diff --git "a/data/dm_maths/full_data/4282_11255.jsonl" "b/data/dm_maths/full_data/4282_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/4282_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round 10476.5 to the nearest one hundred.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6)\/(((-180)\/(-12))\/(-45)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 + 8*h. Let r(y) = 3*y**2 - 5*y. Let x(z) = 5*l(z) + 8*r(z). Let q(i) = -2*i - 15. Calculate x(q(o)).\nAnswer: -4*o**2 - 60*o - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.9 in 0, -1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 3*t**2 + 2*t - 1. Suppose -3*b + 3*f = -18, 5*f - f = 2*b - 18. Let v be y(b). Solve -3*s - v = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u\/u**(-3\/7)*u*u*u))\/u)\/u**1)\/(u**(-1\/3)*u**(4\/3)) assuming u is positive.\nAnswer: u**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**4\/12 + 125*z**2 - 9*z + 2. Let x(l) = -23*l**2 - 12*l - 6. Give s(x(j)).\nAnswer: -46*j**2 - 24*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-17)*k**13*((k*k\/(k\/k**(1\/7))*k)\/k)**29 assuming k is positive.\nAnswer: k**(449\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r. Suppose -1708 = 4*b - 5*n, -4*n + 6*n - 1274 = 3*b. Let q = -61 - b. Let z(s) = -q*s + 361*s + 3*s**2. Calculate z(p(a)).\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014875717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:30 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 241, 498, 779, 1096, 1461, 1886, 2383?\n\"Answer: 2*o**3 + 243*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 3:45 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.5 and 72144265317.\nAnswer: 72144265326.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 130 = 5*q, -11 = -q + 5*g + 15. Let d = 86 - q. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 10*n. Let j be l(-5). Suppose 16*w + 584 - 5448 = j. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let y(m) be the first derivative of 1\/2*m**2 - 2 + 0*m. What is p(y(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.6 - -31.2. Which is the nearest to 1? (a) -18\/11 (b) r (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x, 0 = -3*v + 5*x - 0*x + 30. Let q(y) be the first derivative of 529*y**2\/2 - 5*y - 26. Let r be q(v). Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-80)\/12*3*1\/(-5)*1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 1, g: 2}. Give prob of picking 1 i and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 203\/3 (c) 0.4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1488117 rounded to two decimal places?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 34, 63, 102?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699.8 - -700. What is the third smallest value in -2\/43, 6, g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = 0, -4*q - 4 = -4*k. Let n be 2 - (-2 + 1 + k). Suppose 6 = n*y - 10. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzzzaaazzuazaz. What is prob of sequence zauz?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 - 3*z - 8. Suppose -4*l = -13 + 37. Is w(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/4*1*2. Suppose -u - 13 = 4*d. Let v be (-15)\/d + (-3)\/6. Sort v, 0.5, 2\/11 in decreasing order.\nAnswer: v, 0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213906571 - 213906571 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713030391 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87776, 176322, 264858, 353378, 441876?\n\"Answer: -t**3 + t**2 + 88550*t - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t*u**3 + 94*t*u**2*x**3 + 12*u**3*x**3 - 9*u**3*x**2 wrt t?\nAnswer: u**3 + 94*u**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-11 - (-4 + -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15*w - 1. Calculate n(-5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*n - 1)*(-3*n - 2*n**3 + 3*n) + 9*n**2 - 14*n**4 - 9*n**2)*(5*n - n + 2*n)*(2 - 6 + 2).\nAnswer: 120*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002022212020 (base 3) in base 10?\nAnswer: -1108707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1161257999 - 120768515135\/104. Let z = r + -22277. What is the common denominator of -43\/16 and z?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5)\/(l\/(l*l**(-1\/6)*l)))\/(l\/l**2*l\/l**6) assuming l is positive.\nAnswer: l**(223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvrzzpzr. What is prob of picking 2 z and 1 v?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4 = -4*u, h = -3*u + 6 - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 1) + (-3)\/(-3)*1. Let q = 1284 - 1283. Sort q, 0, 5, x in descending order.\nAnswer: 5, q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 14 = 4*k, 4*r = -522*k + 518*k + 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3. Let p = -22 - -8. Let v be 2\/p + 5\/7. Put v, -2, z in increasing order.\nAnswer: -2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 6*g - 2. Let t be c(5). Let d = -1028 + 1036. Sort -4, t, -2, d.\nAnswer: -4, -2, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.1. Let y = 0.8 - w. Let g = 10734 - 10738. Which is the biggest value? (a) 2 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1252511\/96 + -13047. Calculate the common denominator of i and 13\/464.