) -1 (d) 0.3 (e) 70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 2004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 528. Let n be (-6)\/8*l\/(-36). What is the third derivative of n*s**2 + 7*s**2 - 35*s**4 + 32*s**4 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {f: 2, l: 4, n: 1, m: 2, g: 8, y: 3}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*y + 121 - 11, y = 5*v - 152. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, -0.3, 5, -3, 807, 17 in descending order.\nAnswer: 807, 17, 5, 0.4, 0.2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.47 (b) -5.7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1900591 times 2.5?\nAnswer: -4751477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 1. Let q be p(1). Let l(m) = -m + 4 + 5*m**3 - 4*m**3 + 4*m**q. Let r(j) = 9*j**3 - j + 7. Determine 5*l(f) - 3*r(f).\nAnswer: -2*f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 24, -33, -124, -255, -432?\n\"Answer: -d**3 - 8*d**2 + 2*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 - 5*g + 4. Suppose 3*b = -0*s + s - 6, -2*b + 5*s = 17. Let r be -1 - (-4)\/(b + 2). Is z(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/6*-8*(-33)\/110)\/(-16)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -49, -159, -355, -661, -1101, -1699, -2479?\n\"Answer: -4*k**3 - 7*k**2 + k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10150 and 1973160.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1 - 3) + -1. Let k = 120.3 - 124.3. What is the closest to -2\/5 in -1\/7, k, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -5, -543 in increasing order.\nAnswer: -543, -5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271721\/30 - -9063. Find the common denominator of i and (-453)\/(-405) + 2\/5.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -37*y**3 - 3*y + 202 - 1\/2*y**4 + 43*y**2. What is the second derivative of l(b) wrt b?\nAnswer: -12*b - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 2*m - 19*m**2 + 0*m**2 + 6*m to the form i*m + n + p*m**2 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 3*f + 8*f + 9*f to b*f + a and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 449603503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -4.2. Suppose 3*d + 9*n + 5 = 4*n, 4*n = 8. Sort d, 3, 5\/6, q in descending order.\nAnswer: q, 3, 5\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310324 plus 0.4?\nAnswer: -2310323.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64, -81, -108, -151, -216, -309, -436, -603?\n\"Answer: -a**3 + a**2 - 13*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 397*c - 283. Is z(23) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -495.4 + 4633346307.\nAnswer: 4633345811.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -125092190 to the nearest 1000000.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**3\/3 + 7*y**2\/2 + 4. Let u be c(-4). Let p be (u\/216)\/(1\/4). Is p < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**4*q**3\/q)\/((q\/(q\/(q*(q*q**(-2))\/q*q)))\/(q*q**(-3))) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*x + 110, -2*f - 5*x + 51 = -0*f. Let v = f - 31. Let j be (-2)\/(2 - (-6)\/(-4)). Is j not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22310 divided by -485?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((4 + sqrt(605))*-1 - sqrt(55)\/(2*sqrt(1584)))*1)**2 + -1.\nAnswer: 265*sqrt(5)\/3 + 362645\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36385313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29628149163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(297) - sqrt(297))\/sqrt(11))\/((sqrt(9) + sqrt(81))*6*-2) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/12 - 7381\/(-4). Let t be 3 + -4 - a\/8. Let j = t - -232. What is the common denominator of 23\/4 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 + 5547*p + 22138. What is n(-4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 419, -7, 2\/21, 0.657 in decreasing order.\nAnswer: 419, 0.657, 2\/21, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -1.466?\nAnswer: -1.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Suppose -2*l + 7*l - 31 = 4*n, 2*l = -5*n - 14. Sort 0.3, l, g in decreasing order.\nAnswer: l, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9288080*g*u**3 + u**3 - 6970*u**2 + 510*u wrt g.\nAnswer: -9288080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 32.3. Let i = 0.065 - -0.115. Let f = i + 2.82. Which is the closest to -5? (a) f (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 + 54*d - 166. Give n(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 155. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**8\/84 + 2*o**5\/15 - 8*o**2. What is the third derivative of w(q) wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -361, -402, -431, -442, -429, -386, -307?\n\"Answer: n**3 - 48*n - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let y(r) = 4*r. Let f(i) = 9*g(i) - 4*y(i). Let m(o) = -6*o**2. Determine f(m(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 177, 174, 169, 162?\n\"Answer: -r**2 + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3851495839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let w = 7 + i. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553085.9 months in years?\nAnswer: 129423.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.411 - -25.311. Which is the smallest value? (a) 2 (b) 0.2 (c) 1203 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12125 - -12202. Solve 0 = b*a - 64*a + 117 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987 greater than 2986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25842093 is divided by 285.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 30. Let c be ((-5 - -5) + 4\/(-2))\/(-1). Suppose -3*l + n = c. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*j = -35, -11*j + 15 = 2*d - 16*j for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 - 502*a - 2*a**3 - 523*a - 2*a**2 + 1053*a + a**3 to the form y + h*a**3 + o*a + s*a**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38046 = -52*r + 38618 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 - 7*s**2 - 10*s + 2. Let l(u) = -2*u**3 + 4*u**2 + 5*u - 1. What is 7*l(a) + 4*m(a)?\nAnswer: 2*a**3 - 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrh when three letters picked without replacement from {h: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 38.9965 = -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 - 140*i**2 - 1408*i - 3072 = 0.\nAnswer: -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -50*r**4 + 172455*r**3 + 2057565*r**2 + 5986345*r + 4101285 = 0.\nAnswer: -79\/10, -3, -1, 3461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - sqrt(1500)\/sqrt(3))*5)\/(sqrt(1000) - (((sqrt(1000) - sqrt(1000)*-3) + sqrt(1000))*6 - sqrt(1000))).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 87574 - 57562. What are the prime factors of i?\nAnswer: 2, 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let w(q) = -3*q - 3. Let z(s) = -1. Let v(u) = w(u) - 3*z(u). Determine h(v(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 5*b + 1. Let k be c(-3). Let v be (2 - -56)\/(7 + k). Let a = v - 24. Calculate the greatest common divisor of a and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1582, 5588, 10976, 16696, 21698, 24932?\nAnswer: 25348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*k + 8*k. Let h(q) = -q**2 - 15*q + 3. Let d be h(-15). Solve d*r + k = 4*t, -3*t + 5 = r - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 + 13*i**2 - 4*i - 15. Let m(n) = -n**3 + 4*n**2 + n - 1. Let h(y) = -6*m(y) + r(y). Give h(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2188126*i**2 + i - 314455 wrt i?\nAnswer: 4376252*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 11 - 3*q - 2*q**3 + 10*q to l + d*q + o*q**2 + z*q**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 555772282519 - -248286622410. Let k = n - 804058906059.999999459. Let y = -1131 - k. What is y rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55681310*l**3 - 149*l**2 + 109363*l wrt l?\nAnswer: 334087860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Let p = 23 + a. Let r = p + -10. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-804)\/(-120) - (-15)\/50\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7617 + 868*x**2 - 84*x**2 + 16*x**2 - 6563 wrt x?\nAnswer: 1600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/8))**11 assuming h is positive.\nAnswer: h**(77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514733842.\nAnswer: 2, 7, 36766703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*z + 30. What is the remainder when z is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3088, -3111, -3144, -3193, -3264, -3363, -3496?\nAnswer: -3669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from ajjajjjj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14333 less than -255376.251?\nAnswer: -255376.10767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -191*l**2 - 2*l. Let s(r) = -386*r**2 - 5*r + 1. Calculate 5*n(j) - 2*s(j).\nAnswer: -183*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-4\/15)*p*p**(-3\/4))\/(p\/(p*p\/((p**1*p)\/p*p))*p**(2\/11)\/p) assuming p is positive.\nAnswer: p**(1189\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 517989 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: Suppose -2*o + 324 = 3*p, 0 = -2*p - p + 5*o + 324. What is the remainder when p is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 2848548?\nAnswer: 25636932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 1. Let t = -21 + 13. Let n = t + 9. Determine c(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 2, l: 8}. Give prob of sequence rr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -22*j + 26*j + 16, -3*s + 4 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - sqrt(88)*-2*5))\/(sqrt(6)\/sqrt(3)*4 - (sqrt(98) + sqrt(98)*2 - sqrt(98))).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwkkziiuikiiimmi. What is prob of picking 1 z, 1 k, and 1 w?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 149*l**2 - 37*l - 6. Let z(t) = -75*t**2 + 15*t + 3. Determine 2*r(g) + 5*z(g).\nAnswer: -77*g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145799 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/14 + -3 + 1020\/21. Let f = i + -21. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 2, -24, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) 6 (b) -1\/6 (c) 5 (d) -15 (e) -101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 197913178 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 1\/(4\/(-136)). Let m = -30 - r. Let k(a) = -a + 3. Let q be k(m). Are -2\/33 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m. Let l(r) = r - 1. Let x = -15 - -22. Suppose -2*k = -x*k + i + 16, 0 = -k + 3*i - 8. Let o(p) = k*l(p) - v(p). Differentiate o(s) wrt s.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45\/53 in 2, -1, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 8*n - 8*n - 38*n**3.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(66)*1*6*1)\/(2*sqrt(216)).\nAnswer: sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159419 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 v = -1.4 + 1.3. What is the smallest value in v, -1, 5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 7, u: 1}. What is prob of picking 4 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202185680 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 11*c**2 - 5. Let f be i(-11). Let k = f - -25. Calculate the remainder when 84\/(-9)*(90\/(-4) - -12) is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 797.55651 milliseconds?\nAnswer: 0.000221543475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4455 and 1124280.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 13.1545\nAnswer: 23.6781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -362*-20.\nAnswer: 7240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5343784.\nAnswer: 2, 193, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1858, 7447, 16764, 29809, 46582, 67083, 91312?\nAnswer: 119269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z = -59*z + 45*z + 154 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40279537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 51\/6)\/(4\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (385 - 773 + 386 + 1519*z)*(-1 + z**2 + 1 + (-z + 4*z - 5*z)*(z - 5*z + 3*z) + 2*z**2 + 0*z**2 - z**2).\nAnswer: 6076*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Let y = 0 - l. Sort -0.4, 4, y in increasing order.\nAnswer: y, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or -15\/14?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 0.23. Let a = 0.7 + h. Put -2\/13, a, -0.5 in descending order.\nAnswer: a, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -754763 (base 11) to base 5.\nAnswer: -302104202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 + 3a2?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4806 and 1958?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 2*i**7\/21 + 4*i**6\/5 + 13*i**5\/5 + 4*i**4 + 8*i**3\/3 + 5*i. Factor x(k).\nAnswer: 4*k*(k + 1)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 37 (b) 2\/3 (c) -3 (d) 2 (e) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 8. Let l(f) = f**3 - 9*f**2 + 14*f. Let y be l(q). Solve y = -b + 3*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from jrjrmmrjjrr?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-507))\/((-37)\/(-11544))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((1 - -13) + 2925\/(-450)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/18*12\/(-8). Which is the nearest to j? (a) -0.1 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1401.0579us?\nAnswer: 0.00000038918275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(5*(-1)\/(5\/2)). Let m be ((-10)\/j)\/(5\/(-4)). Suppose 0 = m*b - 4*c + 12, -c = b - 4*b - 3. Which is greater: b or 2\/105?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.512663007 to 3 decimal places.\nAnswer: 0.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 8 = 4*z, -4*z - 90 = -j - 82 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -10 + 2\/2. Which is the smallest value? (a) 2 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2928\/(-432) - 2\/9. Let x(d) = d**2 + 6*d - 9. What is x(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 + 3 = 0. What is the common denominator of -21\/4 and (2 + 336\/(-9))\/u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/143 - -131\/858. What is the third smallest value in a, 1\/5, -3\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/(-84))\/((-35)\/(3185\/(-52))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 709 + -0.0951920635.\nAnswer: 708.9048079365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116\/3? (a) 0.1 (b) -0.07 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27\/2, -0.1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37c + 15?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1855 divide 169367065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3726 is divided by 367?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -10130013102?\nAnswer: -10130013110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17005 and 60.\nAnswer: 204060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555.\nAnswer: 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 21 = -3*l, 0*l + 25 = -5*l. Suppose -4*d + 4 = 3*v, -p*v + 5*v - 12 = 2*d. Let f be 8\/2*(-4)\/24. Is d less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwzzwwzwzwwzww. Give prob of picking 3 w.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0 - 13*q - 1\/6*q**4 + 0*q**2 + 1\/24*q**3. Factor x(v).\nAnswer: -v*(8*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let m(j) be the first derivative of -j**2\/2 + 5*j + 2. Let h be m(0). Let k(d) = -d + h*d - 2*d. What is k(l(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 158.\nAnswer: -63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u + 21*u - 44*u)*(-3 + 6 + 1)*(-3 + 3 + 2) - 2*u - u + u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1411647 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-16) + (-2)\/(8\/55). Let o(q) = q**3 + 14*q**2 + 12*q - 9. What is o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 - 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1855 times 386?\nAnswer: -71.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 692792952 a multiple of 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22986 or -33\/2?\nAnswer: 22986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 75336?\nAnswer: 979368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o = -50. Solve -3*l = -4*t + 16, -2*l + 4*t - 2*t = o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 3011222231?\nAnswer: 3011222310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 2. Let s be g(-5). Let c = s - -13. Suppose -l = -c*l + 5*h + 43, -3*l - 5*h + 41 = 0. Calculate the remainder when 35 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -62*r + 1639. Calculate n(32).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -3*s**6\/40 - s**3\/6 + 3*s**2\/2 + 7*s. Let i(p) be the first derivative of u(p). Is i(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -3.16, -0.09 in increasing order.\nAnswer: -41, -3.16, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)*23\/(-69)*1\/(-3). Which is the closest to -1? (a) 0.06 (b) -4\/9 (c) -0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 13) to base 6\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a - 62. Let s be n(8). Let y(c) = -c**2 - 8*c + 7. Let k be 74\/(-6) - (-20)\/15. Let q(l) = 2*l**2 + 15*l - 13. Give k*y(w) + s*q(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:21 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70429766.\nAnswer: 2, 11, 757, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o - 4, -3*u + 4*o + 9133 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 104773531 and -4844546.\nAnswer: 99928985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 40 = 5*l, -9*x + 17*x - 10*x + 25 = 3*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 2 = 7*n. Suppose -n*t - 16 = -31. What is the units digit of (-435)\/(-10) - t\/(-6*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8499*b**3*h - b**2*h - 8*b*h + 21*h wrt b.\nAnswer: 50994*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49681790 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*b - p, -338*b + 339*b - 5*p = -19. Solve -f = 3*j + 7, -f - b = -j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((-61)\/(-183)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y**3 + 7*y**2 + 7*y - 88. Let j(s) = -9*s**3 + 5*s**2 + 5*s - 59. Give -7*j(z) + 5*r(z).\nAnswer: -2*z**3 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*h + 349*h - 2*h**3 + 4*h**3.\nAnswer: 2*h**3 + 252*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*w + 1 - 5 - 2 as b*w + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1534 or 1535?\nAnswer: 1535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (513\/95)\/(1233\/(-6850)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(9\/2)*u*(u**(1\/5)\/u)\/u*u*u**(-1\/8)*u**(2\/9) assuming u is positive.\nAnswer: u**(1727\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 2. Let g be -12*((-3)\/2 + 1). Let x be d(g). Let v(m) = 22*m + 16. Let a(k) = 7*k + 5. What is x*a(n) - 5*v(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(12\/(-10)*(-50)\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 198*b - 1129. Determine m(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -12*c - 26*c**2 + 2 - 8*c**4 - 271*c**3 - 4 + 247*c**3 = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-153) - 2\/(-9). What is the nearest to 0.1 in r, -1\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -4*c + 4*h - 2, 4*h - 1 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z**2 + 2*z)*(-z + 0*z**2 + z**2 - 3*z).\nAnswer: -2*z**4 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 12. Let a = 6 - -37. Suppose 9 = -a*j + 42*j. What is p(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31999.\nAnswer: 11, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53695 is divided by 281?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -27. Let o = 10 + z. Let x(w) = -3*w**2 - w**2 - o*w - 2 + 2*w + 5 - w**3. Calculate x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13372.8 and 22052793.38?\nAnswer: 22039420.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 1246*q**2 - 236912*q - 12497376.\nAnswer: -2*(q + 87)*(q + 268)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2524117 divided by 1?\nAnswer: -2524117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*b - 19, 6 = -6*b + 5*b + 3*j. Let l(p) = -p**2 - 6*p. Let a be l(b). Let m = -4 + a. Solve -m*r - 14 = 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. Let j(i) = i**3 + 9*i**2 + 9*i + 20. Let a be j(-8). Suppose y*o + a = 2*o. Sort o, -5, -3.\nAnswer: -5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4\/7, 2, 3, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 19 + 5*o**2 - 11*o - 19. Let d(v) = -3*v + 3*v**2 - 3*v**2 + 2*v**2. What is -7*d(k) + 3*i(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1635)\/(-3815))\/((-171)\/(-1001) + (-14)\/77)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 19*a + 88. List the prime factors of m(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(2080\/1092)\/(5\/42*3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -473239*g**3 - 783098.\nAnswer: -1419717*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 + -665\/4. Which is the third smallest value? (a) 46 (b) n (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 4.05. Let m = o + -1. Let p = 1003 + -998. What is the third biggest value in p, -2\/13, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -174*c**3 - 4*c**2 - 11*c - 86. Let z(w) = -35*w**3 - w**2 - 2*w - 17. Let b(o) = 2*y(o) - 11*z(o). Find the third derivative of b(n) wrt n.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 24*o + 29. Let s(v) = v**3 - 12*v**2 - 13*v + 18. Let q be s(13). What is the tens digit of m(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 776*o - 241070. Let n be c(311). Let b be 4\/(-10) + 1524\/10. Calculate the highest common divisor of b and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - 2*x - 2*x + 9*x**2 - 8 + 11 - 3*x + 2*x**4 + 4*x to the form p*x**3 + h*x**4 + t*x + k + f*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkmkkkkkkk. Give prob of sequence kkm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 - 11*y**4 - 26*y**3 - 16*y**2 = 0. Calculate y.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29470, 58770, 88070?\n\"Answer: 29300*v + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 18*u + 45. Calculate b(18).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*b + 20, 3*b + 16 = 6*b - m. Solve y + 6 = s, -26 = 4*y - 2*s - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68211780 and 6045.\nAnswer: 68211780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -475 and -18.\nAnswer: 8550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 6\/17372839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 135 (b) 0.18 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1086, -2156, -3226, -4296, -5366, -6436?\nAnswer: -7506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 27*m = 190. Is -81\/8 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -231 + e763?\nAnswer: e532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 9*n**2 - n - 13. Determine w(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 63627.94 millilitres?\nAnswer: 63.62794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -659 - -681. Which is smaller: a or 159\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3728 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {w: 11, z: 4, m: 1, j: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/440*-19 - (-4)\/(-22). Which is the second biggest value? (a) -2\/5 (b) 2 (c) s (d) 0 (e) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.1, 8.584 in descending order.\nAnswer: 13, 8.584, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-1792)*-16*14\/24?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 135884.6 years?\nAnswer: 13588.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.199 + -81.251. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156242260.\nAnswer: 2, 5, 7812113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1453888806221+1\nAnswer: 0.8546111193779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 390, 636, 862, 1062, 1230, 1360?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 1, 0 = 2*y + 4*p - 10*p - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452482079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u + 3. Let s(n) = 48*n - 8. Determine -8*r(y) - 3*s(y).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.3 - -40. Let x = v + -4.69999788. What is x rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)*(-3)\/2. Let g = -1 - q. Factor -2*m**3 + 2*m**3 + g*m**3 - 2*m**5.\nAnswer: -2*m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15278 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.63 + -2.68. Which is smaller: t or -0.04?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(2\/79)*((q**2*q)\/q)\/q**(-3) assuming q is positive.\nAnswer: q**(399\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1098*a + 91723. Give p(83).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (70\/42)\/(2 - 7035\/3519)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300.2 times 647\nAnswer: -194229.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 464342 bigger than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/6 - 46565240*k\/3 + 93130481\/6 = 0.\nAnswer: -93130481, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysyyyyyyssyysyyysy. Give prob of picking 1 s and 3 y.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8050.675 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1)\/(x*x*x**(-6)))**(13\/3) assuming x is positive.\nAnswer: x**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3390476191344 + 17.\nAnswer: -3390476191327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)*-6)\/(3*sqrt(567) - sqrt(567)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 51*d - 350. Let z be i(-6). Sort 0, z, 2, -5 in ascending order.\nAnswer: z, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 2*p**2 - 3*p**2)*(2 + 2*p**2 - 2) + (-2 + 0*p + 3 + p - p**3)*(-2*p - p - 3*p) in the form v*p**2 + t*p**3 + x*p**4 + b*p + c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 109. Suppose 1385 = 3*m + 5*r, 0 = r - x + 6. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 35*i + 24. Determine u(35).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (476\/42 - 7) + (-10230)\/(-198)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.16 + 1.18. Let l = -0.01 - 1.99. Which is the third biggest value? (a) q (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 8, 1419, 9 in descending order.\nAnswer: 1419, 9, 8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*h - 4*h - 90, -3*n = 5*h - 135. Suppose 16 - 2 = 7*a. Suppose 3*k - n = -a*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (-5 + 1 + sqrt(2057) + sqrt(2057)))**2.\nAnswer: -88*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 3. Let v be q(-3). Let b(t) = -t**3 + 2*t**2 + 4*t - 4. Calculate b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*l**(3\/7))*l)*l*l**19)\/(l**(1\/29)\/(l\/((l\/l**(5\/7)*l)\/l*l))))**(-23) assuming l is positive.\nAnswer: l**(-89217\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -130390 divided by -65195\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -5119 = 4\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.17 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 1 - 3. Let l(z) = -z**t + z**2 - 2*z**2. Let n(x) = -17*x. Let v(i) = 6*i. Let b(q) = 3*n(q) + 8*v(q). What is l(b(y))?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -224 divided by -56\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 5527. Is 33 a factor of z(124)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6728321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*0*(-2)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 4*z + 10, -3*r + 0*r + 3*z = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5 + 12\/5*k**2 + 2\/5*k - 2\/5*k**3.\nAnswer: -2*(k - 6)*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31018912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22481809567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 4:33 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*s - 11*s - 2 - 18*s + (-3 + 0 + 8)*(-6*s + 0*s + 0*s).\nAnswer: -35*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 + -17.6. Let s = x - -9. Let o = -7 - s. Which is the third biggest value? (a) -5 (b) -2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x + 595 - 142 = -402. Solve 4*h + 0*i + 5*i - x = 0, i + 19 = 3*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 10. Let i be r(-8). Suppose -i*h + 0*h + 6 = 0. Suppose h*b = 2*b + 54. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7916903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3587808*-23.\nAnswer: 82519584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*-38.012138\nAnswer: -76.024276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 203 = 252 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3) + 72\/(-90))*6.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m + 44. Let s = 13 - m. Suppose 3*v - v - 2*w = s, 5*v - 4*w = 55. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtqe when four letters picked without replacement from {w: 6, e: 3, t: 1, q: 4, v: 1}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 5) + (11 - 13) - 1) + -302 + 306.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.99528 rounded to 2 dps?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92014 - 45896 + 120*l - 46118.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -660*h**2*i**3 - h**2*i - 2*h*i**3 + 1460*h*i**2 - 5*h*i - 602*i**3 - 90 wrt i?\nAnswer: -3960*h**2 - 12*h - 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*j + 115*j - 15*j - 2*j in the form d + s*j and give s.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d + 2132 = 89*d - 268*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q - 2. Let h(k) = -k**2 - 34*k - 213. Let v be h(-8). Determine u(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b + 7*b - b - 12*b**2 + 14*b**4 + 4*b + 49*b**4 - 123*b**3 = 0.\nAnswer: -1\/3, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139729944?\nAnswer: 2, 3, 5822081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 105 = 5*h. Let f = 52 - h. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 569832 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.360238 tonnes to grams.\nAnswer: 4360238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/140 - 3*h**4\/56 - h**3\/7 - 19*h**2 + 20*h. Let l(n) be the first derivative of i(n). Factor l(m).\nAnswer: -3*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a**3 - 2*a**3 + 2*a**3)*(2 - 6 + 2) - 154*a**3 + 74*a**3 + 117*a**3 + 4*a**3 + a - 2 - 2*a**3 - 4*a**3)*(5*a - 3*a - a).\nAnswer: 37*a**4 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7612*f*o**3 + 2*o**3 + 73905 with respect to f.\nAnswer: -7612*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*f**2 - 4 + 62*f**2 - 2 + 0 to p + j*f**2 + c*f and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638\/(-6370)*2\/9?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2 + 2)*(2*j - j + j) - j**2 + 0*j**2 + 2*j**2 - 4*j - j**2 + 4*j - j**2 + 3 - 3 to the form k + m*j**2 + t*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4515*f**3 + 12*f**2 + 17*f - 12. Let p(n) = 6*n + 12. Let y be p(0). Let u be t(y). What is u rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 32*u**2 + 7*u. Let s(d) = -11*d**2 - 2*d. Suppose -8 = 2*q + 4*x, 16 = -19*q + 21*q - 4*x. Give q*a(m) + 7*s(m).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/7)\/((-159)\/(-2968)). Solve g*u - 15 = 139*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 2*g**2 + 2*g + 3. Let o be q(-2). Is 11 a factor of (o - 3)\/((-8)\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 25*f. Let o(g) = 5*g. Let z(v) = -5*o(v) - s(v). Let b(r) be the third derivative of r**4 + r**3\/2 + 7*r**2. Give b(z(n)).\nAnswer: -48*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f - 15. Let d be (-2)\/((14 + -4)\/5). Let n be (11\/4*4)\/d. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 920*o. Let w(d) = 5 - 1582*d - 5 - 1589*d + 3172*d. Give l(w(r)).\nAnswer: 920*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 35*d + 11. Let u(z) = z**2 - 14*z + 5. Let f(k) = -3*c(k) + 7*u(k). Let h(l) = 2*l**2 + 8*l + 2. Calculate 4*f(v) - 3*h(v).\nAnswer: -2*v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 15. Suppose 5*v - 3*s - 883 = 2055, -s - 1762 = -u*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464.175 rounded to the nearest ten?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 69. Let d = k - -27. Let j = -3379\/9 - -375. Sort 0.5, d, j in descending order.\nAnswer: 0.5, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -92161*o - 829686. Give b(-9).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7676 (base 9) in base 14?\nAnswer: 20c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -124 - 189\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l, -4*l + 219 - 2851 = -2*g. What are the prime factors of g?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -9) + (-4 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b - 26. Let l be p(15). Let q(r) = -145*r + l - 91*r - 98. Is q(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 5*r**8\/84 - 2*r**4\/3 - 3*r**2 - 16*r. Let k(m) be the first derivative of q(m). Find the second derivative of k(p) wrt p.\nAnswer: 400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*a - 353 - 192 = 105 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-566*k - 101*k**2 + 566*k)*(-10 + 11 + 14)*(-8*k - k - k).\nAnswer: 15150*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (4 + -9) - -3. Suppose 68 = r*n + 5. Let a = 9 - n. Solve d + d = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71731 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 = -0.15 + 6.15. Let o = -5 + k. Let l = 1 + o. Put -0.1, l, -2\/11 in descending order.\nAnswer: l, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 7. Let j(v) = v**2 + 2*v + 1. Let f be j(-3). Calculate the remainder when 3*(8 + 26\/(-6)) is divided by q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0*n - 1\/60*n**5 + 1\/2*n**3 - n**2 - 1\/6*n**4 + 0. Let d be w(-3). Solve -b = -2 + d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2281*p + 2 + 4 - 6845*p + 2278*p + 1 + 2287*p.\nAnswer: p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21959 + 40660. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44103 - (33 - -12)\/15. Round v to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/17)\/q**(-29)*(q\/q**(-31))**(28\/3) assuming q is positive.\nAnswer: q**(16714\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13021 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: Is 37 a factor of 14245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -251*u**2. Let m(r) = -959*r. What is m(f(x))?\nAnswer: 240709*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**8\/168 + m**6\/120 + 4*m**3\/3 - 2*m. Let h(s) be the second derivative of v(s). Find the third derivative of h(d) wrt d.\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31.029? (a) -1 (b) 0.1 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 2*p - 4694 + 4703, -y - 5*p = -24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -273 in -4, -1\/3, -7, -4633?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 428 + 178 - 246 = 0. Calculate the greatest common divisor of 10602 and j.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5928458873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*w + w + 1, 4*w + 2*p = 10. Suppose -l + 4 = l. Let f = 30123 + -30123. Solve -w*k - l*s = f, 6*s = -4*k + 3*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.363258 minutes?\nAnswer: 441795480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, -192313, 0 in descending order.\nAnswer: 0, -126, -192313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:30 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 4. Let l be -1*5*4\/10. Let c be (28 - -2) + (l - -1). Suppose q + c = -5*b + 1, -5*q + 10 = -5*b. What is k(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*w + 12. Let p be (4\/w)\/((-12)\/(-54)). Solve -2 + 3 = -3*b + 2*s, p*b - 9 = -3*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(4\/3)*g**(2\/15)*((g\/(g\/g**4))\/g)\/((g*g**(2\/15))\/g) assuming g is positive.\nAnswer: g**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c59 + -10b?\nAnswer: -8d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60850 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 54*y - 920. Give c(27).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5072 and 2219?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 times 0.03?\nAnswer: 0.0723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171381031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 517 + -360. Suppose t = f + 36. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 194 - 577 + 197 + 187.\nAnswer: 14*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38545?\nAnswer: 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 196 = -0*v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8 - 2*k - 6*k + 9*k. Let l be v(-5). Let d = 1.8 - 2. Sort 0.4, l, d in ascending order.\nAnswer: d, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*n - 18. Let s = 1540 + -1544. What are the prime factors of -14*(21*s\/n - -3)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2318268 = -3*z - 833729, -2*z - 9455998 = -3*b. What is b rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99369.2 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*j = 0, -6*c + 2*c + j + 15 = 0. Suppose 4*f = -4*v + 4, -2*v + 0*v + c*f = -22. Let i(z) = 9 + 1 - z - 6 - v. What is i(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52818, 52819, 52820, 52821, 52822?\n\"Answer: s + 52817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.45 - -1665.\nAnswer: 1660.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -1)*(-3)\/(-9). Suppose 0 = -p - i - i + 1, -f*p + 7 = -i. Let q be (-7)\/((-105)\/(-36)) + p. What is the nearest to 0 in -4, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -4 + 3 + 0. Solve 5*g + d - 8 = v, 0 = -g - d + 2*d + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 10. Let l be q(-5). What is the greatest common divisor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 56 = -158. Solve 2*l - x*l + 8 = -3*i, -4*l - i = 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1149*a - 1060*a - 1351*a + 262615 = 1395*a for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50276 take away -1.79?\nAnswer: -50274.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/(-324) - (551\/9)\/(-1). Let o = 61 - u. Factor -2\/15*l + o*l**2 + 2\/15*l**3 + 0.\nAnswer: 2*l*(l - 1)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -79, -68, -41, 8, 85, 196, 347?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11469 + -3485. Suppose 17*d = n - 674. List the prime factors of d.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23760\/(-6750)*20\/16.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -862 by 431.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011110 - -1000111000000010?\nAnswer: 1000111110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6054 by 6.\nAnswer: -1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13795251 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7876 and -453?\nAnswer: 3567828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.0279?\nAnswer: 0.1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 13*k - 25619 = -d, -3*k = -d + 25651. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5987990*a**2 + 16*a - 586510453 wrt a?\nAnswer: 11975980*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -8 (c) -0.4 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*o**3 - 13*o**4 + 17*o**3 - 13*o**4 + (2*o + o - o)*(-2*o**3 - 3 + 3).\nAnswer: -30*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-40)\/(-15))\/((-44)\/54) and 61\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4499132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20450*g = 20452*g - 3*s, 2*g + 4*g - 27*s = -3*g + 17 + 37 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1718 + -2928. Let i = 405\/58 + -1343\/319. What is the common denominator of i and (-32)\/(-304) - v\/57?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*2)\/(sqrt(99)\/sqrt(225)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 213 = 5*g, 5*c - 67 - 87 = -4*g. Let d = -79 + g. Let y = -24 - d. Calculate the lowest common multiple of y and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 905*s**2 + 465*s**3 + 907*s**2 + 2*s**4 - 4*s - 464*s**3 to d + x*s**4 + f*s**3 + t*s + o*s**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**2 - 8. Let b(o) = -o**2 - 4*o + 33. Let n be b(-8). Let w(r) = -r**2 - 1. What is n*l(j) - 12*w(j)?\nAnswer: 2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1 (b) 0.1 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/14 and -20\/11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - d + 1. Let k(t) = -44*t**2 + 4*t - 16. Let n(q) = k(q) - 20*z(q). Determine m so that n(m) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 6*n - 4.\nAnswer: -2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/7976 and 43\/3988?\nAnswer: 7976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 12:59 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2515401 by 2.\nAnswer: 2515401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*o**2 - 497441*o + 5821823.\nAnswer: 20*o - 497441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + -128?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141535 (base 6) to base 12.\nAnswer: 78ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1\/u*u**6*(u\/(u*u**(2\/5)))**(-9\/8) assuming u is positive.\nAnswer: u**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 86*v - 4679. Determine m(53).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1530\/19 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -0.0291\nAnswer: -3.0291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -6)*12033\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76808605*j**4 + j**3 + 2*j**2 + 236479075*j.\nAnswer: -921703260*j**2 + 6*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsisszjjzjsszssiesi. Give prob of sequence eiz.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3008070*k**3 - k**2 + 44*k - 28127.\nAnswer: -18048420*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 5. Put w, 1, -15, -1 in increasing order.\nAnswer: -15, w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 246 = -26*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 1) + (-1)\/(-4 + 1). Let n = 15.9 - 14. Let q = n + -2.9. What is the closest to q in s, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 606, 1213, 1820?\n\"Answer: 607*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -29. What is the closest to y in -3, 2\/5, -2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p - 2. Suppose 2*u - 86 = 4*t, 10*u = -4*t + 5*u - 65. Let h = -14 - t. What is the least common multiple of h and o(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiikiiiiiiii. Give prob of sequence iik.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15874*g - 94856. What is m(6)?\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10454 + -24425?\nAnswer: -13531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -323, -5, 1, 32, -2, -20, 4 in decreasing order.\nAnswer: 32, 4, 1, -2, -5, -20, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56807 + -3635555\/64. What is the common denominator of j and 23\/80?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 27. Let i be 4\/u - 173189880\/(-33). Suppose l = -i - 11651822. Round l to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 80*f - 285.\nAnswer: 5*(f - 19)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4.1. What is the nearest to 1\/7 in 3\/4, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 + 12*y - 1. What is the remainder when d(-5) is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2414 - -2438. Calculate the remainder when 357 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - j - 3. Let s be a(2). Let p = 12 - s. Suppose 4*g = g - 3*c + 51, 83 = p*g + 3*c. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000623581 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/88)\/((-26)\/2080*10).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-8)\/14)\/(-1))\/(-2). Let y = 1.7 - -0.3. Let h = -224 + 668\/3. Which is the closest to y? (a) s (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -344795268 and 3.\nAnswer: -344795265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 46. Suppose 2*f - r - 18 = 0, 5*r - 9*r + 8 = 2*f. Let n be 12\/f*(-368)\/(-12). Is u greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**(-2\/5)*p))\/p)**6*(p**1)**30)**(2\/13))**(-2\/111) assuming p is positive.\nAnswer: p**(-176\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5284.01 - 5284. Let r = -432\/5 + 86. What is the third biggest value in r, o, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 67 = -87*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.5, -17\/5, 1.8, 6\/13?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 114, -0.2, 1\/2, -0.04?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -5*i**4\/12 - 2*i**2. Let l(a) = 4825*a**2 - 2452*a**2 - 2354*a**2. Determine l(s(f)).\nAnswer: 1900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*y - 1365 = -116*y - 9125 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c. Suppose -125 = 5*m + 35. Let k be m\/(-18) + 6\/27. What is the units digit of w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 31*d + 3. Determine m(4).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21999, 43986, 65961, 87918, 109851?\n\"Answer: -r**3 + 21994*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 421 * -3.\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27123, 27102, 27081, 27060, 27039?\n\"Answer: -21*g + 27144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 26 + 0*h**3 + 25 - 4*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 423 in 0, -0.4, -0.5, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 41. Calculate the greatest common divisor of x and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/3)*u)\/u**(-22)*(u**(-1\/13))**(-2\/3) assuming u is positive.\nAnswer: u**(330\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4. Let d(b) = b + 4. Let x(s) = 4*a(s) - 5*d(s). Let q(m) = 3*m**3 - m**2. Calculate the least common multiple of x(-4) and q(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = k - 11, 3*u = 2*k + u - 14. Suppose -f + 3*y = -79, -5*f + k*y + 362 = 2*y. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2540 divided by 508\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*s**3 + 7)*(-15*s**2 - 9*s**2 + 5*s**2) + 6*s + 3*s**5 - 6*s.\nAnswer: -54*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 60 = 18*n - 14*n, -4*n + 60 = -4*u. Solve 3*t - 2*d + n = 0, -3*d = 4*t - 5*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6437281315 to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -5*c**3\/3 - 294*c - 6. Let w(l) = 6*l**2 + 2*l**2 - 3*l**2. What is w(d(k))?\nAnswer: 500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3\/3 - c**2\/2 - c - 4. Let z(p) = -p**2 + p + 2. What is -2*b(j) - z(j)?\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8146089.\nAnswer: 3, 7, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 o when three letters picked without replacement from {o: 3, d: 6, r: 2, i: 2, z: 2, b: 2}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.5 (c) -24 (d) 13 (e) 8 (f) -1\/522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -367\/4 - -478\/5. Calculate the common denominator of 2*1 - 3\/((-48)\/(-202)) and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 31*k**2 - k - 27. Let u = -13 - 18. Give m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 684 = 3*r + 852, -r = -g + 384. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1023, 1620, 2175, 2670, 3087, 3408, 3615, 3690?\nAnswer: 3615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) -3 (c) 180\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - ((sqrt(2) + -3*sqrt(2))*-6 + sqrt(2)) - (sqrt(32) - sqrt(800)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164450.\nAnswer: 2, 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 107941046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*s**3 + 140*s**3 - 276*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 6, w: 12}. What is prob of sequence wpwp?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 - 2*t. Let m(s) = 6*s**2 - 3*s + 1. Let o(g) = 5*f(g) - 4*m(g). Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63136 (base 9) to base 11\nAnswer: -2933a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkvkv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115242025 (base 6) to base 15.\nAnswer: -2db012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42989279101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*-1*sqrt(136))\/(sqrt(8) + sqrt(24)\/(2*sqrt(3)))*-2.\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000000000111001101 (base 2) to base 3\nAnswer: 111100020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/6)*s*s*s**(-2\/5)\/s*s)\/(s\/(s\/s**1)*s**(-1\/5)*s))**(-3\/13) assuming s is positive.\nAnswer: s**(-29\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85306, 84818, 84332, 83848?\nAnswer: 83366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by 1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0042 + -0.2224. Let i = -14.78 + 15. Let o = b + i. Round o to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 10 - 12*t - 1\/9*t**3 + 2*t**2. Factor g(u).\nAnswer: -(u - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50\/10 - (2 + -343)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5125820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4102828903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -0.3. Let h = 6 - 54. Let g = h - -48. What is the closest to m in 6, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 7*v + 8. Let u be d(5). Let t = 13 - u. Let b = t - 14. Is 2\/25 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 + 19*p - 44. Let d be x(4). Find the first derivative of -m - m + 262 - d*m**3 + 12*m - m + 0*m wrt m.\nAnswer: -48*m**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/360 + 226\/15. Let q(w) = 9*w - 130. Let n be q(j). Solve n*p = 2*c + 3, 2*c = -2*p - 0 + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/9 bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 12*m**2 - 12*m. Determine n(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 - 997*a - 16905. Calculate j(-147).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30.48 (b) -2\/3 (c) 0.2 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*p + 2680, j = -3*p + 2947 + 1078. Is 122 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 4. Let u be l(3). Let x = 37 + u. Calculate the greatest common factor of x and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 75. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 4*c + 12, -q + 12 = 4*c. Suppose q*x + 18 = -6*x. Is 50 - (0\/3 + x) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) 9464 (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -833497 rounded to the nearest one thousand?\nAnswer: -833000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116559?\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18495779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 21 = 5. Let f(m) = -9*m + 3. Let a(w) = -10*w + 4. Determine u*f(l) + 3*a(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -125989843 take away 5?\nAnswer: -125989848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q**5 - 14*q**4 + 2*q**3 + 8*q**2 - 2. Let z(g) = g**4 - g**3 - 1. Let i(v) = -t(v) + 2*z(v). Solve i(b) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013673 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1400\/840*36\/130.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450364139.\nAnswer: 3, 7, 23021653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((4 - 1) + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = 2*j - 2*s, 0 = j - 5*s + 14. Solve 0 = -4*m - 0*m + p - j, p = 3*m + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 210 = -2*x - 2*q, -2*q = 0. Let s = -48 - x. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9999888*t**3 - 239291856 wrt t?\nAnswer: -29999664*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42180 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 30*j**2 + 30*j + 13. What are the prime factors of i(-12)?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 5) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 20*l - 3 = x, 0 = -3*l - x - 4. Find the common denominator of (2\/(-12))\/((-1)\/43) and 1540\/630*l\/(7\/(-12)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38472 divided by 2\nAnswer: 19236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1331143*s. Let h(t) = -3*t**2. Calculate h(w(v)).\nAnswer: -5315825059347*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*m = 57, k - 5*m - 209386 = -209298 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4 - j**3 + 483*j + 3*j**2 - 483*j. Suppose -3*c + 9 = -0. What are the prime factors of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 12*s + 651. Give r(-47).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -581 + 591. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x + 570 = 0. Let g be (-2)\/1*(-9)\/6. Suppose g*c = 3*m + x, 3*m = c - 35 - 9. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86739048 and 2376?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 7) to base 3\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1049000 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from mmmdbmkmrdmdmsmr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q, 5*o - 69696205 = -5*q. Let v = o + -279246221\/20. Let a = v + 23075. Find the common denominator of 121\/10 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2\/(-6))\/(5\/14775))\/1. Let a = -210 - b. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594307 is divided by 10426?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(3\/8)))*s)\/(s*s**(-14)) assuming s is positive.\nAnswer: s**(117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-2\/3)*c))\/(c\/(c**(-25)*c))*((c\/(c**9\/c))\/c)\/(c*c**(-2)*c))**(1\/7) assuming c is positive.\nAnswer: c**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15)\/d*d**(-3))**16\/((d\/((d*d**(-1))\/d))**(1\/2)\/(d**(2\/7)*d)**(-7\/2)) assuming d is positive.\nAnswer: d**(-2021\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/(1 - 4) + 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21*c**3 + c**2 - 1. Let u be b(1). Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(1*sqrt(4)) + (-1 + sqrt(2))*2)**2*5 + -3*sqrt(48)\/sqrt(6)*3.\nAnswer: -78*sqrt(2) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - p - 2 + (-1 - 3 + 2)*(3*p - 4*p + 2*p))*(-146*p + 302*p - 154*p - 23) as i + h*p + c*p**2 and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/60)\/((-18)\/16). Let l = -7.6 - -7. Which is the third biggest value? (a) l (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6135 and 15?\nAnswer: 6135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646 a factor of 30525070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19\/3, 1\/5, -3\/20.\nAnswer: -19\/3, -1, -3\/20, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -19022952000 to the nearest 1000000.\nAnswer: -19023000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 579, 520?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7324008 a multiple of 2476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10828 is divided by 221?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.44 (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4130.\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960070.\nAnswer: 2, 5, 7, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**4\/12 + 17*g**3\/6 + 4*g**2 - 23*g. Is l(8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-102)*(-22)\/495*-27?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -58, 1\/4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15 + 15 - 2*w. Let t(h) = 4*h**2 - 2*h - 32. Let y(g) = 12*g**2 - 9*g - 128. Let v(j) = 4*t(j) - y(j). Give q(v(k)).\nAnswer: -8*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(10\/9)*w\/w**(-7\/3)*w)**(-40) assuming w is positive.\nAnswer: w**(-1520\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 691, 1368, 2045?\n\"Answer: 677*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 60 = -5*h. Suppose h*l - 5*l = l. Suppose 3*f + 3*f - 654 = l. What are the prime factors of f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -135\/2. Let b = 771\/1064 + -45\/152. What is the closest to -0.2 in o, b, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31065 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 996*g - 32580.\nAnswer: 3*(g - 30)*(g + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 4. Let x(j) = -2*j**2 + 3*j + 5. Let q be x(4). Let n = -11 - q. Calculate p(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/106792884 and -93\/26510.\nAnswer: 533964420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 + 1 - -2. Let j be 1\/(-4) - (-17)\/y. Sort -4, j, 0.\nAnswer: -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:59 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:30 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**8\/(v**(3\/5)*v**(-2)) assuming v is positive.\nAnswer: v**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 19*z + 9. Suppose -4 = m - 3*l + 3, -z*m = -l - 19. Solve 2*t - m + 0 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 + h - 2. Give o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 9*s = -19*s - 144 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6058002 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96996505 is divided by 8234.\nAnswer: 8219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkkkkkmpxxkxxpxkx. Give prob of picking 1 m and 2 p.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0822, 102, 1\/3?\nAnswer: -0.0822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**2 + 7*r**3 - 7*r**2 - r**2 wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 27973241 in ascending order.\nAnswer: 0, 5, 27973241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4*33331\/(-1). Let t = w - 8284. Let l = t - 49. Which is the nearest to l? (a) 4 (b) 0 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-6) - -1)\/(2\/(-4)))\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)\/u**3)\/(u**2)**0)**(1\/27) assuming u is positive.\nAnswer: u**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8669 + 8668.999994824. Round c to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8098 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -2\/23, 1.36, 2\/13?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 99 + 25. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6700 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 + 15*k - 20. Let m be q(6). Calculate the remainder when 98 is divided by (-1*(-306)\/15)\/(m\/(-95)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + b**3 - 2*b**2 + 2*b**2.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9475 or 47376\/5?\nAnswer: 9475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(0*j**3 - 4*j**3 - j**3) - j**3 + 3*j - 3*j + (3*j**2 - 3*j**2 + 2*j**2)*(0*j + 0*j - j) to the form c*j**2 + q*j**3 + r + o*j and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = -82*w + 82. Let h be (1 - -1)\/((-87)\/(-1)). Let u = -269\/348 + h. What is the smallest value in w, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33266 = -9*w + 59371. List the prime factors of w.\nAnswer: 3, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:32 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Let i = -21.14 - -21.54. What is the closest to 2 in c, i, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 167 + 677. Calculate the greatest common divisor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/5*(-45)\/6. Suppose -6*x + c = -3*x. What is h in h**5 - h**5 - 3*h**5 - 6*h**3 + x*h**5 - 4*h**4 - 4*h**2 - h = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 - 3088*o + 1191968 = 0.\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 42. Let j(n) = -n**3 - 2*n**2 + 5*n + 7. Let l be j(v). Is 660 + (-1 + l)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.145235669 to five decimal places.\nAnswer: 0.14524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 3*p + 24*p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -3)\/(-4)*2. Let g(b) = 2*b + 15. Calculate g(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3544 - 350932\/99. Calculate the common denominator of -107\/132 and c.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 3*l)*(0*l + 0*l + 2*l) - 34 + 34 - 4*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-30))\/((-1)\/(-2)). What is the hundreds digit of -1*w - (30 + -194)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -23032*p + 636. List the prime factors of i(-2).\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*f - 35. Does 9 divide 6\/f - (-1274)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from rqqtttdttjq?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8625 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - 2*q**4 + (-4*q**2 - 5*q**2 + 4*q**2)*(3 + 2*q**2 - 3) - 2*q**4 + 12*q**3 + 3*q**2 - q**2 - 11*q**3 + (q**2 - q**2 + 3*q**3)*(2 + q - 2).\nAnswer: -11*q**4 + q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -6 + 0 + (-7 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12221406 is divided by 6316.\nAnswer: 6262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/15 + 3362*b**2\/15 - 92944*b\/3 + 5596472\/5 = 0. Calculate b.\nAnswer: 74, 1533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -153. What is the common denominator of (415\/80)\/(5\/4) and (1 + 52\/r + 0)*6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/(7\/119)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 16*c**2 + 8290*c - 66316. Determine u(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053322 rounded to six decimal places?\nAnswer: 0.000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118993, -119254, -119515, -119776?\nAnswer: -120037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*4.22185\nAnswer: -1.68874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/9 + (-14)\/(-3). Let u(q) = -q - 9. Let c be u(0). Let h(n) = -2*n**2 + 9*n - 9. Let i(j) = -j**2 + 4*j - 4. What is c*i(l) + y*h(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 25. Solve a = b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2673)*1)\/sqrt(3))**2 + 2.\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/33 + -109\/165. Which is the nearest to p? (a) -5 (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u - 13. Suppose 3*p + 4*r - 2 = 0, -19*p - r = -18*p. Determine b(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 4 - 5\/2*u**2 - u. Differentiate i(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358703951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h + 4. Let x be r(-3). Suppose -123498 = 299*m - 123797. Let l(q) = -q - 2. Let f be l(-5). Put m, x, f, 7 in decreasing order.\nAnswer: 7, f, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 9:46 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2871 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11896781739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddlwlwdflf. Give prob of sequence wddl.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 3*b = -5*s - 182, -93 = -s - 2*b. What is the highest common factor of 153 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1082 + -10773\/10. What is the common denominator of q and 29\/1155?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -15.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65 plus -0.0434287?\nAnswer: 0.6065713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 + 7*q + 27. Let n be u(-2). Which is the closest to n? (a) 3 (b) 2\/11 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.727, -0.6, -320, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -89*y + 0*y**2 - 1\/12*y**4 + 0 + 6*y**5 - 215\/6*y**3. Find the second derivative of n(i) wrt i.\nAnswer: 720*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375231 (base 8) in base 15?\nAnswer: 2865e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17)*-1 + -1.\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 1. Suppose -2*f + 0 = -5*m - 3, 4*m - 3*f + 1 = 0. Let t(v) = -7. Give m*t(z) + 7*b(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5275.877ml?\nAnswer: 5.275877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24252 - 24248. What is the remainder when 1084 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - 4 - (-1 + (7 - 0))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:24 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2470311 by -91493.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o + 1. Let w = -0.946071 + -0.053929. Which is the nearest to 2\/9? (a) w (b) o (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1, -40192?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 1885?\nAnswer: 9425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 1\/360*o**6 + 1\/6*o**3 + 0 - o - 1\/12*o**4 + 0*o**2 + 0*o**5. Let a(s) be the second derivative of k(s). Calculate a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -34. Suppose 0 = 7*t - 12 - l. What is the remainder when (-30 + 0)*(-3)\/9 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 21484974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1640*x - 3280*x + 1641*x + 10 + 32 = 12*p - 15*p, 4*x - p = -12 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 2*y - 4, -n - y = 4. Let w(j) = -j. Let o be w(-4). Suppose -o*b = -7 + 15. What is the closest to 0 in 5, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1\/2, -29454878?\nAnswer: -29454878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1179 and 2439.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31205029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 1.3741.\nAnswer: -3.6259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*n - 14. Let j(z) = 2*z - 2. Determine j(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(1573) + 0 + 5)**2*3.\nAnswer: 594*sqrt(13) + 4967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 13 = 5*m, 24 = 5*f + m + 3*m. Solve -f*t + 8*t + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = s - 3*c, 0 = -3*s + c + 1. Suppose -2*o + 0 = -2, s = h + 2*o. Suppose -2*x + 6 = h, -5*i = -8*i - x + 27. Solve 3*u = u + i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5846.\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 7*t - 121. Let z be s(15). Let m = 12 + -8. Let w be (-6)\/m + 8570\/5740. Do w and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 - 2*d + 1. Let u be a(1). Let c = 31 + -29. Sort u, -3, c in ascending order.\nAnswer: u, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -162*m + 22518. Give s(139).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15331 + 15331 + 228*v)*(5 - 3 + 0)*(0 + 2 + 0) as d + t*v and give t.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45056.4 meters?\nAnswer: 45056400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -20124 - 24706. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*p = -24*p - 1500 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*d, -2*q = -5*d + q. Suppose d = -13*s - 9*s - 132. Let i(g) = -g**3 - 5*g**2 + 8*g + 9. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + z - 1, 3*z + 2*z + 23 = 4*t. Let k(a) = 0*a**t - 11429 - 2*a + 2*a**2 + 11433. Give k(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -913977 divided by 101553?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 458 + -102. Let h = -254 + f. List the prime factors of h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 + 4*n + 5. Let l = 7 - 11. Calculate the remainder when d(l) is divided by (4\/(-10) - (-4473)\/420) + (-10)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 c, and 2 w when four letters picked without replacement from {c: 5, n: 1, w: 11}.\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 7. What are the prime factors of k(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2138 = 4*l + 4*p - 438, -1944 = -3*l + p. Let f = 1471 - l. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 103\/15 - 4\/(-30). Let q(h) = 9 - 15*h - 15*h + 42*h - 13*h. Determine q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.4045 + -0.1345. Let d = -0.27 + g. Let x = -13 + d. What is the third smallest value in x, -9\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 609 and 6612319?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49b5 - 0?\nAnswer: -49b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1355 + -1259. Which is the second biggest value? (a) h (b) 2\/7 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107073410.\nAnswer: 2, 5, 10707341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4 = -212*x + 204*x, 3*v + 6 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 38 - 52348*m**3 + 52338*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/2 - 3)*(-59 - 2225). Is 1142 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/8 + -7\/24. Which is the closest to -2\/7? (a) 0 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + x**2 + 2*x + 2. What is w(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 216 = -186 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*0.32.\nAnswer: -0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*98\/42?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 93*w**3 - 17*w**2 - 17. Let r(v) = -3 - 47059*v**2 - 3 + 47053*v**2 + 31*v**3. Determine -6*k(o) + 17*r(o).\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(2 - 4 + 0)*(4*z + 4*z + 0*z).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 68*b**2 - 124*b + 60.\nAnswer: -4*(b - 15)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62480474 and 29596014.\nAnswer: 562324266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let d(j) = -j**2 - 13. Calculate d(u(m)).\nAnswer: -m**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 224627 or -1\/5?\nAnswer: 224627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 259926001 and 259926001 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/290 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 p when four letters picked without replacement from {m: 5, p: 14}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + t = 4*t + 38, o = 2*t + 17. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 11*d. Let y(q) = -8*q - 65. Calculate b(y(o)).\nAnswer: -64*o**2 - 1128*o - 4940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 64815101441\nAnswer: -64815101444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c - 918 = 32*c. Solve 5*j + c = -4*x, j - 2 = 2*x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 - 1001*l**4 + 4079*l**2.\nAnswer: -240*l**3 - 24024*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(112)*4 + sqrt(112)) + -2*sqrt(112)*1 + -5)*-4)**2*-4.\nAnswer: -2073152 - 43520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4336.644 grams in kilograms?\nAnswer: 4.336644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 70 + 128 - 29 - 97.\nAnswer: r - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 33*g**2 + 34*g + 5. Suppose -q - 5*u = 2*q - 77, -2*q = 5*u - 43. Let x be n(q). Solve -2*r + 4*h = 18, 0*h = -5*r - x*h + 30 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76157 - 4569311\/60. Find the common denominator of -29\/8 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 432482 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 217.7066 (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/16*-1*68\/(-255))\/((-1)\/17)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, -172, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3740 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.3682 - 9.47. Let h = s - -0.12. Round h to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.6551 to one dp.\nAnswer: 163.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37596588?\nAnswer: 2, 3, 17, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.029 - 83.519. Let d = r + 67. Round d to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 8*t - 6. Let v be m(-8). Let s = -4 - v. Find the second derivative of -k**3 + 4*k - s*k + 3*k**3 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16)\/(((-252)\/16)\/(-9)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17646903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 6. Let d be v(8). Let j(y) = -y**2 - 11*y + 11. Let c be j(d). List the prime factors of 180\/c + 3\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 47*t + 115. What is the tens digit of f(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 32 - 114 = -43. Suppose -p - 3*p = 3*v - 61, -3*p = -v + 3. Solve 2*i + v = -g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1718095 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/4 in -1\/26, 0.06, -0.5, 0.039?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 39. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/1820)\/((-4)\/26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2522\/15 + 168. Let j(s) = -2*s + 24. Let r be j(10). Let t be 0 - (r\/(-5))\/((-4)\/(-10)). Sort t, 1\/4, o, 4 in ascending order.\nAnswer: o, 1\/4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (13 + -37 + 13 + -24)) + -6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192.4 rounded to the nearest ten?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/78 and 22\/735?\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 7*o = 18. Suppose 4*f = 0, -2*z + 4*z + o*f - 632 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-51)\/4)\/((-9)\/48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = 0, k = -2*k + 4*a + 4. Solve -k*o = -i - 16, 2 = 5*o - 4*i - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -78. Suppose 20 = -4*x - 0*x, -5*x - n = b. Solve 2*m - b = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(3)*2*-2)\/(sqrt(90)\/sqrt(2) - sqrt(405))*-4*4.\nAnswer: -32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1041.4 - 1016.4. Let t = 6.56041 - 31.56397. Let g = t + x. What is g rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 0)*(6 - 2 - 3)*(-5 - 1 + 4)*(-2 + 3 - 2)*(-224*w + 166 - 166) as y + t*w and give t.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1182 + -1181.9. Let c be (-18)\/(-8) + (-15)\/(-20). What is the closest to 4 in -0.2, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = 3*h + 12, -5*h - 4*f = -7. Let j be 21\/(-7) - (h - (1 - -1)). Suppose 3*m - 184 + 37 = j. What is the remainder when m is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185663 and 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.056 - 2.644. Let s = -0.254 + 0.454. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 223*t - 137?\nAnswer: 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 17*k + 78. What is l(11)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1211, -1206, -1201, -1196, -1191, -1186?\n\"Answer: 5*o - 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 2*l - 2*l**2 + 3. Let x(j) = -4 - 1 + 6*j**2 - 3*j**2. Suppose 0 = 5*t - 3*s, 5*s + 2 = -t + 6*s. Calculate t*x(u) + 5*h(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (328\/410)\/(3\/(-15)*14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 91?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 18424\nAnswer: -41\/18424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 2*a - 4. Let n(y) = -y**3 - 5*y**2 - 3*y - 1. Let f be n(-4). Let g be x(f). Let j be g\/(-24)*(-3)\/(-2). Which is bigger: -5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 11*c + 5*y - 2, -2*c + y - 10 = 0. Let h be 3\/(1\/((-8)\/(-6))). Suppose -2*d = -3*d + 3. Sort c, d, h.\nAnswer: c, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 1:52 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2180428, -4360852, -6541278, -8721706, -10902136, -13082568, -15263002?\n\"Answer: -n**2 - 2180421*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.04 (c) 5 (d) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010001111 (base 2) in base 12?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpp when three letters picked without replacement from {p: 4, v: 5, b: 4, m: 1, f: 1, g: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 87026.7us?\nAnswer: 87026700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385283310 a multiple of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 + 0.4. Let g = 0.23 + j. Let t = g - -0.03. What is the third smallest value in -0.5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107500 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2877858 by 2.\nAnswer: -1438929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6672 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26251?\nAnswer: 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*b**(1\/2)*(b*b\/b**1)**(-5\/13))**(-8) assuming b is positive.\nAnswer: b**(68\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 2. Let l be (77\/(-14) + 3)*24\/(-10). Calculate h(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feef when four letters picked without replacement from fkezyhef.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133\/611 - 3\/47. Let d = -2 + -1. Let p = d + 2. What is the nearest to 1 in p, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5398 - 5398.1. Let x = -4.7 - -5. What is the closest to n in 2, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -68.22479.\nAnswer: 47.757353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + 2 + -7 - -7) + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 997.5309 kilometers?\nAnswer: 997530.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 3*y**2 + 5*y. Let n(h) be the second derivative of h**5\/20 - h**4\/12 - h**3\/6 - 7*h. Let g(a) = -2*n(a) - 2*z(a). Factor g(t).\nAnswer: 4*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**5\/5 + i**4\/4 + 5*i**3\/3 + 3*i**2\/2 - 126. Factor c(l).\nAnswer: -l*(l - 3)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -951 + 973. What is the smallest common multiple of a and 722?\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 32 = a + 3*a, 4*o = -a + 73. Let s = -10 + o. Suppose -s = r - 5*r. Solve -r*i + 0*i = -5*k - 4, k = -5*i + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 459.8 - 391. Let k = -76 + i. Let q = k + 7. Which is the nearest to 2? (a) q (b) 2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603 = -4*x - 3*c + 581, 2*x + 5*c = -4 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328754.264 rounded to the nearest 100?\nAnswer: 1328800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + q + 2*q + (2*q - 6*q + 3*q)*(3 + 0 + 0).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/1)\/(-8 - -5). Let l = q + 2. What is the third derivative of -2*y**2 + 27*y**3 + 3*y**l - 22*y**3 wrt y?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -6. Let o be 26\/168 + (-2)\/x. What is the second biggest value in o, 3\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0*4\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + 8600?\nAnswer: 8565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14368223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z*z**(-3))\/(z**(2\/7))**11 assuming z is positive.\nAnswer: z**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 6*f**4 - 3*f**4 - f**3 + f**4 + f**3 + (-4*f + 3*f + 0*f)*(-2*f**3 + f**2 - f**2) + f**4 - f**4 + f**4 + 8289*f**2 - 8289*f**2 - 7253*f**4.\nAnswer: -7247*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*y - 19. Suppose y + 6 = 2*k. Put -5, k, 3 in decreasing order.\nAnswer: k, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337896907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 1 = -7*b. Is (6\/3)\/(b\/(-12)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 10*r**2 + r - 5. Let i be k(10). Suppose i*f = 4*l + 36, -4 + 10 = f - 2*l. Calculate the remainder when 101 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**3 + 4*v**2 - 10. Let t(c) = -7*c**3 - 3*c**2 + 9. Suppose 533*r = x + 528*r + 22, -4*x + 5*r - 43 = 0. What is x*t(y) - 6*f(y)?\nAnswer: y**3 - 3*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 611 - 583. Calculate the smallest common multiple of c and 92.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412613988 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: Let u(z) = -33*z**2 + 724*z + 41. Let v be u(22). What is the smallest value in v, 4\/73, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443451 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1621312784 to the nearest integer?\nAnswer: 40266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w - 51. Let n be j(8). Suppose 3*r = 195 + n. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, t: 1, g: 7, f: 6}. Give prob of picking 1 g and 1 d.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -1\/3 (c) 1\/5 (d) -1279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/1)\/4)\/(-26*32\/(-4992))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 8. Let s = 82 + -86. Let m be h(s). Suppose 5*d - 3*q + 5*q - 895 = m, 5*d - 3*q - 870 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -3, 0, 0.022, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 2, u: 1, y: 2, k: 1, b: 1}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2133\/395 - (-2)\/(-5). Let v = -20 + 21. Suppose 34 = -7*l - v. Put -2, d, 1, l in descending order.\nAnswer: d, 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205261 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-1))\/(7\/(-14)). Suppose r*b = -b + 5. Solve 1 + b = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*u - 1, 3*u - 6*u = -q + 11. Let t be ((24 - -3) + 0)\/1. Let d = t - q. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 3*p + 175. Determine s(0).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10111 + -10?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 33 = 36*p - 33*p, -4*s = p - 27 - 42 - 41 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.5 (c) 7 (d) -2\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in months?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1730 = -4*r + 5*u, -3*r + 3*u + 1821 - 525 = 0. Let g = r + 1103. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6565367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2 - 90729738*s = 0.\nAnswer: 0, 45364869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l**2 - 6377 - 6372 - 6370 + 19119 - 18*l**2.\nAnswer: -74*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -12 - (-1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -66. What is the units digit of 46 - i\/((-1)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 13\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2284*x - 2. Let f(z) = 2284*z - 3. Give -6*d(a) + 4*f(a).\nAnswer: -4568*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 5*o**2 - 2*o + 3. Let v be f(-3). Let r = v - -38. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3915 is divided by 974?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34683223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -162 - 3873?\nAnswer: -3a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/30030 and -107\/18?\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-18)\/(-36) + (-1)\/(-2)). Suppose h = 2*y + 3*a - 16, 5*y - 5*a = 10*y - 30. Solve -5*f + 3*f = -4*z + 4, 0 = y*z - 2*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5 = -3*y. What is the units digit of 6\/(-2) + (y - -17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -49*p**4\/12 + 116*p**3\/3 + p - 746. What is the second derivative of k(w) wrt w?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b**3 - 88*b**2 + 251*b + 6. Let o(g) = -155*g**3 + 795*g**2 - 2260*g - 55. Let d(m) = -55*h(m) - 6*o(m). Factor d(q).\nAnswer: -5*q*(q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/17345260 and 27\/220.\nAnswer: 190797860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/20 + x**4\/2 - 5*x**3\/3 - 9*x**2\/2 + 9*x. Let g be o(-7). What is the greatest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115160032 to the power of 1\/2, to the nearest integer?\nAnswer: 10731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - 301*c + 6462. Give z(17).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70233168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3*(-42)\/49. What is the closest to 0 in -0.2, y, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*b - w, -5*b = 22*w - 27*w - 35. Let s(m) be the second derivative of -10*m**3 - 1\/4*m**5 + b*m + 0 - 20*m**2 - 5\/2*m**4. Factor s(a).\nAnswer: -5*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from nnebnnnebnenbntnnnnn?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r - 4 = 0. Let q = 5 + -1. Let d be (10\/q + 0)*14\/(-7). Put r, d, 0 in descending order.\nAnswer: 0, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2 (c) -91 (d) 1\/5 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1758 + 434. Is z a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -28*j**3 - 11*j**2 + 11*j - 1. What is d(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/6 + 4*r**2 - 27*r + 66. Let y(c) be the first derivative of p(c). Determine y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-0.63975.\nAnswer: -0.1343475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32984 and 47831.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658 and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 554127373 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 424*c**2 + 44592*c + 1742. What is j(-193)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2286552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3857059135 + 0.3\nAnswer: 3857059135.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 3. Let c = 30 - 37. What is the tens digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3140 - -1497. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, m: 2, p: 5}. What is prob of picking 1 p and 1 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f - f**2 + 2 - 3*f + 0*f. Let u be i(14). Let m = -119 - u. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/29 (b) -4 (c) -18 (d) 0.4 (e) -3 (f) 1\/4 (g) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -0*s. Let b = -21 + 20.1. Let i = -1.1 - b. What is the nearest to 1 in i, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/9, 10, 98, 7\/13?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056381 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1444*o + 8828 + 36388 + 21305 + 4235 = 0 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 18*b - 265 = -2*c, -c = 1. Let q = b - 83. Solve -q*n + 4*n + 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbbqbqqqqqbqqbbqq?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohfjkokxkjfjxhj. Give prob of sequence kxjo.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -202, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23655 (base 12) to base 9\nAnswer: -72242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232*a**3 + 109 with respect to a.\nAnswer: 696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - l)*(4*l + 0 + 0)*(1439 + 54*l - 1439).\nAnswer: -216*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5796 divided by -120615?\nAnswer: -1932\/40205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0 + 0*k - 1\/16*k**4 - 5*k**2 - 1\/120*k**5 - 1\/6*k**3. Factor f(m).\nAnswer: -(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -7540 (b) -0.5 (c) -3\/5 (d) 1 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4637*i - 142. Let a(d) = d. Determine a(w(j)).\nAnswer: -4637*j - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/7 + 8*v**2\/7 + 96*v\/7.\nAnswer: -4*v*(v - 6)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 715, 2, 994, -4 in descending order.\nAnswer: 994, 715, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) -10\/19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 5) in base 14?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, 3 in ascending order.\nAnswer: -8, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by 180.\nAnswer: 38\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-72)\/9)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437904 and 14112?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-249)\/166)\/(-1*3\/(-34)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 + 6*k - 4. Let j be (-12)\/16*16\/(-24)*-2. Let z(t) = t - 1. Give j*g(p) + 6*z(p).\nAnswer: 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1594214.8289 + 7471.\nAnswer: 1601685.8289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 3*b - 2 + 5*b)*(-b**4 - 3*b**4 + 5*b**4).\nAnswer: -2*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/6 - 7*a**2\/3 - a\/6 + 7\/3 = 0. What is a?\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Let g = b + -1. Suppose -g*q + 2*h + 36 = 0, -16 = 3*q - 3*h - 49. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.11358, -0.2, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (16 - -17) - -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 109 + -88 + -37 - (1 + -37)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/4 - 40815*d\/4 + 20407\/2 = 0. Calculate d.\nAnswer: 1, 40814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-233425)\/(-3) + (121\/33 - 3). Suppose 9*v = -8*v + d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -206, -392, -566, -722, -854, -956, -1022?\n\"Answer: d**3 - 193*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.02 (b) 0.05 (c) -0.2 (d) -2 (e) 11 (f) -65\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 5. Let m be 0\/j*(-1)\/(-2). Suppose 5*c + 0*c - 105 = m. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 129\/(-4) - (-1)\/4. Let n be 26\/(-14) - -2 - 7668\/(-126). Let u = i + n. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z - 40 = -5*k, -3*k + 4*z = -20. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 9*s - 12*s - 9840, 0 = 2*s. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a + 7*a + 7*a + 1066 - 16330 - 11*a**3.\nAnswer: -11*a**3 - 15264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1978679.1000001 + -1978679. Let h = -0.1 + p. What is h rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 0)\/(-1)*15\/(-40). Is f at most as big as 8\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25839\/10 - 2581. Let j(b) = 70*b - 2. Let z be j(2). Let v = z + -978\/7. Find the common denominator of g and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 110 - 26?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 19. Suppose -4*d - 4*b = -v, 3*b - 14 = 5*d - 52. Let i = -5 + d. What is the remainder when 5 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**3\/6 - 3*y. Let g be 0\/(-2) + 2\/1. Let n(v) = 1 - 5*v**g - 1 + 4*v**2. Give n(k(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:31 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 195\/553?\nAnswer: 195\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -p + 17, 0 = -0*c + 4*c - 2*p - 14. Let z(a) = 67*a - 54. What are the prime factors of z(c)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d + 4. Let j(q) = -20*q. What is j(g(w))?\nAnswer: 120*w - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/1 - (-372)\/504.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*d = 1 + 32, 5*d - 145 = -5*a. Solve 2*u - a = 7*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03904 * -849\nAnswer: 33.14496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i. Let q(l) = 11*l + 4. Let x(a) = q(a) + 2*t(a). Calculate x(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/362 and 5\/2688.\nAnswer: 486528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/8 - 36764379*g\/8 - 36764373\/4.\nAnswer: -3*(g + 2)*(g + 12254791)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2711*v**4 + 3*v**2 + 267*v?\nAnswer: -65064*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 10. Let h(y) = y - 11. Let s(f) = -3*h(f) + 2*q(f). Let m be s(11). Solve -m*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10754322*i**2 + 3000230 with respect to i.\nAnswer: 21508644*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10950 (b) 0.09 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -0*v + 2*v + 16, 1 = 3*i - 5*v - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93745 is divided by 46830?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000250?\nAnswer: 2, 5, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313802.\nAnswer: 2, 3, 7, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309530 is divided by 867.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 - 1615\/(-68))\/((-6)\/(-4)). What is the closest to j in 2, -2\/3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-7)\/f)\/f*f**5)**(-43)*(f**(2\/3))**39*f**(-5\/4)\/f*f*f*f\/(f*f*f\/(f\/f**(-2\/7))*f) assuming f is positive.\nAnswer: f**(4285\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 15*k - 8. Let f = -3665 - -3651. Give w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 + c**2 - 6. Let r(x) = 1. Calculate 2*r(z) + y(z).\nAnswer: 4*z**3 + z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543578096 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 407?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2361786 or 25979634\/11?\nAnswer: 2361786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -191776626 and 3432.1?\nAnswer: 191780058.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000077345 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c. Let b(t) = -25*t. Let f(y) = -b(y) - 3*r(y). Let k(h) = 7*h**2. Calculate f(k(v)).\nAnswer: 259*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1180367)\/(-10) - (-29)\/(-2030)*-21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/344085 and -37\/319725.\nAnswer: 36128925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z = -17*z + 34338. Solve z*b + 72 = 594*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -154*q + 137*q + 68 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*c)*(-73 + 73 - 4*c**3) - 2*c**4 - 3*c**4 + 2*c**4.\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2382?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/49 and -113\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16283237 to the nearest integer?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 46 - 10 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 1272*w**3 - 42452*w**2 - 289752*w + 759424 = 0.\nAnswer: -17, -16, 2, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*c + 14 = 2*b, -5*b - 2*c = -26. Suppose -b = 2*k, k + 8 = 5*n + 2*k. Find the first derivative of -f**3 - 4*f**2 + 4*f**2 - n wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3302 (base 4) to base 12.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.202 - 0.002. Let h = m - 7. Sort 0.4, -4, h in ascending order.\nAnswer: -4, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -2\/11 in increasing order.\nAnswer: -0.2, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-7 - -17) + -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 48.\nAnswer: 23\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3051.769693 + 6\nAnswer: 3057.769693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/17)\/t**(2\/23))**(-16) assuming t is positive.\nAnswer: t**(2752\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 34776 and 1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -24848?\nAnswer: 24848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7112*a + 696973. Determine c(98).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 985372.5l in millilitres?\nAnswer: 985372500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71348836?\nAnswer: 2, 13, 67, 20479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let n(b) = -7500*b**2. What is p(n(r))?\nAnswer: -37500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*n + 1 = 0, 4*n = 2*n + 2. Suppose 0 = 5*v - 3*g - g + 10, -2*v = h*g + 32. Let c = -3 - v. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 232, 390, 612, 898, 1248?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u - 5*u + 0*u + 6*u. Let t(m) be the second derivative of 2*m**3 + 795*m. Calculate 56*c(r) - 4*t(r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 112331 (base 4) to base 9\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -190*s**2 + 960*s**2 + 425*s**3 - 1285*s**5 - 160*s + 1290*s**5 - 1120 + 80*s**4 = 0.\nAnswer: -7, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 102?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 1. Let m(w) = -w + 1. Suppose 3*c - 20 = -4*q, 16 = 5*c - 4*q + 2*q. Suppose -x + c = 10. What is x*j(n) + 5*m(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(((-7)\/1400)\/((-129)\/11008*16)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-18 - -39)) + 66.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 68*m**3 + 30*m**3 + 31*m**3 - 358*m**3 + 102*m**3.\nAnswer: -127*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000596 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/86, 8925, -1\/7?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by -4\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v*v**(4\/9))**18*v**3*v**(-1\/3)*v\/v**(-6)*v*v**2 assuming v is positive.\nAnswer: v**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 5*z + 6. Let t(i) = -4*i**3 - i**2 + 4*i - 3. Let a be t(1). Let y be h(a). Solve 0 = y*q - 2, 2*q = -4*v - 5 - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15) + (-42)\/140.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 2. Let p be b(0). Let r be 0\/7 + p + 5. Let h(v) = 4*v - 2 - 21*v + v**r - 5*v**2 + 11*v. What is h(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*z - 95*z + 6*o - 7831, 2*z - 3158 = 4*o. Calculate the remainder when z is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + 40. Let h be v\/276*(-1 + 0 + 2). Let u = -22 - -131\/6. What is the closest to -1 in u, -4, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -89158.\nAnswer: 89158.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -62, -88, -134, -206?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(51\/9 - 6). Solve g*o - 4*h + 0 - 6 = 0, -2*o = -h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -19. Calculate the remainder when 55 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -59, 3, 10.\nAnswer: -59, 3, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 - 4272*s + 162171 = 0.\nAnswer: -1461, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9 (b) 5 (c) -4 (d) 4 (e) -4\/3 (f) -5\/4 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 28 = 0. Suppose -5*t + 1 = -5*u + 21, 0 = -4*u + 2*t + 14. Solve -u*g = -x*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(208))*-4*-2.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 3:53 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*r + 2 = r, -5*r = -3*x - 8. Let y(j) = -5*j**2 - j + 2*j + 8*j**2. Give y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14880032 by 6.\nAnswer: -7440016\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 divided by -5?\nAnswer: -283\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - 247*g - 191. Give l(-61).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01119221 to 4 dps.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19469*q - 7*q**3 + 19469*q.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(39)*1)\/(sqrt(108) - 3*sqrt(108)) + (sqrt(117) + -2*sqrt(117)*-6)\/(-5*1*sqrt(9)).\nAnswer: -83*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i - 5*a + 40, a = 4*i - 7. Suppose -5*p = -3*g - 66, g = -5*p + i*g + 64. Solve -2*j - p = x, 2*x + 3*x - 5 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 3*f**3 - 2*f**3 + 6*f - 5*f**2 - f**2. Let c be s(6). Let t be (-202)\/4 + 12\/c. Round t to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45811812 and 22905906.\nAnswer: 45811812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t**3 + 6*t**2 + t**4 + 0*t**3 + 11*t**3 as o*t**2 + l*t + c*t**4 + i*t**3 + g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10)**(44\/7) assuming c is positive.\nAnswer: c**(440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 145 = 3*t + 45, -p - 4 = 0. Suppose t - 12 = -2*j. Let n = 19 + j. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 9) to base 10\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from qqqiiqiqqqqqqq?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 2 = 4*f. Suppose -8 = -4*q - f*b, -2 = 8*q - 6*q + 5*b. Suppose 44 = q*m - 15*m. What is the second smallest value in 5, 1\/4, m, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 480\/79 (b) -10 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8688024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-8))\/(-5) - (-2)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 1\/6*t**4 + 0*t**6 + 55\/6*t**3 - 129*t + 0 + 0*t**2 + 62\/21*t**7 + 0*t**5. What is the third derivative of g(k) wrt k?\nAnswer: 7440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3997+0.29\nAnswer: -3996.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177029, -177025, -177021, -177017, -177013, -177009?\nAnswer: -177005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -27158000 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:57 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 98 + 22. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h + 4. Suppose b = 2*b. Let n be j(b). Suppose 1107*q - 47 = 1060*q. What is the highest common factor of q and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 109, 249, 447, 703, 1017, 1389?\n\"Answer: 29*y**2 - 5*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/73065823 - -48150361853\/1132812519792. Let k = 1\/304 - s. Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -83*i**3 + 8. Let g(k) = -55*k**3 + 5. Determine -8*g(q) + 5*j(q).\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.13 (c) -4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2923 divided by 5?\nAnswer: -2923\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4515 divided by 645?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0122008775 rounded to 5 decimal places?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -22. Solve -g = -3*p + 4 - 3, -p = a*g - 27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvq when three letters picked without replacement from {l: 4, v: 1, d: 1, q: 1, g: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 29959\nAnswer: -2\/29959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 + 368*h**3 - 134895*h**2\/2.\nAnswer: -h**2*(h - 391)*(h - 345)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1901\/70 - -188\/7. What is the closest to a in 0.1, -3\/8, -0.3, 55?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/(-45) - 2\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 317, 483, 923, 1757, 3105?\nAnswer: 5087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1829, -6896, -11955, -17000, -22025, -27024, -31991, -36920?\n\"Answer: m**3 - 2*m**2 - 5068*m + 3240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166558, 166359, 166160, 165961?\nAnswer: 165762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4259 or -119?\nAnswer: 4259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 202061884 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**6\/105 - 23*w**5\/35 - 6*w**4 - 488*w**3\/21 - 320*w**2\/7 + 1129*w. Solve x(s) = 0 for s.\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0*t + 0 - 11\/70*t**6 - 2\/21*t**5 + 207*t**2 + 5\/588*t**8 + 0*t**4 - 12\/245*t**7 + 0*t**3. Suppose o(l) = 0. Calculate l.\nAnswer: -1, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122572.\nAnswer: 2, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 - 2*x**2 + 3*x**2)*(-12 + 12 + 8*x) + (-2*x**2 + 0*x**2 + 4*x**2)*(x + 0 + 0) as o*x + p*x**2 + b*x**3 + l and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1965\/2 - 4025\/4. Find the common denominator of m and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 5*j - 1. Let y be t(4). Is (-33)\/(-1) - (-1 + y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 14) to base 3.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2 - 26*l - 17. Give v(-13).\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + c**2 + 1. Let k(u) = -5*u**3 + 6*u**2 - u - 5. Let l(m) = 6*a(m) - k(m). Calculate the remainder when 54 is divided by l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 28. Let i = -32 + z. Let p = 20.04 + i. Round p to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-192)\/40)\/(-6)*1. Let v = 189 + -187. Solve -16\/5*b - f*b**3 + 6\/5 + 14\/5*b**v = 0 for b.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423575 - -2804?\nAnswer: -1420771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1)*f)*f)\/f)**(-41))**(11\/6)*f\/((f\/(f\/(f\/(f*f**(-5)))))\/f)*f*f**(-1\/2)*((f**(-2\/5)\/f)\/f)**(-16) assuming f is positive.\nAnswer: f**(-589\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 2*v + 30. Let m be ((-2)\/(-4))\/((-4)\/(-3 + 5)). What is the second smallest value in v, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1\/5, -0.4, -52139, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 123\/(-6)*9*615\/(-738)*4\/(-15)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1054 and -8081.\nAnswer: -851.7374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -203*d + 193*d. Put d, -4, 0.5 in ascending order.\nAnswer: -4, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -499 + 475.3. Let f = 0.3 - h. Let c be ((2 + -2)\/9)\/1. Is c not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 18, -0.24 in descending order.\nAnswer: 18, 2\/9, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 24. Let m = -61 - -57.3. Let u = m + -0.3. Which is the third smallest value? (a) -0.2 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 20. Calculate the remainder when x(-33) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 22?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53808?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15972622417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z**4 + 2*z**3 + 0*z**4 - 8*z**4 + z**2 as k*z + p*z**4 + u*z**2 + h*z**3 + g and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 375 + -370. Calculate the remainder when 70 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. What is the derivative of 5 - 4*s + 4*s - m*s**3 wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105899 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: What is prob of picking 1 a, 1 p, 1 q, and 1 i when four letters picked without replacement from qttigipa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5052369 is divided by 15838.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 27 = 5*d, 4*d = 2*x + 6*d + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17390669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 - 1)*(3 - 4 - 1) - 1 - 1 + 4)*(4*p**3 - 6*p**3 - 34*p**3) to the form u + q*p + j*p**2 + x*p**3 and give x.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -71*w. Let u(x) be the first derivative of -x**5\/15 + 11*x**2 + 143. Let m(v) be the second derivative of u(v). Determine c(m(r)).\nAnswer: 284*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157085, -157086, -157087, -157088, -157089, -157090?\nAnswer: -157091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 18 = -5*h. Suppose 11*o = -5*v + 13*o - 2, -o = 3*v - h. Factor 0*c + v - 1\/6*c**3 - 1\/2*c**2.\nAnswer: -c**2*(c + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdbn when four letters picked without replacement from {y: 5, d: 3, b: 5, w: 2, z: 1, n: 4}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llljljllljllllllll. What is prob of sequence jjj?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.493099 rounded to three dps?\nAnswer: 0.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -3181c4?\nAnswer: 3181c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5 (base 12) to base 11.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/3 + 187922*i\/3 + 8828669521\/3 = 0. What is i?\nAnswer: -93961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24774 + 35677. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m - 5*m + 34*m**3 + (-23*m + 23*m - 28*m**2)*(3*m - m - 4*m) - 2*m**3 + 7*m**3 - 3*m**3.\nAnswer: 92*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 24 = 2*l - 3, -94 = -4*i - l. Let d = i - 8. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (-119 + 318 - 78).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13668*z - 31*z**3 - 13668*z.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 516965.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12411552 (base 6) to base 12\nAnswer: -176bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*b**3 + 0 + 0 - 118*b**3.\nAnswer: -643*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vjvjxjjvj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-20))\/((-5)\/180*14)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.5, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/504 and -23\/693.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12.03, 4740, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 79 - 13. Let u = 22 - 19. Suppose 2*a + 149 = u*k - 2*a, -4*a = 4*k - 236. Calculate the highest common factor of w and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 29 (b) 3 (c) -2\/31919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus -2271621113?\nAnswer: -2271621112.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2477 times -265\nAnswer: 65.6405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {j: 1, i: 3, f: 4, z: 1, e: 5}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*f - 44*f - 216 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:00 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 7:22 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 - 1967220*t**2 - 19672425*t - 49181250 = 0.\nAnswer: -5, 655750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 11*n**2 - 9*n - 6. Let b(s) = -s**3 + 6*s**2 + 6*s + 16. Suppose 14*c - 9*c - 35 = 0. Let h be b(c). Is r(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + 7 + 4. Let w = o - 21. Find the common denominator of 1\/(-8)*(-76 - w) and 109\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129834 + -90137. Suppose -6*b = -2*b + 8, -4*b + w = 3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000 divided by -5\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 209*b**3 - 3*b**2 + 311*b - 10. Let t(x) = -209*x**3 + 4*x**2 - 310*x + 12. Let u(r) = 6*d(r) + 5*t(r). What is the third derivative of u(l) wrt l?\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = 3*g - 5*c, -2*g + 5*c = -1. Let p be ((-2)\/g)\/(3\/(-12)). Find the common denominator of -101*(-4)\/8*p and -15\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 + 68. Suppose 0 = -3*r - 3*l - 75, 2*l = 4*r + 112. Let t = r - a. Solve 4*w = -w - 5*h - 30, t*h = -4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280538 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 365.3 + -363. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*m**3 + h*m**2 + 2*h + 2*m**5 + 26*m**4 + 3*m**2 wrt m?\nAnswer: -12*h + 120*m**2 + 624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*16\/20. Let x(r) = 4 - 4 - d*r. Let p(t) = t**2 + 2. Let w(f) = 4*f**2 + 7. Let s(l) = -7*p(l) + 2*w(l). Give s(x(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -81. Suppose 5*p + 708 = 4*y + v*p, 4*y + 2*p - 708 = 0. Suppose y + 147 = 6*i. Calculate the greatest common factor of 36 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n - 19*n**5 - 4*n + 6*n + 7*n wrt n.\nAnswer: -380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*u + 92 = 0, 5*j = 3*u - 0*u - 148. Let p = 31 + j. Solve -12 = 4*h, 2*h = w + p*w + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 + 4. Let c(k) = k**2 - 17*k + 19. Suppose -s + 75 = 4*s. Let d be c(s). Let b = d + 11. Calculate o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 2*o**2 - 7*o**2 + o**2 + 5*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 859677 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/120 + x**5\/12 + 7*x**4\/12 - 13*x**3\/2 - 65*x**2. Let j be r(6). Solve 2*w = -2*y - 18, 5*y + j + 1 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from {c: 3, q: 2, i: 4, m: 4, b: 1, t: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97987435 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -616.1 + 641. Let i = 36 - c. What is i rounded to 1 dp?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38758103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 - 150. Is b*(-1)\/(-28)*18053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - -4) + -3)*(-2)\/((-104)\/(-3)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 + 4 = 0. Suppose 0 = 5*l - 203 - 67. Suppose 55*p = l*p + 5. Sort p, 4, j in descending order.\nAnswer: p, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6046 = 339*s - 76*s - 2101 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 5 (c) 10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(1258 + 2) - (-13)\/210?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + -380891?\nAnswer: -380907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 8. Sort -4, l, 0 in increasing order.\nAnswer: -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1850 and 58\/25?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r. Let k(x) = -7*x. Let g = 183 + -170. Calculate g*h(i) - 6*k(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let n(c) = 3*c - 13. Let r(a) = -n(a) - 6*x(a). What is the lowest common multiple of 18 and r(5)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-40) + 8134\/(-1540) + 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48360 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*u = 16, 66*u - 16 = 4*x + 70*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f = -102 + 30. Let h(n) = -2*n**3 + 3*n**2 + 2*n - 2. Calculate the smallest common multiple of 20 and h(f).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004 - 7341674.\nAnswer: -7341674.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 - 5)*(19*z + 22*z - 21*z) as y + o*z and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 3\/(3\/4). Let v = -5 - g. Solve -s + v = -4*y, s = 5*s - y + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 562*b**2 + 861. Let g(d) = -565*d**2 - 861. Let j(i) = -6*c(i) - 5*g(i). What is the derivative of j(x) wrt x?\nAnswer: -1094*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = 4*r + 60, 4*f + r - 75 = 0. Suppose 5*s - 3*s + 4*v + 20 = 0, 4*v = -5*s - f. Suppose -19 = -3*m + 5*t, 3*m - 5 = -2*t - s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -1\/29 in decreasing order.\nAnswer: 4, -1\/29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/(-16)*(8 + -4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 0.04, 1\/6 in descending order.\nAnswer: 10, 5, 1\/6, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - -13) + -6 - (2 + 128)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2759 in -3, 6, -0.3, 3\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155363 and 189601?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*n + 32 = -0*n, 5*n = -3*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -943, -1887, -2831, -3775?\n\"Answer: -944*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + z - 7 = -24, 4*z = 5*g - 41. Let k = 6 + g. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*r**4 + r**2?\nAnswer: -1032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721781775 a multiple of 8640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 211406 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 22 - (-128 + 146)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + f + 0*f**2 + 4*f**2)*(1 + 3 - 5)*(-138*f - 208*f + 28*f)*(0*f**2 + 3*f**2 + 3*f**2) + f**5 + 1 - 1.\nAnswer: 1909*f**5 + 1908*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28994372, -28994375, -28994392, -28994429, -28994492, -28994587, -28994720?\n\"Answer: -v**3 - v**2 + 7*v - 28994377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1575 and 325080.