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y - 1. Let d(z) = 12*z + 2. Let q(l) = -4*l + 4. Let s be q(3). Let n(p) = s*r(p) - 5*d(p). What is the tens digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2374 divided by -21\nAnswer: -2374\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 = -12. Sort n, 5, 1 in decreasing order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 2325.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15239 = -2*n, 2*n - 6*n + 30408 = -4*d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43043 + 568?\nAnswer: -42475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 235.9140172 to 2 decimal places.\nAnswer: 235.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 5*g + 66. Suppose -r + 12 = 2*r. What is the lowest common multiple of r and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 2*a**4 - 7*a**4 + (0*a**2 + 2*a**2 + 0*a**2)*(-2*a**2 + a - 4*a + 0*a**2).\nAnswer: -10*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -14.7. Let t(i) = -i**2 + 3*i + 7. Let s be t(5). Let y be s\/10*(-55)\/33. Put y, -2\/11, p, -4 in decreasing order.\nAnswer: y, p, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18 - -2 - 3)\/22 and 1\/(-6)*(-498)\/(-14)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 108660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 894.74 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*o + 91. Let w be (-4)\/o + (-4)\/5. Let x be 3 + (-1 - (-2)\/w). Sort -5, x, -4 in descending order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = b + 41 + 49, 2*i + 336 = -4*b. Let d = 62 + b. Let v = 94 + d. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + 37. Let b = -134 - -61. Let g = b + z. Put -4, g, -0.5, -3\/4 in decreasing order.\nAnswer: g, -0.5, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 76 = -5*v, 3*v - 3*i - 51 = 0. Let b(n) = 41*n - v*n - 10*n - 16*n + 8. Calculate b(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38789231 is divided by 119?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1289295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01049 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2690 or -2723?\nAnswer: -2723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 1.3. Let r = 4.2 + 0.8. Which is the biggest value? (a) u (b) r (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14*(t**(-5)*t*t)\/t*t*t\/(t*t**15)*t*t**(-8) assuming t is positive.\nAnswer: t**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 203640000 to the nearest 1000000.\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-348101)\/(-130)*10 - (2 + (-1 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*m + 237004, 2*m + 5*o - 158005 = -0*m. What is m rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 0)*(-5)\/(-15). Suppose 12 + 0 = b*n. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.31 - -13.372108. Let o = 56 - 56.062. Let a = w + o. What is a rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.049, 23440, 4?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 + 3*y - 4. Suppose -9 = 6*q - 9*q. Let t be u(q). Suppose -4*f + r + 262 = 0, -t*r + 0*r = 5*f - 340. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 8*u**2 + 11*u**2 + 0*u**2 - 3 + u + 2. Let t(h) = 2*h**3 - 6*h**2 + 4*h - 7. Determine 4*i(r) - t(r).\nAnswer: -2*r**3 + 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 53, -1, -4 in ascending order.\nAnswer: -27, -4, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (818\/8)\/((-35)\/(-140)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:10 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352199189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - n + 2 = 25, 3*f - 3*n = -12. Let i = 105 - 64. Let k = i + f. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337181\/194360080 - 1\/270320. Let w = j - 255889\/43140. Let c = -23233 + 906008\/39. Calculate the common denominator of c and w.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvtwdcttvvtvuvd. Give prob of sequence utd.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 9. Suppose 4*m - z = -32 + 12, 0 = -z + 4. Let v be (0 - (-2)\/m)*0. List the prime factors of x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**17*c))*c)\/c)\/c)**(-2\/127)*(c**(-18)*c)**(-2\/5) assuming c is positive.\nAnswer: c**(4148\/635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 14*w + 17*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 2, g: 2, q: 2, u: 4, j: 2}. What is prob of picking 2 u, 1 p, and 1 j?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3132*x = 3561*x - 19734 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1141*o - 63. Let d be b(-1). What is the greatest common factor of 308 and d?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*2*sqrt(2160))\/(((sqrt(363) - sqrt(363)*-2) + ((sqrt(21)*-1)\/sqrt(7) - sqrt(3)))*-3).\nAnswer: -48*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-1160)\/(-72)) + 528\/60 + 30?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*t - 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*b + 360 = 29*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r - 6*r)*(0*r - 3*r + r)*(0 - 4*r + 0).