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139660953*t**3 - 1373*t**2 - 17173?\nAnswer: -837965718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3456)*1)\/(-1*sqrt(128)*2))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/845 or -2\/7?\nAnswer: 2\/845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by -6.\nAnswer: 136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -67*w - 4007. Determine t(-53).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5990*a**3 + 344*a + 2 wrt a?\nAnswer: -35940*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 75. Calculate the lowest common multiple of 5 and r(-10).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*p = 2*f + 50, 2*f - 3*p = -50. Let n be f + (2 + -4)*9\/6. Let l = n + 56. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**2 + 8*f - 21. Let n(u) = 4*u**2 + 5*u - 14. Let l(c) = c**3 + 25*c**2 - 4*c - 8. Let d be l(0). What is d*n(x) + 5*h(x)?\nAnswer: -2*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 3. Let n(q) = 16*q + 12. Let s(l) = -4*n(l) + 18*p(l). Let u(i) be the first derivative of -23*i**2\/2 - 17*i - 1. Determine 17*s(x) + 6*u(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 151 + 23*v - 26 + 333 - 155.\nAnswer: 24*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807959*l - 1807962*l = -3*i + 3 - 0, 3*l + 7 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 2*c - 7*c. Calculate the lowest common multiple of 3\/(-2)*c\/12 and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.190405mg?\nAnswer: 5190.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c - 4. Let b be o(-6). Let d = b - -12. What is the third derivative of -2*a**3 + a**2 - d*a**4 + 3*a**2 + 2*a**3 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16171711 and 0.2.\nAnswer: -3234342.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 4. Calculate the smallest common multiple of 18 and 12 - (b + -2)*-2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - 25 - -2) + (-4 - -45).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - -237) + (-48 - -29) + -25.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3 - (3 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10) - (sqrt(10) - (sqrt(10) + sqrt(160)))*-4).\nAnswer: -sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 9*z - 12*z - 12 = 0, -3*k + 2*z + 11 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 + 14*v**2 - 57*v + 199. Determine o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p + 44 + 82 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*c = 2*w - 42, 0 = w + 2*c - 18. Let n be (-2)\/((w\/(-75))\/1). Find the first derivative of -3 + 11 + 11 - n*q - 2 wrt q.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 16. Let m(i) = 3*i - 17. Let b(q) = 4*a(q) - 3*m(q). Let z(k) = -2*k**3 + 32*k**2 - 31*k + 15. Let j be z(15). Calculate b(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from fsflllllflfsfsfffsff?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(sqrt(176) + 1 + sqrt(176))**2 + (sqrt(176) + 0 + sqrt(176))**2*4.\nAnswer: 80*sqrt(11) + 6346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337500626?\nAnswer: 2, 17, 9926489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1791405 and -67\/7305210.\nAnswer: 562501170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**2\/2 - 1. Let f be j(-4). What is the third derivative of -2*u**5 - 2*u**f - u**2 + 2*u**4 wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1172 (base 8) to base 14\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 19600.\nAnswer: -11\/9800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2150066*h**2 + 25602*h - 4267. Let r(t) = -3024*t**2 - 36*t + 6. Give 6*p(w) + 4267*r(w).\nAnswer: -3012*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 3. Suppose -3*f + 4*p = -27, p + 4 - 11 = -2*f. Does 8 divide o(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -72\/161525 and 75\/1612.\nAnswer: 20029100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054216352?\nAnswer: 2, 7, 29, 162287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1284091, -1284085, -1284079, -1284073?\n\"Answer: 6*w - 1284097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) -7697 (b) 1\/3 (c) 1\/2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 8000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*-4 + ((-56)\/(-4))\/7. Let d(b) = -11*b - 20. Give d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 600 - 600.05. What is the second smallest value in u, -23, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 22 = -8. Let v = -248 + 254. Find the third derivative of n*u - v*u**2 + 8*u**4 - 10*u wrt u.\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.9 - -34. Let d = -12 - -11.7. What is the nearest to x in 35, -1\/6, d?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2, -73, 5 in increasing order.\nAnswer: -73, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2071.2 and -63?\nAnswer: 130485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 1. Let d be -202*r\/(-2) - 1. Round d to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + (141 - 112 - (5 - -9))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*s + 28 = 0. Suppose 2*c + 2*q - 42 = 0, 96 = 3*c + 2*c - 4*q. Sort s, -1, 0, c in increasing order.\nAnswer: -1, 0, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - 2) + 4)\/(-1). Which is smaller: w or 10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnnns. Give prob of picking 3 n and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2193264, 2193326, 2193388?\n\"Answer: 62*m + 2193202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.65 + 10.05. What is the smallest value in z, 4, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Let z(d) = 1 - 5483*d - 5433*d + 10867*d. What is z(w(y))?\nAnswer: 98*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12941, -3, -13?\nAnswer: 12941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -77*q**3 + 16*q**2 + 76*q + 35. List the prime factors of s(-6).\nAnswer: 16787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25827 - 25685. What is the remainder when 536 is divided by p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5)\/(21*18\/756)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22774738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 0.2, 10, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Suppose -20*o = -28*o + 32. Solve -p = -z*t + t, o*t = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(5\/2)*k)\/((k*(k**(2\/11)\/k)\/k)\/k))\/((k\/((k**(-13)*k)\/k*k))\/(k*k*k*k\/k**0)) assuming k is positive.\nAnswer: k**(-59\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 48. Let x = 570 + -557. What is the third derivative of 94*w - n*w - 46*w - x*w**3 + 10*w**2 wrt w?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgt when three letters picked without replacement from tggfcmgtgft.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (494\/(-260))\/19*-880.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141610 and 514080.\nAnswer: 61175520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 2566958.\nAnswer: 21\/1283479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**8\/6720 - l**6\/1440 + l**3\/3 + l**2. Let s(i) be the first derivative of o(i). Determine k, given that s(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -f + 1, -f = 2*f + 5*z + 17. Let j be f\/6*225\/(-6). Let b = j + -126\/5. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -74*c + 35. Let g be b(-4). Let m = g - 328. Solve -m*v = -15 - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117288\/159642*(15 - 1)\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-468)\/(-24))\/(2\/4). Let g be (-3)\/5 - z\/60. What is the second smallest value in g, 2, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 3. Let s be m(6). Let y = s - 5. Suppose -10 - y = -2*w. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 1, y: 12}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 + 5*p - 5. Let q(g) be the third derivative of g**6\/60 - 3*g**5\/20 + g**4\/3 - 4*g**3\/3 + 6*g**2 - 5*g. Determine -5*q(a) + 8*z(a).\nAnswer: -2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-7) + (-6)\/21. Suppose -v = -2*v + t. Does 12 divide 328\/28 + 2\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 29224.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*q**2*s*u**2 - 39*q**2*s*u - 3*q*s*u**2 + q*s + 3*q*u**2 + q*u wrt u?\nAnswer: -56*q**2*s - 6*q*s + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p + 23 + 0 + 2*p + 5*p to the form z + x*p and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35430, 69172, 102914, 136656?\nAnswer: 170398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in months?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 + 2*k + 4. Let c(a) = 3*a**3 - 16*a**2 - 8*a + 4311. Calculate -c(x) - 4*w(x).\nAnswer: x**3 - 4327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2789 + -8366\/3. What is the third smallest value in 0.3, 4, u, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**4\/12 + 27*q - 26. Let m(p) be the third derivative of 7*p**5\/10 + p**4\/24 - p**2. Calculate l(m(z)).\nAnswer: -1764*z**4 - 84*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -14. Let r = -71.2 - -71. Sort r, 1\/3, q, -0.1 in descending order.\nAnswer: 1\/3, -0.1, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627570 is divided by 69703?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - -63?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 3)*(2*w - 2*w + 3*w**2 + (-4*w + 2*w + 0*w)*(-w + 0*w - 2*w)).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823 is divided by 1721.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3 + 27*a**2\/2 - 29*a. What is the first derivative of i(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) 9 (c) 2 (d) 11 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:52 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*h**2 + 8*h**3 + 40*h**3 - 57*h**2 - 19*h**3.\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.349 to one dp.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*z + 3*x, 4*x - 5 - 2 = -z. Suppose 4*g = z + 25. Let w = g - -1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31104 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jie when three letters picked without replacement from {j: 1, i: 1, e: 1, k: 1, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/5)\/((-4)\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (-27)\/6 + (10 - (9 - -2)). Let b = 3 + -9. Let n = b - -1. Is n equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 20*g**2 + 53*g - 651. Let i be x(19). Suppose -7*p = -4*d - 2*p - 6, -2*d = 3*p - 8. Sort 12, i, d in increasing order.\nAnswer: i, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - z - z)*((2*z**2 - z + z)*(0 - 1 + 2) + 6*z**2 + 0*z**2 + z**2 + (2*z - z + z)*(3*z - z - z)) as d*z**2 + k*z**3 + y*z + l and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 225 = -5*o, 4*p - o + 5*o - 300 = 0. Suppose -p = 6*t - 9*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*j**3 + 197 - 197)*(-1 + 0 + 2) + 0*j**3 - 2*j**3 + j**3 + (-j**2 - j**2 + 0*j**2)*(-j + 4 - 4) + 11*j**3 + 17*j**3 - 17*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 158\/(2*(4 + -3)\/5). Suppose d + 133 = 4*h. What is the greatest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 2*y + 2. Let i be o(-3). Let k = i - -6. Factor z**4 + 4*z**3 - 6*z + 2*z**5 - 2*z**4 + 2 - k*z**4 + 4*z**2.\nAnswer: 2*(z - 1)**4*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 + g - 3. Let j be a(5). Suppose -3*b + 94 = l, j*b = -2*b + 2*l + 142. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-19656)\/140)\/39.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*r + 490343 - 2610363, 2*r = 3*y - 3180010. What is y rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -497, -511, -533, -563?\n\"Answer: -4*h**2 - 2*h - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1157 + 284?\nAnswer: 13db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 + 670*l - 1272. Let r(o) = 5*o**2 - 675*o + 1270. Let u(p) = 5*g(p) + 4*r(p). Factor u(a).\nAnswer: -5*(a - 128)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (806\/(-210) + 4)*6426\/5187. Let l = x + -1\/1729. Factor -2\/5*d - l*d**2 - 1\/5.\nAnswer: -(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/13 + (20605\/2219 - 5\/(-7))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233642508 by 77880836.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 496187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.150106t in milligrams?\nAnswer: 2150106000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/(60\/(-8))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by (8\/(-18) - 23989\/(-414))\/((-4)\/(-8))?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 0. Let w(b) = -b + 5. Let o(k) = k - 5. Let z(d) = f*w(d) - 2*o(d). Let l(i) = i - 2. Let m(t) = 9*l(t) - 4*z(t). Determine m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.986 - -0.486. What is the closest to 0.14 in 1\/3, o, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21262576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, 0.1, 4 in decreasing order.\nAnswer: 4, 0.1, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3442044 (base 5) to base 13\nAnswer: 22399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810535.\nAnswer: 5, 362107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -34, 1, 149, 0, 15 in decreasing order.\nAnswer: 149, 15, 1, 0, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2684 times 1?\nAnswer: -2684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 238*q**2 - 17*q - 17. Let r(c) = -68*c**2 + 5*c + 5. Let k(d) = -5*n(d) - 17*r(d). Let i(j) = -2*j. What is i(k(v))?\nAnswer: 68*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 42464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*d + 246*d - 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -16. Let i be 3 - (-4 - (j + 3)). Let f = -38 - -42. Solve -f*k = x + 18, -5*k - i = -4*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 64. Calculate l(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-6))\/(-5) + (-34)\/(-68).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -207?\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(648)\/sqrt(6) + (sqrt(3) - (-1 + sqrt(75))).\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -0*o - 5*o. Let m be (o\/1)\/(4\/14). Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -43. Let p = i + 20. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 1995004*t - 3482535840014.\nAnswer: -2*(t + 3491257)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(114) - ((sqrt(114) - sqrt(114)*-3)*-6 + sqrt(114) + sqrt(114))))\/(sqrt(60)\/(sqrt(30)\/sqrt(3))*-2).\nAnswer: 69*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 3 + 18*b**3 - b + 21923*b**2 + 36*b**3 - 21922*b**2 as k*b + h*b**3 + w*b**2 + g and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/3 + 27454*h\/3 + 188430529\/3 = 0. Calculate h.\nAnswer: -13727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*s - 164*s + 33*n = -80*s - 106, 0 = s + 3*s - 3*n - 37 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v + 15158 - 17147 = -148*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364492786?\nAnswer: 2, 7, 26035199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12101 or -12172?\nAnswer: -12101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59320 is divided by 19663.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33668 divided by -4?\nAnswer: 8417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 - 9*o**2 + 8*o + 15. Suppose -45*w + 8 = -46*w. Is q(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/144 + (-2293)\/(-6). Let x = -271 + w. Calculate the remainder when x is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -0.792149.\nAnswer: 16.635129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a = 98*a + 2090. Are a and -95 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.088, -0.6, 0.162, -1\/8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*m + 2*o - 7 = -85*m, -18 = -5*m + 3*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -15) + (-648 - -710)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 52*k**2 - 53*k**2)*(4*k - 3*k + 3*k).\nAnswer: -4*k**3 - 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 3, c: 2, u: 6}. What is prob of sequence bttt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 8. Let m be k(6). Suppose 6*h = 4*h - m*q, 4*q + 25 = h. Suppose h*a - 306 = -91. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 + 18*n**2 + 27*n = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9954\/5 + 1992. Which is the third smallest value? (a) -1 (b) w (c) -1\/27 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -45. Let w be 1 + 57\/5 - (-10)\/a. Let l(u) = 3*u**3 + u**2 - u + 1. Let m be l(1). Calculate the highest common divisor of w and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1003, 7627, 25735, 61111, 119539, 206803?\n\"Answer: 964*n**3 - 42*n**2 + 2*n + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -373561*x. Let v(u) = 6*u + 2. Determine c(v(l)).\nAnswer: -2241366*l - 747122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 27.462.\nAnswer: -109.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -519\/2 + 260. Let 0 - 50*d**4 - n*d + 15\/2*d**3 + 3*d**2 = 0. Calculate d.\nAnswer: -1\/4, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5843 = 26*h - 21925. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.9878ng to tonnes.\nAnswer: 0.0000000000000159878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100000000110001 (base 2) in base 13?\nAnswer: 171057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2233274, 5, 2, 23 in increasing order.\nAnswer: 2, 5, 23, 2233274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owtttwtwwtwo. What is prob of sequence www?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72*((-21)\/4)\/7. Which is greater: -1\/81 or p?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/((-96)\/(-12)))\/((-30)\/240)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1519*k**2*l**2 + 1442*k*l**2 wrt k?\nAnswer: 3038*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3382871 to the nearest integer?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 2. Suppose -9210*c = -9205*c - 60. Let f(q) = -2*q**3 + 2*q**2 + q. Let n be f(2). Let j = c + n. Calculate a(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36923*p**3 - 12310*p**3 - 12301*p**3 - 12303*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-16) - (636\/(-32) - 1). Calculate the greatest common divisor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297104583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. What is the least common multiple of 5*-2*o\/(-4) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10250*t**3 + 14*t**2 + 4*t - 13 wrt t?\nAnswer: -61500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664733.16us to hours.\nAnswer: 0.0001846481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -0.78, 34 in decreasing order.\nAnswer: 34, -0.78, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-247)\/(-26)*16\/1748.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*b + b - 2*s, -3*s + 12 = b. Let u(o) = o**3 - 20*o**2 - 8*o - 27. List the prime factors of u(b).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.03682?\nAnswer: 0.07364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 6949*r - 104555. What is w(-15)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from rrrrprqrhpprnnhrnr?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 35567.83nm?\nAnswer: 0.00003556783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 209976707 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0459? (a) 1\/3 (b) 1\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 4*t**2 - 162*t - 774. What is a(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 2.5 (c) 0 (d) 19\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x - 4*r = 79*x - 14, 3*r - 13 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**3 + 5*g**3 - 9*g**3 + 15*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23805*t**2 + 1380*t - 20.\nAnswer: -5*(69*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9303*p**3 + 48 + 2*p**2 - 9302*p**3 + 0 to v + j*p**2 + m*p + d*p**3 and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 26\/3*c - 12 + 32\/9*c**2 - 2\/9*c**3 = 0.\nAnswer: -3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (11 + 0 + -15 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/212271045 and 23\/242595480.\nAnswer: 1698168360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*k + 15295, 3*k = 2*z - k - 6104. Let b = z + -15252\/5. Calculate the common denominator of 3 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-9)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -715*j**2 - 2*j + 2*j + 7905 - 3790 + 1918*j**2 wrt j.\nAnswer: 2406*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6655723642 and 61.2.\nAnswer: 6655723703.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13) + 1) + (sqrt(13) - (4 + 1*sqrt(13))))**2 - (-5 + sqrt(52)\/sqrt(4) + -5).\nAnswer: 9*sqrt(13) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665 and 11039?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 345 = -19. What is the remainder when s is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 433892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-336) + 8\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12453003 + -331?\nAnswer: -12453334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -6*a - 28. Let y be -28 + ((-3)\/(-3))\/((-2)\/a). Let t = y + 31. Solve h - 20 = t*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {z: 2, c: 1, p: 1, h: 7, f: 5, q: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605260202?\nAnswer: 2, 302630101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4144? (a) 11 (b) 3\/7 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100202022 - -2002?\nAnswer: -1100200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 50*z - 976. Calculate the remainder when d(21) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = -26. Suppose 2 = -w*l + 20. Sort l, 8, 0 in decreasing order.\nAnswer: 8, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:25 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(1512) - 5*2*sqrt(1512)))\/(3*(sqrt(486) + sqrt(486)*2 + sqrt(486) + (2*sqrt(6) + sqrt(6))*-3)).\nAnswer: -1 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxsxpsxpssnsbsxdsn. Give prob of picking 1 x and 1 b.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220736677 to the nearest integer?\nAnswer: 14857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 divided by -31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 10 - o)*(631*o - 18*o**2 - 631*o - 2) in the form t*o**3 + c*o + v + m*o**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 222131.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + 26. Suppose -4 = -3*q + 2*q. Suppose y + 40 = q*a. Solve n + 4*n = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a\/a**25*a))\/a)\/(a**(1\/18)*a*a)*(a**(-1)*a)\/a**(1\/47) assuming a is positive.\nAnswer: a**(18547\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*a + 14447, -2 = -9*v + 8*v. List the prime factors of a.\nAnswer: 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -2, -3, 90, 3\/5, -1.9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24610 - -11302?\nAnswer: 36112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = -3*z, -5*v - 2*z - 2*z + 5 = 0. Solve 22*c - 22*c**3 + 4 + 25*c**4 + 2*c**5 + 12*c**v - 29*c**2 - 14*c = 0 for c.\nAnswer: -2, -1, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 258505815430.86.\nAnswer: 258505815433.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/(-16) + (90\/(-24) - -4). Let d(h) = -13*h**3 + 5*h**2 + 14*h - 3. What are the prime factors of d(z)?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 6. Let d be n(-7). Let h = d + 42. Suppose -f + h = -0*f. Calculate the remainder when f is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*s + 10 = 2*g, -2*s = g + 10. Sort 4, -1, g in descending order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-2))\/(-5)*(-112)\/(-756).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 + 23*y + 7*y**3 - 2*y**3 + 0*y**3 - 2*y**3 - y**4 in the form q*y**2 + c*y**4 + x + o*y**3 + k*y and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/6 + 6*b**2 - 2*b. Let r be g(12). Solve 0 = 5*d + 4*u + 6, r = 2*d - d - 3*u - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(1377) + sqrt(1377) + sqrt(1377)*2)*-1)**2 - (-3*(sqrt(204) - sqrt(204)*3) - sqrt(204))\/(sqrt(1200) - (sqrt(1200) + sqrt(1200)*-1)).\nAnswer: -sqrt(17)\/2 + 8812800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2786 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -145695 (base 12) in base 9?\nAnswer: -570265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/12 - 5*a**3\/6 - 3*a**2. Let w = 103 + -52. What is the remainder when w is divided by x(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x. Suppose 9*p - 4*p - 330 = x. Let a = -1246 + 1252. What is the greatest common divisor of a and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 5*q + 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.306664 minutes in microseconds?\nAnswer: 18399840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 0 + 5*d - d**3 + 7*d**2 + 4 - 2*d**2. Let r be x(6). Solve -2*m - r*u + 18 = 8, 5*m + 50 = 5*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 12*p + 133. Calculate t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (2 + -6 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12077696.\nAnswer: 2, 157, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/42)\/(3\/12*1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2522.97 from -43.6463.\nAnswer: 2479.3237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.84 - 2.93. What is i rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2380*i**2\/9 + 33704*i\/9 - 9824\/9 = 0.\nAnswer: -1228\/85, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-6) - 14\/21. Solve h + 2 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - 3*l + 0*l)*(0 + 0 - 2)*(-2 + 2 - 1)*(-4 + 3 + 3) in the form b + x*l and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -142 - 12. Suppose m - 2*q + 6*q = 23, i = 5*m + q. Calculate the smallest common multiple of m and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-2)*(-4 - -20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -2*n**2 - 1\/120*n**6 + 1\/15*n**5 + 0*n**4 + 0*n + 0*n**3 + 0. What is z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*h + 12, 3*h + 2*a + 8 = 5*h. Calculate the highest common factor of h and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -u + 3*h, 15*u - 19*h + 76 = 16*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*w = -44 + 37, -4*t = -3*w - 32. Solve 3 = -4*o - c, -10 = t*o + 3*c - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1909 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37530 + 7?\nAnswer: 37537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-20))\/(((-8)\/5)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143310144 (base 5) to base 13.\nAnswer: 207c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734 = -3*r - 3*o - 1270, 670 = -r - 3*o. Is r at least -666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1612 and 64542?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 5167740*u**2 - 1335276835380*u.\nAnswer: -5*u*(u - 516774)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(2 - 1) - (31 - 32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 14 = 86. Sort -5, c, 6, 26 in ascending order.\nAnswer: -5, c, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 0.4, -897, -5, -577?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48082227.844 and 21.\nAnswer: -48082206.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*m + 2*m**2 - 465*m + 1 + 263*m.\nAnswer: 2*m**2 + 124*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2676*c = 1330*c + 30958 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 34*j**2 + 5*j - 31. Determine u(17).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -965, -1954, -2965, -4010, -5101, -6250?\n\"Answer: -2*g**3 + g**2 - 978*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in -4, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -2*f**3 + 4*f**2 + 0*f**4 - 2 + 8*f + 1\/5*f**5. Let h(y) be the first derivative of r(y). Factor h(m).\nAnswer: 4*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 less than 2869254855564?\nAnswer: 2869254855565.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9302 greater than -9300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 120e + 1?\nAnswer: 120f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(7))*-3)**2.\nAnswer: 162*sqrt(7) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 127.2781 from 3.\nAnswer: -124.2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-3)*15\/10*-2. Is 11 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -327, -375, -437, -513?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.6. Let a = -15.8 + 11.8. What is the nearest to -1 in m, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23356, 23812, 24268, 24724, 25180, 25636?\nAnswer: 26092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/6)*(-75)\/(-150)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*c - 105, 4*n + 140 = 23*c - 25*c. Let i(v) = -185*v - 188. Is i(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g + 2. Let d be (-2)\/4 - (-77)\/14. What is the tens digit of l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49\/2*g**3 + 22\/3*g + 7\/3*g**2 + 4\/3.\nAnswer: -(3*g - 2)*(7*g + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/594389 and -16\/131?\nAnswer: 77864959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/2707 - -10873\/13535. Let p = 2 - 3. Sort n, -0.5, p in increasing order.\nAnswer: p, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -34 - (0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 - (-3 - -1)). Suppose i*u - 32 = 2*u. Calculate the common denominator of u and -34\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2575*n**2 + 1666*n - 1666*n.\nAnswer: -2575*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 227, 316?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 130*j**2 - j - 3 - 6 - 81*j**2 + 26*j**2 to the form q*j**2 + v + y*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*z + o, 3*o + 1 = -4*z + 26. Suppose d = -2*j + 2, -z*d + 93 = -5*j + 20. What is the lowest common multiple of 8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7036965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n**2 + 13. Let o(i) = 27*i**2 - 25. Let u(w) = 6*o(w) + 13*t(w). Differentiate u(v) wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3588*q + 933*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*d**2*z**4 + 51*d**2*z**3 + 110812*d**2*z**2 wrt z?\nAnswer: 2568*d**2*z + 306*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 10 = 2*p, -p + 5*a = 9*a + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 92 = -3*u + 111, -3*p + 16 = 4*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 86*a + 176.\nAnswer: -(a - 88)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/160183 greater than 3.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 6 = -7*h + v, h + v - 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1854 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1555977.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -312*a**2. Let m(j) = 2*j. What is v(m(c))?\nAnswer: -1248*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 - -6. Let s(x) = 6 + 1 + x - 2 + 1. Let g be s(-5). What is the closest to 1\/3 in g, -1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -91.\nAnswer: -81\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, j: 2, v: 4, b: 1}. Give prob of sequence vy.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2682*d**2 - 207*d - 419. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5\/37, 0.07, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -65 - (1 - ((-4 - 1) + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z + 3\/2*z**2 - 3\/2*z**3 + 0 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 812*m**5 + m**3 + 222*m**2?\nAnswer: 48720*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4\/11 (b) 0.114 (c) -2\/13 (d) 8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 15 = 174 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77100 - (12\/(-32) + 592\/(-128)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 20 - (-2 - -52)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558, 1112, 1666, 2220?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.11 + -2.58. Let t = -3 + 3.03. Let b = v - t. What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x**2\/4 - 1405*x\/2 + 38 = 0 for x.\nAnswer: -76, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 472*u**2\/5 - 471*u\/5.\nAnswer: -u*(u + 1)*(u + 471)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1681427, -1681066, -1680465, -1679624?\nAnswer: -1678543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 331.83 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-45))\/(1632\/153). Let c(q) be the third derivative of -3\/40*q**5 + q**3 + 14*q**2 + g*q**6 + 0 + 0*q + 0*q**4. Determine f so that c(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 11:35 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61957327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-159 + 6*5\/(-10)). What is the second derivative of -152*n - 2*n**5 + 1 - 1 + 4*n**2 + y*n - 1 wrt n?\nAnswer: -40*n**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122ced (base 15) to base 10\nAnswer: -870298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - -645036?\nAnswer: 645120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -27 + -7 - (-27 - -21) - 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 17*k + 45. Give n(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 5*p - 1, 2*i + p + 2 = -0*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-144))\/(8\/72)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 95. Let n be 299\/(-3) - (-2)\/u. Let z = n + 795\/8. Which is the second smallest value? (a) z (b) -3 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Suppose -t*q - 5 = -0. Let g = 102\/5 - 21. Is g less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7315*n**2 - 4661*n**2 + 11979*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) 2 (c) -4.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8828.\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + w = -0*r + 1, -5*r - w + 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**3 + 2*g**2 - 22*g - 60. Does 7 divide c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h. Let f(d) = -7*d - 15*d - 18*d + 47*d. Let q(z) = 3*f(z) + 4*g(z). Let c(k) = 4*k**2. Determine q(c(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 462 = 3*m, 2*m + 4*w = -m + 480. What is the highest common divisor of m and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.036, -0.02, 3, -1\/3, 4 in descending order.\nAnswer: 4, 3, -0.02, -0.036, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*s = 10314 - 11359 - 10925 - 6426 for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -23. Suppose 0 = -11*u + 7*u + t. Solve 0 = x - 3*x + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) - (sqrt(280) - 2*(sqrt(280) - sqrt(280)*-2))) + sqrt(280))\/(sqrt(10) - 1*sqrt(1000)).\nAnswer: -14*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 2. Let j be w(6). Let i = 28 + j. Let x(v) = 6*v - 4 - i - 5*v. Determine x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (16 - (5 - (3 + 5 - 7))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 + -222. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - 5) + 0 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -3659574?\nAnswer: -3659574","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -167181 - -275?\nAnswer: -166805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279662 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**4 - 5*k**4 - k**2 - 2*k**3 + 4*k**3 - 3*k**3 + 11*k**4 to f*k + i*k**3 + m*k**2 + q*k**4 + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, -2792, -1\/4, 30.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/210 - (-16)\/56. Which is the second smallest value? (a) d (b) 3\/4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 29. Does 25 divide b + -4 + 4 + 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 13183746.81575\nAnswer: -13183747.81575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*m + 5*m - 42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 13. Suppose 0 = 4*y - k*y - 48. Let r be (2\/8)\/((-78)\/y). Which is the biggest value? (a) 4 (b) r (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*y - 37 + 247 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -75, -120, -183, -270, -387?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*r - 1, r + 73*z = 71*z - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5994\/1543 + 233335\/564738. Let a = -8\/61 + p. Calculate the common denominator of 41\/6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18*9*22\/1188. Sort 84, -1, -6, -5, m in ascending order.\nAnswer: -6, -5, m, -1, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*b = 81*b - 7533 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0444627843 times -2\nAnswer: -0.0889255686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1997 + -1998. Is j greater than -26\/177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -5*f + 83. What is the remainder when f is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 16 = -4*g. Suppose 5*z - 3*s = -47, -3*z + 4*s = 19 + 18. Let w be z - (g + (-1 - -3)). Sort w, 2, 0 in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3305 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) + (-133)\/(-14). Suppose -15 = -2*k + y. Solve 5*v = -j + 17, -4*v + k = -0*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38.75 + 38.75. What is the second smallest value in 0.5, 2\/3, -42\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23604*x**3 + 8273*x**3 + 15312*x**3.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -34212*r + 34217*r + 14*k, 3*r + 103 = -5*k for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*(-12)\/9. What is the tens digit of 12 - 3\/z*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*x - 18*x - 28*x)*(20 - 8 + 80) + 5*x - 2*x - 2*x.\nAnswer: 1657*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*z**2 + 1\/3*z**3 - 1\/3*z + 0 - 1\/3*z**4.\nAnswer: -z*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712816519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/52 and -137\/420.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 332\/(-249)*(-6)\/80.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 156?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 4. Let y(s) = -3*s - 4. Let a(l) = 4*k(l) - 3*y(l). Let v be a(-9). Is -14 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0593 - -0.05930291. Round a to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -401688, -1606808, -3615342, -6427290?\n\"Answer: -401707*k**2 + k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2277, -4, 75?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -33, -1\/9, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6b00 (base 15) to base 2\nAnswer: -101100011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -1117?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -1\/8*q**4 + 1\/3*q - 1\/30*q**5 - 10 + 1\/4*q**2 - 1\/18*q**3. Factor a(n).\nAnswer: -(n - 1)*(n + 1)**2*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)\/(w**(1\/5)*w)*w**7*w**(-5) assuming w is positive.\nAnswer: w**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 27*c**2 + 5*c + 329. Calculate t(27).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01528296 take away -952?\nAnswer: 951.98471704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -425444 (base 7) in base 4?\nAnswer: -102003311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/6 + h**2\/2 - h. Let m be u(3). Suppose -2*l - s = 3*s, 5*s - 6 = -m*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(2\/9)))*r)**(-4)*(r*r\/r**1*r)**49 assuming r is positive.\nAnswer: r**(802\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (5 + -21) - 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.08 (b) 4 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(25)*-1)\/(-6*sqrt(245)) + 3.\nAnswer: -sqrt(5)\/42 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:39 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 348, 339, 328, 315, 300?\n\"Answer: -m**2 - 6*m + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 972 = -45*u + 468. What is the highest common factor of 768 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 + 1 = 0. Let b(t) = t + 2. Let w(v) = -1. Let d = -75 - -73. Give d*w(p) + k*b(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 25*((-20)\/(-25) - -2)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 491\/1830 - 1\/610. Let u = -2\/15 - l. Sort u, -3, -0.6.\nAnswer: -3, -0.6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 76*q**5\/5 + 3*q**4\/4 + 199*q**3\/3 - 570. What is the third derivative of p(t) wrt t?\nAnswer: 1824*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 16*r + 17. Let u be d(11). Let l = -35 - u. Solve 0 = -3*k + l*y - 9, -y = -2*y + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -0*j. Suppose 4*a - 11 = -31. Sort 2, j, a in increasing order.\nAnswer: a, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - (-11 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:27 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Let f(y) be the third derivative of -77*y**5\/60 - 2*y**2 + 46*y. Calculate f(c(g)).\nAnswer: -77*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**6\/60 - 9*s**5\/20 + s**4\/2 + 13*s**3\/6 + 176*s**2. Let v be f(13). Which is the biggest value? (a) 0.28 (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3108 - -0.0782. Let a = q + -0.4. What is a rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 16 - (16 + 3380\/484)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106734?\nAnswer: 2, 3, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4695*r - 4731*r - 1188 = 0 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14141 - 2177?\nAnswer: -16318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4160?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 30*d = 25*d - 5003, 2*q - 3332 = 5*d. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -3, 4, 102, 68.\nAnswer: -139, -3, 4, 68, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 13*t**5\/60 + 7*t**4\/24 + 3002*t**2. Let m(r) = 7*r**2. Calculate x(m(p)).\nAnswer: 637*p**4 + 49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0727050753045 - 146\nAnswer: -145.9272949246955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 16*x. Let t(o) = -o**2 + o. Give j(b) - 16*t(b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 15*p - 25. Determine s(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266901 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7606176 or -0.2?\nAnswer: 7606176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10288?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l**2 - 9*l - 9. Let m = 46 - 41. Suppose -4*g + 4*a = -2 - 22, -g + m*a = -2. Let x(i) = -1 - 1 + g + 5*i + 7*i**2. Give -6*s(c) - 11*x(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2540 and -1.2.\nAnswer: -2541.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/((((t**(-20)\/t)\/t*t*t)\/t*t*t)\/t)))\/(t*(t*t*(t\/(t**(10\/11)*t))\/t)\/t)*t*t*t\/t**(-4)*t**3 assuming t is positive.\nAnswer: t**(-122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 7*p**2 + p**2 - 2*p - 1. What is the remainder when f(-2) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 16*g**2 - 2*g. Let c(l) = 24*l**2 + 7*l - 7. Let y(p) = 21*p**2 + 6*p - 6. Let h(t) = -6*c(t) + 7*y(t). Determine h(q(w)).\nAnswer: 768*w**4 - 192*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/286 and 35\/386958?\nAnswer: 386958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*o**4 - o**3*z**3 - 2*o*z**3 + 22*o*z**2 + 2*o*z wrt o.\nAnswer: -1560*o**2 - 6*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1072\/17152)\/((-2)\/(-672))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 9 - 13)*(-3*a**2 - 4*a**2 + 4*a**2) + (-1 - 1 - 1)*(3 + 2*a - 3)*(4*a - 4*a + 5*a) to the form r + f*a**2 + u*a and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 16 - 24. Let m be (-70)\/9 + r\/(-45). Let y be m\/(-56) + 138\/14. Solve b + b = y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.095 minus 18251?\nAnswer: -18224.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-154)\/35 - 6\/10. Let g = -1 - h. Which is the second biggest value? (a) 0.1 (b) g (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -113762959?\nAnswer: -2275259.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/13 (b) 290.973 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 + 317 - 16 + 2*w**2 + 129590*w - 129589*w + (0*w + 6*w - 4*w)*(2*w**2 + 4*w**2 - 4*w**2).\nAnswer: 7*w**3 + 2*w**2 + w + 301","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10217 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x**3\/3 + 2*x. Suppose -y + 6 = 1. Let r(q) = y*q + 0*q - 7*q. Calculate r(k(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 4*r**2 - r - 3*r**2 + 13*r**2 to z*r**2 + l + s*r and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1b?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-1\/2)*r)\/r)*r)**(10\/13))**(-42)*r**(4\/9)\/((r*r**(2\/17)*r)\/r)*r\/(r*r**(1\/2)*r)*r\/r**(-6) assuming r is positive.\nAnswer: r**(-302099\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -619673291\/169712408 - 2\/1116529. Let i = 1\/38 + z. What is the common denominator of i and 59\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84627260 by 1970.\nAnswer: 42958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*z**5 + 50940*z**4 + 12994778*z**3 + 10371384*z**2 + 2072648*z.\nAnswer: 2*z*(z + 509)**2*(5*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -149 - 28 - 36*c - 917*c**3 + 930*c**3 + 35*c in the form g*c + h*c**3 + t*c**2 + u and give u.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/297927 and -121\/56748.\nAnswer: 1191708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -70 + 32 + (-1 - -39) - (-6 + -5)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 14*t**3 + 9*t**2 + 17*t - 17. Let c(h) = 3*h + 43*h**3 - 48 - 38*h**3 + 3*h + 3*h**2 + 42. What is -17*c(r) + 6*o(r)?\nAnswer: -r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 + 4 = 0. Suppose c - 28 = -2*o, 3*c - q*c - 4 = 0. Let b(m) = m**3 + 21*m**2 + 39*m + 382. Let x be b(-20). Solve -o = -w - x*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**1)**50\/(d\/(d*d**(-1)*d))**(3\/4) assuming d is positive.\nAnswer: d**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2531*j - 76. Let a(f) = 32904*f - 1026. Calculate -2*a(t) + 27*l(t).\nAnswer: 2529*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggssggoogoo. Give prob of picking 1 o and 1 s.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87\/15 + (-15)\/(-75) - 2. Solve -h - h = -t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24)\/(20\/4*(-66)\/660)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -90. Let m(y) = 101 + 105 - u*y - 198. Let a(o) = -2*o + 7. Calculate -5*a(b) + 4*m(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*p - 12 + 3. Sort p, 435, 3, -3 in ascending order.\nAnswer: p, -3, 3, 435","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285379804 divided by -2846\nAnswer: 100274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) 0.025 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 - 2277*r**4 + 570714*r**3 - 45665910*r**2 - 443015325*r + 12286798875 = 0. What is r?\nAnswer: -19, 13, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f + 1702 - 391 = 0 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -1, -5, -1.1, -229\/4 in ascending order.\nAnswer: -229\/4, -5, -1.1, -1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 98118 = -51*d - 90810 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, w: 1, e: 1, y: 1}. What is prob of sequence yw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 2755 = -17*g + 1000. Solve 135 = g*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b + 11. Let f be a(-9). Suppose 0 = -w - w + f. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 6, 59, 103 in increasing order.\nAnswer: -3, -1, 6, 59, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160 + -64. Let c = -11 + t. Let m = c + -86. What is the third biggest value in 4, m, -7\/3, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -53, -77, -99, -119, -137?\n\"Answer: i**2 - 29*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -50*l - 19*l - 18*l + 114*l - 22*l. Let y(x) = -x**2 - 23*x. Give n(y(g)).\nAnswer: -5*g**2 - 115*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/360*(-6)\/(-21)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 1 e when three letters picked without replacement from {d: 6, e: 1, u: 3, c: 3, s: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = k + 5*o, 0*o + o = k - 5. Suppose 0 = 2*v - 5*v + 2*a + 23, -2*a + 10 = k. Calculate the remainder when v is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - k = -0*g + 5 + 31, -3*g + 0 = 6*k + 18 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20383 - -4728843\/232. What is the common denominator of 4\/261 and n?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500388 at least as big as 500388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501 = 20*q - w, -4391*q + 79 = -4388*q - 4*w for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 540862870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4733 is divided by 251.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-2\/19)*h))\/(h\/((h*(h*h*h\/(h**(-3)*h))\/h)\/h*h)))**(-2\/75) assuming h is positive.\nAnswer: h**(-52\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74209 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 11) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004329629 to 7 dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0.02 (b) 0.4 (c) -2\/19 (d) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.98 + -11. Let z = f + 0.42. Let o = 0.1 + 4.9. What is the smallest value in o, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 6. Let z = -9530 - -57181\/6. Let v(i) be the third derivative of 0 + 0*i - 21*i**2 - 1\/24*i**4 + z*i**3. What is -p(l) + 4*v(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 238740801 at most 238740801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1633710 and 19470.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cebcacecueecc. What is prob of picking 1 a and 2 e?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.33, -0.4, 0.09 in descending order.\nAnswer: 0.09, -0.4, -1.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -584*u**3 + 3*u**2 - 24.\nAnswer: -3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l**2 + 5*l - 2. Calculate m(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*35\/240 + 11\/((-1188)\/(-546)).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -64. Let w be (-288)\/420 + 2\/p. Let s = 2.4 + -2. Which is the third biggest value? (a) s (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11043*h + 121396. What is b(11)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c, 11*c = -3*q + 6*c + 9. Suppose -b = q - 8. What is the third derivative of -8*t**2 - 2*t - 8*t**5 + 2*t + t**b wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12291, 24453, 36615, 48777, 60939?\n\"Answer: 12162*h + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9004b (base 13) to base 3\nAnswer: -111001200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l + 11. Suppose -l*f = -30 - 54. What is the least common multiple of f and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 115980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-63)\/21 - 1*-105. Suppose 72 + y = -29*g. Let l(q) = q**3 + 7*q**2 + 5*q + 2. What is l(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueueheduhhhheh. What is prob of picking 2 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/5, 1\/22, -2\/7, 0.2, 0.3745?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26180404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*c*v**3 + 2*b**2*c*v - 7*b**2*v + 20*c*v**3 + 3*c*v wrt v?\nAnswer: -12*b**2*c*v + 120*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 294*y + 16463. What is n(-56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 8\/(-12)*39. Let c be q\/231 + (-14)\/147. What is the closest to -1 in c, -0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 6*s + 3. Let x be n(-3). Let j(h) be the first derivative of h**3\/3 + 7*h**2\/2 - h + 45. What is j(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -587, -880, -1173, -1466?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -4.5. Suppose 7 + 7 = 2*k. Suppose k = -4*i + 3. Sort c, i, 2 in descending order.\nAnswer: 2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-27)*6\/4)\/2\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*(h**(2\/3)*h)\/h)**(2\/31) assuming h is positive.\nAnswer: h**(8\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {p: 2, w: 1, x: 2, g: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 4*j - 2*b, 13 = -2*j + 4*b + 79. Let c = j + -17. Suppose n = 0, -2*n = -r + 3*r - c. Solve -3*h + 3 = -r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 9*g**2 + 6*g - 16. Let k be d(-8). Let w(f) = -29 + 35 + k*f**2 + 6*f**2 + f**3 + 7*f. Determine w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*(1 - 34\/(-6)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -2.4. Let v = -2.999994 + r. What is v rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.21 (c) -3\/8 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65136 is divided by 8739?\nAnswer: 3963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*((sqrt(1331) - 5*2*sqrt(1331)) + sqrt(1331))*6)**2.\nAnswer: 76665600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42382356 and 492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(832)))**2.\nAnswer: 256*sqrt(13) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 65\/454?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (10\/(-5) + 6). Suppose -38*u + 40*u - 46 = k. Let c(z) = z - u + 5 + 11. Determine c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7357404708?\nAnswer: 2, 3, 137, 1491769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 2. Suppose 7*s + 0 - 21 = 0. Suppose h + 5*l + 8 = -11, -2*h + s*l + 14 = 0. Give d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36.99 (b) -6\/7 (c) -179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -265, -561, -955, -1435, -1989, -2605, -3271?\nAnswer: -3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-37)*((x\/(x\/(x*x**(2\/3)*x*x)*x))\/x)\/x**(-1) assuming x is positive.\nAnswer: x**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, y: 10}. What is prob of picking 1 y and 3 h?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 + 1086*r - 11500. What is u(10)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.02. Let y(k) = k**3 - 2*k**2 - 8*k + 3. Let l be y(4). What is the closest to 0.2 in u, -5, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 6. Suppose 15*s - n*s = 36. Find the first derivative of -6*u**4 + 6 - 9*u**4 + 7*u**s wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 3. What is u(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(sqrt(18) + sqrt(18) + -3 + -4 - (-2*(sqrt(72) + -5))**2).\nAnswer: -5904*sqrt(2) + 9480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46896 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 9. Suppose -l = -q + 23. What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*-1*sqrt(136)*4)\/(((sqrt(64) - (sqrt(64)*-1*-6 + sqrt(64))) + sqrt(64))\/((1*sqrt(16))\/sqrt(2))))**2.\nAnswer: 88128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14085650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040849 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a century in months?\nAnswer: 14700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 2, f: 2, i: 1, d: 2, r: 1}. Give prob of sequence rfdx.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42152656 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -24. Let s(y) = 12*y**2 + y + 1. Let u(j) = -23*j**2 + 8*j + 12. Let g(x) = -2*s(x) - u(x). Let k be g(c). Solve 0 = -2*m - 12 + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 246 = -m - 4*g, 5*g = -4*m + 504. Find the common denominator of (-3 - (-87)\/27) + m\/45 and -61\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*3*6*((2 + sqrt(432))*-1 - sqrt(432)) + -4) + 5)**2.\nAnswer: 31968*sqrt(3) + 561241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.66 + 2.1. Let h = -0.07 + s. Let p = 0.07 - h. Which is the closest to 0? (a) -3\/7 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 5:33 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*q + 587*q = 144 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*y = -3*y - 6, y = -o - 9. Calculate the common denominator of ((-8)\/2)\/(-2 - o) and 1\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84750987 and 10884.\nAnswer: 2721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149449482 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5652110*x**3 - 467521*x**2.\nAnswer: -33912660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 423*n - 40. What is the units digit of a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 1\/810*p**6 + 0 - 9*p**2 + 0*p + 23\/6*p**3 - 1\/27*p**4 + 1\/270*p**5. Let w(y) be the first derivative of d(y). Factor w(a).\nAnswer: 4*(a - 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 4*i**2 - 10*i - 10. Let o be d(-5). Suppose -11*p + o*p - 3672 = 0. Let u = p + -367. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) 1\/5 (c) -12 (d) -0.1 (e) 112 (f) -2\/3 (g) -153\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 29*s - 112. Let y be v(4). Factor y*c + 1\/2*c**3 + 5\/2*c**2 + 2.\nAnswer: (c + 1)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 88648 = 4*c, 55*c = 52*c + 5*f + 66500. List the prime factors of c.\nAnswer: 3, 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 2*i**4 - i**4)*(-2*i + 5*i - 4*i + (-4 + 0 + 3)*(-2*i + 4*i + 0*i) - 2 - i + 2).