\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 2*b - 4*b)*(0*b + 6*b + 4*b)*(0 - 3 + 5)*(31 + 77 - 19)*(0*b**2 - 3*b**2 + b**2) in the form l + o*b**4 + p*b**2 + h*b**3 + n*b and give o.\nAnswer: 7120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 10:37 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275.31 - -276.31. What is the nearest to 6 in 3, 0.3, m, 58?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (120\/(-56))\/((-8)\/56) and 9042?\nAnswer: 45210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266 or 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/3*1*(-300)\/100. Solve j*w - 55 = -111 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**2 - 42*u**2 - 254*u**3 + 253*u**3.\nAnswer: -u**3 - 66*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/65869 - -124426523\/395214. Let y = o + -310. Let k = 5243\/4 - 1320. Find the common denominator of y and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/1 + (-4)\/(8\/(-6)). Find the common denominator of k*(-154)\/(-63) - -2 and 83\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = v + 17. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9*q - 6540. Let u = 2308 + q. Suppose 2*x = 82 + u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**2 + w + 2. Let n(v) = 2*v**2 + v - 1. Let z be n(0). Let y be o(z). Sort y, 16, -0.5.\nAnswer: y, -0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 11) to base 12\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(-31)*(o\/o**3)\/(o\/(o\/(o**(-6)*o))))\/((o**0\/o)**12)**(2\/67) assuming o is positive.\nAnswer: o**(-1177\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -13. What are the prime factors of (f + 1)\/((-2)\/(-13))?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*m**3 - 63*m - 540*m**3 + 63*m.\nAnswer: -943*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 + 6\/21. Suppose q*z + 5*z = 35. Let c(v) = 2*v - 10. What are the prime factors of c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, -5, -4, 103 in descending order.\nAnswer: 103, -3, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43552756 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*h**5 - 3*h**4*t - h**4*w - 5*h**2*t*w + 10*h**2*w - 12*h*t wrt h?\nAnswer: 1740*h**2 - 72*h*t - 24*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 47727*t. Let v(i) = -90*i. What is v(d(n))?\nAnswer: -4295430*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than or equal to -1542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 - 12 = 0. Solve -2*y - j*y = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6*b = -9*b - 19, -2*s - 5*b - 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*w + 2*l, -5*l - 113 = -5*w + 72. Suppose 5*h + 0*h + 20 = z, -z = 4*h + 7. What is the greatest common factor of z and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36850 and 34.\nAnswer: 626450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 316768759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 225.\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 17 = -4*n, n + 0*n - 5*q - 27 = 0. Solve n*f + 9*p - 2 = 4*p, 3*f - 4*p + 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than or equal to 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794120697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekeke. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {l: 2, m: 1, s: 4, g: 1, y: 2, j: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4370.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 12:49 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190*x**4 + 585*x**4 - 130*x**4)*(-5*x + 4*x + 3*x).\nAnswer: 530*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + 3 + (6*sqrt(112)*-1)**2 + -4 + 0.\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 6.4. Let r = -5 - d. What is the closest to -0.1 in 5\/6, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddyyydl. Give prob of picking 1 y and 2 d.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 - 18 = -x, 5*x + 15 = 5*p. Suppose -3*g + p*j + 7 = 0, -4*g + 12 = 3*j - 36. Is -2 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5*(5 + 135\/(-25))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.072 - -12. What is z rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2136 + -403. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - s + 4, -3*s = -3*i + 2*s + 26. Let k(b) be the first derivative of -2\/9*b**3 - 2\/3*b**i + 1 + 0*b + 1\/6*b**4. Find m, given that k(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -12*p**4 + 59*p**3\/3 - 39. What is the third derivative of z(l) wrt l?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2423, 2586, 2749, 2912, 3075?\n\"Answer: 163*x + 2260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + a + 2*a + (4 - 1 - 1)*(-2*a + a + 0*a) - 3*a + 0*a + a - a + 5*a + a)*(7*a + 1032*a**2 - 34*a + 29*a) to m*a**3 + l + d*a**2 + c*a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2987 (b) 7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-64))\/(7\/(-8)*-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 0 + 1 - -29. Suppose 5*f - 2*y - h = 4*f, 54 = 2*f + 4*y. Suppose -73 = -5*r + f. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2, -0.5, -0.4, 1042, 3, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3528 and 1512504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2251?\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 985251 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83085*d*g + 876408*d wrt g.\nAnswer: 83085*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.7, 4, -2\/77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108101671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 481*q**3 - 894*q wrt q.\nAnswer: 2886*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*w - 22 = 0, 73*t = 71*t + 5*w - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12478613?\nAnswer: 7, 29, 61471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 0*r)*(293*r**2 + 39*r**4 - 293*r**2)*(1 + 1 - 9).\nAnswer: -273*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -0.1. Let w = d - -1. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-4 + 4 - 82). Suppose -3*r + 5*n + 56 = 0, -3*r - 5*n - m = -8*r. What is the highest common divisor of r and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, h: 3, i: 4}. What is prob of picking 4 e?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 16*r - 47. Let f be b(18). Let q = -18 - -20. Let t be (-396)\/f - (-2 + q). What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 42 - -68) + -11 + -3 + 2\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let z = -1 - 11. Let i be 2*(-4 + (-70)\/z). What is the smallest value in h, 4\/7, i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 12*d + 100. Differentiate -102*i**2 - 37 + d - 30 with respect to i.\nAnswer: -204*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37800398 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20884, 41806, 62730, 83656, 104584?\nAnswer: 125514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 122*m**4 + 578*m**3 + 1022*m**2 + 788*m + 224 = 0 for m.\nAnswer: -56, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 696204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 0, -11 = -3*d + 2*f + 3. Let k(a) = a**2 - 4*a - 12. Let l be k(6). Suppose l*b = -5*b + 40. Solve -b = -z + 2*p, 2*z = -d*p - 7 - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 5487?\nAnswer: 16461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 571 - 404. Calculate the lowest common multiple of 4 and w.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5584558?\nAnswer: 2, 7, 37, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -156*h - 6*h**2 + 156*h + (-82*h + h + 12*h)*(-2 + h + 2).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.04 + -0.04. Let m = -0.3 - -0.1. Let w = 0.1 + -0.1. Which is the closest to w? (a) m (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 43?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16064 - -16087.939. Let k = x + 0.061. Let g = k - 23.942. Round g to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2))**(2\/21)\/(v**(2\/7)*v*(((v**(-5)*v)\/v*v)\/v)\/v) assuming v is positive.\nAnswer: v**(97\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 483157.734 - 482570. Let w = i + -587. Let v = w - 0.732974. What is v rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let k(r) = 2*r + 1. Let a(v) = -g(v) + k(v). Let n be a(-3). Is (2\/n)\/((-3)\/75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from vrsscc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:58 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + 12.4. Let c = q + -18. Sort c, 2\/5, -0.3 in ascending order.\nAnswer: c, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 + 41*r - 24. Determine v(12).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 29*q - 29. Let h(c) = -15*c + 17. Let a(x) = 11*h(x) + 6*z(x). Give a(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2520 and 420?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*g = 253*g - 542*g - 663 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -s - 11. Let v(t) = 1 - 9*t**2 + t**3 + 2*t**2 - 6*t**2 + 6*t - s*t**2. Calculate the remainder when v(15) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -9\/11, -7, -1549 in descending order.\nAnswer: 3, 0.3, -9\/11, -7, -1549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Suppose 3 = 4*i - 21. Suppose -2*c = r - 6*r - 22, -16 = -4*c + 3*r. Let g(t) = 0*t - 4*t + 2*t + 8. Calculate c*g(n) + i*f(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20957\/9 - 2336. Suppose 3*d - 5 = 1. Calculate the common denominator of (1 - d) + 62\/9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64392 is divided by 21394.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 3, 5\/4, 2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = -4*c, 22 = c - 2*a + 38. What is the closest to 1\/38 in -6, -4, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(175) + (-1 + sqrt(175) - sqrt(175)))*1*4)**2.\nAnswer: -1440*sqrt(7) + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*l + 921, 0 = 2*l + l + 5*a - 913. Let k = -148 + l. Let w = 342 - k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1445 and 70960.\nAnswer: 20507440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 9. Let m be g(-8). Let t = 0 - m. Does 3 divide 2*t - -1*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409.4 - -431.63. What is n rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 2. Let q(s) = -s - 13. Let u be q(-11). Let v(k) = 4*k + 3. Let d be v(u). Calculate w(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16562597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9021320 and 21210.\nAnswer: 27063960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 0*c**2 - 2*c**2 + c**2 - 6 + 11*c. Let k be n(10). Suppose -k*f + 15 = f. Calculate the smallest common multiple of 4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1342, -2731, -4120, -5509, -6898?\n\"Answer: -1389*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*(-36)\/510*-17*22\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67252*a*p**3*q + a*p**2 - 12*a*p*q + 2*a*p + 9*a*q + 25*a + 302*p**3*q - 1 wrt p?\nAnswer: -403512*a*q + 1812*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118411*p - 64102*p - 55793*p + 16204*p.\nAnswer: -222102*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*10\/25*(-2)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 58*j + 3)*(-2*j - 5*j + j) + j**2 - 3*j + 3*j + (-4*j - 3*j + 5*j)*(j + 0*j - 3*j) to y*j**2 + x + l*j and give y.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 + 8 = 0. What is the remainder when 57 is divided by (-1)\/i - 94\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2592008*n**3 - 2138478*n**2.\nAnswer: 15552048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 98853865 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 43, 98, 185, 310?\n\"Answer: w**3 + 7*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -0.4706816?\nAnswer: 3.5293184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 16. Let p be o(10). Suppose 2*g - p + 28 = 3*n, -n + 2 = -2*g. Solve 0*c = -5*c + n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 - 26?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1790, 15126, 51242, 121502, 237270, 409910?\n\"Answer: 1894*r**3 + 26*r**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 = r, 3*r - u = -2*u + 9. Suppose -2*g - 5*v + 28 = -g, 0 = r*v + 6. Let c = 914 + -819. Calculate the highest common divisor of c and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 164 - 164 - 7*x as g + u*x and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 802 - 798. Let m(p) be the second derivative of p**3\/6 + 3*p. Let r be m(-3). What is the fourth smallest value in r, 4\/7, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, 4, 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + 123. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 14. Suppose q*a - a + 5 = 0. Find the second derivative of -10*m + 6*m + 7*m - 3*m**a - m**5 wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246349997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and 123\/140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c - 31 - 879 = -23*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 599273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356 by -69386.\nAnswer: 178\/34693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 23*w**2 + 64*w + 439. Give c(-12).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 111 = 78. Let l = 1990 + o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321\/8 + 1963\/24. Let m = g - 42. Let f(o) = o**2 - o. Let v be f(1). Is m at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -68932d?\nAnswer: -689327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 5*p**2 - 24*p + 4. Let j be s(-8). Let t(n) = -n**3 + 4*n**2 - 3*n + 11. Let g be t(j). What is the closest to -1 in -6\/7, -1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2194983 and 15.\nAnswer: 10974915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - (15 + -59)) + (-3 - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:56 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111101 - 1100110111101?\nAnswer: -1011110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345298 = 4*u + 23*x + 1345247, 3*x = u + 31 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:56 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n. Let y(i) = -61*i + 3. Give y(s(z)).\nAnswer: 244*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 4\/(-1))\/(-1). Let a = q - -6. Let g(c) = -2*c**3 - 2*c**2 - 1. What is g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 4. Let c be y(-3). Let b = 91 + -87. Put b, c, -5 in decreasing order.\nAnswer: b, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3580, -7186, -10822, -14488, -18184, -21910?\nAnswer: -25666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*y = -4*c + 20, -2*y - 8 = -4*c. Suppose 79 = c*j - 5*k, -2*j + 0*j + 5*k + 61 = 0. What is the remainder when 34 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f**2 - 14*f**2 + 18*f**2)*(-5 + 0 + 2)*(2 + 2*f - 1 - 4*f).\nAnswer: 120*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -8, 2, -641\/5, -2\/9 in ascending order.\nAnswer: -641\/5, -18, -8, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4833 times 154.585\nAnswer: 747109.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = -5*l + 13, -4 = -4*l + 4*u. Let v(n) = n + l*n + 2 + 5 - n. Give v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 28. Put 1, i, 10, 5 in descending order.