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**8\/48 + 11*n**4\/24 - n**3\/3 - 26*n**2. What is the second derivative of u(r) wrt r?\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 75*f - 219. Let c be l(5). Let d = c - 150. Let t be ((-2)\/5 - 0)*-5. Solve 0*n - d = -t*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4632190683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287*n = -38512 - 20690 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175130*a*g**3 - 2*a*g**2 + 122*a*g + 2*g**3 + 60*g wrt g?\nAnswer: 1050780*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*f + 11922 = -14709, 3*s - 39939 = -3*f. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 5*i - 19. Let v(x) = x**2 - 4*x - 18. Let r(m) = 6*q(m) - 5*v(m). Let w be r(13). List the prime factors of w\/((-2)\/(-36)*3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -537, -2133, -4789, -8505, -13281, -19117, -26013?\n\"Answer: -530*q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2378455 (base 9) to base 6\nAnswer: 43410122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84317.\nAnswer: 84317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13927 - 306467\/22. Let f be (14\/462)\/((-2)\/1693). Let q = f - z. What is the common denominator of 28\/9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/13 (b) 0.1 (c) 0.2 (d) 3 (e) 1072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 179 - 495 - 2521*j + 83. Is l(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1.37035219, -3, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 169197694 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Let u be -4*(1\/(-1))\/m. Suppose 0*w + 251 = 3*w - 4*a, -a = u*w - 360. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 11428.\nAnswer: 262844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -258*l**3 + 3*l + 2. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-6)*(-6)\/(-5). Suppose t*v = -3*v + 126. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232 - -227) + (1 - 5 - -33)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + q + (-7 + 2 + 1)*(-147*q + 73*q - 76*q).\nAnswer: 599*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 33*k + 51. Determine j(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1222*f + 66 = -2*a + 3*a + 1218*f, 20*a + 3*f + 91 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 6 (c) -12\/5 (d) -0.075 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3247574.375 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*n**3 - 1593*n**2 + 1580*n**2 + 4*n**3 to l + r*n + a*n**3 + j*n**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 91.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17175, 34333, 51465, 68559, 85603, 102585?\nAnswer: 119493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -14 - 10 - (11 + 7 + -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*y + 22, -5*g = -0*g + 2*y + 2. Let p = -454511\/14 + 32460. What is the common denominator of 364\/(-64) - 1\/g and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) -3 (c) 1295.2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1024654*f**3*n**2 - 3*f**2*n**2 + 2*f*n**2 - n**2 + n + 988358 wrt f.\nAnswer: -6147924*f*n**2 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010101000011 + -10011?\nAnswer: -111010101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2035*o + 36682. Determine k(-18).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 - (116 + 72 + -269) - -10\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30.3 or -3924?\nAnswer: 30.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 130. Let i = 154 + h. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a\/a**(-3\/17))\/a))\/a**(15\/4))\/((a\/(a**(2\/23)\/a))\/a**(-7)))**22 assuming a is positive.\nAnswer: a**(-203687\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 96 + 16 = 0. Let k be (p\/(-5 + 1))\/((-3)\/(-39)). What are the prime factors of k\/(234\/12) + (-56)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17 + 315*t**2 + 490*t - 25*t**3 - 10 - 44*t + 34*t + 133.\nAnswer: -5*(t - 14)*(t + 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Let g = 19 - 19. Suppose 4*u + g*u = 80. Calculate the lowest common multiple of z and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011211062.\nAnswer: 2, 7, 143657933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 366084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o - 17*o - 12 - 79 wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, s: 3, y: 1, r: 1, f: 2}. What is prob of picking 1 s and 1 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = -3*q - 6*n, 4*n = 3*q - 13. Suppose 2 = q*h - 2*h. Suppose 16*y = 6*y + 30. Is h less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31045 + -30940. Calculate the greatest common divisor of k and 2485.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.7 + 6.3. Let p = -4.85 + -0.15. What is the nearest to -1\/2 in 5, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -4.\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8020*x - 184466. What is i(-23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2055 is divided by 643?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and (-12328)\/(-72) + (-16)\/72?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 - s - 8. Let b be 1\/(-1 - 1)*6. Let u = 0 - b. Calculate the remainder when j(-3) is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 125 + 4 + (-1)\/(1\/(-2)). Let m = z - 50. Suppose m = -0*j + 3*j. What is the smallest common multiple of j and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30421 + 30425 + 30411 - 152097 - 3*b**2 + 30418 + 30422.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10, -4, 49, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, 95, 0.01494?\nAnswer: 0.01494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - a - 3. Let d be j(3). Suppose 4*m + 1 = s - d, 3*m = 4*s + 10. Let g(b) = -295*b - 3. Is g(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/100 - 53*w**4\/60 - 83*w**3\/15 - 56*w**2\/5 - 1530*w. Find j such that u(j) = 0.\nAnswer: -2, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -7*t**6\/60 - t**5\/15 - t**4\/6 - 2*t**2 + 171. Let s(l) = 15*l**3 + 5*l**2 + 5*l. Give 5*r(u) + 4*s(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(128)\/(sqrt(4) - (sqrt(4) + sqrt(64))))\/(sqrt(484)*-1))\/(-4*(sqrt(100)*-2 - sqrt(100))*-6).\nAnswer: -sqrt(2)\/3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295342 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**5 - 3\/8*f**4 + 0 - 18*f + 1\/40*f**6 + f**3 + 15\/2*f**2. Let v(r) be the first derivative of h(r). Factor v(c).\nAnswer: 3*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -75. Let i be (3\/(-2))\/((-24)\/y). Solve 3*o + i*o = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 22*k + 24*k + 48999990 = 0, -z = 5*k + 9799975. What is z rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 87636\/14 - -5 - 4\/(-14). What is the greatest common factor of l and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - a)*(0 - 1 - 1)*(-94 + 76 + 193) to s*a + y and give s.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.34 + -1.1. Let r = v + -0.24. Let j be -1*1*(-4)\/14. Which is the nearest to r? (a) 5 (b) -2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2\/2 + 17883665*k\/2 + 8941835.\nAnswer: -5*(k - 3576734)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(2\/133)\/(f**(2\/7)\/f*f*f)**(-1\/4) assuming f is positive.\nAnswer: f**(1181\/3724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*4*3*-5)\/(sqrt(1152)*3 - sqrt(392)*-2).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/6)\/7*(-1)\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63487*x**2 + 6*x**3 + 63487*x**2.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -5 (c) 0.5 (d) 85 (e) 11.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*7.33\nAnswer: 14.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {u: 2, b: 4, v: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 1. Let q(t) = t**2 + 4*t - 5. Let j(p) = -p + 1. Let n(m) = d*q(m) + 5*j(m). Determine n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 p, and 1 t when four letters picked without replacement from eptttteppqqpotoptppt.\nAnswer: 98\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 19377339.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -22. Let x = -201 - -201. Let t = -137 - -139.9. Which is the nearest to t? (a) x (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -8 (b) -0.5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0288790513 to 4 dps.\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 2*k + 2. Let r be s(1). Suppose -5 = -5*z + r. Solve -z*m + 5*v = m + 9, 4*m + 4*v = -12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -173264.959 and 1.1868.\nAnswer: -173263.7722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 2*l**2 + 6*l - 7. Let o be p(3). Let c be -5 + o + 8572\/4. Round c to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -408*x**4 + 39*x**4 - 687*x**2 - 246*x**2 - 960*x**4 wrt x?\nAnswer: -31896*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219336 and 2442.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717*k + 24 = 721*k. What is the smallest common multiple of k and 2334?\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(69\/2001*29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b**2 - 10. Let k be m(0). Suppose 2*z + 3*z = -105. Let o be 12\/k*70\/z. Solve -28 = 2*c - 0*g - o*g, 0 = -c + 3*g - 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (428\/(-48) - (-3 + -6))\/((-5)\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 1. Let l(w) = -26*w + 34. Let u(v) = -6*l(v) + 204*p(v). Let c(x) be the third derivative of x**5\/30 - 2*x**2 + 103*x. What is c(u(k))?\nAnswer: 4608*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 6 + (-21 + 5 - (24 - 62)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k - 0*k. Suppose k*f - f - 9 = 0. Let c = 16 + -12. Put c, 5, f in descending order.\nAnswer: 5, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 2*w**2 - 4*w - 3. Let i be q(-2). Suppose -20 = -i*f + f. Suppose d = f*d. Solve 2 = -d*u - u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 13. What is m in 6*m**4 + 12*m**3 - 5*m**2 + 4*m**2 - 9*m - 3*m**5 - h*m**2 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-97 + 85)\/(5 - (-98)\/(-19)). Suppose -3*a + 4*a - 95 = 0. What is the greatest common divisor of w and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 6\/102667 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 9*r - 40 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 8:36 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/60*-2)\/(1\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 8. What is the third derivative of 8*g**2 - 20*g + 11*g + 4*g**o + 9*g wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 1944 = 6*o. Let x(u) = -u + 9. Let f be x(5). Suppose -4*s + 3*c + o = 0, s = -f*c + 33 + 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -476\/57 and 97\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.330578 and -2?\nAnswer: 10.661156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34596 + -89.\nAnswer: 34507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 - 2*t**3\/3 + 5*t**2\/2 - t. Let s be (15\/(-6))\/5*-8. Let m be d(s). Solve 0 = -u + 5, 0 = -m*f + u - 6*u + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/836 and 3\/3116.\nAnswer: 34276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b2 + -244?\nAnswer: 26d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -2 (c) 11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + o**2\/2 + 10*o + 2. What are the prime factors of z(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2684 and 2562.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = j - 1, 2*j = -5*n - 5. Suppose 0 = q - u + 8 - j, u = -2*q - 16. Sort q, -2, -5 in ascending order.\nAnswer: q, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(13) + 0 + 0))**2.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + 80 = 0. Calculate the greatest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1576288, -5, -1 in increasing order.\nAnswer: -5, -1, 0, 5, 1576288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 4460*m\/9 - 992\/9.\nAnswer: 2*(m + 248)*(9*m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 1284179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 - -8. Let n = -65 - x. Suppose -5*i + 96 = -i - 4*v, 3*i - 5*v = n. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001086 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/162*-252 + -2 + -6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x + 115. Let p(u) = 11*u - 195. Let g(c) = 5*d(c) + 3*p(c). Calculate g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a*a\/(a\/(a\/a**(-3))*a))*a*a*a**(-1)*(a\/a**5)\/a*a\/a**(-5\/4) assuming a is positive.\nAnswer: a**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 260\/66)*-3. Is h not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5973*d**3 + 3218*d - 6. Let x(z) = 47785*z**3 + 25743*z - 46. Let y(l) = 23*g(l) - 3*x(l). Find the second derivative of y(s) wrt s.\nAnswer: -35856*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 85 = -4*i, 17 = i - 0*q + 4*q. Calculate the remainder when i is divided by (-1 - -3)\/((-6)\/(-33)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 188827, 188810, 188793?\n\"Answer: -17*y + 188844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 15. Solve f = -5*c + 22, -k = -4*c - 2*f - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65732040 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 10*r. Let b(c) = 41*c - 456. Let p be b(11). What is x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 + 2*b + 1. Let p be t(-1). Let q = 0.0574 - 1.0574. Let i = -0.3 - -0.1. What is the closest to q in 1, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t - 2349 + 7047 - 2345 - 64*t + 35*t - 2353.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 - 22. Let d = -898\/5 + f. Let -d - 12\/5*s**2 + 2*s - 6\/5*s**5 - 4\/5*s**3 + 14\/5*s**4 = 0. Calculate s.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32188 (base 15) in base 11?\nAnswer: a9496","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*r**3 + 6355*r**2 - 8*r - 23456698 with respect to r.\nAnswer: -75*r**2 + 12710*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 5*r**6\/24 + 13*r**3\/6 + 16*r**2. Find the first derivative of b(q) wrt q.\nAnswer: 75*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 3. Let x(v) = -3*v + 15. Let m(z) = -4. Let s(q) = -5*m(q) - x(q). What is -5*o(j) - 3*s(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h + 18*h + 631*h**2 - 3 + 3 in the form z*h + k + m*h**2 and give m.\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2994.611 nanometers?\nAnswer: 0.0002994611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10406301 - 10406301 - 2961*l as i*l + z and give i.\nAnswer: -2961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-890)\/(-89)*(-24)\/15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6509*n**2 + 115*n - 15343187 wrt n.\nAnswer: -13018*n + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-13)*(((d*d**4)\/d)\/d)**(-28) assuming d is positive.\nAnswer: d**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.68? (a) -212.99 (b) 1\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12*l = -16*l + 1680, 0 = -5*a - 5*l + 8370. What are the prime factors of a?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 2*j**3 + 3*j**3)*(2 - 1 + 1)*(4 + 1 - 3)*(-8*j - j - 6*j).\nAnswer: -120*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732411315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 8*g**2 + 7*g + 8. Give j(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 8*v + 7. Let z be m(3). Put 4, 5, z in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1396507, -1396506, -1396505?\nAnswer: -1396504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*z = -8, 7*q - z = 4*q - 2. Let m(o) = o - 4. Let b be m(6). Suppose 2*i - 2 - b = 0. Solve -h - i*h + 6 = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*m + 9 - 9 + (-2*m + 2*m + m)*(2 - 2 + 1) + (4 - 3 + 1)*(-14*m + 37*m + 19*m))*(6*m - 5*m**3 - 6*m).\nAnswer: -505*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988233?\nAnswer: 13, 152941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352.52 millilitres in litres?\nAnswer: 1.35252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v - 70. Let r = v + 167. Suppose -4*i + 10*i = r. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -23*i + 2. Let j(l) = -12*l + 1. Let n(y) = 5*j(y) - 3*w(y). Suppose 25*g - 8 = 17*g. Let a be n(g). Solve r = 3*r - a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 times -3?\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**29)*a**(-12\/13)\/a*a\/(a**(-13)*a)*a**(4\/25))**44 assuming a is positive.\nAnswer: a**(-254012\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-240)\/9)\/(-8))\/((-6)\/(-9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 53 = 2*t, -5*t - 3*q - 2*q + 145 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**5 + v**4 - v + 1. Let c(u) = -231*u**5 + 2*u**4 + 12*u + 3. Let h(k) = -c(k) + 2*x(k). What is the second derivative of h(j) wrt j?\nAnswer: 4660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaiaiaaaiaa. Give prob of sequence iaii.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790548 is divided by 4075.\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -41. What is the remainder when 13 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -6*s - 34. Let f(j) = -3*j**2 + 2. Let z be f(-2). Let y = s + z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -54129\nAnswer: 22\/54129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluuul. What is prob of sequence ll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r - 9*r - 17*r)*(5*r**3 - 2*r**3 - 2*r**3 + (0*r**2 + r**2 - 3*r**2)*(-2*r + 0*r + 3*r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 + -160.2. What is the closest to 1\/4 in -1, 4, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244 is divided by ((-49)\/28)\/(-2*2\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72 from 0.2.\nAnswer: -71.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 1)\/(6\/(-750)) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -0.3 (b) 5 (c) -53 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**3*m**5 - 8*f**3*m**2 - 619*f**3*m + 4*m**2 wrt m?\nAnswer: 100*f**3*m**3 - 16*f**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 times 18?\nAnswer: 46098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, -18, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -984 = 49*j - 57*j. Suppose j*t - 12 = 117*t. Solve -4*n - t*z = 14, 0 = -3*n - 2*n - 2*z - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -17442.5659887875.\nAnswer: 17442.2659887875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 305251, 305250, 305249, 305248?\n\"Answer: -c + 305252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u**4 + 72*u**4 - 38*u**4 + 27*u**3 - 15*u - 9*u**5 + 3*u = 0 for u.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 36 = 4*u. Let l be (-1475889)\/(-15) + 2\/u. Let g = 148393 - l. What is g rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3 + 0*r**2 + 0*r + r**2 - 6*r - 2*r**2. Let q(m) = m**3 - 3*m**2 - 6*m + 2. Let j be q(4). What is the smallest common multiple of v(j) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.11 - -36.76. Let s = g - -4.67. What is s rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/60 - y**4\/12 - y**3\/6 - y**2. Let v be l(4). Solve v = -4*u - 3*o - 0, 3*o = u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppppppe. What is prob of sequence pe?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2490, 2491, 2492, 2493, 2494, 2495?\n\"Answer: j + 2489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5716 and 16032406.\nAnswer: 16032406.5716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15621504*p**4 + 26*p - 1017809 wrt p.\nAnswer: -187458048*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let k(s) be the second derivative of 140*s**3\/3 + 63*s. Give a(k(h)).\nAnswer: 560*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 435 and 390323?\nAnswer: 169790505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:57 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -84*k**4 + k**3\/3 + 120*k - 273. Differentiate z(n) with respect to n.\nAnswer: -1008*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -g*b + b = -5. Suppose -4*k + 5 + 3 = 0. Solve -o - 3 = -z, -6*z - b*o - 33 = -k*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31475 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**6\/30 - 11*l**3\/6 + 35*l**2\/2 + 2*l - 10. What is the derivative of c(n) wrt n?\nAnswer: 4*n**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -3.4?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18623318*i**2 - 882*i - 9311656*i**2 - 9311661*i**2.\nAnswer: i**2 - 882*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + 2*3*(sqrt(128) + 1 + sqrt(128)) + 3)**2 + -5.\nAnswer: 3072*sqrt(2) + 18683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5*t - 3*t)*(t - 4 + 4)*(33 + 39*t - 33) + 2*t**3 + 5*t**3 - 3*t**3.\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (0 + -6)) + (1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/18*(-2)\/(-8). Let d = -2461.2 - -2461. What is the biggest value in 6\/13, -5, d, v?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 0.7. Let w be (1\/9)\/((-1)\/(-2)). What is the second smallest value in w, 3\/5, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*c - 188, 0 = 2*s + 32*c - 35*c - 174. Suppose 0 = -3*r + 48*r - s. Solve -4*i + 5*g - 10 = 0, -r*i + g = i + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*x + 12226, 4*a + 10*x = 13*x + 24487. List the prime factors of a.\nAnswer: 2, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.11, 994, 0, -4, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 19, 3, -44 in increasing order.\nAnswer: -44, -3, 1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 8 = 2*t. Suppose 2*y - t*b - 25 = 0, -60 = -3*y - 0*b - 3*b. Calculate the remainder when 98 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133406 minus -165.761?\nAnswer: 133571.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*o = -o - 45, 0 = -2*d - 2*o + 30. Suppose d*z = 19*z - 3. Solve -16 = -z*m - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27210 and 3060?\nAnswer: 2775420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-2))\/(3\/(-3)). Suppose -2*b + 5*b = 429. Let n be 22\/b - 126\/(-26). Solve -n*u + 2*u = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5, -3931.8, 0.01, -3, 4.\nAnswer: -3931.8, -5, -3, 0.01, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 6*y - 2*y)*(-y - 3*y + 5*y) + (5 - 3 + 10)*(3*y - y + 0*y)*(3*y - 5*y + y) to the form t*y + f*y**2 + o and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrqrrrroorrorrrrq. What is prob of picking 2 r and 1 o?\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*o**2*u**4 - 2*o**2*u + 45861*o*u**2 + 5279*u**6 + u**2 + 2 wrt u.\nAnswer: -1584*o**2*u + 633480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - 2*y - 7. Let i be w(5). Let t = i - 247\/3. Let g = -5.4 - -0.4. Sort 0, t, g in decreasing order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 19*n + 1324 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, l: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11 + 2*x - 5 + 7 - x. Let b be p(-10). Solve 7 = -d - 5*z - b, -5*d + 3*z = -6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28022.7676 to the nearest integer.\nAnswer: 28023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274479 is divided by 221?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 + 233. Let i(f) = f**2 - 4. Let q = 5 - 8. Let x be i(q). Calculate the highest common factor of w and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.317361 + 0.5.\nAnswer: -0.817361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 50 = -4*o + 2*o, -2*o + 5 = j. Solve -11 = -5*m + g, -m + 3*g - j = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whwwwlhlzwwhwl. Give prob of sequence lzwh.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4*x + 12 = 0. What is the third derivative of -3*j**2 + j**2 + 6*j**6 + 0*j**2 - 10*j**x wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -b - 4*u - 4, 0 = 2*u. Let w = b + 36. Calculate the remainder when w is divided by (-6 + 0)*(0 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*h**3*x + 20*g**2*h*x - 225*g**2 + 3*g*h**3*x + 5*g*h**3 + g*h*x + 9*h**3*x - 42*x wrt g?\nAnswer: -4*h**3*x + 40*h*x - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 6:53 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 802*z**3 + 195*z**3.\nAnswer: 997*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 5*n**8\/56 - n**7\/210 - 1453*n**5\/30 + 473*n**2 - n. What is the third derivative of u(a) wrt a?\nAnswer: 1800*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlqvnlvvvvvjqqlqvjq. Give prob of sequence ljq.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337074486?\nAnswer: 2, 3, 29, 6392863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11137 (base 9) to base 3.\nAnswer: -101011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -355 (base 15) to base 6\nAnswer: -3255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/60 + 111*z**4\/32 - 83*z**3\/24 - z**2 - 783. Find t such that n(t) = 0.\nAnswer: 1\/4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2148*q**2 - 2*q**4 + 1080*q**2 + 1081*q**2)*(20*q - 85 + 85).\nAnswer: -40*q**5 + 260*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7164*c**3 - 1194*c**2 - 2388*c - 1194. Let k(n) = 2*n**3 + n**2 + 2*n + 1. Calculate -1194*k(h) - x(h).\nAnswer: 4776*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-117)*(-15)\/100*-8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 316 + 23?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 8*i**2 + 2 - 7 + 59*i + 10*i**2.\nAnswer: -5*i**2 + 59*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 - 2*w**2 - w**2)*(3*w + w - 5*w) + 5*w**3 - 2*w**3 - w**3 in the form h + y*w + v*w**3 + o*w**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 9 = -15*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3469 - 3473. Let y(b) = -1. Let z(q) = q - 34. Calculate r*y(c) - z(c).\nAnswer: -c + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 8*q + 5. Let p(t) = -t. Calculate -6*p(h) - r(h).\nAnswer: 4*h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-990)\/(-342) + (-6)\/(-57)*1. Let 8\/7*m**a - 22\/7*m**2 - 6\/7 + 20\/7*m = 0. What is m?\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309594 times -2\nAnswer: -619188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g**3 - 10*g**2 - 67*g + 442. What is the hundreds digit of p(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1227\/2 + -625. Let r = 12 + j. Let -r*u**4 + u**2 + 1\/4*u**5 - 3\/4*u**3 + 0 + u = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 45 = -15. Suppose 1 = -y + 7. Calculate the smallest common multiple of ((-5)\/(-15))\/(1\/m) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3151 + 19003\/6. What is the common denominator of c and (-45)\/(-12)*(-108)\/(-50)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, -16, 6763, -1, -2 in descending order.\nAnswer: 6763, 5, -1, -2, -16, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 764*t + 35 + 805*t + 42 + 149 with respect to t.\nAnswer: 1569","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-8)*c*c**(-2\/31)\/c*c)\/((c\/(c\/c**6*c))\/c*c*(c\/c**(-6\/5))\/c) assuming c is positive.\nAnswer: c**(-1746\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 5*l - 3. Let d be 1\/((-1)\/(-4)) + 1. Suppose 2*k - 7 = k - j, -2*k - d*j + 14 = 0. Calculate the smallest common multiple of k and b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from lhjmhlcll.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 381372.\nAnswer: 1906860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = n - 17, 3*n + 3*x - 11 = 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1170*w**4*z**2 + 73*w**4*z - 3*w**2*z**2 - 3*w*z + 6*w - 26*z**2 wrt w?\nAnswer: 28080*w*z**2 + 1752*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -92, -53, 20, 139, 316, 563, 892?\nAnswer: 1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129077, 129071, 129063, 129053, 129041?\nAnswer: 129027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155623797 divided by 155623797.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a + 2. Suppose 2*f - 6 = 11*u - 8*u, -4*u + 34 = 2*f. Let c(d) = 7*d + 1. Give f*c(v) - 4*q(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317699857?\nAnswer: 41, 2207, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*i**4*n*v - i**3*n**2*v**3 - 2*i**2*n - i**2*v - i*n**2 + 12*v**3 wrt i.\nAnswer: -744*i*n*v - 6*n**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, 11, 209, 8, -4.\nAnswer: -4, 8, 11, 132, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 578*y**3\/5 - 232*y**2\/5.\nAnswer: y**2*(y - 116)*(5*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -112, -4, -65 in ascending order.\nAnswer: -112, -65, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 7. Suppose 0 = 2*s - 10, 21 = -4*o + 26*s - 25*s. Give q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*8568\/3264.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 247?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, n: 11}. Give prob of picking 4 w.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*h**2 - 30516*h*m + 1928994*m wrt h?\nAnswer: 238*h - 30516*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -286*c + 174. Let f(z) = 49*z - 29. Let a(h) = 35*f(h) + 6*t(h). Determine a(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(4\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-8)*4 - (-138)\/(-12). Put -2\/13, 0.1, -0.5, g in increasing order.\nAnswer: g, -0.5, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -14*q + 2664. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 0 (b) -30 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -396627*n**5 + 62*n**4 - 3*n**2 + 355600232*n wrt n?\nAnswer: -7932540*n**3 + 744*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:56 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 666\/30 - (-3)\/(-15). Let x be (-8)\/10*(17 - j). Let u = x + 50. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(52) + (sqrt(208)\/sqrt(4) - sqrt(52))*4 + 2*-2*sqrt(52))\/(-1*sqrt(4)*3 + 3*sqrt(4)*3)*-6.\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*342\/(-189))\/((320\/(-400))\/(5 + 1)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**7\/70 - 19*g**6\/40 + 63*g**5\/20 - 65*g**4\/8 + 11*g**3 - 1247*g**2. Determine t, given that i(t) = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 10*t**2 + 10*t - 8. Let a be l(11). Let w = a - -52. What is the first derivative of 48 - 30 - w - 8*d wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*i + z, -i + 2*z + 13 = 2. Let l be (-1)\/((-5)\/(-2) + -2). Let j be (-1*l\/6)\/(-1). Which is the nearest to i? (a) -4 (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -32052\nAnswer: 25641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 - 340*l + 82. What is k(0)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 6*s - 78. Let d be l(9). Suppose -636*o = -635*o - d. What is the remainder when o is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364 + 536 = -92*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*p - 7. Let u be (p + 0)*183 + -2. Let r = u - 104. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpk when three letters picked without replacement from {n: 1, p: 2, k: 1, g: 1, w: 1, r: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 1681\/2*p**2 + 0 + 1\/48*p**4 + 110*p + 41\/6*p**3. Factor q(d).\nAnswer: (d + 82)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2958 (b) -0.2 (c) 9\/8 (d) 3\/5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2 = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q - 39*q - q + 10*q + 2 as y*q + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162340624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*x + 235*x - 715*x + 231*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1028, 4168, 9394, 16706, 26104?\n\"Answer: 1043*u**2 + 11*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3828807 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (-12)\/2 + (2 - -37).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and 2402710026379.\nAnswer: 2402710026378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 91. Suppose 2*j + 222 = 5*j. Suppose 14 = -j*w + i*w. Calculate the greatest common factor of w and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8265.63 + -8277. What is f rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39\/121 + -100684\/1089. Suppose -3*v + 473 = 2*v - 4*q, -4*v = 4*q - 364. Let j = u + v. Which is the closest to -0.3? (a) j (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344 + -1?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -18. Let r = t + 4. Let v(k) = 7*k**2 - 9. Let d(o) = -3*o**2 + 4. What is r*v(b) - 9*d(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 267771 divided by 5?\nAnswer: 267771\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-18)\/12*4\/3. Solve -p + i + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/6*-1 + 54. Find the third derivative of 96*p**2 - 194*p**2 - a*p**4 + 95*p**2 - 11*p wrt p.\nAnswer: -1272*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13987050 divided by -2.\nAnswer: 6993525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -8. Let k = 0.1 - 0. Let m = k - 0.3. Which is the closest to m? (a) 4 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40369, -81010, -121651, -162292?\nAnswer: -202933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-495*y - 15*y - 312*y - 501*y + 58*y)*(0 - 5 + 4 + (-2 - 2 + 5)*(0 + 2 + 1)) to a + u*y and give u.\nAnswer: -2530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 6:52 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*i - 8. Suppose i*o - 9*o - 15 = 0. Let a be (-1 - 2)\/o - -1. Solve 0 = a*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20 = 0, -5*n = 5*j - 2*n - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {g: 3, b: 2, k: 5, s: 1, q: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**4\/12 + s**3\/2 + 5*s**2. Let x be z(4). Let c = x + 9. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q**(-7))\/((q\/(q**0*q))\/q)**26 assuming q is positive.\nAnswer: q**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -3, 5, 41.\nAnswer: -6, -3, 2, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/805 and 19\/5145.\nAnswer: 118335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -367 - -4\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1210 and 94350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -89, -131, -171, -209, -245?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-63)\/(-18) - 4)*-3. Put d, -0.1, -28 in ascending order.\nAnswer: -28, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-35)\/4)*4. Suppose z = 5*k - 3*t, 0 = -4*k - 2*t - 1 + 7. Suppose k*o - 10 = 62. What is the greatest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*b + 2 - 12, 0 = 4*o + 3*b + 15. Suppose -2*m + o*m = -170. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8704641?\nAnswer: 3, 11, 19, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -33*(1 - 1\/3). Let g = n - -42. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**46\/(s**5*s*s*s**3*s) assuming s is positive.\nAnswer: s**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcv when three letters picked without replacement from vbvccbvc?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5340 = 7*t - 7414. List the prime factors of t.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 613476627 to the nearest integer?\nAnswer: 24768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.6. Let j = 0.3 + -13.3. Let u = j + 23. What is the biggest value in n, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6359761 to the nearest integer?\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptpptttttptptt. What is prob of sequence ttp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11\/5, 0.3, 2 in decreasing order.\nAnswer: 2, 1, 0.3, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1971.9 - 2116. Let z = -32 - i. Round z to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + w**2 - 2*w. Let y be z(-2). Let j = y + 11. Suppose c = -j*r + 1000, -r = -c + 2*c - 1000. What is c rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 8 = 5*i, 0 = 2*i - m + 4*m - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170.81155863837 + 0.18844338163. Let r = 171 - b. Round r to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 0.5, 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.7 - 21. Let z = t - 0.7. Which is the biggest value? (a) 1\/2 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324710 (base 8) in base 3?\nAnswer: 200212010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 112 = -4*g. Is 11 a factor of 0 + (-1 - g\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 1498 = 448. Find the first derivative of l*c + 49 + 87 - 183*c wrt c.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/15 + ((-185)\/3 - 3). Let k = r - -62. Let m be ((-1)\/k)\/(19\/627). Solve -10 = -2*g - 0*g, 2*g - m = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -131*b + 41*b - 39*b + (-4 + 5 - 2)*(-4*b - 3*b + 5*b) - 1 + 1 + 2*b + (-3*b + 2*b + 3*b)*(-1 + 3 - 1) - 2*b + 3*b - 2*b - 5 + 2*b + 5.\nAnswer: -122*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -133.06251 and 0.5?\nAnswer: 133.56251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 185\/6, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1, -4989 in ascending order.\nAnswer: -4989, -24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04840206021 rounded to 6 dps?\nAnswer: -0.048402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -2 + (4 + (sqrt(1152) - sqrt(1152)*-1))*-2).\nAnswer: 14 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1819104040 divided by -90955202\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4321 + 134343?\nAnswer: 130022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30500 and 873500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5758712.128 rounded to the nearest 100?\nAnswer: -5758700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/8*280\/210. Which is smaller: 114\/11 or f?\nAnswer: 114\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjccjjcjjj. Give prob of sequence cc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/533286 and -131\/864.\nAnswer: 25597728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k - 3*k - k + (k + 8*k + k)*(4 - 4 - 3) + 4*k - 2 + 2.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.537813 nanograms?\nAnswer: 0.009537813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*m + 71737 - 29617. Calculate the highest common divisor of m and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -5, -4\/5, -0.171?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - (-1 + 2 + 5 - -11). Is -29 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 28. Suppose 101 = 4*h - 119. What is the remainder when h\/(-2)*z\/20 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 10*d**2 + 12*d + 35. Let c be n(11). Differentiate -c*y - 24*y + 4*y + 19 with respect to y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 + 2*b**2 - b**2)*(0 - 2 + 5) + (4*b**2 + 5*b - 5*b)*(6 - 1 - 3) to s*b + r + m*b**2 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -5 (c) 0.5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 38324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(0*n**2 + 4*n**2 + 0*n**2)*(4*n**3 - 5*n**3 - n**3).\nAnswer: 24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -86, 0, 3, -7 in descending order.\nAnswer: 7, 5, 3, 0, -7, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052658?\nAnswer: 2, 3, 58481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - 2 - 5*g)*(3*g + 2*g - 4*g).\nAnswer: -6*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((312\/16)\/39)\/(1*((-910)\/(-12))\/(-13)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let c be ((-52)\/65)\/((-2)\/5). Suppose -5*h + w = -c*w - 110, -15 = 3*w. Solve z + 4*l + 11 = -3, 5*z = -b*l - h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - (7 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -16*u**3 - u**2 - 11*u - 16. Let x be s(-8). What is x rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. What is the closest to d in 1, -4, 0.07, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250371.75 months in years?\nAnswer: 20864.3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 2*t**2 + 3*t + 11. Calculate c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uevurcuvcude. What is prob of sequence vvec?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, n: 13}. What is prob of picking 2 x?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9562448*x**2 + 9562446*x**2 + 9562454*x**2 - 38249797*x**2 + 9562445*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2278 + -27307\/12. Let l = 4274 + -128143\/30. Calculate the common denominator of o and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 17*r**2 + 1. Let d(o) = 4*o**3 - 46*o**2 + o + 8. Let x(s) = -d(s) - 3*i(s). Give x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21348699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-75)*1*1\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228130337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -989?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5776245 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 2*l + 5*l + (-l + 6*l - l)*(-172 - 170 + 329) in the form w + m*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) 4\/7 (c) -1 (d) -1675 (e) -111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g + 8 = 0. Suppose 0 = g*u + 3 - 9. Solve 20 = -u*d - 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**4\/12 - 8*m**2. Let h(f) = -f. Determine -3*h(p) + 2*r(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-1)*o*o))**(-13\/5)\/(o**(-1))**(2\/31) assuming o is positive.\nAnswer: o**(1219\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/150 - 2*j**4\/3 - 140*j**2. Find w, given that p(w) = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/505764 and 53\/308.\nAnswer: 5563404","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2 + 3*u + 7. Let o = -5 + 35. Suppose -5 = -5*d - o. Let h(s) = -3*s**2 - s - 3. What is d*h(m) - 2*t(m)?\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27590 + 13*g**2 + 18*g**2 + 10*g**4 + 27195 wrt g?\nAnswer: 40*g**3 + 62*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 21*c**2 - 21*c - 20. Let u be t(22). Let s(d) = d**3 - 5*d**2 + 6. Let v be s(5). Differentiate -2 - 6*o + v*o + o**u with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4870085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -321 - -316. Let g(q) = -3*q - 1644 + 1646 + 2*q. What is g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20795 + 21392. Solve 2*v = -u + 607 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98.6 + -99. Sort 4, i, 3, -2.\nAnswer: -2, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -1130, -4190, -10150, -19976, -34634?\n\"Answer: -161*n**3 - n**2 + 4*n + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -5*r**3\/3 - 2005*r**2 - 4005*r - 1669. Suppose o(k) = 0. What is k?\nAnswer: -801, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 8*o - 7. Let g be d(-6). Suppose -2*l - g*p + 542 = -257, 2*l - 5*p - 789 = 0. Suppose -l + 1997 = 5*h. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*j**2 + 109?\nAnswer: -50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -27165.\nAnswer: 5433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459186 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Suppose -2*m = -2*i + 28, u*m + 0 + 6 = 0. Is 0 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9110418?\nAnswer: 2, 3, 227, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 10*r - 5 = -2*m, 3*m + 3*r = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mduu when four letters picked without replacement from {m: 1, d: 4, u: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11999 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.37164 micrograms in nanograms?\nAnswer: 99371.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/9)*w*w)\/(w*w**(2\/17)\/w*w*w) assuming w is positive.\nAnswer: w**(50\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (4 - 14)) + -33 + (5 - -6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32311691, 32311690, 32311689, 32311688, 32311687?\n\"Answer: -f + 32311692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -57. Let m = 2 - -2. What is the second derivative of -3*f - m*f**3 + a*f**3 + 6*f wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -43*h**3 - 10*h**2 - 273*h - 1338. Does 28 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 35*n + 28. Let i(b) = 572*b**2 + 5*b - 2 - 2*b - 576*b**2 - b. Let f = -11 + 18. Let l(m) = -13*m**2 + 7*m - 7. What is f*i(d) + n*l(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let a be x(-3). Suppose -96 = -5*f - 21. Solve -f = -a*j - 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -21*t + 24. What is the remainder when 41 is divided by z(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*p - 1708, 3*p + g = -g + 2554. What is p rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*sqrt(539)*4 + 5 + -2*sqrt(539)))**2.\nAnswer: -45500*sqrt(11) + 9109725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -m + 3*v, 2*v = -2*m + 1086 - 52. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -267?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeaamqqqqlqaqqmlee. What is prob of picking 2 l?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 9.27158?\nAnswer: 9.27158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*j = 15, -5*o - 5*j - 22 = -3*j. Let g be (-5)\/(-2) + o\/8. Let a be -2 - -3 - (1 - 0). Put a, 1, g in ascending order.\nAnswer: a, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -139*r**6\/40 - r**5\/15 - 7*r**4\/12 + 249*r**2. Find the third derivative of p(f) wrt f.\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/54144 and 1\/1510016.\nAnswer: 13590144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991 - 286 = -31*b + 78*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.6. Put -0.3, 1, d in increasing order.\nAnswer: d, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*m - 363, 4*w = -m - 51 - 12. Let g be ((-25)\/m)\/(1\/12). Suppose 97 = k - j - 3*j, 2*j - g = 0. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 4*q**2 + 3*q + 3. Let r be y(3). Suppose 111 = r*u + 36. Suppose 2*l - 4*l - 5*v = u, 0 = 4*l + 2*v + 10. Which is greater: 2\/97 or l?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 53*c**2 + 26*c + 113. Is r(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 9:35 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 19 - 2*l**2 - 22 + 41. Let i(x) = -114*x**2. Give j(i(n)).\nAnswer: 25992*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -129, -124, -119, -114, -109, -104?\n\"Answer: 5*w - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = 2*f. Let p be -10*1\/f - 2. Suppose -4*v = b - 28, -v + p*v = -5*b + 50. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a factor of 70846632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from {o: 3, z: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 minus -6.01?\nAnswer: -197.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-2923)\/553)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 44 = 40*f - 42*f, -5*f - 2*v = 110. Let i(w) = w**2 + 22*w - 24. Determine i(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 8*z + 1. Let d be l(-8). Let h(a) = -a + 3. Let s(t) = 2. Let g(f) = 2*h(f) - 3*s(f). What is g(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 5:54 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 96, 77, 46, 3, -52, -119, -198?\n\"Answer: -6*d**2 - d + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -626 and -626 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 113*d**2\/4 + 7854*d + 139.\nAnswer: (d + 278)*(113*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 22. Suppose -4*o = -o - f. Solve -9*m + 3*m**2 + 1 + o*m**3 + 5 - 9*m**2 = 0 for m.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -11.8. Let n = t - 10.6. Let v = 1.40000028 - n. What is v rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 + 4 - 4 + (-4*u**2 + 2*u**2 + u**2)*(u - 3*u + 3*u) - u**3 + 0*u**3 + 5*u**3 to the form g + q*u**2 + o*u**3 + r*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-24))**45\/(w**(-16)*w*w**(-26\/3)) assuming w is positive.\nAnswer: w**(-3169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 114163 and 5359013.\nAnswer: 5473176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h, 26 = k - 2*h + 25. Suppose -5*i = -5*t + k, -3*i - 36 = -2*t - 38. Solve -2*q + 5*z = 3*q + 10, 2*q + i*z = -16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -53.5. Let b = -74.5 - r. Let t = b + 88.00051. What is t rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(-2*99\/(-54)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7 (b) -1\/7 (c) -9 (d) 36\/11 (e) -6\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 - (29 + -49 + 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.043467*1.2\nAnswer: 0.0521604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 7*c**2 - 7*c + 1. Let j be g(4). Let p = j + 14. Solve 3*y + p = 7*y - 5*l, -2*y = -2*l - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 6*w**2 + 5*w + 27. Determine d(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 348 (b) -633 (c) 0.6 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2 + r + 1. Let w(g) be the first derivative of -g**4 - 2*g**3 - 4*g**2 - 6*g + 12. Give w(y) + 6*z(y).\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 1, h: 4, o: 3, v: 6, j: 2}. Give prob of picking 1 h and 1 v.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 446033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -4 - (-3)\/(6\/22). Suppose -2*w + 21 = 5*r, 0 = -3*w + 8*w + 4*r - 27. Suppose -p = -a, -p = w*p. Solve a = 3*u + 2 + j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 653 + -493. Find the second derivative of -8 + 14 + 56*w**2 - s*w + 23*w**2 - 6 wrt w.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6) - sqrt(18)\/sqrt(48))\/(-1*sqrt(3)*3).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - 17.09. Let d = 17.43 + k. Round d to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 22.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49670 and 49670?\nAnswer: 49670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91518 divided by -2.\nAnswer: -45759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 40095 in ascending order.\nAnswer: -5, 2, 40095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7*(-4)\/2)\/(-2). Let r(t) = -7*t - 6. Let z(l) = -8*l - 7. What is k*r(a) - 6*z(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 347 = -237 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*i + 141*i - 2604 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133)*2 + sqrt(133) + sqrt(133))*3)\/(sqrt(7) - (sqrt(448) + sqrt(448)*3 - sqrt(7)) - sqrt(7)).\nAnswer: 11*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(-6\/7)*q*q))\/q)\/q)\/q)\/(q*q**11)*(q**(2\/3))**(-7) assuming q is positive.\nAnswer: q**(-416\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138682601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*27\/72)\/(18\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6846.111 rounded to the nearest 10?\nAnswer: 6850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87836?\nAnswer: 2, 7, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101100 - -1?\nAnswer: -101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-27))**(3\/5)\/(m**9\/(m**(-8)\/m)) assuming m is positive.\nAnswer: m**(-171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + ((sqrt(33)\/sqrt(3) + 1 + 2 + sqrt(22)\/(-2*sqrt(242)))*3)**2).\nAnswer: -7577\/22 - 1134*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104*n**2 - 2*n + 254?\nAnswer: 208*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8681831*m. Let d(h) = h. Give d(x(r)).\nAnswer: -8681831*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - g + 1 = 0, 877 - 888 = -g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 79, 163, 281, 433, 619, 839?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121250 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 - y**4\/12 + y**3\/6 - y**2\/2 + 4*y. Let f be r(0). Does 9 divide (2 + 99\/(-3))*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*f + 687 - 67 = -49*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -443\/5 (b) -6\/7 (c) -0.2 (d) -47 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(847)*-1)**2 + 4*(sqrt(847) + (sqrt(847) - (0 + sqrt(847))))**2 + -1.\nAnswer: 7622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2249 and 1211?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 219705, 439417, 659137, 878865, 1098601, 1318345, 1538097?\n\"Answer: 4*s**2 + 219700*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 990091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgl when three letters picked without replacement from {q: 4, l: 3, g: 6, r: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20986, -20999, -21012, -21025, -21038?\n\"Answer: -13*d - 20973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526483, -526682, -526891, -527116, -527363?\nAnswer: -527638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5808842km in nanometers?\nAnswer: 580884200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d*d\/d**3))\/d))**(9\/2))**(-2)*((d**0)**(-23))**34 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1530918 = 2*q, 28*s - 5*q - 1020590 = 24*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/20 + 65*k**4\/12 - 121*k**3\/6 - 157*k**2 - k + 223. Calculate x(63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -92883316.\nAnswer: -92883316, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2*a**4\/3 - a**3\/2 - a**2 - 2*a - 1. Let l(g) be the first derivative of i(g). Is l(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 0. Suppose 0 = 16*x - n*x. Solve -12*d + 11*d = x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7448.3 + -7448. Suppose 21 = 5*m - 4. Let y = -2.5 - -2.5. Which is the nearest to l? (a) -0.2 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -40*h. Let v(t) = 599*t + 4. Let d(f) = 30*j(f) + 2*v(f). Let p(r) = 22*r. Give d(p(m)).\nAnswer: -44*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 not equal to 2525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/2 + 13 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 3*n**2 + 7*n**2)*(3*n**2 + 39 - 39 + (9 - 2 - 4)*(0 + 0 - n**2) - n - 2*n**2 + n).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -8*f. Suppose 5*l = 70 - 10. Let s = f + l. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 - 3*y + 1. Let m be s(-3). Let k = -25 + 22. Let l be (1 - 10\/8)\/(k\/(-6)). Which is the third biggest value? (a) m (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (54\/(-18))\/((-9)\/(-45))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36950 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/10435 > 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u**5 + 5*u**2 + 0*u**6 + 0 - 1\/672*u**8 + 0*u + 0*u**3 - 1\/420*u**7 + 0*u**4. Factor r(c).\nAnswer: -c**4*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 316\/(0 - -2*1\/2). Suppose 11*j = y + 4744. Suppose -3*t = 2*v + 123 - j, -5*v + 560 = 5*t. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (537\/716)\/(((-9)\/(-8))\/3). Sort -2, -4, d.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-4))\/((-90)\/160). Sort c, -4, 0.02 in descending order.\nAnswer: c, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - j - 22 = 0, -5*r - 2*j + 31 = 0. Suppose 70*t = 71*t - 2*p - 30, 0 = -4*t + 3*p + 145. Solve 20 = s + 4*k + k, 0 = 5*s + r*k - t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1005*h - 88486. Calculate m(88).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*p**2*r**3 - 2*p**2*r**2 - 2642884*p**2 - 127682*p*r**3 wrt r?\nAnswer: 528*p**2 - 766092*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.4 (b) 0 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 39, 5, -22, 184 in ascending order.\nAnswer: -22, 1, 5, 39, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(144) + (sqrt(306)\/sqrt(2))**2.\nAnswer: sqrt(17)\/6 + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 23*k**2 - 6*k - 10. Let u be m(6). Let a be u + 21 + (-9 - -1). Solve a*j = j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 177, 594, 1297, 2298, 3609, 5242?\n\"Answer: 2*s**3 + 131*s**2 + 10*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(380) + 1*sqrt(380))\/sqrt(10))\/(sqrt(32) - sqrt(2))*6.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b + 0*b**5 + 5\/336*b**8 + 0 + 0*b**7 + 1\/8*b**4 + b**2 + 0*b**6 + 0*b**3. Find the second derivative of s(h) wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32513980841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77903*z**4 - 3*z**3 + z**2 + z + 9556 wrt z?\nAnswer: 1869672*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 2 - 1)*(3 - 2 + 1)*(-1 + 1 + 2*a) + a - a + 3*a + (2 + 1 - 4)*(0*a - 2*a + a) - 6*a + a + 2*a as j + r*a and give r.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53, 82, 91, 80, 49?\n\"Answer: -10*x**2 + 59*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4984 and 743694?\nAnswer: 264755064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/6 + l**3 - 4*l**2 - 302*l. Let g(p) = 0. What is p?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00515635 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 533, -658, -1861, -3082, -4327?\n\"Answer: -r**3 - 1184*r + 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 17. Let c(a) = -a**3 + a**2 + 5. Let h be c(l). Which is smaller: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0 - 8. Suppose 5*t = 2*b, -2*t + 5*b + 17 = a*t. Let o be (15 + 5)\/(t\/(-3)). Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 41616504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from zzzhzzqhzrrzzrr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1703 and -0.4.\nAnswer: 681.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 589, 891, 1189, 1483, 1773?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -507484 divided by -2?\nAnswer: 253742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*x - 3*d + 32, 5*d = -4*x + 124. Calculate the remainder when x is divided by 93\/6 + (3 - 1)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 58*w + 106*w - 49*w + 11*w**2 + 13.\nAnswer: 11*w**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 4*f - 5*f - 30.\nAnswer: -2*f - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.269 + -56?\nAnswer: -55.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 4*f + 3*f. Let d = -1152 + 1146. Calculate i(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-9 - -17) - (5 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10000111011101 (base 2) to base 16\nAnswer: 21dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 14.174.\nAnswer: 42.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 279. Sort -1\/10, -2\/15, h.\nAnswer: -2\/15, -1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 5. Let c be r(-4). Suppose -k + 5*k = 0. Let b = k - 2. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.5. Let i = 395\/1077 + -12\/359. What is the fourth smallest value in i, -1, -0.5, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39203126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -88*c + 294. Solve -c*i - 7 = -22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2 (c) -0.4 (d) -0.85 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87779035?\nAnswer: 5, 17555807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, -2\/3, -183?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 3*h**3 - 2*h + 292*h**2 - 1178*h**2 - 6*h**3.\nAnswer: -6*h**3 - 886*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(-2*sqrt(14)\/sqrt(2) - (1 + sqrt(1008) + sqrt(7))) + 4)*5*-6.\nAnswer: 210 + 1350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (402\/(-536))\/(4\/(128\/30))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71 - 316\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 13. Let y(n) = 3*n + 38. Let c(s) = 4*y(s) + 11*z(s). Let h be c(-7). Let v be (h + -1)*3 - 1. Solve 5*a + 22 = 3*p, 3*a - v*a = -2*p + 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1428913 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 6?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 610621111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * 137.\nAnswer: -5617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*g + 12*g + 1946944 = 0. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/162 and (2*-4 - 74497\/(-9963))*3\/2.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:18 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900 - 900 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**25\/k*k**(-3\/7)*(k**(18\/13)*k)\/((k**10\/k)\/k) assuming k is positive.\nAnswer: k**(1634\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 1759.\nAnswer: 1759.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -10. Suppose 5*q = 6*q - l. Let m(v) = 5*v + 2. Calculate m(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*a - 1586, 0 = -2*w - 939*a + 944*a + 1526. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 3. Let t = q - 69. Let m = 162 + t. Does 26 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 97. Let y = -136 + 136. Is i(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9956 (base 16) to base 3.\nAnswer: -1222211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**4 - 4*h**3 - 73*h + 2*h**4 - 37 - 187*h + 252*h - 2*h**2 to q*h**3 + y*h + g + l*h**2 + m*h**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3912 and 1632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -32*i**6 + 81*i**2\/2 + 96. Find the second derivative of y(h) wrt h.\nAnswer: -3840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 - 410*j**3 + 28848*j**2 - 792224*j + 6838784 = 0.\nAnswer: 16, 37, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y. What is the remainder when -67*(y - (-2 - -3)) is divided by 1*92\/(-6)*(-105)\/70?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77912 and 3664.\nAnswer: 35683696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 - 165.99747. Round n to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k + 3. Let l(y) be the second derivative of 5*y**3\/6 + 3*y**2\/2 + 37*y + 2. Calculate -4*l(f) + 3*r(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(448) - (sqrt(448) + -3 + sqrt(448)))**2)*6.\nAnswer: -282*sqrt(7) + 2742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.43 - -0.83. Let f = -5.8 - -6. Which is the second smallest value? (a) -2\/7 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (3 - -1)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310297 - 154791 + 50*l**3 - 155506 - 44*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -47*n. Let t(x) = 2*x**2 + 3*x + 3. Let a be t(-1). Let h(r) = 0*r**2 + r**2 - 6*r**2 + 4*r**a. Calculate g(h(k)).\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {q: 4, a: 8, t: 3, m: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5, 4*q - 6*q + 44 = 3*u. Solve -5*t - 2*w + 1 - 7 = 0, 2*w = 5*t + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 7) to base 13.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 5*c + 23*c)*(15*c + 46*c + 184*c)*(3*c - c - 3*c).\nAnswer: -5635*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11622 + 11621.5. Let k = -3.3 + -1.7. Which is the nearest to -1? (a) -0.2 (b) 2\/15 (c) k (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 8\/3 (b) 3\/2 (c) 0 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/2)*t*t**(-6)*t*t*t**6*t*t*t**4)\/(t\/(t*t**(-1\/3)*t)*t**1\/t*t*(t\/(t\/(t**(1\/2)\/t*t)))**(-17\/2)) assuming t is positive.\nAnswer: t**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 - -95. Let s be 1\/(-3 - w\/20). Suppose -3*l = -y - s, 2*y = -3*l + 4*y + 7. Solve 0 = 4*u - 5*x + 15 - l, 0 = 4*u + 4*x - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/23 (b) 0.221 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/19)\/(c*(c*c**(1\/9)\/c)\/c) assuming c is positive.\nAnswer: c**(-46\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) 151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1596 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o - 12. Let a(m) = 4*m - 7. Let j(f) = -8*a(f) + 5*v(f). Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = -p, 3*p = 7*p - 4*t - 52. Let w = 170 - 72. What is the highest common factor of p and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(sqrt(121)*-1 - sqrt(121) - sqrt(121)) - sqrt(121)*2*1))\/(sqrt(11) + sqrt(132)\/(2*sqrt(12)) + sqrt(11) + -3*sqrt(891))*5.\nAnswer: -170*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-42)\/8))\/((-10)\/(-7)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/22)\/((-2)\/(-24)). Let w(f) = -h*f + 2 + f**2 + 0 + 7*f. Let r be w(2). What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-350))\/(11\/(-220)*-8)*-7)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15394.\nAnswer: 2, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -3, 1, 5, 48.\nAnswer: -6, -3, 0, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -87.8693573.\nAnswer: -92.8693573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 18 - 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59463947?\nAnswer: 23, 2585389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 54208 + 54208.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2 - 5*f - 2. Let t(c) = 3*c. What is m(t(u))?\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(15\/128438))\/(4576\/(-160) - -29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 + -4 + -20 - -9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -264 + 247 - (-16 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, 2.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:10 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -43 - (-37 - -34). Suppose 7*m = 5*m, -5*m - c = -5*f. What is the lowest common multiple of f and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 29. Suppose 2801 = 13*v + 23*v - 3139. What is the remainder when v is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2, 32, 0.3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/9 + 10*t**4\/9 - 2*t**3\/3 - 34*t**2\/9 - 20*t\/9 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(144)\/(sqrt(128)*4))\/(sqrt(27)\/(sqrt(3) - sqrt(48)) + (sqrt(324) - -1*sqrt(324)) + sqrt(9)).\nAnswer: 15*sqrt(2)\/608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-15) - (3 - (-42)\/(-15)). Suppose -3*n + 4*n - 6 = h. Solve -2*i = 5*j - n*j - 1, -4 = -4*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8116663 decades in millennia?\nAnswer: 0.008116663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*g + 3, -4*l = -2*g + 3*g - 9. Let p(a) = -4*a**3 - 376*a**2 + 9. Calculate the lowest common multiple of p(-94) and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/10*(-3246)\/(-78). Let t = o - 58\/13. Calculate the common denominator of -47\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6)*42\/(-16)*-26. Let x = v - -95. Does 7 divide 3 - (-324)\/(8 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 = 4*h - 12, -5*h = 0. Suppose -5*d = 25, -4*n + 0*n = -q*d - 18. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382 + 382 + 337*v to the form r + w*v and give w.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4, 4*h - 67 = -2*a + 71. Let m be 42\/h*15\/9. Suppose g - 82 = -m. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-18)\/x))\/(x\/x**(-11\/6)) assuming x is positive.\nAnswer: x**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32554309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 1) + (76 - (170 + -87))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 453209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3316, -2\/7, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {j: 1, z: 4, n: 3, p: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g - 2*g - 80 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849889 is divided by 298?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.024 - 51.024. Which is smaller: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -6)\/(4\/(-2)). Let l(v) = 3*v**2 - 3*v - 2. Let g be l(b). Solve -4*q - 12 = 4*j, -19 = g*q - 3*j - 0*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*f**2 + 12*f**2 - 20*f**2 to n*f + c + p*f**2 and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8*v + 6 = 6*r, 2*r + v + 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2733566 to the nearest integer?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63442935 to the nearest integer?\nAnswer: 7965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 369, 431, 493, 555?\n\"Answer: 62*w + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 0*i)*(-i**4 + 2*i**4 + 3*i**3 - 5*i**3) + 8*i**2 + 32*i**4 + 148801 - 148801 + i**5 - i**5 + i**5 + 4*i**5.\nAnswer: 6*i**5 + 30*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 1 p when three letters picked without replacement from {g: 1, r: 3, t: 3, n: 3, p: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3)\/(9\/(-39)). Let q = 9 - o. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 31 + 9*p**4 + p**2 + 4*p**3 to v*p**3 + o*p + a*p**4 + y*p**2 + c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 equal to 0.0183024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 131*o**2 - 623*o - 864. Let l be a(126). Solve -j = 4*q - l, q + 0*j - 12 = -4*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.247 - -0.547. Which is the nearest to -0.1? (a) -10 (b) v (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t - 22. Let x be v(-7). Suppose -2*a - 2 = -3*q, 2*a + 36 = 4*q + x*a. Solve 0*b + b = -q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2103*q**3 + 3684*q**3 - 2097*q**3.\nAnswer: -516*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(8\/7))\/l**1)**(5\/11) assuming l is positive.\nAnswer: l**(-40\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w - 4*q - 21, 0 = 5*w + 2*q - 9. Find the common denominator of w - (2 + 3\/(9\/(-4))) and -9\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 72*c. Let q(n) = 61*n + 17*n - 73*n. What is g(q(s))?\nAnswer: 360*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 238.65 to the nearest integer.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -259, -547, -833, -1117?\n\"Answer: m**2 - 291*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6 and -139\/176560260?\nAnswer: 176560260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -217 in -490\/13, 80, -3?\nAnswer: -490\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79891, -319673, -719343, -1278895, -1998323, -2877621, -3916783?\nAnswer: -5115803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 92 = 5*h, -2*h - 1 + 1 = 5*d - 23 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299024 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191\/829485 or 0?\nAnswer: -191\/829485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:50 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 14835632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 - -251. Sort 1, -2, -0.06, a in descending order.\nAnswer: a, 1, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 11683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101 (base 3) to base 14.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 88 - 190. Calculate the remainder when 208 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 73, 5, -51, -4, -3 in ascending order.\nAnswer: -51, -26, -4, -3, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*v + 15227 - 15293 = 0, 34 = -3*f - 4*v + 184 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 76. Suppose 49 = 5*f - u. Suppose 3*j = f + 38. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1784 - -277?\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 2*a**2 + 9*a**2 as u + t*a**2 + v*a and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose x*p = p. Let j(d) = -d + 26. Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-two fifths of a millisecond?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -42*s**2 + 1071*s + 12729. Let z(q) = 5*q**2 - 134*q - 1591. Let g(r) = 4*f(r) + 33*z(r). Factor g(p).\nAnswer: -3*(p + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.04 - -145.04. Let m = h - 87. Let b = m - 50.2. What is b rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 - -435. Suppose 4*a - k = 5*x - 0*x, -9 = -3*x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10093\/2112 - -25\/192. Let y = -421\/88 + w. Let v = -4.2 - -4. Which is the second smallest value? (a) -3 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z**4 + 140*z**3 + 308*z**2 + 120*z.\nAnswer: 4*z*(z + 2)*(z + 15)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q**3 - 2*q)*(0 + 1 + 1)*(-2*q - 3*q + 0*q) + (-4*q**4 - q**4 + 3*q**4)*(2 + 1 - 2).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdxri. What is prob of picking 1 r and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44395518 to the power of 1\/2, to the nearest integer?\nAnswer: 6663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 9. Let i(q) = -q - 11. Let k(m) = 4*i(m) + 5*z(m). Let v(h) = -2. What is 3*k(g) + v(g)?\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*q + 9 = 165*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -349336*g**3 - 129444*g + 2 wrt g.\nAnswer: -2096016*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - -7 - (19 + -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6*d - 45. Let c = d - -26. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178644700 rounded to the nearest 100000?\nAnswer: 1178600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 3\/2, -2, -0.2, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -144*u**2 - 47*u - 4. What is a(-1)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**7\/525 - j**6\/300 + 4*j**5\/75 + j**4\/5 + 48*j**2. Factor y(l).\nAnswer: -2*l*(l - 3)*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(567) + sqrt(7) - sqrt(56)\/sqrt(8)*1.\nAnswer: -4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12023133869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -0.8 (b) 5 (c) -3\/5 (d) 3 (e) -11 (f) -2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 2 v when four letters picked without replacement from hhhhchhevehevhhhhhhc.\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -2 + 15\/3. Suppose -2*q + u*j = -18, 0*q = -3*q + 2*j + 37. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 2*j**4 + j**3 + (0*j**2 + 3*j**2 + 0*j**2)*(2*j**2 - 2*j**2 - j**2) + 2*j**4 + 3*j**2 - 3*j**2 + (-1 + 1 - 3*j**3)*(j + 2*j - 4*j).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -74, -47?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 131.84 times 24\nAnswer: 3164.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 1\/120*b**5 - 12*b**2 + 1\/6*b**3 + 0 - 1\/16*b**4 + 0*b. Factor j(l).\nAnswer: (l - 2)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(2\/8). Let d = u + -5. What is the units digit of (-65)\/(-7) + 2\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96857, -193537, -290039, -386363?\nAnswer: -482509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.3225713 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 11*t + 5*b = 406, t - 5*b = 218. What is the highest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 0.37. Which is the nearest to 2\/5? (a) 3 (b) -2\/27 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-544)\/(-108) - 3 - (-126)\/(-3402). Let u be (-3 - -1)*2*-1. Solve -u = f*c, -c - c = 2*j + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5694096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 45*a**2 - 24*a + 65. Is c(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85819?\nAnswer: 85819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)\/((s*s\/s**(-6)*s)\/s)*s*s*s\/(s\/((s\/s**(-1))\/s))*s**(-7) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11564*v**3 + 2*v**2 - 34323*v - 2?\nAnswer: 69384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -30\/251?\nAnswer: -30\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*t - 40, -6*t + 5*t = -5*b + 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/3)\/(-1) + 1360\/136. Solve 0 = n - 2*n - 2*b + 6, 3*n = -f*b + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**17))**(-18)\/(a*a**30*a*(a\/a**27)\/a) assuming a is positive.\nAnswer: a**(-311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -2)\/((-13)\/(-5) + (-12)\/20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*sqrt(4032) - (-2 + sqrt(4032)*2))**2 + 3.\nAnswer: 576*sqrt(7) + 16167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56291, -112659, -169027, -225395?\n\"Answer: -56368*h + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108653, -3, 4.\nAnswer: -108653, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3 - 4. Suppose 0 = g*i - 2*i - 1285. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 7*u + 5. Suppose 66 - 50 = 4*g. Calculate the least common multiple of n(-5) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024610?\nAnswer: 2, 3, 5, 7, 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352585430?\nAnswer: 2, 5, 167, 211129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/7)*(((f*f*f\/f**(-4\/3))\/f)\/f)\/f)\/(f**(-4\/7)*(f*f**(1\/7)\/f)\/f))\/((f**0)**(3\/34)\/((f*f**6*f)\/f**(1\/3))) assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 769455, 769424, 769393, 769362?\nAnswer: 769331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 - 1314*a**4 - 203622*a**3 + 77163444*a**2 + 9832801827*a - 61729032978 = 0. Calculate a.\nAnswer: -157, 6, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 90. Let w(g) = 4*g. Calculate w(j(k)).\nAnswer: -4*k**2 + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15366842 rounded to 3 dps?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 0.08, 0.2, 1, -2\/3.\nAnswer: -2\/3, 0.08, 0.2, 1, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 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: Suppose -20*a = -6*a - 280. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (95\/10)\/((-3)\/(-210))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(15)\/sqrt(5) - (-1*sqrt(15) + sqrt(15))\/sqrt(5))**2 - 6*(sqrt(363) + -1 - sqrt(363))*-3.\nAnswer: -6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36460221 - -510?\nAnswer: 36461031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15064 is divided by 2489?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31512 and -0.334.\nAnswer: 10525.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/6 - 371*g**4\/2 - 552*g**3 + 3330*g**2 = 0. What is g?\nAnswer: -1110, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 1161*f**4 - 115194*f**3 - 555246*f**2 - 769539*f - 328329 = 0 for f.\nAnswer: -191, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10589*h = -10582*h - 8519. Calculate the remainder when h is divided by 241.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/5 + 16821*j\/5 = 0 for j.\nAnswer: 0, 5607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*z - 824 - 1441, 5*z = 5*u - 2825. Let b = 630 + z. What is the remainder when b is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8494 > -8494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and 1.1331?\nAnswer: 6.8669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -628 divided by -314.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -13*d**2 - 3*d. Let b be k(-2). Let m = b + 71. Suppose 0 = 4*a + h - 805, 3*a + h - 827 = -222. Calculate the highest common factor of a and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.19 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13050064577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyxx when four letters picked without replacement from yhhhphxhrhrxryhhh.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 11536*m\/11 + 18936.\nAnswer: -2*(m - 5786)*(m + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 17*t**2 - 9*t - 145. Let g be i(-17). Solve -g*q + 14*q = -24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5417 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-2 - ((sqrt(34)*-1)\/sqrt(2) + sqrt(17)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 8*q**2 - 2*q - 12. Let y be a(-8). Let x(f) = 84*f - 66. Let o(t) = -17*t + 13. Let i(d) = -21*o(d) - 4*x(d). What is the units digit of i(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose -4*f + s*t + 1 = 3, 0 = 3*f - 4*t + 14. Let h(q) = -1 + 7*q - 1 + q - 4 + 2*q**f. Let z(p) = p**2 + 3*p - 2. What is -3*h(x) + 8*z(x)?\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b + 146 = 17 - 742 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*c - 30, 0 = 5*o - 812*c + 817*c + 130 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 6, t: 2, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -219\/121, -0.01, -4\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 94. Let f(m) = 2*m. What is k(f(j))?\nAnswer: 6*j - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + -130 - (-21 - -2) - (-1 - 26).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 21600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9857880 divided by 164298.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2655 and 801220.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/9)\/(1\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 86*z + 78. Calculate k(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -7*h**4\/24 - 3*h**2. What is c(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.98 and 51.\nAnswer: 49.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 - 909*w**3 + 2745*w**2 - 2751*w + 918 = 0. Calculate w.\nAnswer: -306, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5\/2 (b) 1509 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 3*q + 2*q - 1 + (-10*q + 20*q + 12*q)*(3 - 19 - 8) in the form y + k*q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, -n = 4*n + 3*i - 10. Suppose -10 = n*g - 38. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 + 3*r**4 - 32*r - 21*r + 35*r with respect to r.\nAnswer: 12*r**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 12*j**2 - 56*j - 428. Let r be v(-8). Which is smaller: r or 3621\/2?\nAnswer: 3621\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwhwhwwhhhhwwwhwhw. What is prob of sequence whh?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 39500\nAnswer: -79000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**3 + 4*i - 6. Let v(h) = -3*h**3 - 3*h + 5. Let m(f) = -f**3 + 7*f**2 - 6. Let y be m(7). Suppose 5 = 5*z + 30. Determine y*v(p) + z*w(p).\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let o(i) = -826*i**2. Determine o(z(g)).\nAnswer: -826*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 723521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 124 - 96. Solve -2*p + t*b = -7 - 1, -24 = 4*p + 4*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*a + 4*a + 3, 0 = -2*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.67 - 12.29. What is s rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3188357 to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7 + 10*q**2 - 17*q**2 - 2*q**3 + 3*q**2 - q. What is the tens digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/12 + 4335\/68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. What is the third derivative of q**4 + 0*q**4 - 8*q**2 + 0*q**4 + 11*q**r wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*r**2 + 3280*r**3 - 3411*r**2 - 388*r**3 + 2635*r**3 wrt r?\nAnswer: 33162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*p - 890*p = -5*y + 1, -y + 4 = 4*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*r + 4 = 0, -3*k = 6*r - r + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 0.00106911.\nAnswer: -12.00106911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022000211 - -12?\nAnswer: -1022000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/2 - 115629*f**2\/2 + 1099754685*f\/2 + 278739024525\/2.\nAnswer: 3*(f - 19395)**2*(f + 247)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195534903 is divided by 990.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -99, -342, -815, -1596, -2763, -4394, -6567?\n\"Answer: -13*v**3 + 2*v**2 - 6*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1 + 2 - 8. Suppose -9 = -3*k - 42. Let z = x - k. Solve -4*y + 24 = -z*t, 2*y - t - 16 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + -0.8. Let o = k + 6. Which is the second biggest value? (a) o (b) 3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13*g = 16. Suppose g*n = -5*k + 318, 3*k - n = 150 + 43. Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 328*d + 4. Let h(r) = -82*r + 1. Let w(g) = 12*h(g) - 3*s(g). Let n(v) = 18*v**2 - 62*v**2 - 84*v**2. What is w(n(z))?\nAnswer: 49152*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {x: 3, o: 2, l: 4, i: 1, t: 4, g: 3}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*m + 223*m - 75*m + m**3 - 74*m + 25037.\nAnswer: m**3 + 25037","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3735.1 times -2?\nAnswer: 7470.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 4*x**2 + 4*x + 7. Let t be (-1)\/6 - 93\/(-18). Let w be a(t). Let g = 1 + w. Solve g*c + 1 + 5 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205804 and 859008?\nAnswer: 19757184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -299622 - 4?\nAnswer: -299626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 7*r - 165. Let m be (-3)\/2 + r\/6 + -2. Let i = -1 + 1. Solve 0 = -i*c + m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 3*t**2 - t - 1. Suppose 3*v - 3*i - 2 = 1, 10 = 4*v + 2*i. Let j be y(v). Let x = j + -2. Let f(z) = 9*z + 1. Give f(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5.2. Let k = j + 5.2. Which is the third biggest value? (a) k (b) 1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 9*l**7\/70 + l**5\/10 - 38*l**4\/3 - l**3\/3 - 306*l**2. Find the second derivative of c(f) wrt f.\nAnswer: 324*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 577, 598, 597, 562, 481, 342, 133, -158?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -9*f**4\/28 + 362*f**3\/21 - 1840*f**2\/7 + 800*f\/7 - 900. Let x(j) = 0. Calculate j.\nAnswer: 2\/9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 286, 0, -5, -2\/41, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -60, -41, -4, 57, 148, 275, 444?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 - 122. Let a = s - -64. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/2 - 7*n**3\/6 - 9*n**2\/2 - 5*n + 16. Let y(h) = -5*h**3 - 4*h - 5. What is -4*g(a) + 7*y(a)?\nAnswer: 5*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 2*m + 34 = -2*p, m + 11 = 2*p. Suppose 2*t - 2*y + 35 = -p*y, -4*t - 4*y - 76 = 0. Let l = t + 35. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1 - 4 - -2). Let h be (1 - 7\/3)*(2 - w). Which is the nearest to -0.08? (a) 0 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 17*g + 14*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.01 + -1. Let d = x - -2.99. Let l = 2.1 - 0.1. What is the biggest value in -5, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2 (c) 10 (d) 0.5 (e) 319 (f) 0 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.2. Let f = 0.099996 + x. Let m = f - 0. Round m to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1708, -1773, -1838, -1903?\nAnswer: -1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6794 + 6797. Sort 0.3, s, -3, 4, 70 in decreasing order.\nAnswer: 70, 4, s, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 10:01 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r - 6977 + 7285 = 0. Calculate the highest common factor of r and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -827, -804, -743, -626, -435, -152, 241?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 53*o**2 - 226*o - 116. Calculate z(57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 850 - 67. Let h = 1400 - b. What are the prime factors of h?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/104837384 and 51\/104837384?\nAnswer: 104837384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-12) + 5 - (-2 + (-51)\/(-24)). Let o = -2 - -1.99. Put -4, f, 0.2, o in decreasing order.\nAnswer: f, 0.2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-12) + (106\/15 - 4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114 - -123. Calculate the lowest common multiple of (0 + 30)\/(y\/6) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(150) - sqrt(150))\/sqrt(6))\/sqrt(720) + (sqrt(80)*3 - sqrt(80)) + (sqrt(80))**2.\nAnswer: 8*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 565 - 178. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -511*b**4*d + 2*b*d + b + 39*d wrt b.\nAnswer: -6132*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/7 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 13*x**2 - 11*x - 15. What is k(-12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*c + 731*c + 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102209\/35123 + -3\/3193. What is the common denominator of 38\/59 and p?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**1\/h*h*h)\/((h**(1\/4)*h)\/h*h))**22)**(-13) assuming h is positive.\nAnswer: h**(-1001\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 1, a: 1, j: 2, b: 1}. What is prob of sequence rba?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y - 2*y**3 - 79 - 19*y.\nAnswer: -2*y**3 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4 + 5 - 9 + n - 1. Determine m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*41.2964.\nAnswer: -660.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*k**2*o**2 + 7*k**2 - 245*k*w - 2*k - 45*o**3 - 43*o*w - 2*w with respect to o.\nAnswer: -28*k**2*o - 135*o**2 - 43*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/740*(-22)\/33. Let i = -191\/148 + j. Which is the fourth biggest value? (a) i (b) -3 (c) -4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94770876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441551 and 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01192 less than -0.8?\nAnswer: -0.81192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/9, 11, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Suppose -p*y + 3*y + 4 = 0. Suppose 5*f - y*m - 361 = 0, 85 = f - 0*f - 4*m. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1182.4 - -1182. Let l = -16 + 9. Let k = -13\/2 - l. Which is the second biggest value? (a) k (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 10*n**2 + 11. Let k be (30\/(-8))\/((-12)\/128*4). What is the tens digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9524577 by -111.\nAnswer: 85807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -464.06 + -9.94. Let y = d - -474.00000016. What is y rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -77*v**3 - 6. Let w(k) = 4 + 39*k**3 - 7 + 6. Let y(l) = 4*r(l) + 9*w(l). Differentiate y(p) with respect to p.\nAnswer: 129*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (812\/145)\/((-6)\/(-15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 6, v: 7, w: 1}. Give prob of sequence qvv.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from {x: 2, k: 6, y: 5}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15\/4 + -4. Let i = -2.3 - -3.3. What is the nearest to 1 in l, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 9) in base 5?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 13*w**2. Let z be a(13). Solve z = -3*y + 4 + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*((-1 + sqrt(176)*-2 + 5)**2 - (-5*(sqrt(176) - (-1 + sqrt(176))**2) + (sqrt(176)*1)**2 + -1)).\nAnswer: -2720 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1222\/9 + 136. Which is the third biggest value? (a) 3 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -0.1 (c) 43 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 23390 = -3*n, -n - 4*w = 2478 - 10298. Does 104 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97020501 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6757792 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 3. Let p be b(-3). Suppose -p*g = 4 - 25. Let y = -1115\/3 - -379. Is y equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -310\/2249 + 11994458\/20241. Let j = f - 592. Which is the third smallest value? (a) -0.2 (b) 5 (c) j (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c + 6. Let a(d) = -d - 1. Let x(r) = -6*a(r) - q(r). Let h(k) = 16*k. Calculate h(x(y)).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g. Suppose 0*i = -3*i + 9. Let s(c) = 3*c**3 + 10*c**3 + 3*c**2 + 2 - 22*c**3 + 11*c**3 - c. What is i*d(f) + s(f)?\nAnswer: 2*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1449952 - -157.5?\nAnswer: -1449794.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4491 - -0.0473. Let n = x - -0.0336. Round n to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 28\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4888 and 43992.\nAnswer: 43992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/476 and 75\/15393602?\nAnswer: 30787204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4644912 divided by -16.\nAnswer: 290307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + c - 29 = 0, 147*c - 141*c - 4 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(320)*-1 + sqrt(720) + 1 + sqrt(720) + 5 - (sqrt(25) - 3*sqrt(400))\/(sqrt(5)*-3*2))**2.\nAnswer: 170*sqrt(5) + 37421\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 178 = 22. Let y be (1 - (-108)\/r)*-10. Let h be ((-6)\/16)\/((-99)\/y). Which is the closest to 0? (a) h (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = 4. Solve k = 2*i + 4 - 12, 6 = x*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31.8? (a) -0.5 (b) -0.4 (c) 1\/3 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 39526*d + 1862140.\nAnswer: -2*(d - 47)*(d + 19810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934 + 79*b + 467 + 467 - 55*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 5?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 413115064 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: What is the highest common divisor of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/19064 (c) 1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10542470 rounded to the nearest 10000?\nAnswer: -10540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/14)\/4)\/((-1)\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*-12*1. Let q = s + 64. Suppose -2*b - 24 + q = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7119 by 538.\nAnswer: -7119\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -2\/7 (c) -3 (d) -1.05 (e) 0 (f) 20 (g) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 18 = 2*j, 5 = -2*k + 3*j + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 39*h + 15. What is c(-9)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -68*g - 19. What are the prime factors of r(-4)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037103844 to seven dps.\nAnswer: -0.0000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let a = 5 - v. Find the second derivative of -5*w**4 + 3*w**4 + 2*w**a - 5*w**4 + 2*w wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 128, 183, 232, 275?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10 = -2*y, 4 = -2*y - x - 2. What are the prime factors of 7641\/54 + (3\/(-6) - y)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 24 + 4 + -3. Suppose 3*s = 5*s - 8, 5*s = a - u. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1256 - 85*l - 628 - 628.\nAnswer: -85*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*b + 23. Let h = 11 - b. Suppose 4*i - 77 + 13 = h. What is the least common multiple of 12 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-34 + 14 + 18 + -25)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 29*o - 100. Let g be t(25). Suppose g*q - 56 = -4*f - 4*q, 3*f = -5*q + 40. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -113. Solve s*h = -2*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 125*b**2 - 107*b + 107. What is m(1)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 + u - 4. Let m be x(-4). Let d be m\/2 + (1 - 1). Solve 3*y + 9 = 0, -3*p = -2*y + d + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*b + 2*b**3 + 32*b**5 - 45*b**5 + 59*b**5 wrt b?\nAnswer: 920*b**3 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179291 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*j - 48, -g - g - 2*j + 16 = 0. Suppose -2*s = 2 - 6. Let o = 83\/515 - -4\/103. Which is the closest to -1? (a) s (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31493 by -4.\nAnswer: -31493\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1041 = -59. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 69795*g**2 - 25377*g**2 + 0 - 53164*g**2 + 2)*(-g**2 + 2 - 2) to the form x*g**4 + n + m*g**3 + q*g + l*g**2 and give x.\nAnswer: 148336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/7))**6\/((n\/n**(-15))\/n*n*n*(n*n**(-9)*n)\/n))**(-22\/5) assuming n is positive.\nAnswer: n**(726\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 896703\/10 < 89670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 14 = -28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-5)\/(50\/(-60)). Solve -t - 10 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 1273, 4327, 10279, 20095, 34741?\nAnswer: 55183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/z**2*z))**21\/((z**(-4)\/z)\/z*z**(-1\/8)))**12)**(-4\/21) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16055766?\nAnswer: 2, 3, 73, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 + 1. Let q(g) = -7*g**3 + 5*g**2 + 2. Calculate 4*b(x) - q(x).\nAnswer: 3*x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94175358357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49811 (base 14) in base 16?\nAnswer: 2bee7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 216*r + 1031. Let w be g(103). Sort 5, w, -9, 4, 13 in descending order.\nAnswer: 13, 5, 4, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1*k*k)\/k)**(1\/28)*k**(-1\/5)*k*k**(-4))\/(k**(-4\/7)\/(k**5*k))**(-21\/4) assuming k is positive.\nAnswer: k**(-1317\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**6\/45 + g**5\/5 + 13*g**4\/18 + 4*g**3\/3 + 4*g**2\/3 + 8*g. Factor a(i).\nAnswer: 2*(i + 1)**2*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27091085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**4 - h. Let y(q) be the second derivative of q**6\/5 + q**4\/6 + 7*q**3\/6 - q**2\/2 - q. Let p(v) = -14*j(v) - 2*y(v). What is x in p(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/14)\/((-2)\/4*(-112)\/(-98))*-8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.039\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + sqrt(153)*-2))*1 + 3.\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*5 - (sqrt(5) + -1 + -2).\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7918569, 15837140, 23755711, 31674282, 39592853?\nAnswer: 47511424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26925688?\nAnswer: 2, 17, 29, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1179 + -1095. Calculate the highest common factor of 1386 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 3*y**2 - 5. Let n(j) = 3*j**2 + 2*j - 1. Let k(t) = -36*t**2 - 18*t + 9. Let s(r) = 2*k(r) + 18*n(r). What is s(m(o))?\nAnswer: -648*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = -2*k, 3*n - 3 - 3 = 0. Let y be (2\/(-3))\/(k\/6882). Suppose d - 4*d = -3*w + 1374, -3*w + y = -5*d. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t**5\/13 - 116*t**4\/13 + 452*t**3\/13 - 640*t**2\/13 + 114*t\/13 + 180\/13 = 0. Calculate t.\nAnswer: -2\/5, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-2\/7))**(3\/8)*(a*a**(6\/11)*a*a)\/a**(-10))**35)**(-6) assuming a is positive.\nAnswer: a**(-33270\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238702*a*n**2 - a*n + 855*a + 4 wrt n?\nAnswer: -477404*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -350, 0, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*h + 254380 + 202125. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 1 + sqrt(567))*-2*4)**2*2 + -2.\nAnswer: 2612734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*y**(4\/7)*y)\/y*y\/((y\/((y**(-12)\/y)\/y*y))\/y*y))**5)**17 assuming y is positive.\nAnswer: y**(-5610\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*k - v - 9, 4*k - v = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - 8268620661.\nAnswer: -8268620661.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 16. Solve 2*u - 6*w = -4*w - 8, 3*w = -4*u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.041, 3\/4, -1 in increasing order.\nAnswer: -1, -0.041, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*r = 2*s + 29, 2*r - 22 = -4*s. Suppose -2*p + 1 = -s. Solve 5*w + 117*w**3 - 6 - 114*w**p + 20*w + 18*w - 42*w**4 + 2*w = 0 for w.\nAnswer: 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84.5 + -124. Let m = 34.5 + s. Which is the nearest to -2? (a) -1\/7 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3938*b**4 + 438*b**3 + 3*b**2 - 556825*b - 2?\nAnswer: -94512*b + 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(108)\/sqrt(6))\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3081360457?\nAnswer: 7, 440194351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -5*s - 3*k - 97, -4*s + 3*k - 265 = 0. Let j = s + 122. Suppose j = 5*o + 4*q, -5*o = 3*q - 30 - 26. Solve o = -2*p + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, -43\/5, 1\/4, -0.4 in decreasing order.\nAnswer: 1\/4, 0.2, -0.4, -2, -43\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1833913 divided by -289.\nAnswer: 1833913\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -516\/91 + 70\/13. Let j = t + 3\/7. Factor 2\/7*q - j*q**2 - 1\/7.\nAnswer: -(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2430*q - 19646. What is x(-8)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from mmkmcmckmmmccmckmkm?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**5 - 1476456*w**4 + 38389788*w**3 - 284974832*w**2 + 460686144*w - 212624640 = 0.\nAnswer: -369140, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 358*w - 356*w + 0*w**4 + 4*w**4 + w**4 + 0*w**3 + 0*w**3 + (-3 + 0 + 1)*(-6*w**4 + 3*w**4 + 2*w**4).\nAnswer: 7*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 144 + (-3 - -10) + -2. What is the greatest common divisor of f and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from ktdkddkkktdkkdttdkkk.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (42\/(-7) + 5)*157*-11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-4195)\/140) + -23.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 37*p + 132. Let u(q) = 12*q + 46. What is -4*d(x) + 11*u(x)?\nAnswer: -16*x - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 2*t + 2*t - t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2965039 or -2965042?\nAnswer: -2965039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 473828737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198.266 + 0.266. Let p = -198.1 - a. Let i be 135\/42 - (-4)\/14. Sort p, i, 0.5.\nAnswer: p, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56617 divided by 16\nAnswer: -56617\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 3, t: 4, x: 2, y: 3, w: 2}. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2, 0*v - 5*v - 4*x + 149 = 0. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(2\/((-140)\/(-15))). Let d be (1 + (-19)\/(-3))\/(l\/(-21)). Let c = d - -27. Solve 6 = -4*z - 2*b, -c*b = -6*b - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298628.3 millilitres in litres?\nAnswer: 298.6283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:17 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/p**(-1)*p)\/p*p)**20\/(p\/(p*p**(-5))*p**2)*((p*(p*p**(-1))\/p)\/p*p)**0*p**(-3)\/p**2 assuming p is positive.\nAnswer: p**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469\/4495 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - w - 569, 420 = 3*o - 3*w. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -0.8 (d) 10 (e) -4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 3*r + 11. Let d = r + 27. Suppose -2*v = 5*x - 23, 0*x + 28 = 4*x + 4*v. Is x at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 12*f - 6. Suppose 0 = -s + 5*s + 4*m, -2*s - 5*m = -12. What is the units digit of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39627 and 2664.\nAnswer: 317016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92 + -45 - 29) + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -130, -132, -136, -142?\n\"Answer: -x**2 + x - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/52*(-41990)\/(-25840)\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o**2 + 11*o**2 + 3*o**2 + (-6*o + 0*o + 2*o)*(o - 5*o + 2*o) as k*o + v*o**2 + a and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83 + 82)\/(-4 - (-93)\/23)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(72) + 1 + sqrt(72))*-3)**2.\nAnswer: 864*sqrt(2) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 106039*t + 113567773. Calculate y(-1071).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -33930\nAnswer: 33930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksks when four letters picked without replacement from {s: 3, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16622\/13 at most 1279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.034, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0270105*0.1.\nAnswer: -0.00270105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldllllldldd. Give prob of picking 2 l.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 28*o - 13*o + 10*o + 9*o + 14*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(136) - -3*sqrt(136)) + 5*(sqrt(136)*1 + sqrt(136)))\/((sqrt(256)\/(sqrt(8)*1) - sqrt(32)) + (sqrt(160) - (sqrt(160) + sqrt(160)*1))\/sqrt(5)).\nAnswer: -13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = 0, 30105*d - 30108*d = -5*k + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 799*x + 821*x - 2436*x + 812*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(1*5\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.0502 kilometers to centimeters.\nAnswer: 2505020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 2:57 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 849313937 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 + b. Let w(q) be the second derivative of q**2 - 1\/12*q**4 - 1\/3*q**3 - 2*q + 0. Let x be w(-3). Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12755 and 7507593?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11698*s + 11707*s = -9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 7*d + 14. Let b(s) = -6 + 19*s**2 - 43*s**2 + 22*s**2 - 1 + 29*s - 33*s. What is 11*b(q) + 6*j(q)?\nAnswer: 2*q**2 - 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from tdxtddxxtdttttdkd.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:56 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321321101 (base 4) to base 13.\nAnswer: 83c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 11 - 1)*(-2*s**4 - s**4 + s**4) + (-s - s + 0*s)*(s**3 + 3*s**2 - 3*s**2) to the form f + a*s**3 + u*s**2 + z*s + o*s**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6f3 (base 16) to base 9.\nAnswer: -71218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfdkkfykdkkf. What is prob of picking 1 d and 3 f?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100\/407 or 1?\nAnswer: -100\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1203 and -93324.\nAnswer: -112268772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -20*a + 961. Let m be f(48). Sort m, -144, -5.\nAnswer: -144, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.919 - -0.081. Which is the third smallest value? (a) n (b) 2\/15 (c) -0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 7*h**2 + 40*h - 3*h**2 - h**2 + 20 + 12*h**2 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -837.383 - -837. Round m to 2 decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/7, -6, 2\/19, 6 in descending order.\nAnswer: 6, 0.5, 2\/19, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 27*h - 124. Let j be z(31). What is the smallest value in j, 3\/7, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 99*f - 2. Let j(u) = 102*u - 1. Give -3*j(d) + 2*k(d).\nAnswer: -108*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v + 781. Determine h(62).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 721.7 less than -112?\nAnswer: -833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose -t = -5*z + 16. Factor 5*v**z - v - v**4 - v**4 - 9*v**2 - 2*v + 3*v**3 + 6.\nAnswer: 3*(v - 1)**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0507 times -1\nAnswer: -0.0507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/11)*a**(2\/5)*a*a**(-1)*a\/a**(2\/11))**(3\/2) assuming a is positive.\nAnswer: a**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71386, 71385, 71384?\nAnswer: 71383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 1492*z + 81048.\nAnswer: 4*(z - 307)*(z - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*j**3*o*x + 2*j**3*o - j**3*x + 10*j**2 - 2*j*x + 2*o*x - o wrt j.\nAnswer: -582*o*x + 12*o - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhaovoooho. Give prob of sequence ivoo.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -55. Let o = 25 + r. Is 1 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/2*(-102)\/119*14. Which is smaller: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 59*f**2 - 3*f - 4. Is 17 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/65 not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 989.5913 litres in millilitres?\nAnswer: 989591.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -19*w + 118. Suppose -u + 177 = w*y, 62 = 2*y - 7*u + 3*u. Suppose 360 = y*a - 31*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127874 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-988460)\/(-215664))\/((-11)\/16).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u**4 + 2*u**2 + u + 4*u**4 - 3*u**2 to the form p*u**4 + s + j*u**3 + i*u + t*u**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -676 - -955. Let s = t + -116. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161329000 rounded to the nearest one million?\nAnswer: 161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0417506362 rounded to six dps?\nAnswer: -0.041751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*s - 741*s - 2042 - 43298 = -8701 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -17, -47, -89, -143, -209, -287?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmnnmn. What is prob of sequence nmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25184\/51 + -8400\/17. Let s be -2*1\/(-2) + -2. Are p and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 738751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 1. Let s(r) = 125*r - 2. What is -s(g) + 2*v(g)?\nAnswer: -121*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.49 - 4.2. Let k = -1.29 + h. Which is the third biggest value? (a) k (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-25)*(-505)\/(-303).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x, 0 = 5*q + 3*x + 2*x - 115. Suppose -72 = -q*v + 33. What is the highest common divisor of 3 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 23936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let b be (-2)\/(-12) - (-685)\/30. Suppose 0 = -3*t - 5*x - b, 0 = 3*t - 2*x - 0*x - 5. Let z = -7 - t. Let o(s) = s - 3. Calculate z*w(y) - 2*o(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8344, 16686, 25040, 33412, 41808, 50234?\n\"Answer: a**3 + 8335*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7208245.\nAnswer: 5, 11, 131059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-14)*(-507 + 1). Suppose 405 = 4*y - g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -289, -287, -283, -277, -269?\n\"Answer: b**2 - b - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:55 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 12. Let a be (-2)\/(-14) - 3\/(21\/134). Is w greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -6. Suppose -4*k = 1 + 3. Let u be -1 + k + (-176)\/(-77). Which is the closest to u? (a) 0.2 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 71.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2853 - -2855. Let w = -8 - -18. Let o(c) = -8*c**2 - 2*c**z + 2*c**2 - w*c**2. Let p(s) = 2*s. What is p(o(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -32*l**3 - l**2 + 2*l + 9. Let u be z(-4). Suppose -1537 = -35*h + u. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = -3*a + 1985, 0 = 3*a + 4*g - 2000. List the prime factors of a.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -263, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3200*v = -3183*v - 68 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5901446.57 to the nearest one hundred.\nAnswer: 5901400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 + 3*u + 2. Let z be y(4). Suppose -z*o = -9*o. Which is the smallest value? (a) o (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:25 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 297184814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -14. Suppose -4*a + l = -6*a. Let w be (-10)\/(-20) + (-7)\/(-2). Sort 1, 0, a, w.\nAnswer: a, 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - x + 24)*(-x + x + 2*x)*(-5 + 5 + 9*x).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 140. Suppose t + t - 3*u - 30 = 0, -3*t + n = 4*u. What is the remainder when 88 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u - 18. Let l be g(-5). Suppose -7*r = -l - 19. Let a(i) = -i**2 + 6*i - 4. What is a(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -29367*b + 763753. Calculate i(26).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/6 + 3*o**2\/4 + 19. Find d such that a(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 449967 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106 * -0.052.\nAnswer: -5.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*x + 9, 3*x - 5 = 5*x - 3*h. Find the third derivative of -4*v**4 + v**2 - 4*v**x + 2*v**2 wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 6 + -2 - (-8 - -9). Suppose 0 = -3*x - h*x + 5*g + 25, -3*x - g + 19 = 0. Let i(d) = x*d + d + 5*d - 14*d. Let t(z) = -11*z. Calculate t(i(a)).\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 196\/10 - (-6)\/15. Suppose -2*p + p = 0. Let t(u) = -u**2 + 7*u + 3. Let o be t(7). Solve 4*b = -o*l - 10, p = 2*l + 2*l - 3*b - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 369 divided by -369\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7096 and 128.76.\nAnswer: 130.4696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 - -5. Let m = 5 + -5. Which is the nearest to m? (a) 0.3 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(1 + (-9)\/(-6)). Let s = 16 + -17. Put u, 2, s in increasing order.\nAnswer: u, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 81*b\/4 - 410.\nAnswer: -(b - 41)*(b - 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 + 0 + 4*z**4 - 2*z**4 + 2*z + 0 to m*z**3 + n*z**4 + g*z**2 + r*z + q and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + 1 - (-171)\/135. Let r = d + 161\/15. What is the common denominator of -11\/30 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29526 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - w = 50, 0*r - 49 = -4*r - w. Suppose v + 3 - 10 = -2*b, 0 = 4*b - 3*v + r. Let f(h) = -6*h + h - 5 + 0*h + b. Give f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/33 - ((-772)\/11)\/1. Let c be (1 + -13)\/((-15)\/g). Suppose -22 = -3*d + c. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29929*k**3*q**3 - k**3*q - 5911*k*q wrt q.\nAnswer: 179574*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -567? (a) -3\/4 (b) 0 (c) 1 (d) -2\/15 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188.2 + -187. What is the closest to b in -0.4, 0.5, -3, 0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 + 61d?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 542.39 * 0.03.\nAnswer: 16.2717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152180 - -215495. List the prime factors of y.\nAnswer: 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/35733945 and -119\/5340.