\nAnswer: 10, 5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 8:47 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/7 (b) -1 (c) 2\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -53*p**2. Let z(t) = -2*t**2 - 4*t + 3*t**2 + 4*t. Calculate z(c(y)).\nAnswer: 2809*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14 = -3*c, -4 = -5*q + 4*q. Let h = -0.1 - 0.2. Put h, c, 0 in ascending order.\nAnswer: c, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iittit. Give prob of sequence tii.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/8*(-12)\/(-3). Let v = 5 + i. Suppose 6*j + 3 = 5*j - 2*t, -4*j + 4*t = v. Sort 3, j, -0.1.\nAnswer: j, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299537029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(-2 + 5*x + 2)*(0*x + 0*x - 2*x).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324630 is divided by 5687?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-3)*1\/2. Let k be 3*(b + (-20)\/(-3)). Suppose 0 = 4*n - 3*d - k, 4 = -4*n - 3*d - 3. What is the remainder when 4 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44762 and 5?\nAnswer: -223810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 290 + -265. Suppose -9*x - 96 = -w*x. Solve -x = -2*a + n, a + 0*a - 5*n = 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 1 + sqrt(80) + (sqrt(80) + -3 - sqrt(80) - sqrt(80)) - sqrt(80)) + 2)**2 + -4 + sqrt(45)\/(sqrt(9) + sqrt(9)*2) + 5.\nAnswer: sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {b: 4, p: 9, n: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 44*f - 207. Let c(m) = 3*m. Give k(c(y)).\nAnswer: 132*y - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y**3 - y + 1. Let f be r(1). Solve -p - f = -6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*o + 18 = 0, 5*w - 2*o - 34 = o. What is the remainder when 29 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 1. Suppose 4*l = 4*x - 48, 4*x + x - 56 = 4*l. Let f = x + -6. Calculate the smallest common multiple of r and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 = -w, 0 = 3*w + 5 - 2. Suppose b*k + 0 = i + 1, -2*i + 12 = 3*k. Solve -4*t + 3*c = -c + 8, c = k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 306 + -304. Suppose -5*v + 10 = -10*u + 5*u, -v = y*u + 4. Solve 5*l = -3*m - 12, v = l - 5*l + 2*m + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011111110101100000 + 1?\nAnswer: 111011111110101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 185 and 4.\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 3, g: 1, q: 1, y: 4}. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2970*-87 - 6\/(-54)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0208 and 4927.05.\nAnswer: 4927.0708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 11*x**2 + 7*x - 8. Let t be a(-10). Suppose 0 = 7*v - 13 - t. Suppose 21 = 4*m + 3*j, -3*j = -v*m + j + 65. Solve 3*c = -3 + m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718238549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/20*5\/(-2). Suppose 16 = 5*o + w. Suppose -o*r = 0, -2*t + 5*r = -355 + 95. Round t to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 2. Let d(r) = -10*r - 11. Let a(m) = -2*d(m) + 11*q(m). Calculate a(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -9. Let z(g) = g**2 - 9*g - 6. Let h be z(11). Suppose 3*c - h = -n, -4*n = 5*c - 4*c + 13. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:29 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-278 + 12)\/14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81276203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u = 14. Suppose -2*a + 16 = -0*a. Let q = a + u. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 19. Suppose -36 = 16*w - 12*w. Let y be g(w). Suppose -6 = -0*v + v - 3*i, -5*i + y = -4*v. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13828.\nAnswer: 2, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(0 + 0 - 4)*(22 - 22 - 9*f**2) in the form p*f + j + s*f**2 and give s.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -7*r**6\/20 - r**5\/30 - r**4\/24 + 2*r**2 - 19*r. What is n(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9681 - 9687. Sort x, -615, 4, -4, 5 in increasing order.\nAnswer: -615, x, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01366 or -2\/3?\nAnswer: -0.01366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4 - 5. Suppose -3*g - 4*b + 5 = 0, 4*g + g = -j*b + 1. Is -1 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*j - 9*j - 9*j + (-3 + 0 + 5)*(-3 - 4*j + 3))*(2 - 2 + 2*j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 18*b**2 - 79*b - 2. Let g be q(-10). Let v(x) be the third derivative of x**4\/12 + 3*x**3\/2 - 4*x**2. Calculate v(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -14. Sort 1, -0.5, f.\nAnswer: f, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g + p, -9 = -3*g + 2*p - 4*p. Suppose 7 + 8 = -g*x. Let z = 10 + -6. Which is the smallest value? (a) x (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 = -l. Suppose p + 0 = l. Solve -3*s + 0*s + 4*n = 8, 2*s + p = 2*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9652)\/228 - (-1)\/3 - (5 + -13)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4928 + 5687. Calculate the lowest common multiple of 132 and a.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 2, 15, 46, 101, 186?\n\"Answer: f**3 - 6*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, c: 3}. What is prob of sequence nnc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v - 68*v - 105 = 0. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u + 3. Let j(s) = -11*s + 725. Determine -j(x) + y(x).\nAnswer: x - 722","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82979, -83331, -83683, -84035, -84387?\nAnswer: -84739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 1. Let u = -581 - -581. Let j = -17.3 + 17. Which is the nearest to u? (a) j (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1*2\/4). Let x be 6\/(-2*9\/(-12)). Suppose w + 5 = -x*z, 0 = z + 4*w + 12 + 8. Solve 5*p - 21 = o*j - z*j, -4*j - 18 = -2*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 23, 2.4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106287 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c. Let o(i) = i**2. What is k(o(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from ovududvudroovpodu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22693427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 107*h + 2101. Determine t(-51).\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4 - 1924*z**3 + 2349212*z**2 + 3150219072*z - 2680842979584 = 0. Calculate z.\nAnswer: -1848, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126.07435 + -129.686. Let q = -3.64 - u. What is q rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -303 - -303. Suppose 0 = -2*s - 3*p - j*p + 276, 0 = -2*s + 3*p + 276. What is the highest common factor of 184 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230032 (base 6) in base 7?\nAnswer: -363521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 371 = -105. Let l = o + -663\/5. Let q = 0.76 + -0.8. Does q = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213494 divided by -23794?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139500 by -23250.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18328320 and 72?\nAnswer: 18328320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 572650380 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 - 8*x + 9. Let r be u(7). Let n(v) = v**3 - 53*v**2 + 196*v + 26. Let f be n(49). What is the highest common divisor of r and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*n - 2*n, n - n = 4*n - 6*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (1 - -1))\/(-1). Let z(m) = m + 1. Let i be z(-4). Let p = i + n. Are p and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321010 - -1?\nAnswer: 321011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 + 0 - -4. Suppose w*r - 105 = r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-12)*(-12)\/4. Suppose 4*q + a = 0, k - 2*k = 3*q. Let g(z) = -6*z**3 + 7*z**3 + 4 + 0*z**2 - k*z - z**2. Calculate g(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32050259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-160)\/(-36) + (-140)\/315. What is the highest common factor of 686 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-2)\/(-9) - (-335600)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2069790421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1296, 26, -14 in increasing order.\nAnswer: -14, 26, 1296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -217\/2, 7 in decreasing order.\nAnswer: 7, -0.2, -217\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 17 = -4*w, -12*l - 3*w = -7*l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -847086 divided by 423543\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 7*n + 2. Let m(l) = 2*l**2 - 7*l - 2. Give -3*m(x) - 4*z(x).\nAnswer: -2*x**2 - 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46916.\nAnswer: 2, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqkjqdllqkjdykkqjk. Give prob of picking 1 l, 2 j, and 1 y.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3214317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*z + 5, 2 + 1 = -s - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34747002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 = 18. Suppose -560 = -5*p + 5*h, -j*h + 336 = p + 2*p. What is the highest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f = 121*f - 14489728 + 711601. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 2636579125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504736 and 352.\nAnswer: 5552096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + 1*sqrt(1584) + 0 + sqrt(1584)) - (2*sqrt(1584)*-1)**2) + -2 + -4.\nAnswer: -6342 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Suppose 5*s + 10 - 50 = o. Solve -n - s = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269030*j + 269034*j + t - 2 - 10 = 0, 86*t = -5*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -53 + -10 + -19 + 23 - -7 - -3\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5819)\/(-759) - (-17710950)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - -1.94. Let j = q - 2. Let h = 177 + -172. Which is the smallest value? (a) h (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 + 167.117. What is w rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let w be o(-5). Sort w, -3, 3 in decreasing order.