\nAnswer: 142935780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 + 287*p**4 + 5890*p**3 + 15958*p**2 + 15389*p + 5035.\nAnswer: (p + 1)**3*(p + 19)*(p + 265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 - 104. Suppose -4*l + d = -129. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125497.\nAnswer: 125497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 0.48.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 15 - k + 139 + 449 - 12*k in the form f*k + m and give m.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 n when four letters picked without replacement from npppppppn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -4 + 85\/5. Suppose -j = k + 5*r, -4*r + 16 = -2*k - 2*k. Let y(c) = c. Let f(i) = 3*i. Determine k*y(q) + f(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*r + 0 = 4, -w + 4*r = -11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 3*t - 3. Suppose 7 = f + 1. Calculate the remainder when h(-2) is divided by (8\/f)\/((-2)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssstts. What is prob of picking 3 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 48 (c) 388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.81 + 1.19. Let i = f + -21.00000013. What is i rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:43 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 10*i**2 - i + 7. Let z be n(5). Let p = 26 + -7. Suppose -z = 3*t + 4*b, -3*t - t - b = -p. What is the highest common factor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 4*b**2 + 0*b**2)*(6 - 5 + 1 + (0 + 2 + 1)*(3 + 0 + 0))*(-7 + 4 + 1).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/10*(-22)\/((-682)\/(-2015))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.683 - 46.583. Let x = o - -48. What is x rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -u + 4*u. Suppose 5*m + 4*b = 50, 0*b - 25 = -u*m + b. Let s(q) = 3*q - 9. What is s(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573509, 1146997, 1720521, 2294099, 2867749, 3441489?\nAnswer: 4015337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 11 - 37 = 4*g, 70*g - 64 = -w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 293461 at least as big as 293463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6426*d + 726134. Calculate p(-113).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 5. Let w = 22 + v. Solve -w*j - 23 = 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + b - 68 = -3*b, -142*s - 151*s + 292*s + 5*b - 86 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 187, 178, 157, 118, 55, -38, -167?\n\"Answer: -t**3 - 2*t + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4847923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0346 + 22.9654. Which is the biggest value? (a) 1\/3 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028.4 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**5 - 2*v**5 + 2*v**5)*(28 - 12 + 75).\nAnswer: -182*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266.9 + 267. Which is the nearest to -0.1? (a) x (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96746503 = 2*u + 3*d - 15446515, 3*d + 121949988 = -3*u. Round u to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -11. Let w(c) = -2 - 1 + 4. Let d(a) = 8*a - 6. Let h(n) = o*w(n) + d(n). Let f(u) = 2*u. Determine h(f(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 14. Let w = 197 - 146. Calculate the remainder when u(-43) is divided by w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -204*-6338\nAnswer: 1292952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 13) to base 3\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4842, -272 in increasing order.\nAnswer: -4842, -272, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -12. Which is bigger: 2\/41 or u?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 8*l**2 + 6*l - 33. Determine z(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4*10\/4)\/(1410\/(-94))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -29\/3. Suppose -3*w - 3*n = -5*w + 11, -4 = -w + n. What is the closest to 1 in y, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*x - 10 = 0, -4 = y - 2*x + 6. Let c(b) = -3*b - 2*b - 1 + 4*b. Let k be c(-1). Sort y, -1, k in descending order.\nAnswer: k, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 36*q - 4*f = 0, 16*q + 5*f - 3*f = 45*q - 125 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098958 divided by -516493?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*d**3*u**2 - 38*d**3*u + 2*d*u**2 + u wrt u.\nAnswer: -184*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35, -22 in descending order.\nAnswer: 35, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 15*z**3 + 65*z**2 + 40*z - 60 = 0.\nAnswer: -3, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 19?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.58 + 29.58. Let c = -0.2 - -25.2. Let r = a - c. Sort r, 0, -0.2, -4.\nAnswer: -4, -0.2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451\/(-1353) + (-73747)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - -2194110010?\nAnswer: 2194110010.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-8)\/(-52) + (-72)\/130).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00132266 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261680740?\nAnswer: 2, 5, 63084037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*s + 4*v, -2*v = -3*s + 2*v - 19. Let z be 2\/1 - (s + 2). Is 3 a factor of ((-21)\/14)\/(z\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -544*g*l**3 - 32*g*l**2 - 2*g*l + 15*g + 362*l**3 + 3091*l + 1 wrt l?\nAnswer: -3264*g + 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r - 18. Suppose 3*s = -5*s. What is x(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r - 12. Let z be a(-4). Let l be -6 - 3\/(-1 + 0). Put z, l, -2, -1 in descending order.\nAnswer: z, -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/(900\/2160).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1374 greater than -17845\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o - 518 = -202*o + 1295 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7*180\/60)\/((-4)\/(-7)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*m + 4515 = -131*m + 157*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/10 - -167\/70. Let m = -508\/91 - -80\/13. Factor -2\/7*c**2 - k*c + m.\nAnswer: -2*(c - 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - -94. Suppose 0 = 3*q + a - 450. What are the prime factors of q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64148392*2\nAnswer: -128296784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 3*k + 7 + 7, 0 = -k for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 + 16219*n\/3 - 4055\/3.\nAnswer: (n + 4055)*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2065 - -1352?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22*b + 13. Let l(v) = 107*v + 61. Let w(d) = -3*l(d) + 14*r(d). Let k(j) = 19*j + 2. Give -5*k(y) - 8*w(y).\nAnswer: 9*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2457216 divided by -162\nAnswer: -15168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45440, 94659, 143876, 193091, 242304, 291515, 340724?\n\"Answer: -o**2 + 49222*o - 3781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 147472999 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2051 + 2055. What is the nearest to -1\/5 in b, 0.2, -4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1554, 3303, 5352, 7803, 10758, 14319, 18588?\n\"Answer: 17*g**3 + 48*g**2 + 1486*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336 (base 7) to base 14.\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 + 24 = 5*b, 0 = 3*j - 3*b - 21. Let x(c) = -2*c. Let k = 37 - 24. Let a(g) = g. What is j*x(z) + k*a(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = s - 2*t, 0 = s - 4*t - 5 - 35. Let k(q) = -q**2 + 22*q - 30. Let d be k(s). Solve 2*c - 2 = h, 0 = -0*c + 2*c - 4*h + d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52834363 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:02 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11893069.\nAnswer: 19, 43, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.88 + 67.88. Let s = r + -68. What is the nearest to 1 in -3\/4, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) 1\/2 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-15 - 44700\/(-876)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - d + 12 = f, -5*f - 60*d + 390 - 30 = -5*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2778 is divided by 727.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8475101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 1:07 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -230*k**3*o*v**2 + 3*k**3*v**2 + 113*k*v**2 - 2*v**2 wrt o.\nAnswer: -230*k**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3678 - -3659 - (-1 - 38).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4155 - -3929.7. Let f = p + 177. Round f to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 + 320*l**2 + 3224*l\/5 - 12832\/5.\nAnswer: -2*(l - 802)*(l - 2)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55997*p**4 - p**2 + 15258189 wrt p?\nAnswer: 223988*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16424 is divided by 120?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -148, 0.5, -4, -72 in decreasing order.\nAnswer: 0.5, -0.06, -4, -72, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 646*a**3 - 22*a**2 - 36*a**2 - 645*a**3 + (4*a - 4*a + 2*a**2)*(-4 + 4*a - 6*a + 4*a) to the form p + b*a + h*a**3 + i*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 665616 and 213948?\nAnswer: 5990544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 214 + 341*i + 367*i - 116*i + 155*i wrt i.\nAnswer: 747","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 89. Calculate the remainder when j is divided by (29 + -9)*1\/((-5)\/(-10)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 5. Let t(k) = 1333*k**2 - 279*k + 93. Let b(v) = -72*v**2 + 15*v - 5. Let r(n) = -93*b(n) - 5*t(n). Calculate u(r(f)).\nAnswer: -62*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + sqrt(98) + 1 + -1 + sqrt(98))**2 - sqrt(98))*1 - ((-1 + sqrt(98) + sqrt(2) - (0 + sqrt(8)))**2 + -5))*5.\nAnswer: 25*sqrt(2) + 4070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -327, 0.1, 0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/132 and 113\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87.64 - -0.36. Let j = d - 126. Let i = j - -37.99. Does 1\/3 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/51943960 and 163\/13350?\nAnswer: 779159400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, o: 5, x: 1, j: 3}. What is prob of picking 2 j and 2 s?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 5:36 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - h**3 - h**3 - 3*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -688, -1381, -2092, -2821, -3568, -4333?\n\"Answer: -9*m**2 - 666*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 7*y**2 - 2*y**2 - 12*y**3)*(-19*y**2 - 4*y**2 - 24*y**2).\nAnswer: 564*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356369*t = -1356293*t + 2584 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Suppose -2*r + 2 = -0. Let p(v) = 2*v**2 - 4*v - 4. Let n(s) = r*p(s) + 4*f(s). Let h(o) = -12 - o + 12. Calculate h(n(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 6*a**2 + 4*a - 7. Let s be z(-7). Suppose -4*p + s + 2 = 0. What is the closest to -1 in -0.5, p, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31338 - -441?\nAnswer: -30787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 80*s. Suppose 4*f + 3*k - 5 = 0, -2*f = f - 5*k - 11. Let n(u) = 28*u**f + 23*u**2 + 27*u**2 - 76*u**2. Determine b(n(z)).\nAnswer: 160*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.2, 3029, 5, 0.5, 0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 128\/24219195 and -1\/385?\nAnswer: 24219195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -23, 0, 75, 226?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8960?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u - 219. Calculate the remainder when 292 is divided by a(37).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1100220022212?\nAnswer: 1100220022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from sqsqsq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.48 - -0.02. Let b = 0.05 + 0.35. Let u = h - b. What is the nearest to u in 0.1, 0.5, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0122 in 0.1, 3\/22, -4\/11, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 268? (a) 2\/7 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64 + 64 - 5*k**2 - 8*k**2 - 3*k**2 + 4*k**2 + (3 - k - 3)*(-2*k - 1 + 1))*(-2 + 0 + 1) to x*k + b*k**2 + z and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3646845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44311.\nAnswer: 73, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f + 2*f**2 + 3*f**2 + f**2 + 2*f**2 + f**3 - 21. Suppose -4*p - 67 = y - 27, -49 = 5*p + y. Is 3 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1629, -6257, -13965, -24747, -38597?\n\"Answer: x**3 - 1546*x**2 + 3*x - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from jiljjjlxljxllbxljlbx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 3)*(-1 + 6 - 3)*(s**2 - 6*s**2 + 2*s**2).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.320609 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1815062 and 556.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 4*g**2 - 47*g - 53. What are the prime factors of q(15)?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275 - -389. Let h = v + -113. Which is greater: h or -2\/81?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1784 + -1769. Calculate the highest common divisor of y and 3615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwttttwttt. What is prob of sequence twww?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2. Let m(p) = -17537*p. Give u(m(j)).\nAnswer: 307546369*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/5? (a) -2\/5 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 539720*d - 340172700.\nAnswer: -5*(d - 107310)*(d - 634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwd when four letters picked without replacement from dwdwwdww.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -450 + 869. What is the remainder when i is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - -31) + 30 - (1 + 3 + -5 - 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -5 + (2 - 0). Let g = 4.14 + -0.14. Which is the nearest to p? (a) 0.4 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/12 - 98*v**3\/3 + 4802*v**2 - 340*v + 2. Find n such that s(n) = 0.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34771?\nAnswer: 11, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (28 - 16 - -4) + 5 - (-5 - -44)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 4*r - 5. Let b be 175\/28 + 2\/(-8). Let h be j(b). Suppose -5*c - 33 = -q, 2*q - 2*c - 2 = 3*q. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -636131 (base 8) in base 6?\nAnswer: -4313425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 8*u - 9. Differentiate q(t) wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3726140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 69\/9 - 2\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 4*x**3\/3 + 4*x. Let n(h) be the third derivative of -h**5\/30 + 8*h**2. Determine b(n(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 5:52 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q = -375*q - 124*q - 2040 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 3*t**2. Let i(q) = -7*q**3 - 6*q**2. What is 5*a(u) - 3*i(u)?\nAnswer: u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + v**2 + 0*v**2. Let j(q) be the third derivative of 0*q + 0*q**4 + 0*q**3 + q**2 + 1\/30*q**5 + 0. Determine w(j(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -111100110001011111010?\nAnswer: 111100110001011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 35*w - 14. Give u(-7).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*((-15)\/(-6))\/5. Suppose -x - 3*q + q = -2, -5*x - 2*q = -18. Suppose -4*r = 4*h - 0 + 8, 3*r + 4*h + 8 = 0. Put m, x, r in decreasing order.\nAnswer: x, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 17*k. Let y(q) = -525 + q + 0*q + 525. Determine o(y(i)).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9732*f**2*h + 6675*f**2*t - 1854*f**2 - 6456*f*h*t with respect to t.\nAnswer: 6675*f**2 - 6456*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 11*p - 1. Let k(l) = -10*l**2 + 56*l + 4. Let s(o) = 2*k(o) + 11*w(o). Let z be s(5). Does 11 divide z*((-41)\/(-2) + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41, 58, 65, 56, 25, -34, -127?\n\"Answer: -c**3 + c**2 + 21*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13213396 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + f + 2. Let x be t(-3). Suppose -2*v + 4*w = -3*v - x, -2*w = v + 2. Calculate the least common multiple of v and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19197 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000869673 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + d. Let x be g(4). Suppose x = -b + 5*b. Suppose b*l - 22 - 28 = 0. Calculate the remainder when 18 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -56*s + 18. Let k(x) = -81*x + 27. Let z(o) = 7*d(o) - 5*k(o). Let u(n) = -7*n + 5. Calculate -5*u(t) - 3*z(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3249844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let d(u) = -3127*u**2. Determine w(d(m)).\nAnswer: -3127*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 54. Let l = 17 - n. Solve 4 + 4 = -l*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 96798*n**2 + 780724260*n - 1561835736.\nAnswer: 3*(n - 2)*(n + 16134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2133 is divided by ((-32)\/15 - -2) + ((-1456)\/(-30))\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*c**2 - 65*c**2 + 18 + 55*c**2 with respect to c.\nAnswer: 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80429946 by -980853.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 653\/(-37221)*(-54)\/12.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2 - -4)*-6. Let h(j) = -7*j**3 - 6*j**2 + 7*j - 2. Let b(x) = 6*x**3 + 5*x**2 - 6*x + 2. Let u = 3635 + -3640. Calculate q*b(c) + u*h(c).\nAnswer: -c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.012.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -56, -4, 2, 3 in descending order.\nAnswer: 40, 3, 2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 861*g - 5. Let z be t(4). Let n = z + -6519. Let s = n - -10680. Round s to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6048, 11944, 17840?\nAnswer: 23736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 divided by 141?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(7) + -2*sqrt(21)\/sqrt(3)))**2.\nAnswer: -72*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*w**2 - 8*w**2 - 18*w**2)*((-2 + 0 + 0)*(2*w - 4*w + w) - 4*w + w + 6*w)*(-9 - 81 + 52).\nAnswer: 950*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -16, -25, -34, -43, -52?\n\"Answer: -9*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2166 by 1.\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 51878*y + 103757\/2.\nAnswer: -(y - 1)*(y + 103757)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 143581213 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -35*n**3 + 43925500*n**2 + 75300980*n - 25100320 = 0.\nAnswer: -2, 2\/7, 1255016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 7 + 8. Suppose h*m - m = 3*y - 23, -4*y + 3*m = -30. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5096 divided by 26.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 3*t + 12*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0.17, 0.2, 0.1.\nAnswer: 0.05, 0.1, 0.17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 88\/5. Let l = 10 - 62. Let n = l - -52.2. What is the third biggest value in -1\/7, p, 1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -2 + 2 + 0. Find the first derivative of -4*o**3 + 4*o + 2*o - 1 - j*o wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 3717.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-12)\/(-24).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*w - 1, 6*a - a = -3*w. Suppose d - 24 = 4*h - 2, w*h = 5*d - 95. Which is greater: 19 or d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/5*-16*(-30)\/(-36). Calculate the greatest common divisor of 48 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720856 is divided by 226738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 5}. Give prob of sequence izz.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 2*w**2 - 2*w**2 + 6*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)*(1 + 2). Let s = 2559.3 + -2542.3. Which is the third smallest value? (a) s (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**3 - 2*i**3 + i**3 + (-5*i + 2*i + i)*(0*i**2 + i**2 - 2*i**2) + 9*i**3 + i**3 - 3*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 167 = 3*g, -5*p + 0*g + g + 411 = 0. Let d be p\/(-3) + 4\/(-6). Let l = 32 + d. Solve 2*n + 7 = 3*y - 6, -l*y + 5*n = -29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, k: 3, w: 4, m: 2, b: 5}. Give prob of sequence yb.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0573 to two decimal places.\nAnswer: 5.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -3*z**3\/2 - 13*z**2 + 4588*z. Calculate r(-12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 + 20*x**4 - 485*x**3 - 1940*x**2 + 6480*x + 25920 = 0. Calculate x.\nAnswer: -9, -4, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from plxcppqllpplcpp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(-13)*(t*t**(-2\/7))**(-1\/72) assuming t is positive.\nAnswer: t**(1633\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*w**3 - 372*w + 392 - 154*w + 50*w + 4*w**4 - 12*w**2 + 48*w**2 + 5*w**3.\nAnswer: 4*(w - 2)*(w - 1)*(w + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2. Let k(z) = -219*z**2. Determine v(k(x)).\nAnswer: -143883*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksemkmsvkvksivmkmmmv. What is prob of picking 1 e and 1 v?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 42. Let g(f) = 2*f - 6*f + 5 + 16 + 3*f. Let d(a) = 9*g(a) + 4*o(a). What is the first derivative of d(p) wrt p?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2 - 75*f - 297. Determine r(-11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3 + 7. Let h be (r + 1\/(-1))*5. Let d(s) be the first derivative of s**2\/2 + s + 1. Determine d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 10. Suppose 12*g - j*g = -525. Suppose -c + 37 = -g. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2170 + 4?\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43392 - -0.5542. Let w = -0.12 + v. Round w to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.4694 to 1 dp.\nAnswer: -33.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17224, 65924, 147084, 260698, 406760, 585264?\nAnswer: 796204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 - 7)*(37 + 26*t**2 - 37) + 2*t**2 + 3*t**2 - 2*t**2 to d*t**2 + x*t + r and give d.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -265, -2, -12, 2\/19, -1\/4, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103101377 to the power of 1\/2, to the nearest integer?\nAnswer: 10154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(170)*2)\/sqrt(10) + -3.\nAnswer: -12*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) 2\/5 (c) 0.1 (d) 4164\/5 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9418, -19327, -29726, -40621, -52018, -63923, -76342?\nAnswer: -89281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i + 2*j + 6 = 0, 3*i + 11 = -2*j. Let l = i + 8. Solve -8*v = -l*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137069895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilometer in meters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 1}. Give prob of sequence ci.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -37.59.\nAnswer: 8.2698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 0.73?\nAnswer: 4.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.041 + 0.441. Which is the second smallest value? (a) 53 (b) -6\/5 (c) w (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 72224?\nAnswer: -72238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**7\/140 + 11*a**6\/720 - a**5\/20 + a**4\/12 + 7*a. Let m(w) be the third derivative of o(w). Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 < 470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-513)\/(-81))*(-4)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 5*l**2 - 2*l - 8. Let o be w(-5). Let n be o - -39*(-7)\/147. Which is the second biggest value? (a) -1 (b) 5 (c) n (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-2)\/(-2)*1. Suppose 0 = 2*j + x - 22, -m*j + 24 = 3*x - 12. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5435 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1441120313 (base 5) to base 3\nAnswer: 21020111202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1053))**2 - (sqrt(104) + sqrt(104)*2)\/sqrt(8).\nAnswer: -3*sqrt(13) + 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*d + 2*d + d - 2 - 4*d wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973861.\nAnswer: 7, 139123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 6*i - 2. Let r be m(5). Suppose -4*v + r*s - 2600 = 0, -2*v + 3*s - 2*s = 1300. Round v to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1395 - -1406. What is the highest common divisor of 187 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, p: 6, t: 1}. What is prob of picking 1 t and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - 70\/175?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000762807 to 7 dps.\nAnswer: 0.0000763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 8277960*k**2 - 33111876*k + 33111888.\nAnswer: 3*(k - 2)**2*(k + 2759324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.3, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n + 1014. Let x be k(-63). Sort 21, -3, 0.5, x.\nAnswer: -3, 0.5, x, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 5. Let t be p(10). Suppose -2*o + 6 = 4*h, -4*h - o + t = -2*o. Let m(d) = -d + 3 + 7 - h. Calculate m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13508*f**2 + 110 - 327 + 128 + 89.\nAnswer: -13508*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + 0.2. Is 1 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - l - 5 - 12 = 0, -3*f - 24 = -3*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -595, -1359, -2389, -3691?\nAnswer: -5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3026 - -6787. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15235 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-32)\/(-3)*((-17055)\/(-20) + 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - p + 4. Let y(x) = -28*x**2 + 30*x - 34. Let c(u) = 5*i(u) + y(u). Give c(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o - 1. Let a(h) = 3*h - 6. Let i be a(4). Suppose r + 45 = i*r. Let g be ((-4)\/6)\/(6\/r). What is l(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4170, -4165, -4160, -4155?\n\"Answer: 5*z - 4175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1771 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 70\/(-9)) + 314\/1413.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1342 - -2119?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 949 = -3*s, -951 = -3*s - 3*g. Let k = 479 - s. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4, -65*h - 3*l = -69*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2775 times -4213?\nAnswer: 11691075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/5 + 738*i\/5 - 8481\/5 = 0. Calculate i.\nAnswer: -257, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/7, 3.2, -0.2, 5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -118268279 less than -118268280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 64 = 2*t, 3*d = -0*d + 4*t + 82. Suppose -d*v = -23*v - 42. List the prime factors of (-75)\/v*(-456)\/20.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 2*m**2 + 4*m + 2. Let f be t(3). Let y(n) = 4 - 39*n - n**2 - 6 - 10 + f*n. What is the lowest common multiple of y(8) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/35, -7, 467\/7?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -489*r**3 + 3*r**2 - 33395*r + 232541470 wrt r.\nAnswer: -1467*r**2 + 6*r - 33395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 39 = 459. Let q be (-43 - r)*-2*(-1)\/14. Which is the nearest to 0? (a) 2 (b) q (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87511*v + 64391*v - 33664*v + 16791*v.\nAnswer: 135029*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -301 + 1?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, 0, -1469, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1167, 4752, 10731, 19104, 29871, 43032, 58587?\nAnswer: 76536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265082*t**2*x**3 - 12*t**2*x + 71*t**2 - 3*t + 10 wrt x?\nAnswer: -1590492*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -223, 7, 67 in ascending order.\nAnswer: -223, 7, 14, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 108845862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y + 12. Let f be 3\/2 - (-6)\/y. Find the second derivative of a - 12*a + a + 3*a**f wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348*676.\nAnswer: 235248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/172? (a) 1\/7 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l + 6. Let z be f(2). Suppose 0 = -5*y + z*u + 911, -9*y + u - 733 = -13*y. Calculate the highest common divisor of 61 and y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.32 less than or equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 93*o - 485 - 117 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 - -114. Suppose -155 + 875 = r*j. Suppose -22*a + j = -7*a. Calculate the least common multiple of 9 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 37, 8, -3 in decreasing order.\nAnswer: 37, 8, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l + 2. Let m(n) = 6*n**2 - n. Let a be m(1). Suppose -l*s + 16 - 2 = 2*b, -a*s + 5 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 47*i + 75. List the prime factors of a(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4\/7 - 615*u**3\/7 + 9*u**2\/7 + 1839*u\/7 - 1230\/7 = 0.\nAnswer: -205, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 10*n**2 + 9*n - 12. What is the tens digit of t(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51)*2)\/sqrt(3) - sqrt(17)) + 5 + 3 + ((sqrt(272) + -1)*-4)**2 + -5)*3.\nAnswer: -381*sqrt(17) + 13113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*f + 7 = -t, f = 4. Suppose -3*m = 2*l - 1 - 17, t*m = -5*l + 35. What are the prime factors of (-1)\/(l*(-2)\/138)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*3)*-3 - (sqrt(228)*2*-3 + sqrt(228)))\/(4*sqrt(432) + sqrt(432)\/sqrt(144)) + -3.\nAnswer: -3 - 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 378.2 + -285.5. What is o rounded to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3 - 1 - -1) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(91))\/((sqrt(28)*-2 + sqrt(28))\/sqrt(4)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5 + 26*d**4 + 114*d**3 + 198*d**2 + 108*d = 0.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9 times 2813?\nAnswer: -47539.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68810058 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v + 2206. List the prime factors of v.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233596, 233253, 232908, 232561, 232212?\nAnswer: 231861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 35 = 4*o - 3*p, 2*o - 4*p = 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*a - 826, 6*u - 2*u - 5*a - 833 = 0. Let l = u + -189. Solve -l = -j + 3*k, 5*k + 6 + 7 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 7*j. Suppose 5*o - 5*l - 80 = 0, -3*o + 44 = -0*o - 5*l. Let w = -25 + 37. Let a = o - w. Give n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 798 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.7 + -6.772. Round u to 2 decimal places.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.165 (b) -8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61206 divided by -101?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 = 4*n - n - 5*z, 5*n - 1737 = -z. Let h = 1726\/5 - n. Is h greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84, 324, 718, 1266, 1968?\n\"Answer: 77*y**2 + 9*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xss when three letters picked without replacement from {s: 6, x: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 11}. Give prob of sequence mpp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - (-8)\/(-60). Let d = 1.094 + -0.094. Which is the closest to 1? (a) l (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239816\/1185 + 184\/237. Let p(u) = 196*u. Let g be p(-1). Let w = g - i. What is the common denominator of w and -37\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.865748 - 0.1342472. Let w = k - -3. What is w rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -6*(12\/(-40) - (-3081013)\/(-390))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 177.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {u: 7, k: 2, z: 5, f: 4}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 785766630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, g: 3, o: 2, z: 1, d: 1}. Give prob of picking 2 g and 2 o.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1959)\/1890 - 9\/(-15). Let f = -375\/182 - -24\/13. Let q = f - s. Which is the biggest value? (a) 2 (b) q (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437.581 - -0.581. Let h = 437 + z. Let y be 0 - ((-10)\/(-4) - 2). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172338 (base 11) to base 5\nAnswer: -32012404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 7 = -f + 2, -5*f + 2*h = -2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43981 is divided by 543.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.1, 0.06, -3\/8 in descending order.\nAnswer: 0.5, 0.06, -0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/3, -0.2, -36, -2336 in increasing order.\nAnswer: -2336, -36, -20\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1529*x = -1515*x - 67 - 353 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.160524*11.\nAnswer: 1.765764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k - 5*k)*(3 + 4 - 2) + 0*k - k + 0*k - 2098*k - 1724*k + 797*k + (-3 + 0 + 2)*(-3*k - 3*k + 5*k).\nAnswer: -3035*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 2*n + 3. Let z be k(-3). Let x = 14 + z. Suppose 0*d + r - 23 = -x*d, -d - 5*r = -19. What is the nearest to 2\/7 in d, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*z**6 - 3*z**3 - 183*z**2 wrt z?\nAnswer: -6720*z**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70687.77 millilitres to litres.\nAnswer: 70.68777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 + 8*p**3 - 8*p - 4 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -25, -3*i + 3*j - 14 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15970413.\nAnswer: 3, 5323471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22511345 (base 6) to base 14\nAnswer: -140b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d - 2\/17*d**3 - 20\/17 - 16\/17*d**2 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -4, -8\/21, 1, 1\/2 in increasing order.\nAnswer: -4, -8\/21, 1\/2, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 10 = 0, 5*i - 10434 = 63*r - 10018 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 11*i**2 - 10*i + 2. Let g be b(10). Suppose 0 = -s - 1 + 6. Solve f = 3, s*w - 3 = g*f - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7 - 1313*r - 4 + 88 - 33 + 16 wrt r?\nAnswer: -1313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a**2)*(-a - 2 + 2)*(4 - 1 - 1) - 6*a**2 + a**3 + 6*a**2 + (0*a**3 + 4*a**3 - 5*a**3)*(4 - 1 + 0).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 988 - -10162. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 348*b**3*q**3 + 1232*b*q**2 - 636*q**3 + 72*q**2 + 7*q - 1 wrt b?\nAnswer: 1044*b**2*q**3 + 1232*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-18 + 7))\/((-45)\/6). What is the nearest to -5 in -2\/5, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-253)\/(-5) + 24\/(-40). Let j = q + 137. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -192798176.29888 + -0.5.\nAnswer: -192798176.79888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 (base 4) in base 6?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*f + 125 = 0, k + 2*f = -3*f + 19. Suppose -l = 3*m - 37, 6*m - 2*m = 5*l + k. What is the lowest common multiple of 2 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 8*f**5\/9 + 4*f**4\/9 - 56*f**3\/9 - 16*f**2\/9 + 32*f\/3 = 0.\nAnswer: -2, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*p*s + 26874*p + 1675*s - 160 wrt p?\nAnswer: -36*s + 26874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.383 + -0.017. What is the nearest to 0 in -10, -1, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*135\/(-5481)*-29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 22*v - 18. What is d(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 3*h + 1. Suppose -36 = -6*w + 2*w. Suppose 0 = -12*k + 9*k - w. Give s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -130646, -130648, -130650, -130652, -130654?\n\"Answer: -2*u - 130644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 3*sqrt(66)*-3) + sqrt(66))\/(sqrt(6) - (sqrt(54) - sqrt(216)\/sqrt(4))).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/20))**(-8)*p\/(p**(-39)*p)*p\/p**21 assuming p is positive.\nAnswer: p**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119985 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 11*b**5\/60 + b**4 - b**3\/2 + 22*b**2. Let d(h) = -4*h**2 - 8*h + 1. Let r(i) = -3*a(i) - 8*d(i). Give r(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + (26\/(-7))\/(15\/105).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 11*j**2 - 6*j + 6. Let x(w) = 2*w**3 - 22*w**2 + 13*w - 12. Determine -13*r(t) - 6*x(t).\nAnswer: t**3 - 11*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m - 2. Let g = -4 + 11. Let o(t) = -t**2 - 4*t + 2. Let j be o(-5). Let s(z) = -9*z - 5. Calculate g*k(b) + j*s(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1000100 (base 2) to base 16\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1104000 to the nearest ten thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 12:08 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12 - 14 + 6 - 1 + 28*y + 17. Let x(j) = j + 1. Determine 2*t(a) - 40*x(a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.865126148 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 4784*q**2 + 28452*q - 128520.\nAnswer: 4*(q - 3)*(q + 9)*(q + 1190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25573\/8 - 3207. What is the common denominator of a and 39\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 4 = -18. Let l(v) = 603*v**2 - 3*v + 5. Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -35234*k**2 - 19216*k. Let x(q) = 82212*q**2 + 44838*q. Let d(n) = -16*l(n) - 7*x(n). What is the second derivative of d(s) wrt s?\nAnswer: -23480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -452\/7 (b) 0.2 (c) 5 (d) -1\/2 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggegefgervf. What is prob of sequence efve?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*s - 79 = 0, -19*s + 14*s + 73 = 2*c. Suppose 0 = -i + 3, 0 = h + 3*i - 173 - 78. What is the remainder when h is divided by c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.72 + -1.4. Let b = s + -0.02. What is the nearest to -0.2 in -0.2, 2\/5, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g + 3*m - 12, -g + 3*m = -15. Calculate the greatest common divisor of g and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15528065?\nAnswer: 5, 7, 443659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362734577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 35 - 44. Let v(h) = -4*h**3 + 32*h**2 + 3*h. Calculate the lowest common multiple of v(8) and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 1. Let c be k(0). Let y(q) = q**2 + 1. Let p(f) = -f**2 - 3*f**2 - 2 + 3*f**2 + 4. Let t(j) = c*p(j) - 2*y(j). Let r(b) = -2*b. What is r(t(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:04 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12210101110?\nAnswer: 12210101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/((r*r**(-1))\/r))*r)**19\/((r\/r**(3\/7))\/((r*r*r**3*r*r*r)\/r)) assuming r is positive.\nAnswer: r**(178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + ((-2)\/7 - (-26)\/(-7)). Solve 0 = o*t + 3*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*f*y - 544*b**2*f + 185*b**2*y + b**2 - 2*b*f + 8*b*y - 2*b + 4*f*y + y + 11776 wrt b?\nAnswer: -6*f*y - 1088*f + 370*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 813516 and 4.\nAnswer: 813516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 24. Which is greater: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4551044 (base 6) to base 11\nAnswer: 149527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097*x + 2093*x = 4*t + 16, -3*t = 5*x + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -16, -18180, 1 in descending order.\nAnswer: 5, 1, 0, -16, -18180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from {t: 4, f: 2, r: 12, p: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 352855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 346 = -274. Let k be 6*((-4)\/(-18) + (-1064)\/l). What is the highest common factor of k and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g + 38*g + 41*g - 115*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38141 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2)*(1 - (-35)\/(-21)). Suppose -7*o = -a*o - 40. Calculate the remainder when 54 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 + 22735\/159. Let g = q + 646\/795. Is 2 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 57*b - 92. Give u(-21).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.802 + -11.7. Let f = p + -0.082. Let h = -22.98 - f. Which is smaller: -0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118757, -118762, -118767, -118772, -118777?\n\"Answer: -5*s - 118752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14311815, 28623615, 42935427, 57247257, 71559111, 85870995, 100182915, 114494877?\n\"Answer: b**3 + 14311793*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 12*l + 24. Let j be y(5). Round j to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + i**3 + 4*i**3 - i**2 to the form t*i**2 + b*i**3 + d*i + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131130 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 875\/24 + -185\/8. Let z = b - 202\/15. Let p = -65 - -454\/7. What is the third biggest value in 1, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 2, f: 2, q: 1, x: 2, a: 4}. What is prob of sequence xaa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((666\/(-264))\/3 - (-17)\/(-68))*(-33)\/30?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(108)) + -2 - sqrt(3) - sqrt(3) - sqrt(3))*-4.\nAnswer: 8 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147.81 + -147. Let k = 13.19 + p. Which is greater: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9207405 not equal to 9207406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 + 10*r + 51. Let s(y) = 22*y**2 - 41*y - 203. What is 9*l(o) + 2*s(o)?\nAnswer: -o**2 + 8*o + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueue when four letters picked without replacement from {e: 4, u: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 33018156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*3)\/sqrt(10))**2 + 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 5 = 3*v + 2*l + 1, -8 = 5*v + 4*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -52175*h - 208709. Determine z(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 16 - 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-3)\/9 + 55. Suppose -5*c + v = -3*b + 2*b, 0 = 5*b + 20. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**4\/12 - u**3\/2 - 418*u**2. Let x(f) = -3 - 2*f - 5 + 5. Give 2*r(h) - 3*x(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 3*s + 12. Determine p(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*u = 2, 6*f - 5*u - 22 = 3*f. Suppose -q - f*q + 32 = m, 44 = 2*m + 5*q. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007297918 rounded to 7 dps?\nAnswer: 0.0007298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*1 - sqrt(245)) + (sqrt(125) - (-1*sqrt(125) + sqrt(125))))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-38)\/14. Let c be (3 + 68\/(-24))*w. Factor 0*b + c*b**3 + 0*b**2 + 0.\nAnswer: b**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15113.\nAnswer: 7, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 221471 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.41496 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15315235 divided by -235619\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/101 + -1539\/808. What is the common denominator of 1 + -1 + (-66)\/(-28) and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 3*l**4 + 5*l**4 + (-l**2 + l**2 - l**2)*(l**2 + 0*l**2 + 4*l**2) to the form c*l**2 + w*l**3 + h*l + y*l**4 + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = q - 37, n - q = -3*q + 18. Let f be (-25)\/(-20) - (-297)\/12. Let k(r) = r**3 - 26*r**2 - r + 40. What is the remainder when k(f) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3)*(-42)\/(-56). Let x = 241.3 - 241.6. Let r = -3.8 + -1.2. What is the nearest to j in x, -5\/4, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*c*j*n**3 + 13*c*j*n*z + 10*c*j - 2*j*n**3 - 107*j*n*z - n**3*z - 3*n*z wrt c?\nAnswer: -22*j*n**3 + 13*j*n*z + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 2. Let r be g(6). Is 2319*(-2 - -7) + r\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -863. Let f = t - -1156. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 289167?\nAnswer: -4\/289167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 558 = -213*f - 1026. Let c(i) = 24*i + 231. What is c(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2632840399 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (2 + sqrt(98))**2.\nAnswer: 28*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9.05. Let q = l - 0.15. Which is the third biggest value? (a) -0.3 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 2024.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 26*c - 15 = 0. What is the second derivative of j + 2*j**3 - 18*j**c + j wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*k + k + 5, -2*o - 2*k = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7808 + -7804. Solve 4*h + 4*y + i = 0, 2*y - 8 = -65*h + 68*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.05?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18292710 is divided by 1964?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.187731 - 117061734.\nAnswer: -117061721.812269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -489 - 6746*n - 576 + 1065 to t*n + k and give t.\nAnswer: -6746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513890 is divided by 378450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 2*z)*(15 + 61 + 42)*(-4*z**3 + 5*z**3 - 3*z**3).\nAnswer: -236*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5*sqrt(120)*2)\/(sqrt(50)\/(-4*sqrt(20))))**2.\nAnswer: 76796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 44 = 6*s. Let l = s + -12. List the prime factors of ((-24)\/(-30))\/(l\/(-30)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1019366, -1019373, -1019390, -1019423, -1019478, -1019561, -1019678?\n\"Answer: -x**3 + x**2 - 3*x - 1019363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -219, -217, -215, -213, -211?\n\"Answer: 2*n - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8513 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 145, 150, 157, 166, 177, 190?\n\"Answer: j**2 + 2*j + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 50942 = 3*o, -3*t - 17545 + 170407 = 3*o. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/9, 1, -3.5885, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 880120361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 10*y**2 + 10*y**2 - 4 - 3*y**3 - 5*y**3. Let m be b(-2). Let l = 149 - m. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxx when three letters picked without replacement from kkxkbkxxxkxbxx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/12 - 4*y. Let c(b) = 738426 - 738426 - 2*b**2. Give c(f(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/71? (a) 1\/2 (b) 565 (c) -0.5 (d) 4 (e) -19 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0613 times 0.013\nAnswer: -0.0007969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 3 = 11*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.45273591 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 - 3*h**2 + 6*h + 1. Let z(r) = -5*r**3 - 3*r**2 + 7*r + 1. Let o(w) = 6*u(w) - 5*z(w). Is o(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 76*x**2 + 48*x + 1761. Determine o(39).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 363\/(65340\/(-320))*(-3)\/40?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10 - 8. Let x be 2 + (2 - 1*9). Let k = x + l. Solve -f - 17 = k*n, 2*n + 0*n = -2*f - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 305*s**3 - 10*s**2 - 2*s + 14. Let h be m(3). Is 8154 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35060\/7 - -5000. Which is bigger: p or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -561 + 583. What is the nearest to 15 in -0.2, p, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76342, 152367, 228392, 304417, 380442?\n\"Answer: 76025*g + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -4*i**3\/3 - 7*i**2\/2 + 738*i - 27. Let m be (-134)\/10 - 4\/(-10). Let o(k) = 6 - 17*k - 9 - 12. What is m*u(d) + 6*o(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6488134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12670 - -13699.2. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49704 is divided by 64?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1626176, -3252215, -4878254, -6504293, -8130332, -9756371?\n\"Answer: -1626039*p - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/14 (b) -1\/7 (c) -6 (d) -8.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 13*f + 204. What is the smallest common multiple of 54 and (-5 - (-4)\/(-4)) + f?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 2109 - 7013. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112333 + -21?\nAnswer: -113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 284871256 and -99958.\nAnswer: 284771298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 157363 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3795245.46 rounded to the nearest one thousand?\nAnswer: -3795000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21*t - 15. Let n(r) = 3*r + 2. Let b(w) = 15*n(w) + 2*v(w). Let o(l) = 5*l. Give b(o(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1110, -1113, -1116, -1119?\n\"Answer: -3*y - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2 (c) 1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*(q*(q\/(q\/q**(-18)))\/q)\/q*((((q**(-1)\/q)\/q)\/q)\/q)\/q**(-8\/9) assuming q is positive.\nAnswer: q**(-190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543560369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-10)*-5*39\/(-52)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*n**4*r**3 - 47601*n**3*r**3 + 484028*n + 2*r**3 wrt n.\nAnswer: -132*n**2*r**3 - 285606*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*w - 1 - 4, 3*z + 15 = 0. Suppose w = j - 6 - 6. What is the remainder when 35 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -130*f + 120*f. Let r be 40\/f*-58*(-8)\/35. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-5*(-2)\/10). Let c = 11961 - 11956. Put m, -0.6, c in decreasing order.\nAnswer: c, m, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -280 + 106. Find the common denominator of ((-2)\/32)\/((-3)\/d) and 13\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879172 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 37*o**2 - 70*o - 128. What is the hundreds digit of u(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -77\/6360957?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12061801329 - 6*c**2 + 12061801329.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55817.97ml?\nAnswer: 55.81797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 - 232 = -4*d - 3*m, 6912 = 4*d + 75*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1352*u**6 + 93*u**2 + 6 wrt u.\nAnswer: -162240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 5*f**2 - 2*f + 8. Let d be x(5). Does 17 divide 2\/((-2)\/34*d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -7, 44, -1\/6, 87, 1\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 > 4304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 35, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n. Let a(o) = 6*o + 4. Suppose -2*u - 4*y = -3*y + 14, -2*y - 33 = 5*u. Let i(w) = -8*w - 5. Let j(g) = u*a(g) - 4*i(g). What is j(x(s))?\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 156824 in decreasing order.\nAnswer: 156824, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681\/(-8399)*2\/(-18)*-9?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 447.15 - 458. Let o = q + 10.7441. Round o to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4082\/15 + 272. Let d = -8 + 4. Let h be 3\/2 + (-69)\/54. Which is the nearest to -1? (a) d (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + -82. Let k be (-19)\/((2 - 1)\/1). Let b = -10 - k. Solve b = -u - q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1429*l = -1310*l - 2499 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 15*a - 5. Let z(w) = w**2 + 16*w + 5. Let i(p) = 2*n(p) + 3*z(p). Let h be i(-7). Let u = 109 + h. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2996049.\nAnswer: -4\/2996049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - v - 5 = 2*z, 3*v = 5*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12405*p - 17 - 2278*p + 31 + 28.\nAnswer: 10127*p + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, -8, -137, -402, -851?\n\"Answer: -8*t**3 + 4*t**2 + 3*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -978.877 - -20.977. Let k = n - -899. Let j = -58.9000323 - k. What is j rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3774670 by 5.\nAnswer: 754934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3256 and 418?\nAnswer: 61864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14398*s**3 - 14398*s**3 - 355*s**4 + (5*s - s - 5*s)*(s**3 - 3*s**3 + 9*s**3).\nAnswer: -362*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7245577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/10 - 5*c**4\/12 + c**3\/2 - c**2 + 12*c + 45. Let u(d) = -d**2 - d + 1. Give -o(b) - 2*u(b).\nAnswer: -2*b**3 + 7*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -3)*-5 - (-175 + 170)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*p**3\/5 + 1976*p**2\/5 + 6769*p\/5 + 1176.\nAnswer: (p + 120)*(4*p + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 - -11100?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 349237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - r - 11 - 0, -r - 19 = -5*l. Find the second derivative of -22*a**4 - 36*a - 104*a**l - 23*a + 23*a**4 wrt a.\nAnswer: -1236*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 + 10*y - 8. Determine b(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/53 in 85, 73, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5718.\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let w = 128 + -120. Suppose 0 = -l*k + 32 - w. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/124 and 17\/1860.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 23*k - 26*k - 52009 = 0, 5*x + 5*k = 129960. Let n(o) = 2*o + 25997 - x. Let j(i) = i - 30. Determine n(j(v)).\nAnswer: 2*v - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 8*o**2 - 4*o + 218. Let q be i(9). Solve 21*n = q + 25 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 11. Let l be (-468)\/16*(n - -3). Suppose -5*t + l = 4*u, 5*u = -t + 136 - 16. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(-18 + (-1575)\/(-84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3507 and -0.04.\nAnswer: 0.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 - 9 + 27 - 27)*(85*b**2 + 10*b**2 + 38*b**2)*(-2*b + 3*b - 2*b) in the form r + k*b + f*b**2 + w*b**3 and give w.\nAnswer: -7714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -310? (a) 0.5 (b) 33\/5 (c) -20.6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4 + 2 - -54) + 4. Let b = 720\/17 - -152\/51. Let o = p + b. Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -0.6. Let r = q - -2. Let u be (-8 - -4)\/((-2)\/(-1)). What is the smallest value in r, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (28 + -12 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 1769*p - 1765*p + 41, 0 = -6*x - 2*p + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6742, -26968, -60666, -107830, -168454, -242532?\n\"Answer: n**3 - 6742*n**2 - 7*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 9. Suppose q*f = -4*w + 1487, f = -w - 3*f + 380. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(24) + -2*sqrt(1536)))\/(sqrt(24)\/sqrt(27)))**2 - ((sqrt(21)\/sqrt(7))**2*6 + (0 + -1*sqrt(3) - sqrt(3) - sqrt(3))).\nAnswer: 3*sqrt(3) + 6894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -88. Put 6, s, 3 in decreasing order.\nAnswer: 6, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(88)*2 - sqrt(88))*2 - sqrt(88) - (sqrt(88) + sqrt(88)*2*3)))\/(sqrt(800)*-2 - 2*sqrt(72)).\nAnswer: 12*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let r be g(-1). Suppose 0 = 2*j - 4*j - 3*t + 22, 3*j - 3*t - 3 = 0. Suppose r*h - h = j. Solve 5*c - 25 = h*o, 0*c = 3*o + 5*c - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(1 + 1*-2). What is the smallest common multiple of 2 and b\/28 + 58\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2784 - 9*j**3 - 2837 + j**2 - 7*j**3 wrt j?\nAnswer: -48*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 16*k**2 - 26*k + 12.\nAnswer: -2*(k - 6)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/18)\/(2\/3). Let z(t) = 10*t**2. Let v(f) = -f**2. Let s(u) = o*z(u) + 12*v(u). Let q(x) = 2*x**2. Determine s(q(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16560 divided by 80\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 107.\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 112.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:48 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = 16, -4*y - 5*w + 23 = 0. Suppose 5*v = 2*v - 5*h + y, -v + 3 = 2*h. Solve -v = 2*g - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122934083 is divided by 267248.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + (-6 - 1 - -3). Suppose -20 = -5*t - x. Solve 0 = k - 2*m + 5, 2*m + t*m - 11 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.99 + -1.41. Let k = -19 - r. Which is the smallest value? (a) 1\/3 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/38 + (-54)\/117. Is n less than or equal to -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaavqqgagqv. What is prob of sequence aqa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 67. Solve -g*y + 4 = -0*o + 3*o, 3*y + o + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyty when four letters picked without replacement from ytytyytyyttt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6845 is divided by 1138.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t. Let r(j) = 7*j**2 - 3*j + 1. Calculate 3*m(p) - r(p).\nAnswer: -4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/((-140)\/(-777)*-6) + -7 and 3 - 2 - (-194)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530\/135*(-6)\/8*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 4. Let f be (5\/(-2))\/5*-12. Let i be u(f). Let v = -10 + i. Solve -v = o - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/6 - 4 - 4408\/6612\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 10*r - 10. Let t = 68 - 60. Let a be q(t). Let u(d) = -d**3 + 8*d**2 - 3*d - 22. What is the units digit of u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/124 - -3\/31. Let d = 2.2 - 2. Let c = 0 + d. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4709094803 - 60182\nAnswer: 4709034621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 21. Let p be m(7). Solve 5*x - p = 2*o - 7*o, o + 5 = 3*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462\/5 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -166*-7*(-39)\/546*(-2)\/2?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 7*n**2 + 5*n - 4. Let a be l(-6). Let q be 2\/3 - a\/(-6). What is the units digit of ((-6)\/(-10))\/(q\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 + 1 - 20252*k + 20241*k + 5 as b*k + z and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436, -811, -1832, -3823, -7108, -12011, -18856?\nAnswer: -27967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - -2) - (1 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -17*x**6\/24 - 31*x**3\/6 + 28*x**2 - x. What is the derivative of a(n) wrt n?\nAnswer: -255*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2917*g + 2 - 2895*g)*(48 - 95 - 70).\nAnswer: -2574*g - 351","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3749*r - 157454. Let n be j(-42). Find g, given that 0 - 8\/7*g**2 - 2\/7*g**n + 0*g - 10\/7*g**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 1. Let p(l) be the third derivative of -l**6\/30 + 3*l**5\/20 - 8*l**3\/3 - 3*l**2. Let b(f) = 18*k(f) + 2*p(f). Differentiate b(y) wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 = -3*v, 2*r = -5*v + 3 + 8. Let f(z) = z**2 + 10*z + 2. Let y be f(-11). Suppose 4*p - 3 = y. Solve -p*s + 25 = o, -3*o - 3*s + v = -27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -2255.\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, w: 13}. What is prob of picking 1 w and 3 b?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**2 - d + 1. Let s be (-2 - (-1 + -2))*1. Let n be u(s). Solve n = 5*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 3*v**2 - 2*v**2 + v**3 + 0*v**3. Let i be g(6). Suppose -i = -5*a - 3*o + o, -4*a - 3*o + 55 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = 19. Suppose -k*n = -2*n - 8. What is the second derivative of j**4 + j**4 - n*j - 2*j**4 + 2*j**5 wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2474 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14753\/8 - -1849. Suppose 3*x + w = -111, -5*w + w - 12 = 0. Find the common denominator of (-9)\/x*(-166)\/11 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnpgnue. Give prob of sequence je.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 18. What are the prime factors of 3 + 5\/((-10)\/w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 21*u - 12 = t, -6*u = 2*t - 2*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from vvbbv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9188, -9716, -10582, -11774, -13280, -15088, -17186?\n\"Answer: 2*u**3 - 181*u**2 + u - 9010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 1 + 2)*(20*c - 4*c + 0*c + (1 - 1 - 1)*(-2*c + c - c) + 7*c - 8*c + 0*c).\nAnswer: -238*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmffmfmmttmmmmmmmm. Give prob of sequence tt.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 700\/(-75)*(-6)\/8. What is the smallest value in 3, c, 1\/2, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 106, 297, 490, 685?\n\"Answer: h**2 + 188*h - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20080, 19983, 19888, 19795?\n\"Answer: l**2 - 100*l + 20179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31677536 divided by -15\nAnswer: -31677536\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19368*q + 300845 + 125251 = 0 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -164199 - r**3 + 164199 + 3198*r - 2*r**2 as n*r**3 + l*r + p + a*r**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395279557 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 3:04 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-8 + 6 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 10*z - 15. Determine r(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(3))*-1.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -545*h**3 + 12*h**2 - 6*h + 6. Let t(q) = 18532*q**3 - 410*q**2 + 205*q - 205. Determine 6*t(d) + 205*y(d).\nAnswer: -533*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/288 and -35\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.34, 3 in increasing order.\nAnswer: -0.34, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 5*i**2 + i**2)*(-5*i + 2*i - 5*i)*(-25 + 0*i + 22 + 22*i).\nAnswer: 352*i**4 - 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20572622*a**3*u**3 + 10*a*u**3 - 33002*u**3 + 43*u**2 + 5*u - 5 wrt a?\nAnswer: 61717866*a**2*u**3 + 10*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 12*y - 299. Let s be o(-13). Which is bigger: 417\/16 or s?\nAnswer: 417\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvdy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155120 by 31024.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -34. Let y(s) = s**2 + 0 + 3*s - 2 + 0. What is the lowest common multiple of 22 and y(t)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2047 + -3537. Round k to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmfmm. What is prob of picking 1 f and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, -0.74, -2?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d. Let t(q) = -2*q**2 + 259*q. Determine n(t(i)).\nAnswer: -18*i**2 + 2331*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 34. Let p = h + 33. Calculate the greatest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 956*y - 971*y + 123, -4*g + 5*y - 28 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.89 to the nearest integer.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 - d + 25. Let f be r(0). What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107612.\nAnswer: 2, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390673*h + 390673*h - 2 + 100*h**4 - h**3 to u + v*h**3 + j*h**4 + o*h**2 + n*h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.974 - 12. Let w = q - 0.074. What is the second smallest value in 38, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*s + 107*s + 5*f = 25, -2*s + f = 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9483 and 1864227?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221 + -1102?\nAnswer: -20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - 5*l)*(-186 + 186 - 17*l**2) + (2*l - 2*l - 2*l)*(-6 + 2*l + 6)*(-6 + 42 + l - 20).\nAnswer: 30*l**3 - 64*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 722947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, g: 2}. Give prob of sequence gg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*k - 4*r + 16, r = 3*k. Suppose -4*b - 20 = -2*a - 3*a, -b = 5. Let y = a + k. Which is smaller: y or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 498193888 and 9.\nAnswer: 4483744992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15354469 + 15354425.999758. Let i = 43 + q. Round i to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Let c(s) = s**2 - 6*s + 7. Let n be c(6). Suppose -5*m + 3 = -n. Solve d*j = -5*u + 7, m = 3*u + 3*j - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o*o)\/o*o**(-9\/2))\/(o**(-3)*o)**(-4\/9) assuming o is positive.\nAnswer: o**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:52 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75456*a**4 - 3*a**3 + 1801208 wrt a.\nAnswer: -301824*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 338 = 340. Factor 2*k**2 - 1 - 8*k + 6*k - 1 + a*k**3.\nAnswer: 2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 15, 0.09 in decreasing order.\nAnswer: 15, 0.09, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u + u**2 + 10*u**3 + 4*u - 5*u - 1 + 4*u - 11*u in the form v*u + g*u**3 + c*u**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251084 + 0.048326052.\nAnswer: -251083.951673948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5901453*l**5 - 70*l + 13861 wrt l?\nAnswer: -118029060*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02022 - 0.02. Round l to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3954?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2484, -2478, -2472, -2466?\n\"Answer: 6*o - 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 - 21558*f**2 - 36553140*f + 7924570200 = 0.\nAnswer: -3690, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4602 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from rfifnaiffnis.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(6\/12) + 3. Solve 9 = -3*t, 0*x - 13 = a*x + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 8*j + 17. Let u be k(-4). Sort -3, u, 5, -17 in descending order.\nAnswer: 5, u, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**2\/2 - 4*h + 7. Let c(f) = -2*f - 5. What is -2*c(p) + 3*w(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/637415 and -77\/30.\nAnswer: 3824490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -29, -36, -43?\n\"Answer: -7*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55521.\nAnswer: 3, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m - 351 = -79 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/5, -1\/3, 2\/19, -4, -0.3, 4.\nAnswer: -4, -1\/3, -0.3, 2\/19, 13\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2117 - -2173. Calculate the greatest common factor of 6328 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 3*k**2 + 2*k - 2. Let d(t) = -t + 1. Let y be d(7). Let w be l(y). Suppose 6 = -4*m + w. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + 103 - (-20 - (7 - (-5 + 2)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60449.00004 + 60451. Let l = -2.186 - -0.186. Let g = p + l. Round g to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2. Let h be (u - (-3)\/6)\/(-2). What is the closest to 0 in 0.4, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*i - 124 = -2*i, 43 = l - 2*i. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = v + 10 - 23, -18 = n - 4*v. Suppose 0 = 5*k - 5*w - 5, k - 4*w - n = -2*w. What is the units digit of k\/((-2)\/1) + 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101\/194 - 2\/97. Let l be 5*6\/(-18)*(-6)\/4. Let m = 1 - 0.5. Which is the nearest to h? (a) m (b) l (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/4 + 24971*k\/4 - 37461\/2 = 0.\nAnswer: -24974, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*h + 21 - 6, -3*l - h = -10. Let w = l + -5. Let g = w - -3. Solve 4*k = -g*s + 14, 4*k + 1 = -3*s + 3*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 + -9?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55e837 (base 16) in base 11?\nAnswer: -31a59a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 13204820?\nAnswer: 52819280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**3 + 3*l**2 - l - 3. Let p(q) = 6*q**3 + 4*q**2 - 2*q - 4. Let b(k) = -5*d(k) + 4*p(k). Is b(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -37*w**3 + 36*w**3 - 24*w**2 + 21*w**2. Determine n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2 + (-144)\/60 + 123*(-4)\/(-30).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 96. Suppose -3*u + q = -0*u. Suppose -10*r - 750 = -16*r. Calculate the remainder when r is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/2)\/((-32)\/(-4736)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21577 + -21185. What is the greatest common divisor of 1750 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f - 4*f + 126 = 0. Solve -f*j - x = 6, -x + 3 = -2*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -68505 = -68498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306563 = -9748*m - 278317 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmh. What is prob of sequence mh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - -a?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 690022*z - 2 + 67974*z.\nAnswer: -622048*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from eaueaueeuuuumaueue?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 36 = 4*r - 3*v, 0 = -4*r + 5*v + 36. Suppose -r - 3 = -3*p. What is the first derivative of 8*f**p - 7*f**4 - 3 + 5 wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 12*q**2 + 7. Let h(b) = 37*b**2 + 20. What is -4*h(v) + 11*t(v)?\nAnswer: -16*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 411?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0*m**2 - 1\/18*m**6 - 18*m + 5\/36*m**4 - 5\/18*m**3 + 1\/12*m**5 + 2. Factor x(z).\nAnswer: -5*z*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7 + 6\/7*t**2 + 2\/7*t**3 + 6\/7*t = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3751 (base 8) in base 15?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -255, -268, -281, -294, -307, -320?\n\"Answer: -13*h - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b = -33*b + 24. Let i(w) = -12*w**2 - 14*w. Let x(g) = -8*g**2 - 9*g. Determine b*x(z) + 5*i(z).\nAnswer: 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-18))\/((-4)\/6)*-6. Let q(l) = -2*l**2 - 10*l + 72. Let d be q(h). Solve d = -4*m - 7 + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from jjiaz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 8*v. Suppose 3*z = 5*z. Solve 4\/7*o**4 + v*o + 2\/7*o**5 + 0 + z*o**2 + 2\/7*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-108)\/21)\/(7\/(-63)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(17) - sqrt(17)*2) + sqrt(17) + 4 + sqrt(17) + -4).\nAnswer: 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431 + 892. Calculate the remainder when n is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {i: 1, r: 2, v: 1, t: 1, o: 1, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (13 - -17 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etiticztzli. What is prob of picking 1 i and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 9. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 - -4688201571.\nAnswer: 4688201569.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2348474*o**3*q*t - 5*o**2*q*t + 77*o**2*t - o**2 + 2*o*t + 25*o + q*t wrt o.\nAnswer: -14090844*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3401*w**3 - 3403*w**3 + 19)*(2*w**2 + w**2 - 4*w**2).\nAnswer: 2*w**5 - 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -87.9609. Let n = -4.9609 - q. What is the fourth smallest value in n, 1\/6, 22, -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j + 13 - 2*j - 13.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3687964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100673, -100671, -100669, -100667, -100665, -100663?\n\"Answer: 2*w - 100675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 20*u**7\/21 - 9*u**4\/4 + 15*u. What is the third derivative of z(t) wrt t?\nAnswer: 2400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiii when four letters picked without replacement from iiiwiiw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 193 = -4*d - 201, 5*u + 31 = 2*d. Solve -31 = -4*p + 5*m + 2, -2*p = d*m + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a decade in years?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -100. Let r be (2 - p\/5)*5. Let j be ((-4)\/(-8))\/(2\/r). Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32514093698 and 14.4.\nAnswer: 32514093712.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/((-748)\/17 + 43).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/9)\/g*g*g*g**(-6\/5)\/g*g**(-2\/5)*g*g*g**5 assuming g is positive.\nAnswer: g**(223\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56046, -112097, -168148, -224199, -280250?\nAnswer: -336301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7701 divided by 13\nAnswer: 7701\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 189251*q*y + 61*y - 1308 wrt q?\nAnswer: 189251*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83987093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254602527.\nAnswer: 277, 4529251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/6))\/p**(4\/3))**4 assuming p is positive.\nAnswer: p**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6339190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 12:02 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11881*g**2\/6 - 1526*g\/3 - 98\/3.\nAnswer: -(109*g + 14)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -5, -251453.\nAnswer: -251453, -5, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/4)\/((-30)\/(-80)). Suppose 8*y - 110 = 3*y. Let s = y - a. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + -0.2. Let i = 200452.1 - 200452. What is the second biggest value in 6, v, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 34 = -3*r, 0 = 4*g - 0*r - r + 82. Calculate the common denominator of 6\/7 and 42\/8 + (-5)\/g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 119 in -2, 597, -1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1189.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 567?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*r - 163*r = 82*r - 3*r + 77928 for r.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2061*v - 2070*v - 736 + 4129*v as y + j*v and give y.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 - 5*k**2 + 68*k + 180. Let i be b(-5). Calculate the greatest common factor of i and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896992577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**4 + t**3 + t. Let n(m) = 5*m**4 - 6*m**3 + 33*m**2 + 265*m. Let f(j) = 6*d(j) + n(j). Find the second derivative of f(u) wrt u.\nAnswer: -12*u**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -53*a**3 + 2*a**2 + 2*a + 1. Let k be o(-1). Suppose 3*t - k = -0*t. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 782 - 848. Let s be 5 - 4 - 34*(-1 + 3). Are s and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*x + 2*x + 20, -4*x + 8 = -2*i. Is x at most 4\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 4*s - s + (2 + 2 + 6)*(5*s - 2*s - 2*s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.1, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-2\/3)*r*r)\/r)*r*r*r**(-7)*r)\/(r**(-8)*r*r**(4\/3)) assuming r is positive.\nAnswer: r**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (8 - 2) + ((20 - 15) + 7 - 23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -28 + 147 + -144 - -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4*y)\/((y**(2\/11)\/y)\/y)*y**(-2\/23)\/(y\/(y\/(y*((y**(-1)\/y*y)\/y)\/y*y*y)))*(y**(-2)*y)**(3\/5)*(y**(2\/7)*y)\/(y**2\/y) assuming y is positive.\nAnswer: y**(65677\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 + 319 = 0. Let w = -22 - k. Suppose -m - 42 = -4*o + 26, 0 = 2*o + 2*m - 34. Calculate the greatest common factor of o and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.3100581 + 14.31. What is m rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 95*p**2 + 41*p**2 + 77*p**2 + 4*p + 2*p**2 - 4*p + (-4*p - p + 4*p)*(2*p + p - 7*p).\nAnswer: 29*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-36)\/(-369)) + (1 - 1). Let o = f + 65. Solve 3*a - o = -3*y, a - 2 = 4*y - 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4974377 - 2671025. Suppose -1436648 = -20*r + a. What is r rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -537\/4 + 135. Let s be ((-2)\/18)\/(6\/36). What is the second biggest value in b, -2\/9, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -646 - -1?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 412138111 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -102001211202 (base 3) in base 4?\nAnswer: -311030000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -535c8b (base 15) to base 12\nAnswer: -13b4688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 2. Let v(i) = 11*i**3 + i**2 + i - 1. What is the units digit of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -4, 277?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-16 - (-39 - (9 + -35)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:49 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.202907 micrograms to grams.\nAnswer: 0.000008202907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11628, -46534, -104708, -186150, -290860, -418838, -570084?\nAnswer: -744598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 43 - 95 + m)*(2 + 4 - 7).\nAnswer: -m - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 283 + 4*w**2 + 0*w**2 - 5*w - 289 + 0*w**3. Calculate x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 6*x + 27. Let t(y) = 0 - 2*y**3 - 13*y - 14*y**2 - y**3 + 2*y**3 - 5. Give t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/4)\/11)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7 + 42\/(-49))*-7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 2*d**6\/15 + 7*d**3\/6 + 27*d**2\/2 + 6*d. What is the first derivative of c(v) wrt v?\nAnswer: 16*v**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/120 + i**5\/30 - i**4\/6 + 5*i**3\/6 + 9*i**2. Does 19 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*c + t + 42936, -5*t = 15. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -682653 divided by 2181?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*u**3 + 881*u**4 - 268*u**4 + 34*u**3)*(2*u - 2*u + u - 3*u - 3*u + 5*u + (-5*u + 0*u + 3*u)*(0 + 2 + 0) + 3 - 3 + u - u + 4*u - 2*u).\nAnswer: -1226*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -528.4 - -33.4. Let d = -494.148 - n. What is d rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7715125, 15430249, 23145373, 30860497, 38575621?\n\"Answer: 7715124*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33\/8 + 577\/136. Let p = -16939\/39557 + -2\/5651. Let n = 1537\/44 - 139\/4. Sort n, p, 0.5, v.\nAnswer: p, v, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 15) to base 3.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6678767ml in litres?\nAnswer: 0.0006678767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/81945312 and 31\/92188476.\nAnswer: 737507808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165200 - 4?\nAnswer: -165204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/21*(58 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b. Let l(f) = -2*f + 15. Let a be l(8). Let x = b - a. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, 0.5, -3, -281268\/55, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 - 30*t**4 + 1370*t**3 - 8020*t**2 + 12075*t - 5390 = 0. Calculate t.\nAnswer: -22, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17*(-44)\/(-1496))\/(1\/44*-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 5, 188.\nAnswer: -37, 5, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(960\/72))\/((21\/(-6))\/7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22485*j**3 - 540*j**2 - 36323038?\nAnswer: -67455*j**2 - 1080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/9080 and 46\/43791705.\nAnswer: 350333640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*o + 3512 - 5445 + 38236 = -16997 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h**(-2\/7)*h)\/h))**9)**(2\/49) assuming h is positive.\nAnswer: h**(288\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 14*m**2 - 22*m - 24. Let u be k(12). Let p(l) be the third derivative of 1\/24*l**4 + 12*l**2 + u*l + 0 - 2\/3*l**3. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from {p: 7, v: 1, l: 1, w: 2, g: 9}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*x - 12 = 0, 20*x - 22*x + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = -2*p - p, 0 = p - 2*y + 2. Suppose -9*h + 32 = 14. Let u(i) = 8*i - 9*i + 2*i**h + 3*i - 2*i**3 - i - 2. Give u(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 6 (c) -3 (d) 5\/4 (e) -72\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4 (b) -2 (c) -23\/48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920983 is divided by 284?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*76\/(-60)*(-12)\/(-2622)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17137.2 from 102.\nAnswer: 17239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/2210*-13)\/(-28*4\/120).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 21, -119, -1, 1, 0 in increasing order.\nAnswer: -119, -5, -1, 0, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 + 7 = 0. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 23*o - 12. Give t(-18).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5113376 + -3937\nAnswer: -5117313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 125152150 (base 6) to base 9\nAnswer: 4611213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 2*s + 1. Let p = 29 - 20. What is the remainder when (-6)\/p + (-24)\/(-9) is divided by t(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.26503 hours to milliseconds.\nAnswer: 332154108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400742.1 centuries in millennia?\nAnswer: 40074.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 16\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 12 + 18. Let q be b\/21 + (-8)\/(-28). Sort 2, q, -4.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-390)\/(-18))\/(29*(-64)\/(-8352)).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 + 2*r + 1\/6*r**3 + 0*r**2. Let s(u) = -5*u. Determine g(s(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + x - 29 + 100 = 0, -5*g + 123 = -4*x. Solve g - 11 = 6*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 12:17 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 - 2*c**2 - 3*c + 3. Calculate o(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from cxxcxecxccccc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97561, 96698, 95835, 94972, 94109?\nAnswer: 93246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*2*sqrt(144) + sqrt(144)*2*-5 + sqrt(144)))\/((sqrt(24) + sqrt(96) + sqrt(96)*1)\/(3*sqrt(32)\/sqrt(4))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73170 divided by -6?\nAnswer: 12195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 1\/2, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -386547 divided by 233\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -4) + 0 - 4. Let b = -29 + 34. Suppose 7*g + 8 = b*g. Is k greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.30914ml to litres.\nAnswer: 0.00130914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuy when three letters picked without replacement from bqyuqbqqyukkb?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Let r = 185.1 - 185. Which is the second smallest value? (a) -0.1 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/5)\/((-1101)\/7340).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, i: 12}. What is prob of picking 2 n and 1 i?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*z + 45, 0 = -2*z + y + 29 + 2. Suppose -4*p = z*p - 5724. Is p a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = -20. Let m be (3\/q - 0) + 6. List the prime factors of (-2)\/(m\/(42\/(-4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107106.55 + -2.28\nAnswer: 107104.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1677414 (c) -2\/23 (d) 0.1 (e) 0 (f) -2\/11 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1668)\/695)\/((32\/(-48))\/(2\/(-4)))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-2)\/(-4)*8. Suppose -34 = -3*j + n, -j + 3*n + 2 = -c*n. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 12 - 19 = -4*s, 4*s - 13 = -r. Let l be 2*r\/4*2. Let j be (-3)\/(-2)*(-36)\/27. Sort l, j, 5 in descending order.\nAnswer: 5, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83962, -83657, -83352, -83047, -82742, -82437?\nAnswer: -82132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a hour in minutes?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.2 (c) 2 (d) 4 (e) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 + 0 = 0. Solve z = -5*f + 5*l, -l + 4*l = -f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 15 - 121 = 189*r + 59 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t - 4. Let c be i(-3). Let y(n) = -10*n + 6. Let a(d) = 9*d - 5. Let f(g) = 4*a(g) + 3*y(g). Is f(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-37*t + 33 - 15 - 15) to k + m*t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-4))\/(12 - 6). Let a = 4.04 - 4. Let k = a + 0.16. Is k bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/951852068 and 91\/2?\nAnswer: 951852068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.679987 to two decimal places.\nAnswer: -2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432 and 1026.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 6:34 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 12) + (71 - 64)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8011560, -8011558, -8011556, -8011554, -8011552, -8011550?\nAnswer: -8011548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose -x*y - 11 = -71. Calculate the greatest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 645 = 5*w, 17 = 3*j + 2. Calculate the greatest common factor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 67 + 11 = 0. Calculate the remainder when u is divided by ((-18)\/(-10))\/(18\/90).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15389242.6 times 1?\nAnswer: 15389242.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -605, -603, -601, -599, -597, -595?\n\"Answer: 2*s - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 6*b**2 + 3*b - 7. Let f be i(-5). Solve -1 - f = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.3348 - -0.3108. Let a = h + 15. Let v = a - -0.024236. What is v rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -205*r - 167*r + 20*r + 93*r in the form i*r + c and give i.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 65*c**2 - 18*c - 12. Let v(t) = 23*t**2 - 6*t - 4. Let h(x) = 6*l(x) - 17*v(x). Let s be 1500\/(-255) - (-4)\/(-34). Determine h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1761, 3504, 5221, 6912?\nAnswer: 8577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p*p*p**0)\/((p*p**2)\/p)**35 assuming p is positive.\nAnswer: p**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8*h - 5. Suppose 0*o + 3*t - 3 = 3*o, 0 = 2*t - 6. Let q be -2 + 3 - o\/2. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -14304?\nAnswer: 14302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n + 4*n**2 + 18*n + 8 as r*n**2 + h + y*n and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 3*c**2 + 2. Calculate b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 3*w + 15 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.2. Let s be 48\/(-315) + ((-36)\/21 - -2). What is the nearest to k in 0.3, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - j + 2 + 10 - 9, 228 = -4*c + 32*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + -2*sqrt(1053) + sqrt(1053) + 1)**2)*-2.\nAnswer: -2148 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 11. Let h be u(13). Suppose -h*r + 5*p + 21 = 0, -2*r - 2*p - 9 = -3*r. Find the first derivative of -r*i**3 - 5 - 6 + 4*i**3 - 5 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = -4*o + 25, -2*k - 13 = -o. Is 5 a factor of (-1 - -2)\/((56\/1192)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(104) + 1*sqrt(104) + sqrt(104)))\/(sqrt(32) + sqrt(96)\/sqrt(3) + sqrt(32)) - (-2 + (sqrt(1573) - 1*sqrt(1573)))*-6)**2.\nAnswer: -60*sqrt(13) + 901\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)*q**(4\/7))\/(q**(2\/7)\/(q\/(q**7*q))) assuming q is positive.\nAnswer: q**(-289\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 45. Let h be g(-50). Put -5, -39, h in descending order.\nAnswer: h, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 31 = -3*f, 0 = 4*f + 932*k - 937*k - 62. Let g(u) = 23*u - 1. Let x be g(4). Calculate the greatest common factor of f and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raarrrw. What is prob of sequence rawr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66742950*s**4 + 176*s**2 + 327110*s.\nAnswer: 1601830800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 53. What is the units digit of 96 + -10 - ((0 - p) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -12 + -313 + 310?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152 + -155. Let n(q) = -41*q + 5. Let f(t) = 81*t - 8. Let o(i) = k*f(i) - 5*n(i). Let m(w) = w**2. Give o(m(d)).\nAnswer: -38*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c906 (base 13) to base 11.\nAnswer: 39460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63, -67, -71, -75, -79, -83?\n\"Answer: -4*q - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 7*i**2 + 7*i - 10. Let f(y) = -2*y - 9. Let t be f(-8). Is u(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 60 (c) 2\/19 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285376 and 1712256.\nAnswer: 1712256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 3, w: 3}. What is prob of picking 1 u and 1 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -49*k**3 + 345*k**2 - 101*k + 558. Calculate i(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**2 - r**3 + 2*r**3 + 3*r**3 + 57*r**2 - 4*r**2.\nAnswer: 4*r**3 + 90*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**7\/f*f)**(-20)\/((f*f*f**(-11))\/f*f**(-15)) assuming f is positive.\nAnswer: f**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 7. Suppose 0 = 3*m + 2 + 13. Let w(g) be the third derivative of -g**4\/12 - 4*g**3\/3 + 3*g**2 + 20. Determine m*w(k) - 6*r(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, 14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 2679*g**2 - 128.\nAnswer: 2679*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuuqwes. What is prob of sequence sfqw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163206 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/5 (c) 0.3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16.588245 months?\nAnswer: 0.0138235375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 + z. Let q be -11 - -11 - -109*1. Suppose -8*u - q = -269. Calculate the least common multiple of k(1) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -6. Let z be (-1 - 0)\/(5\/((-125)\/5)). Solve -s = -z + a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5160331 * -4\nAnswer: -20641324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**3 + 9*p**2 + 194*p + 693. Give q(-4).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1409a0?\nAnswer: 1409a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:07 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 1. Let d be j(1). Let z(h) = 2*h - 2*h + 2*h - h + 2. Determine z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 29*k + 0 + 1514*k - 758*k.\nAnswer: 785*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bfb4b (base 16) in base 8?\nAnswer: -6775513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.16611 centimeters to nanometers.\nAnswer: 211661100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.054 + -0.144. Let p = -5420.0900048 - -5420. Let s = q - p. What is s rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -3633.\nAnswer: -1816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkb when three letters picked without replacement from khdkbkkhd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 2*j**2 - 2 + 3)*(-1 + 0 + 3)*(2*j - 5 + 5).\nAnswer: 8*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, 71, 117, 181, 263, 363, 481?\n\"Answer: 9*s**2 + s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5261062 is divided by 17595.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*d + 208*d + 3204 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24273 - -12452045\/513. Find the common denominator of f and 86\/285.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -2*s + 868. Suppose -s = -2*o - 141. Calculate the highest common divisor of 31 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.08751 + -0.08751. Let c = -31 - -10. Is n smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6434993, 6434997, 6435003, 6435011, 6435021, 6435033?\nAnswer: 6435047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164542 and 67160?\nAnswer: 3358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17425 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37, -4, -0.2, -1\/3, 39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/((-40)\/250)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-7))*m**(-5))**(2\/17) assuming m is positive.\nAnswer: m**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015719 to six decimal places.\nAnswer: 0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -5*n**3\/3 - 90*n**2 - 1620*n + 176. Factor z(r).\nAnswer: -5*(r + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjjpjgjjjjggmjppj. Give prob of sequence pmj.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -23*k + 70. Let z be u(3). Sort -46, z, -1, -4.\nAnswer: -46, -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173699596 to the power of 1\/2, to the nearest integer?\nAnswer: 13180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**3 - 577 + 579 + 10*f**2 - f - 8*f**2 in the form m*f**3 + a*f + d + b*f**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21 - -1321193080.\nAnswer: 1321193079.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 + 5578 = -223*j + 24923 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10890 is divided by 388.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*o + 76*o = 487 + 201 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -295 + 1288. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 434 = -5*v, 0*l + 3*v = -2*l + 289. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -9 (c) -0.2 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-5))\/(72\/78)*3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, t: 2}. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*q - 2, a - 4*q = 6*a - 30. Let n(o) = -3 + 9*o + 3 - 1. List the prime factors of n(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-385)\/(-14))\/(-5)*((-234)\/273)\/((-3)\/(-14)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*q + 7 = 7*q, -1 = q. Let p = 4101 + -4112. Sort c, 0, p.\nAnswer: p, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = -4. Let z = -5.1 - -4.2. Let i = z + 5.9. Which is the closest to q? (a) 0.1 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-132)\/36 - (0 + (-2)\/3). What is the nearest to -1\/3 in -2\/5, 2\/5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*c**2 + c**3 + 103*c**2 + 16 to the form u*c**3 + j*c**2 + f + n*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 27*h - 22. Suppose f = -5*f + 132. Let u be o(f). Suppose 25 = 5*z, -u = -4*c - 4*z + 44. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and 347.\nAnswer: 346.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let d = -10 + 9. Which is the closest to m? (a) 0 (b) d (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 1, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2\/(12\/51). List the prime factors of ((-6)\/(-3))\/(-2)*q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -145 and -0.3.\nAnswer: -145.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 25478*j**2 - 919352*j + 5723200.\nAnswer: 2*(j - 28)*(j - 8)*(j + 12775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 2, r: 8, a: 1, t: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p. Suppose -5*f + 25 = 0, 3*v + 21 = 4*v + 4*f. Let m be 7\/2 + v + 15\/(-10). Let r(t) = 3*t. Calculate m*u(c) + 5*r(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 3*g**2\/2 - 1. Let w(d) = 4*d**2 - 3. Let b(s) = 5*s**2 - 4. Let k(t) = 3*b(t) - 4*w(t). Calculate k(j(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2145512 (base 8) to base 6\nAnswer: -20204110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -23. Let x = 5.8 + t. Let s = -0.2 - x. Which is smaller: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: (20\/(-616)*11)\/((-422)\/36 + 12)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10563, 21180, 31797?\nAnswer: 42414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a + 3. Let d(u) = -60*u + 12. What is 5*d(z) - 21*w(z)?\nAnswer: -6*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -50*v - 89. Calculate r(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 - 5 = 5*k, y = -2*k - 8. Let p be 32\/(-10)*(1 + k). Let l = 26 - p. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 + 41. Find the common denominator of 7\/4 and j\/(-4)*(-6)\/15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-20) + 157\/5. Suppose -k + 3*k = -4*u + 28, 3*u = -4*k + r. Factor u*l**5 - 5*l**4 - 12*l**5 - 8*l**3 + 4*l**5 + 2*l**5 - 4*l**2.\nAnswer: -l**2*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 8*d - 24. Let w be m(-10). Let a be (-24)\/(-36) - w\/(-6). Solve a = -q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 44*t**2 + 2*t - 5. Let j be h(-9). Let v = j - 2480. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001401 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -3*j**7\/14 + 199*j**5\/20 - 1465*j**3\/3 - 3895*j. Find the second derivative of p(i) wrt i.\nAnswer: -180*i**3 + 1194*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -665*c + 648*c + 170 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00645849 rounded to four dps?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fukukuukuku. Give prob of sequence uf.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**4 + 59188*d**3 + 1457*d - 13?\nAnswer: -84*d**2 + 355128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8169 divided by 2.\nAnswer: -8169\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1309)\/(-255) + -5)\/(2\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1868*k + k - 517*k)*(3*k - 3*k - k) to z + x*k**2 + g*k and give x.\nAnswer: 2384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2220*k + 1278*k + 4043 + 52477 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2 = 2*h, 2*u + 2*u + 3*h - 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*r - 377. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 29, 4 in ascending order.\nAnswer: -54, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 205\/15 - 2\/3. Suppose p - j + 48 = 5*p, -2*j = 2*p - 18. What is the greatest common factor of p and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 707, 1053, 1401?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24740289505.58 take away -11?\nAnswer: -24740289494.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -34. Let v be ((-4)\/y)\/(5\/240). Suppose -3*f = -a - 44, -5*f - a + 36 = -v. What is the remainder when 54 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426414 by -147.\nAnswer: -142138\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tty when three letters picked without replacement from {a: 1, t: 1, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -57, -153, -297, -495?\n\"Answer: -a**3 - 15*a**2 - 2*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*m**4 + 27*m**5 + 26*m**4 - 10*m**4 + (m**5 + 0*m**5 - 2*m**5)*(-4 + 5 - 6).\nAnswer: 32*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -992, -200, 1 in decreasing order.\nAnswer: 1, -200, -992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-640)\/(-24)*12\/(-10). Let x = y + 72. Suppose -3*r + x = -r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 9 = -3*d, -f + d = 5*d + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 486 + 126 = 37*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81.029 - 1.029. Let h = -76.1 - 6.9. Let x = p + h. What is the closest to -2\/3 in 2, -18, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let w(q) = 3*q + 1. Let a be (-16)\/(-40) + (-68)\/(-5). Let n be (-4)\/14 + 88\/a. Let d = 8 - n. Calculate d*w(c) + 5*z(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 equal to -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Solve d*y + 16 = 0, 2*c = 2*y - 0*y + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -999285 - 0.1.\nAnswer: -999285.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 550351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36735 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/47 or -1?\nAnswer: -12\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 456, 453, 450?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5208989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + 0*s)*(-2*s - 253 + 253)*(-231 + 101 - 199).\nAnswer: -1316*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11588926337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65243886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 - 5 = 0. Suppose 6*b - m*b = 4. Is b at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - ((-37 - -50) + -17) - 53?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-4)*f)**(-21)\/(f**(-3\/2)\/(f\/(f\/(f*f**(-6\/11))*f))))**(-2\/27) assuming f is positive.\nAnswer: f**(917\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33974, -136007, -306094, -544235?\nAnswer: -850430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79.5 - -80. What is the closest to 1 in -1\/5, 24, h, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + -14 + 7 + 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1571 - 1552 - (-1 + 2 - -23) - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 smaller than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.1. Let h = -11.6 + 12. Let m be (-2 - -2)\/2 - 1. Which is the closest to -2? (a) l (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 40 = 0. Let b = -1 + 5. Suppose -f = -2*f - b*o + 25, o = -f + i. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*z = m - 768*z + 3, -m + 3*z + 5 - 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 10101000010?\nAnswer: -10100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2209.8 + 2205.8. Let g = -11 + 8. Which is the fourth biggest value? (a) 1.3 (b) 0.5 (c) v (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-120))\/(27482\/(-755)).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 2. Let y(n) = n. Let r(b) = -b. Let l(g) = -5*r(g) - 3*y(g). Let z be l(-2). Let m be h(z). Solve 0 = 4*o + 2 + m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/5))**42*(m**1*m*m)**(-3)*((m**(-2\/3))**(-14))**(-22\/3) assuming m is positive.\nAnswer: m**(-1217\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6698 and 340.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vma when three letters picked without replacement from {a: 2, v: 1, h: 1, m: 1, c: 5}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -136600 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -2*y + w*y = l + 30, 2*y - 2*l = 34. Let d = y + -8. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/120 + o**5\/60 + o**4\/24 - 5*o**3\/2 - 13*o**2. Calculate q(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1736 and 2028082?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + 3*b - 3*b)*(0*b + 2*b + 0*b) + 10 - 3*b**2 - 10 - 6*b**2 + 2*b**2 + 3*b**2 + 3*b**2 + 4*b**2 + 0*b**2)*(3 - 2*b - 3)*(-1 + 4*b + 1).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -741347841\/890 + 832975. Calculate the common denominator of t and -31\/14.\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-5 + (-21635)\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:20 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149204638 is divided by 3391014.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3*t**2 + 129*o**3*t + 2*o**3 - 143*t**2 wrt t.\nAnswer: 2*o**3 - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/163 and -1\/23798?\nAnswer: 23798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20542201 or 20542199?\nAnswer: 20542199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17 = 5*p, 2*p + 11 = 3*l + 2*l. What is the units digit of 7\/2*(1 + l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*i + 5*g, -g + 190 = 5*i - 2*g. Solve i = 11*f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 15*o = -18*o - 11, 5*o + 6 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -21*g - 30. Determine n(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjjwdk. Give prob of sequence dk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3 + a**2 - 22*a?\nAnswer: 12*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7838 is divided by 662?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 18*y**2 + 39*y + 38. What is the remainder when 297 is divided by u(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gxxxg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1144, -4\/7, -1, 3, -2, -5 in increasing order.\nAnswer: -1144, -5, -2, -1, -4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 11, 1, -22 in descending order.\nAnswer: 11, 1, -22, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 988 + 1042 - 2030 - 21*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30702 - 1182. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2 + (-9)\/18. Suppose 3*w - 2*c - 49 = 0, 0 = -5*w + w - c + 58. Solve q*n + n = -w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 + 91 + 3*f + f + 99.\nAnswer: 4*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -125412937 and 0.5.\nAnswer: -62706468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -250*h**3 + 4*h**2 + 4*h - 4. Let o(u) = 1000*u**3 - 15*u**2 - 15*u + 15. What is -4*o(z) - 15*r(z)?\nAnswer: -250*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 4*w + 5*w + 5*w - 10*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-165)*2\/2\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 4) to base 15.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 2.7494286.\nAnswer: -5.2505714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/1 + -2 + 3. Suppose 2*a = a + 3. Suppose n + 9 + 5 = a*h, -h = -4. Put z, n, 2 in descending order.\nAnswer: 2, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 + 39*r + 11. Suppose -4*b - 60 = -5*f + 64, 4*f = b + 42. What is the units digit of l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4\/4 + 4*o**3\/3 - o**2 + 3*o + 7. Give t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/7))\/(((k*(k\/(k*k**(3\/5)*k))\/k*k)\/k)\/k*k)*(k\/k**0*k)**(-26) assuming k is positive.\nAnswer: k**(-1734\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 1042*z\/9 + 2060\/3.\nAnswer: 2*(z + 6)*(z + 515)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - 2*l**2 + 6*l**3 + 1674*l**4 - 1635*l**4 - 4*l**3 to c*l + p + q*l**2 + t*l**4 + v*l**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3110 divided by -842\nAnswer: 1555\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010321210 - -20?\nAnswer: -1010321140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22*q**4 + 4*q**2 + 19*q - 4. Let m(u) = 87*u**4 - 15*u**2 - 75*u + 15. Let z(j) = -4*m(j) - 15*n(j). Find the second derivative of z(r) wrt r.\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10042*-0.5\nAnswer: 5021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276056 + -276096.9979. Let q = -41 - g. Round q to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-137 - 12) + (2 + -15 - (-24 - 2))\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1790868 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*a**2*s**2 - 42*a**2*s + 81*a**2 - 2*a*s**2 - 1287*a*s - 5*a + 6 wrt a?\nAnswer: -70*s**2 - 84*s + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:36 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134441 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395281873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -13, 4 in decreasing order.\nAnswer: 4, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-18)\/(-6) - -355). Suppose 5 = 5*a, -3*v - 4*a + f = -v. What is the remainder when v is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 456 + -426. What is the first derivative of b - 89*p - 23*p - 27*p - 51*p - 112 wrt p?\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5498 + 3164. Let r = 2123519226 + -2123521559.999057. Let z = r - h. What is z rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1092)\/(-10) + 78\/(-15) + 5. What is the third derivative of -23*t**2 - 14*t**2 - 88*t**3 + 109*t - b*t wrt t?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -19. Let j = 27 - f. Solve -5*p - j = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or -3.18119?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 496 - 496.1996. Let o = -0.0496 - l. Which is greater: o or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b + 6. Let i be 4\/(-22) + (-7)\/22. Which is bigger: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136)*4 - sqrt(136)))\/sqrt(2).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/(30*(-50)\/15750).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5 - 22\/(-4)). Sort -5, -1, s in decreasing order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45221 (base 7) to base 12\nAnswer: -6748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**9\/168 + x**5\/12 + 3*x**2\/2 + 4*x. Let m(z) be the first derivative of l(z). Find the third derivative of m(u) wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 6*f + 19. Suppose 18*g - 25*g = -f. Solve 18 = g*s + 3*o, o - 8 = -5*s + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 8*o**3\/3 + o. Let p(n) = n**2 - 8*n**2 + 0*n**2 + 4*n**2 + 4*n**2. Give p(u(k)).\nAnswer: 256*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-1)\/x)\/x)**(28\/5)\/(x*x**(-1\/3)*x\/(((x**8*x)\/x)\/x)*x*x) assuming x is positive.\nAnswer: x**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -286, 4\/15, -0.13, -0.4?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*b = -24, -4*v - 4*b = -2*b - 32. Suppose 1 = -v*c + 57. Suppose -c*y + 1594 = 474. What is the highest common factor of y and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + o)*(99*o - 122*o - 2 + 0).\nAnswer: -23*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (-15 - -5 - 115\/(-23)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10354*j**4*v**3 + j**4 - 48375*j**2 - v**3 wrt j.\nAnswer: -248496*j*v**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66431, -66417, -66437, -66497, -66603?\nAnswer: -66761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11282?\nAnswer: 2, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 6119.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o + 2. Let n be g(2). Let z(w) = 18*w**2 + 8*w - 79. Is z(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -24. Sort -2, x, 9, -1 in decreasing order.\nAnswer: 9, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5 - 3) + (8 - 1) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914410 is divided by 1641.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 2*r + 0*r)*(-4 + 1 + 5 + (0 + 1 + 1)*(-2 + 3 - 3) - 390 - 1249 - 536) as x + d*r and give d.\nAnswer: 6531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 38. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1788 - 1788.4. Which is the second biggest value? (a) 3.6 (b) 2\/5 (c) 1\/2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*((-15)\/(-10) + -2). Suppose 2*n + n + 2*v = 921, 3*v - 921 = -x*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -32*t**2 - 3312 - 25*t**2 - t**3 + 4*t + 3313 + 55*t**2. Let v be -4*1\/(-2) - 5. Calculate z(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -11*z - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 455*d - 114*d + 195*d + 258. Is s(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*w = -2*o + 4, 0 = -5*w + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.9. Let q = -435 + 433.7. Let t = 0.1 - 1.1. Which is the nearest to n? (a) t (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2633*b**4 + 9*b**3 - 121*b**2 - 80*b + 1 wrt b?\nAnswer: 63192*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/15 - (-10)\/3. Suppose -4*b = -4*f + 388, -4*b - 226 = -d*f + 65. Suppose -2*c - 25 + f = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/3 + 34052*w**3\/3 + 102120*w**2 + 306324*w + 306306 = 0 for w.\nAnswer: -17017, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**4 + 20*u**2 + 4 - 6*u**4 - 24*u**4 - 2*u**3 - 4.\nAnswer: -2*u**2*(u + 1)*(11*u - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.751, -10, 1, -1?\nAnswer: -0.751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 100. Calculate the lowest common multiple of w and (1 - 1 - -1)*5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4127 + 4127. Solve -24*m - 14 + 62 = q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 47 = 13. Let m be (-1113)\/(-70) - (-2)\/20. Let u = m - c. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*j + 9, 4*j - 4 = 16 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -138. Suppose 5*z = 53 + r. What is the common denominator of -10\/71 and (-2)\/z*((-5 - -4) + -4)?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-6))\/((-2)\/3) - 2. Is u + -2 - (-498 - 2)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 7*c**2 + 7*c - 3. Let r be y(6). Suppose 4*t - f = 287, f - 4*f + r = 0. What is the highest common divisor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6883392*p**3 - 5884601*p**3 + 1709326*p**3.\nAnswer: -11058667*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36954, -147780, -332504, -591138, -923694, -1330184, -1810620, -2365014?\n\"Answer: -2*y**3 - 36937*y**2 - y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -15 (c) -7\/10 (d) 0 (e) -5\/2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4587, -4396, -4209, -4026, -3847?\n\"Answer: -2*q**2 + 197*q - 4782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a (base 14) in base 8?\nAnswer: -622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 5*z - 4. Let s be o(-7). Let r = 19 + s. Let f be (-36)\/(-6) - (2 + r). Solve 4*v = -d + 12 - f, 5*d = -3*v + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 264 = 12*r. Suppose -4 = -3*u + u. Suppose i - 3 = -u*i. Calculate the smallest common multiple of i and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 19*d = 0. Suppose d = -4*h + h. Let c = 0 - -2. Solve -c*j - 12 + 4 = h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y + 6*y - 20*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 758911 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/7)\/(5*7\/(-245))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 20*m**2 + 672*m - 9800. Let s(d) = -12*d**2 - 405*d + 5880. Let o(a) = 7*r(a) + 12*s(a). Factor o(k).\nAnswer: -4*(k - 10)*(k + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118.60000452 + 118.6. What is g rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njmngmgmtj. Give prob of picking 1 g and 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2467 = 5*j - 933. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823086.\nAnswer: 2, 3, 11, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 37539.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 7:50 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 6 - 9)*(0 - 2 - 2)*(2*q + 3*q - 6*q).\nAnswer: -172*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3405852 is divided by 75?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 8615332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 16 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 1367?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3189390 by 7779.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 18. Let p = -28 - -37. Let o be f(p). Suppose o*q + 217 = 4*q + 5*w, q + 5*w - 58 = 0. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(2*20\/(-25))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -455*w**3 + 143*w**2 + 143*w - 143. Let g(j) = 19*j**3 - 6*j**2 - 6*j + 6. Calculate 6*d(n) + 143*g(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*r**2 - 2 + r**2 - 4*r + 4*r - r**2 + 2*r**2 + r**2 + (1 - 1 - 2*r)*(3*r + 0*r - 4*r) + (5 - 485*r + 250*r + 232*r)*(2*r + 2 - 2).\nAnswer: -3*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8039461956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 + 4?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k + 2883 - 11501 = -14*k - 5720 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8100\/1296)\/(10\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c + 273. Give s(-26).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2125890 - 21*f + 24*f - 2748*f**2 - 2125890 as k*f + z*f**2 + d and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33097, 33137, 33175, 33211, 33245, 33277, 33307?\n\"Answer: -c**2 + 43*c + 33055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -3952.\nAnswer: -1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3858 and -2?\nAnswer: 7716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*x**3 - 2376*x**2 - 3908*x - 1584 = 0. Calculate x.\nAnswer: -44, -1, -9\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 10. Suppose 5 + 25 = -3*v. Calculate u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 + 2*w**2 + 0*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3343*j - 3345*j + 35, 2*j + l = 25 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3526 + 5698 = -1217*n + 17080 + 11866 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3078*p**3 + 58*p**2 - 57*p + 6. What is u(1)?\nAnswer: 3085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 8 = 6*w. Suppose 0 = -w*f + 2*h + 364, 5*h + 772 = 3*f + 226. Let z = 425 - f. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z + 58*z = -28. Sort 5, z, -10 in descending order.\nAnswer: 5, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18228855?\nAnswer: 3, 5, 79, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 206210 + 113542?\nAnswer: 319752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j - 1. Suppose g - 9 = v - 4*g, -g = 5*v + 19. Let n be x(v). Let d(y) = -7*y**2 - 2*y - 1. Give d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6114*r - 20522*r = 1239088 for r.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 4*n**3 - 42 + n**3 - 8*n**4 + 23 + 2*n**4 + n**2 in the form g + b*n**2 + p*n**3 + s*n**4 + z*n and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, o: 1}. Give prob of sequence od.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - (-17)\/(-3). Let v(q) be the first derivative of 5*q + 9\/2*q**2 + 100. Let t(g) = 8*g + 4. Calculate l*t(h) + 4*v(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 91*m - 5. Let u(q) = 2*q. Determine f(u(k)).\nAnswer: 182*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -4. Let s(v) be the first derivative of v**4\/4 + 2*v**3 - v**2 + 2*v + 18. What is the remainder when u is divided by s(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, -103, -368, -739, -1216?\nAnswer: -1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -37*c**2 + 140*c - 667. Let p(w) = -5*w**2 + 20*w - 95. Let j(a) = -2*f(a) + 15*p(a). Find g such that j(g) = 0.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctctttcttmtmtmtctt. What is prob of picking 2 m and 1 t?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*j - 65*j + 10*j + 2)*(0*j**3 + 0*j**3 - j**4).\nAnswer: -7*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -454, 0.3, 4, -0.1 in decreasing order.\nAnswer: 4, 0.3, -0.1, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + c + 1 = 0, c + 2 = 3*d + 1. Suppose -a = 5*h + 4, 0 = -a - d*a + h - 28. Let z = 28 + a. Solve -i + 3*i - 1 = f, -z = -2*f + i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 8*o**2 + 9*o + 10. Suppose -t + 7 + 0 = 0. List the prime factors of s(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = -4*k, 5*z - 6*z = 2*k. Solve z*i + c = -1, c + c + 11 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(855\/(-513))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-69)\/(-15) - (-4)\/10. Let v = 8 - q. Suppose -c = 5*w - 80, 3*c + c + 71 = v*w. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.6 - -0.6. Let b be (2\/(-3))\/(14\/(-9)). Put n, -0.3, b in decreasing order.\nAnswer: b, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 480331648?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 890.\nAnswer: 1\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515472 is divided by 172.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 0.1, -1059?\nAnswer: -1059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 6242 (c) 10\/19 (d) 5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -858*q - 26570 = -868*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-8) - (-5)\/8. Which is the closest to r? (a) -0.04 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*p - 17, 3*r + 16 + 1 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-40)\/12 + 2). Suppose -w*l = -5*q - 0*q - 285, -5*l + q = -372. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64944 divided by 41\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*c - 0*c + 5, -5*g + 11 = -c. Suppose 22 = g*m - m. Calculate the remainder when 32 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*p + 70 = 2*p, 44 = 2*z + 4*p. Calculate the highest common divisor of z and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68789*r + 39 - 137582*r + 68793*r - 39 + 5*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**4\/2 + 919*v**3\/2 + 106256*v**2 + 314646*v = 0.\nAnswer: -458, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2\/3, -2\/25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -310*k**2 + 83*k?\nAnswer: -620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146407742333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1130085, 1130084, 1130083, 1130082, 1130081, 1130080?\nAnswer: 1130079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let z(x) = 14*x**2 + 2*x - 71. What is z(o(n))?\nAnswer: 14*n**4 + 2*n**2 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4))**(4\/29))**(1\/47) assuming p is positive.\nAnswer: p**(20\/1363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 greater than or equal to 207795\/2726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6863572 rounded to 2 decimal places?\nAnswer: -14.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-125944524)\/8)\/(-27))\/(4\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-87 - (-76 + 20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41241498 + -28002497. Suppose y = -4*o - 7866299. Let s = -26376325 - o. What is s rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1000032 + -3.1. Round v to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2084, -8347, -18788, -33407?\nAnswer: -52204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 1 h when three letters picked without replacement from wznah?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose -1 = -3*w + 5. Let s be (1\/w)\/(3\/18). Solve -s*t = -4*t - q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 9\/(-2)*(-60)\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 62. Suppose s - c + 7 = 0. Is 5 a factor of (30\/4)\/(2\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 3596648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*s + 1345, -4*s + 459 = -t - 1341. Let r = 1367\/3 - s. Is r less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/64 and (-108)\/(-288) - (-3)\/(-7).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 11:40 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 299, 3, -1.\nAnswer: -1, 3, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -226*c + 143*c + 908269. Calculate the highest common divisor of 31 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (15 - 7) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (104\/12)\/13 + 1 + 10252\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4559539*p**5 + 2*p - 8520549?\nAnswer: -91190780*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 3. Let j be r(-3). Suppose j = 5*b + 5*w - 1, 4*w + 17 = b. Factor 0*f + 21\/2*f**b + 3*f**2 + 0 + 33\/2*f**3 + 24*f**4.\nAnswer: 3*f**2*(f + 1)**2*(7*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d - 40 = 0. Let l be (1 + -5)*118\/d. Find the common denominator of l\/(-3) + 0 + 3 and -42\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*v - v. Let y = -5 + v. Suppose y*o - l - 154 = 2*l, -4*l - 67 = -o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 - 2.82. Let j = 3349 + -3353. Put 0.029, j, x in decreasing order.\nAnswer: 0.029, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 6*t**2 - t - 11. Let m be q(-6). Let o(d) = -2*d + 5. Let w(k) = -3*k + 6. What is m*w(r) + 6*o(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 76495467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7020, 14047, 21076, 28107, 35140, 42175?\n\"Answer: t**2 + 7024*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g - 50. Let s be z(7). Sort s, -9, -4, 0, 3 in decreasing order.\nAnswer: 3, 0, s, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 - 3*z - 6. Let a be r(-3). Let c(d) = -d + 2 - d**2 - 3 - d - 9*d**a + 3*d. Determine c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731 - 1978 = -43*f. Solve f*c = 67*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -23*x + 143. Solve 16*r = x*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**5\/40 + 6*r**3 + 10. Let h(w) be the third derivative of j(w). Let f(m) = 4*m + 2*m - 3*m - m. Determine f(h(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**9*f)**(-9)\/(f**(-4))**(14\/9))**26 assuming f is positive.\nAnswer: f**(-19604\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.80675 to one dp.\nAnswer: 53.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.22 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*b - 1, -b + 16 = 2*b + 2*a. Suppose j - 15 = -7*r + b*r, -2*r = j - 9. Let h = 902 - 907. What is the third smallest value in h, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**5)\/(v*v**1))\/(v*(v*v\/(v\/(v*(v**(-3)\/v)\/v*v)))\/v*v**(-1\/5)))**(-24) assuming v is positive.\nAnswer: v**(-744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133515 is divided by 110?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8607976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c + 4. Let s be z(0). Sort s, -2, -5 in descending order.\nAnswer: s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259 is divided by 564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 218549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/8 + 1509\/6. Find the common denominator of -7\/51 and 1 - ((-12)\/(-21) + 174\/f).\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 22. Let b be s(-17). Let p = b - 0. Solve -20 = -p*q, -5*i - 5*q + 3 + 17 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174 - -134) + (92 - 4).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + 16 = 0. Suppose 3*l = -u*a + 7*l + 8, 4*l + 4 = 3*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07469 - -0.0044. Is y greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*f - 76. Let h = -9 - f. Let j = h + -7. Which is the closest to 0? (a) 5 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 1. Let d be j(1). Let i = -177.6 - -178. Which is the third smallest value? (a) i (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23289327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 + 2*h - h + 64*h**3 - 8*h**2.\nAnswer: 64*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000578248751 to five decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2 - -18) + -9 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 3. Let k be z(-2). Let m be (-15)\/10*(-20)\/3. Let j = m - 9. Which is greater: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**5*c**1\/c*(c\/((c*(c*c**2)\/c)\/c))\/(c**(-4\/5)\/c) assuming c is positive.\nAnswer: c**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1176\/1323 - 4728\/5076.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -4*h - 0, -2*h - 4*z = 10. Factor 0*m + 4*m**3 - 2*m**h + 0*m**3 + 8*m**2 + 8*m.\nAnswer: 2*m*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*b**4 - 33863*b**3 + 9*b**2 - 1935*b + 1 wrt b?\nAnswer: -336*b - 203178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -317\/4 - -79. Put d, -7, 0.2, -0.4 in decreasing order.\nAnswer: 0.2, d, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:55 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 3, r: 9, n: 1, y: 1, u: 3}. Give prob of sequence ysr.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k**2 + 37245 - 37245. Let s(l) = 3*l**2 + 4*l - 2. Let y be s(-2). Let p(w) = -36 - y*w + 36. Calculate p(h(i)).\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501634.\nAnswer: 2, 7, 35831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {u: 2, r: 5, i: 3, m: 1, d: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.95. Let j = q + -0.05. Let g = -7 + 12. What is the second smallest value in j, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 28*t. Let y(s) = -23*s**2 - 4*s + 17. Let b(o) = 17*o**2 + 3*o - 17. Let r(w) = -4*b(w) - 3*y(w). What is r(g(i))?\nAnswer: 784*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-349143)\/((10 + -1)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 98*j**3\/15 - 114478*j**2\/15 + 566368*j\/3 - 5900928\/5 = 0.\nAnswer: 88\/7, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 12:39 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t - 1. Let a = 4 - 1. Let x(k) = -2*k**a + k**3 + 0 - 2*k**2 + 1 + 8*k**2. Let d be x(6). Determine h(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 6:19 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + k + 12, 6*v + k = 4*v + 13. Let t = 9 - v. Suppose 83*w - 5*w + 12*w = 0. Solve t = -i - w*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6451 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-42)\/32 - (-9 - -12) and 1 - ((-218)\/(-24) + -1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -4, 0, 7 in descending order.\nAnswer: 7, 1, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 95*w - 110. List the prime factors of v(9).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122156384 divided by 30832.\nAnswer: 3962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Let r(o) be the second derivative of 0*o**3 + 72*o - 14\/3*o**4 + 0 + 0*o**2. Determine k(r(t)).\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.25 greater than or equal to -63323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3613 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18007, -17135, -16263, -15391, -14519, -13647?\nAnswer: -12775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 5 + 2 + 2)*(13*k + 48*k - 98*k) to the form a*k + j*k**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1883 + -1886. What is the biggest value in -14\/15, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492280.\nAnswer: 2, 5, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1135\/35 - (-3)\/(-7). Let g(z) = -5*z**3 + 2*z**2 - z - 2. Let s be g(-2). Calculate the highest common divisor of x and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 84*k. Let y(w) = 2*w + 8144. Calculate y(i(q)).\nAnswer: 168*q + 8144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzj when three letters picked without replacement from vzjjjxqxqj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {z: 12, t: 1, s: 7}?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:52 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2934302851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32645 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: Simplify (sqrt(117) + 2)**2 + -3 + (sqrt(104) + (-2*sqrt(104) - sqrt(104)))\/sqrt(8) + ((0 + sqrt(13))*-1 - sqrt(13)).\nAnswer: 8*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/120 - 73*p**5\/60 - 57*p**4 - 216*p**3 - 437*p**2. Factor o(y).\nAnswer: -(y + 1)*(y + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*j = 55*j + 14826. Suppose 92*a + j = 98*a. List the prime factors of a.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3908 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 12:30 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(-5 + 1 + 2) + 1 - 2 + 0 + 0 + 0 + 2)*(37*x - 72*x - 108*x) to the form q + i*x and give i.\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/12912 and 7\/1488?\nAnswer: 400272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 5*d**2\/2 - 1. Let h be 2 + (0 - 4) - -2. Let t(a) = h*a + 3*a - a + 0*a. Calculate k(t(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*5\/2*24\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 542 + 136*b + 533 - 1081 + (2*b - 2*b + b)*(5 - 2 - 4).\nAnswer: 135*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2. Let k(c) = 7*c + 15. Let x(o) = k(o) - 5*p(o). Give x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67523010*v + 57747804 wrt v.\nAnswer: -67523010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 9 - 8*w**2 - 21 + 11 - 7*w. Let y(m) = -2*m - 7. Let a be y(0). Determine q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**2*j**4 - 19*h**2*j**3 + 98*h**2 - 2*h*j**4 + 3*h*j**2 wrt j.\nAnswer: 96*h**2*j - 114*h**2 - 48*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*a**2 + 61*a**2 - 119*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -25*h**4 + 23*h. Let y(d) = 17*d**4 - 15*d. Let p(x) = 5*i(x) + 8*y(x). What is the second derivative of p(n) wrt n?\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 330\/85 - (-2)\/17. List the prime factors of 1\/(4\/(m + 432)).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 - -181. Suppose -38 = -l*i - 2*f, 0 = -i + 5*f - 4*f + 11. Solve -2*z + 6*s = s + 10, i = -4*z + 5*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5247, 2469, -309, -3087, -5865, -8643?\nAnswer: -11421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from qswqqqsssssxs.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*r + 26*r + 72. Solve 5*p = -3*h + 5, -25 = h - p - r*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 66, 167, 328, 561, 878?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -41. Let v = f - -8. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.526 times 6\nAnswer: -339.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*w + 30*w - 860 = 80*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.226159 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 + 6056*j + 12096 = 0. Calculate j.\nAnswer: -54, -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0549582 - 277.7939582. Let i = -279.5 - p. What is i rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 - 3*u**2 + 2 + 40*u**2 + 4*u. Let d be v(-3). Suppose 0 = 5*y + 4*f - d, -y - 4*f + 0*f + 36 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1056.5 (b) -3\/5 (c) -0.2 (d) 2\/9 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 16. Let m = -1455.8 - -1458.8. What is the closest to 0 in i, m, 0.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*((2 + 5 - 3)*(-10*d - d - 4*d) + d - d - 2*d) to z*d + j and give z.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406790 and 19851352?\nAnswer: 99256760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, 106537, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20687 is divided by 6895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -59 in decreasing order.\nAnswer: 13, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*s**5 + 5*s + 2*s + 3*s**5 wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-176)*4\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 774595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 40 = -m. Suppose 0 = m*s - q - 4024 - 175, -q = 4*s - 4193. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(448) + -2.\nAnswer: -6 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.512852 centuries?\nAnswer: 651.2852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.016 times 2.56\nAnswer: -0.04096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387579?\nAnswer: 3, 129193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5191, 5188, 5185, 5182?\nAnswer: 5179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640078766.\nAnswer: 2, 3, 911, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61501016*q + 27770874.\nAnswer: -61501016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/3? (a) -5 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8842\/561 - -270\/17. Suppose -6*m - 3*m = 0. Is y at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 97500*b**2. Suppose -10 = 4*g - 2. Let o be s(g). What is o rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -59, 2, 0, -13.\nAnswer: -59, -13, -8, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002985424127 rounded to 7 dps?\nAnswer: -0.0000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (12 - 14 - 9)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 101, 202, 301, 398?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 355976415.73290600779144 - -83.26711769220856. Let z = -355976359 + b. Let a = z + -140. What is a rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91634 by -91634.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, 0.1, 4.5, 33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 9.7. Let h = -5 + z. Which is the nearest to -0.1? (a) -0.3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/2 - (-67)\/(2345\/350)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1214326462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = 25. List the prime factors of (-90)\/25*w\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 372\/41?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (149\/(212772\/(-252)))\/(-3)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 330?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 406, 4, -3 in increasing order.\nAnswer: -3, 4, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-3)\/(-3)*4 - -233 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73\/28 + -27\/7. Suppose -145 = 155*f + 165. What is the fourth biggest value in -4\/7, w, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 3*a - 8. Let w be (-1 - 0)*(-1 + 6). What is g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/24 and 149\/1032.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.328 + 3437.\nAnswer: 3437.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - -0.1. Let q = -0.1199999 + j. Round q to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -0.26, -319?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/22*(0 + (2 - 0)). Let a = 0.6 - 0.5. What is the closest to a in 2, 4, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 10 = a, 0 = -2*z + z - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from joooojoj?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-6)*(-6)\/(-4). Solve -5*w - 3*q + s*q = -37, 0 = -3*q - 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*m - 107*m - 107*m - 97*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8477 + -8484. What is the closest to 0.1 in 1, 64, v, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Let o = -4.5 + 4.5. What is the nearest to 2\/3 in c, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -80*p + 159. Is z(-18) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*f**4 + 5756*f**2 + 1169227 wrt f.\nAnswer: -108*f**3 + 11512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/11, -54 in descending order.\nAnswer: 2\/11, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 10:32 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q. Let g(a) = 6*a**3 + 4*a**2 - a + 1471. Let d(x) = -5*x**3 - 3*x**2 + x - 1473. Let n(p) = -5*d(p) - 4*g(p). Is n(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1512, -0.64, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + 7*d + 5. Let s(t) = 2*t**2 - 15*t - 3. What is the remainder when s(11) is divided by g(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.3 + -20. Let h = 0.7 + y. Let j = 0.17 - 1.17. Which is the smallest value? (a) h (b) j (c) -3 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbfdivfbbbfhb. Give prob of picking 1 h and 1 v.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 235 - 469 = 0. Calculate the highest common factor of h and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11862*a**2 + 151*a - 10?\nAnswer: 23724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 92*a + 4495. Let g be r(86). Calculate the highest common factor of g and 519.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88)*-2)\/(sqrt(8) - (sqrt(8) - 3*sqrt(8))*-3).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 7. Let k be n(-8). What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:17 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 11 + 27 = 0. Which is the closest to 1? (a) g (b) 0.5 (c) 0.009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1792 = -15*m + 31*m. Suppose 0 = -6*f - f + m. Calculate the highest common factor of 152 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -25 + 22 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 + 15*q**2 + (3 + 2 - 3)*(-3*q**2 - q**2 + 5*q**2) in the form v*q + u*q**2 + c and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*h**3 + 178*h**3 - 344*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.00000028 + 71. What is t rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((1 + sqrt(75))*-3 + (sqrt(75) + 3 + (sqrt(75) - 2*sqrt(75)) - sqrt(75)))*5)**2.\nAnswer: 30002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -5. Let z(m) = -m**3 - 8*m**2 + m + 8. Let i be z(o). Suppose 5*f - 7*u + 2*u = 385, 2*u = i. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0863+-0.04\nAnswer: 0.0463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 + 87786*f**3 - 124118184*f**2 + 42739893216*f + 85976961408 = 0. Calculate f.\nAnswer: -30628, -2, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k. Let s(j) = 30*j - 31. What is l(s(q))?\nAnswer: 150*q - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114190 is divided by 741.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:37 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 - 15*p - 7. Let t be g(5). Suppose -5*h = -5*a + 1050, -2*a + 3*h + 223 + t = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5 = m, -20*m + 22*m + 3 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liililllikllilliiki. What is prob of picking 2 k and 2 i?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let m(x) = 7208*x. What is m(r(q))?\nAnswer: -14416*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/6)\/(7\/70). Which is the third smallest value? (a) -4 (b) d (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, -10, 65 in descending order.\nAnswer: 65, 16, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-24)\/36)\/(4\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -363 - -363. Let m(d) = d**2 - 4*d + 551. Is m(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, -3, 1\/99, -0.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -282 (base 13) to base 11\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189*w**4 - 37*w**3 - w**2 + 567886*w wrt w?\nAnswer: -2268*w**2 - 222*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5750 and 690?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289002 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -33\/8?\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 - 28\/3*v**4 - 21\/10*v**5 + 0*v**2 + 0*v**7 - 47*v - 1\/56*v**8 + 0*v**6 + 0*v**3. Find the third derivative of y(t) wrt t.\nAnswer: -120*t**3 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2.54348\nAnswer: 7.54348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-45)\/(-15))\/(6\/56). Suppose 70 = 5*p - 5*b + 3*b, 2*p = 2*b + h. What is the remainder when 39 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 275. Suppose x = 2*d + 3*c, 2*d = -0*d - c + 61. What is the smallest common multiple of 20 and d?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 38 + 50 = 0. Suppose 5*r + c + c = -26, -5*r + 3*c - d = 0. Put 2, 3, r, 4 in descending order.\nAnswer: 4, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 4, -1, -0.3, -7, 0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7\/p**(1\/2))\/((p\/p**6)\/p*p*p**(-7)))\/(p**(-2)\/p*p**(-1\/4)*p*p\/p**3*p*p**(-3)) assuming p is positive.\nAnswer: p**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 243.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-285)\/9 + 2\/(-6). Let y be (1020\/(-10))\/((-15)\/40*-4). Let l = k - y. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17764 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.9112 + -17280546067\nAnswer: -17280546067.9112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10387 = -31*b - 10263. Suppose 4*d = 2*x - 19 - 11, d + 2*x = 0. Is b at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/5 + 194*h\/5 - 196\/5 = 0. Calculate h.\nAnswer: -98, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 216*i**3 + 9*i**2 - 14*i. What are the prime factors of l(4)?\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -809018, -808865, -808716, -808571, -808430?\n\"Answer: -2*o**2 + 159*o - 809175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*w = 7, -6*r + 4*r + 39 = -5*w. Suppose -3*d = d - 440. Suppose -2*g - 4*y + d = 0, 2*g + y - 142 = -r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3325 - -3325. Solve 10*g - 252 + 292 = p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 21278 = i, -30*i = -2*g - 35*i + 14157. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-5))\/((-848)\/80 + 7). Put 2, 17, z, 1 in decreasing order.\nAnswer: 17, 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6545, -9066, -11587, -14108?\nAnswer: -16629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(324)\/(-2*sqrt(12)))\/(4*5*sqrt(225)).\nAnswer: sqrt(3)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, -6, -1, 1, -42, -1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125321?\nAnswer: 3, 23, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -1. Let j = -16 + 31\/2. Let h be (4\/10)\/((-1001)\/105 - -9). Sort h, j, d in decreasing order.\nAnswer: d, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:08 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 38 - 34 - 272*v**2 + 2*v + 109 in the form n*v + q*v**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4780 = -3*x + 11963. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11397 + 22842. Let s = n - 11508.77. Round s to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 1562.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061085 = -330*o + 345*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-12*m + 24*m - 11*m) - 57 + 32 + 31*m + 27 + (0*m - 2*m + 0*m)*(-3 + 2 + 0) to the form j*m + q and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mymymmmy. What is prob of sequence ymm?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 413 + -382. Suppose -l*t + 120 = -25*t. Let z(f) = -f**3 + 5*f**2 - f + 7. Let u be z(5). Solve -u*m = -6*m - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 11:03 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*(n**(1\/14)\/n*n)\/n)\/(n**(-2\/7)\/n**3))\/((n\/(n*n**(-5)*n))\/(n**(-1\/2)\/n)*n**(-2)\/n*(n*n**2\/n)\/n) assuming n is positive.\nAnswer: n**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1715 - 70*r - 1716 - 134*r in the form b + i*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**6\/40 + 39*f**5\/10 + 437*f**4\/8 + 180*f**3 + 8927*f**2. Factor x(l).\nAnswer: 3*(l + 1)*(l + 5)*(l + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576\/(-160)*(-10)\/42?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 949?\nAnswer: 949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120.5 - -120. Suppose -7*m = -2*m - 40. Let w be (2\/14)\/(4\/m). What is the second smallest value in w, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = -3. Let o(d) = -d**2 + 1. What is o(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/7)\/(14696\/(-770) - -19). What is the closest to -6 in 0, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 44. Let x(w) = w**3 - 3*w**2 + 2*w - 3. Let f be x(3). Let d be -7*1*(15 + (-968)\/56). Solve 0 = 4*u + q*l + d, -u = f*l - 2*l + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 - q**2)*(2 - 2 - 2)*(-7 - 6 + 4).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:27 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7382252 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -756838.44 rounded to the nearest 1000?\nAnswer: -757000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 278237191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-421290)*-135965 - 3. Let n be 1 + (1 - 9374\/4681). Let v = p - n. What is the common denominator of v and -27\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 12, 73 = -4*o - 5*f. Let k be (-3)\/6 + (-1)\/o. Let w(p) = 2*p**2 - 37*p - 423. Let d be w(-8). Is k bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1119825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -35360 and -2793516\/79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8. What is the third derivative of 32*f**2 + 4*f**6 + p*f**6 - 7*f**2 + 5*f**2 wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -0.2 (b) -247630 (c) 1 (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w)\/w**(-4))**35 assuming w is positive.\nAnswer: w**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s + 2*s)*(-58*s + 58*s - 3*s**3)*(3*s - s - 4*s + 3).\nAnswer: -12*s**5 + 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-378)\/(-48) - -1*(-2)\/(-16). Calculate the highest common divisor of 44 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:52 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 m when three letters picked without replacement from mtccmtmctcctc?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - s**3 + 6)*((3 - 1 - 1)*(0 + 0 - 2*s) + 0 - 2*s + 0).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1162, -1265, -1438, -1681, -1994, -2377, -2830?\n\"Answer: -35*w**2 + 2*w - 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and -4466.\nAnswer: 1205.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -484*j**4 - 5379*j**2 - 2*j - 6930021 wrt j.\nAnswer: -1936*j**3 - 10758*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 31 = 8*i + 13*g, -3*i = -4*g - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t + 756 = 97*t - 30*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -10157 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234\/18133 - -195204319\/199463. Let t = h - 976. What is the common denominator of 31 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9*(-13)\/20 + (0 - 3) and -51\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.052, 41, 0.1 in descending order.\nAnswer: 41, 0.1, -0.052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 3*m**2 - m. Let f = 960 - 961. Calculate p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + (8 - 42) - 23\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (265\/(-90) - -3)\/((-30)\/90)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -0.1230767015502?\nAnswer: -9.1230767015502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a micrometer in nanometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2))**2*4 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(4 + (-10)\/(-2)). Solve n + 2*n = u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g - 3. Let w(l) = 28*l**2 - 3*l - 3. Calculate -w(s) + 2*y(s).\nAnswer: -26*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. Let k be 4\/(-6) - (-28)\/u. Sort k, -4, 2 in decreasing order.\nAnswer: k, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 0*k**2 - k**2)*(-1 - 5 + 2 + (0 - 2 + 0)*(-1 + 3 + 0)) to the form p + c*k**2 + h*k and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 6:23 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(108) + sqrt(3).\nAnswer: 1 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3000613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-9)\/(-15) + -8. Let t(k) = k**3 + 12*k**2 + 5*k - 19. Give t(v).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4\/18 - 8*l**3\/27 + 4*l**2\/9 + 42. Solve u(d) = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 11. Let i = 16 + 5. What is the remainder when b(-7) is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 405\/8050 - (-293)\/(-13478)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002983429825 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953 = 47*m - 124*m + 202 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -42*x + 45*x + 18, -5*x = -4*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (sqrt(2448) - (1 + sqrt(2448) - sqrt(2448))).\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 89*u**3 + 4*u**2 + 542*u - 542*u in the form y*u + i + b*u**2 + q*u**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 334 - 852 = -386 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 977 - -41341010670\nAnswer: 41341011647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 73.5.\nAnswer: -0.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52236229 is divided by 885.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5)\/l)**8*l**(-5)\/(l*l*l*l**(-5)*l))**(-1\/72) assuming l is positive.\nAnswer: l**(13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-4\/13)\/(d**2)**(2\/129)*(d*d*d**(-1\/3))\/d*d*d*d\/(d\/(d\/(d\/d**(-2\/15))))*(d**(1\/3))**(8\/7) assuming d is positive.\nAnswer: d**(205354\/58695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1810, -3602, -5376, -7132, -8870, -10590?\nAnswer: -12292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 28 = -0*k, x = -2*k - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1b678 (base 15) to base 8\nAnswer: 256175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*o + 35. Suppose -2*g + 7*g = -4*j + o, 0 = 3*g - j - 1. Let k = 1\/4 - 13\/20. Is k at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*g - 7809*m + 7828*m - 191 = 0, -g - 20*m = -175 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 11*m - 15. Let d be z(-8). Suppose 5*u = d*u. Let h be (-4)\/(-2 + -3*1). Sort 2, h, u in decreasing order.\nAnswer: 2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2. Let s(l) = l**3 + 8*l**2 + 23*l + 15. Let j(n) = q(n) - s(n). Let m be j(-5). Solve m = 5*u + 27 - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/15)\/7 - 2\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.381 + -130.619. Let j = 1492 - 1639.6. Let s = h - j. Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:27 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 103 + 232. Suppose -2*k = -7*k + 25, 0 = 4*s - k - p. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 14475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 7. Let h(p) = -2*p. Let s be h(-1). Let m(y) = -y - 2*y + 0 + 3 - y. Let o be m(s). Give t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195426 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1100651 + -1555?\nAnswer: -1102536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 15*z**2 + 5*z**2 + 7*z**2 to t*z**2 + b + y*z and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33344, 133405, 300160, 533597, 833704, 1200469?\nAnswer: 1633880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496917356.\nAnswer: 2, 13, 71, 134593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-238)\/(-6) - 1\/(-3). List the prime factors of (x\/(-7))\/((-6)\/21).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4665 is divided by 359?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 5. Let h(v) = -4*v - 12. Let f(x) = 2*h(x) - 5*m(x). Suppose c = -5*c - 18. Let w(k) = -1. Determine c*w(i) - f(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(980) + sqrt(20) + (sqrt(70)\/sqrt(2))\/sqrt(7)*5)**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -4 (c) -5 (d) 286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, 538, -3, -4, -5 in descending order.\nAnswer: 538, 181, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 3 (c) 0.11 (d) -710351\/3 (e) 2 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 137.1. Which is the nearest to i? (a) -1 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3273 - 3272. Which is the nearest to 2\/7? (a) -2 (b) -0.0736 (c) v (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 368\/161 + (-4)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -4, -1\/4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66990 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 260*d**2 + 2*d + 1. Suppose -9 - 11 = -5*g. Suppose 2*o = 3*s - 14, -3*o - o + g*s - 20 = 0. Is x(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15311 and 35197?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/3)\/o)\/(o*(o**(-7)*o*o)\/o))\/(o**0)**(-1\/24)*(o**3*o)\/o**(1\/4)*(o**(1\/3))**(-8\/5) assuming o is positive.\nAnswer: o**(353\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -64 (b) 2\/23 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (87\/6)\/(4\/8). Suppose -d*u = -35*u + 24. Solve -s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 31*g**5 + 2*g**4 - 32*g**5 + 0*g**3 + g**3 - 5*g**2 + 32 - 33*g**2 + 4*g**4 = 0?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 17. Let r = 13 - s. Suppose z - 28 = -0*g + 4*g, 24 = z - r*g. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*u**2\/5 - 42144*u\/5 + 3468978\/5.\nAnswer: 2*(8*u - 1317)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(108)*2*-4 - (-5 + sqrt(3) + 2 + sqrt(243) + (sqrt(243) - 6*sqrt(243)) + sqrt(3))**2.\nAnswer: -3477 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1591, -3141, -4679, -6199, -7695?\n\"Answer: m**3 - 1557*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5342473 (base 8) to base 6.\nAnswer: -50325151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 15*b - 27*b)*(-1 + 1 - b)*(-46 - 51 + 15).\nAnswer: -3608*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5766*m - 2573*m = -4342*m - 126916 - 272439 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2780*p - 169776. Determine t(-61).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16720251 to the power of 1\/2, to the nearest integer?\nAnswer: 4089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l. Let q(t) = -25*t + 17. Let y(f) be the second derivative of f**3\/2 - f**2 - 3*f. Let a(i) = 6*q(i) + 51*y(i). Give a(w(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-4)\/((-24)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16811 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 k(m) be the second derivative of -m**5\/20 + 13*m**4\/12 + 2*m**2 - 25*m. Let n be k(13). Sort n, 0, 2, 11.\nAnswer: 0, 2, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 u when four letters picked without replacement from mhumummmks.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 10 + 11 + -24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((17 - 28) + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -135, -158, -201, -270, -371, -510, -693?\n\"Answer: -d**3 - d**2 + d - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2*b + 3)*(-32*b**2 - b + 1 + 31*b**2 + 0*b).\nAnswer: -2*b**3 + 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i**2\/11 + 17574*i\/11 + 5020\/11 = 0.\nAnswer: -1255, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(sqrt(588) - (-2*sqrt(588) + -2) - sqrt(588)))**2.\nAnswer: 5712*sqrt(3) + 84961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-4 + 4 + 7*p)*(-5 + 1 + 2)*(-3 - 2 + 4).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.6300616 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 5426*i + 1163*i.\nAnswer: 6594*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 - -2020?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1200 = -9*f. Is f bigger than -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12922 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -16*x - 33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.1 + 29.6. Let f = -0.9 + 1. Put f, 0, s in decreasing order.\nAnswer: s, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064 times -70.052?\nAnswer: -4.483328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 - 5*i + 4. Let c be v(1). Let m(b) be the second derivative of b**5\/20 - b**4\/3 + 4*b**3\/3 - 3*b**2 + 2*b. Is m(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -14. Suppose w = 4*p - 6, -2*w = -0*w - p - 2. Let n be w\/3 + (-4)\/6. Is n bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286fcc (base 16) in base 15?\nAnswer: -37530a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 47*c = -50*c - 12, -4*h - 5*c - 37 = 0. Sort -4, h, -215 in descending order.\nAnswer: h, -4, -215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116363503?\nAnswer: 191, 609233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -44811865.\nAnswer: 2\/44811865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 30 = -4*q. Let i be -2 - -2 - (-139 - -4). What is the highest common divisor of i and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 0.613, 4, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 2012.\nAnswer: -28\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybbb when four letters picked without replacement from {y: 1, x: 5, b: 11}.\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 44*x + 26. Let a(l) = 9*l + 5. Let d = -787 - -803. What is d*a(o) - 3*i(o)?\nAnswer: 12*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/12 - -3) + 19\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + 0.124.\nAnswer: 85.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33793632 and 61954992?\nAnswer: 371729952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 10*x**3 - 3*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -301552 (base 8) in base 15?\nAnswer: -1e5bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48844.1091 rounded to the nearest ten?\nAnswer: -48840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 31*z**2 + 74*z + 105. Is s(32) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 16. Let l = h - -36. Suppose l*v = 5 + 1. Solve -v*n + 6 = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 f when three letters picked without replacement from {n: 4, x: 2, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -604567174?\nAnswer: 604567162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1800*i - 1697. What is the units digit of m(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 17211*x**2 - 103230*x + 3. What is z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 300.1\nAnswer: 300.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*f + 0*f - 127 = 0, 2*f + 328 = 5*u. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311327 (base 8) in base 9?\nAnswer: 166415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-10))\/((-756)\/(-560)))\/(6\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {l: 1, e: 1, n: 5, i: 3, f: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*w**2 + 71*w**4 - 71*w**4 + 8*w**6 wrt w?\nAnswer: 960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -25\/2, -9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267267 and 6678?\nAnswer: 84990906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2932 + -2011. Let s = 920.999621 - t. Round s to five dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 4*r - 3*r**4 + 3*r**2 + (0*r**3 - 4*r**3 + 3*r**3)*(3*r + 0*r - r).\nAnswer: -5*r**4 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253749 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**3 + 0*g**4 + 2*g**2 - g**3 - 2*g**4)*(-8 + 2 - 10)*(17 - 6 + 10) to p*g**3 + d*g**2 + v*g**4 + f + u*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18833187994 and 22.\nAnswer: 18833188016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + 25 = 0, -5*j + 20 = c. Find the second derivative of -4*v - 3*v + 7*v**j + 2*v wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229.576 - 231. Let l = -0.044 - m. Let r = l - 1.58. Round r to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 0) + (-7280)\/(-224)*(-6)\/(-15). Which is the fourth smallest value? (a) -7 (b) v (c) -2 (d) 0.4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/2 greater than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977 divided by 14?\nAnswer: 1977\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {q: 2, d: 2, t: 2, w: 2, s: 1, z: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-266)\/(-11) + (-14)\/77. Is 24 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 84 - 85)*(-2*p**4 - 2 + 2) to the form o + n*p**2 + r*p + f*p**4 + m*p**3 and give f.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6)\/(2\/(-8)). Suppose g*t + 3*x = 4*t - 3, -3*x + 3 = 0. Solve s = t*s - 5*b + 17, 3*b = 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24822 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 808 - 475. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*m**2 + 2*m - 8*m + 6*m as x + c*m**2 + i*m and give c.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 19, -3 in decreasing order.\nAnswer: 19, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 789564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 8. Let i = -1891\/4 - -475. Let r = -5\/2 + i. Put q, r, -0.1 in increasing order.\nAnswer: q, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219906 + -56971. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/(m**(7\/2)*m))\/(m**(2\/17)\/m**(-9)) assuming m is positive.\nAnswer: m**(-157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227 times 0.5?\nAnswer: -613.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 2*x**2 - x - 3. Let d be v(3). Suppose -136 = n - d*n. What is the tens digit of n - (-4 + (3 - 2) + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - 8*f**4 + 3*f**4 + (2*f**4 + 0*f**2 + 0*f**2)*(3 - 3 - 3).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.3 (c) -22.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -843 - -847.209. Let y = 3.97 - o. What is y rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*l - 5*k + 3*k, -4*k - 51 = 5*l. Let m be l\/(-7) + (0 - -79). Suppose 4*p + p = m. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30903.8*-0.5.\nAnswer: 15451.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (615 + 341 - 24431 - 2013)*(5*a + 0*a - 3*a) as l*a + k and give l.\nAnswer: -50976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) + 16\/5. Put 2, s, -2 in ascending order.\nAnswer: -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 280. What is the tens digit of o\/21 + (-2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175850 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -39016*z + 73554*z - 38396*z as q*z + v and give q.\nAnswer: -3858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -34*c + 1. Suppose 6 = -4*l + 22. Suppose 0 = l*m - 2 + 6. Does 14 divide h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + 2 + sqrt(5)) + sqrt(5)*2 + 5 - ((sqrt(45)*2 - sqrt(5)) + (sqrt(5) - (sqrt(605) + -1 + sqrt(605) + sqrt(605))) + -3))**2.\nAnswer: 150*sqrt(5) + 3134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*o - 96 = 0, 38 + 49 = 3*r + o. Calculate the greatest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1015988\/84 - -4) + (-870)\/(-126) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3474*x - 5516*x + 919*x + 1165*x)*(0 + 0 + 1 - 1 + 0 + 2 + (0 + 2 + 0)*(1 - 4 + 1)).\nAnswer: 13812*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(833) + 1 + 1 - sqrt(833) - sqrt(833)) + sqrt(833) - (-4 + 1 + sqrt(833))) + -5 + 5*((sqrt(833) - (sqrt(833) + -2*sqrt(833))) + 5))**2.\nAnswer: 3150*sqrt(17) + 68103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**5\/120 + 7*n**4\/24 + 2*n**3 + 2. Let o(y) be the third derivative of w(y). Let i be o(-6). Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531565215 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)*-5 + 6*2*sqrt(119))\/(1*sqrt(28)*6 - -6*sqrt(448)))**2.\nAnswer: 17\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.6642l to millilitres.\nAnswer: 70664.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 19 + (20 - (-12 - -18) - 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*20\/(-15) + 2. Suppose -3*a - m = -2*j - 0*a, -14 = -2*j + 5*a. Solve -u = -2*x - 2*x + 11, -u - j*x = -1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g**5 - 60*g**4 - 26*g**3 + 40*g**2 - 8*g = 0 for g.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**12)\/(g*g**(1\/5)))**(1\/38))**27 assuming g is positive.\nAnswer: g**(1593\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 25*p - 125. Let k be d(15). Suppose -3*u + u = -46. Let l = k - u. Solve -5*o = 5*t - 25, l*o = 3*o - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b. Let i = -235 + 1409\/6. Which is greater: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 - 51*h**2 - 27*h**2 to y*h + x*h**2 + k and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u - 141 = 36. Solve 2*m = -u*w + 12, -2*m - 2 = -8*w + 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 10:35 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + b = -11, 4*h + 3 = 5*b + 36 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -511225, -1019133, -1527039, -2034943, -2542845?\n\"Answer: h**2 - 507911*h - 3315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a. Let c be (-3 + 2 - 0) + 0. Let i be y(c). Suppose -3*f + i*f = -18. Does 7 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 442 + (1 - 3). Suppose -4*o + 2*j + m = -0*j, 4*o = j + 441. Calculate the greatest common factor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from rrooor?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u + 54 = -36*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*s - 43, -4*s + 54 = -2*g - 36. Let r = 12 + 10. What is the smallest common multiple of r and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80858857 or 80858837?\nAnswer: 80858857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2\/5, -0.9, 1\/3, 6, 20.\nAnswer: -0.9, -2\/5, -1\/7, 1\/3, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 + 136*m**2 + 260*m + 128 = 0.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -10, -9293, -2 in descending order.\nAnswer: 59, -2, -10, -9293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -u + 3*z, 0 = -u + 13134*z - 13129*z - 37 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - -200. Solve -i*h + 3 = -16*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-3 - -6)) + 10 + 5 + -12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 108*k**2 + 32*k - 37. What is the thousands digit of h(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24241122 (base 6) in base 9?\nAnswer: 1388725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhyhhyyyhy. Give prob of sequence hy.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 18004*w. Let x(p) = 19102*p. Give x(f(g)).\nAnswer: 343912408*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -228 + 1557?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 170\/23159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 divided by 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:48 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.273 and 1?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140967679929.4 - -0.01.\nAnswer: -140967679929.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}