\nAnswer: 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**3 + w - 1. Suppose -105 = -5*r + 5*y, -7 = -2*r - 5*y - 0*y. Suppose -5*h = 3*l + r, -6*h = -l - 2*h + 23. Let s be 0\/l + (4 - 3). What is t(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 31 = 5*i, 3*x = 5*i + 53. Is x not equal to 121\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 + (-11)\/(-2). Let j = v - -5. Let r = 1227 - 1223. Calculate the remainder when j is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -62\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*q = -33594 - 24954 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -514457\/480 + 3215\/3. Calculate the common denominator of 61\/1580 and i.\nAnswer: 12640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6846 and 6.\nAnswer: 6846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1 - 30685*u**2 - 1 + 30616*u**2. Let z(k) = -1. Let b(t) = t - 5. Let n(r) = b(r) - 5*z(r). Determine n(p(v)).\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 10, -33 = 2*p - 0*x + 5*x. Let l be -1 + 10\/p + -4 + 6. Let b = 0.1 + -0.3. Sort b, -0.4, l in descending order.\nAnswer: b, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from {z: 3, v: 1, m: 2, k: 3, o: 4, r: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 2. Suppose -20 = -99*a + 89*a. Let d(q) = -39*q**a + 31*q**2 + 7*q**2. Calculate d(z(h)).\nAnswer: -9*h**2 + 12*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/9, 0.1401, 2\/5 in ascending order.\nAnswer: -3\/4, 0.1401, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88*(6 - (-423)\/(-72)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -35*u**2 + 18831*u - 549. Calculate l(538).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r**3 + 6960 - 6960)*(2*r**2 - 4*r**2 + r**2) + 0*r**5 + 3*r**4 - 4*r**5 + 2*r**5.\nAnswer: -26*r**5 + 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/5))**(-20)\/(l\/(l\/((l\/((l**(1\/2)\/l)\/l*l))\/l)))**35 assuming l is positive.\nAnswer: l**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0.3. Let n = h - 27.7. Let i = n - -26.39871. What is i rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 204937*v + 1024712. What is s(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = 3*o + 89, 3*o = 4*j + 172. Let h = j + 49. Calculate the remainder when (-7 - 2)\/(3\/(-192)*h) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3 and 81\/37912.\nAnswer: 113736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2542017.\nAnswer: 3, 847339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*k + 3*q, 0 = -3*k - 4*q + 35 - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414408 to the power of 1\/2, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from tudpp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71898 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 4*w**2 - 7*w - 10. Let u be r(-5). Suppose u*f - 2*f = -106. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*p - 36, -p - 3*b = -6 + 22. Let z be 2\/(-8) + 1\/(-2). What is the biggest value in p, z, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -134.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.94 + 0.06. Suppose -4*m = -69 - 315. Let y be m\/56 + -2 + 0. What is the biggest value in 1, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4, 247?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**3 - 31*o**2 - 7*o - 5. Is q(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -3\/5, -0.0554 in increasing order.\nAnswer: -3\/5, -0.1, -0.0554, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -3 (c) 1868752\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2052, 2051, 2050, 2049, 2048?\nAnswer: 2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1469208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:51 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a kilometer in meters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2380 + 468859\/197. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3337 and -729.\nAnswer: -729.3337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 5, r: 3}. What is prob of sequence rrr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -109, -220, -357, -532, -757, -1044, -1405, -1852?\n\"Answer: -2*d**3 - d**2 - 94*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 4*t**2 - 5*t + 5. Let g(o) = -o**3 - 4*o**2 + 4*o - 1. Let f be g(-5). Let u be (4 - 14)*(-2)\/f. Let n be q(u). Round n to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2063 * 2\nAnswer: 0.4126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -313*g**5 - 322*g**2 wrt g.\nAnswer: -18780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 10. Let d be w(5). Let f = d - 0. Suppose -f*h + 3 = p, -2*h - 2*h = 3*p + 2. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 0.7, -3, 2, -0.42?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - -1524?\nAnswer: 14fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m. Let b be q(7). Suppose -v + 3*v - 20 = b. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 16*u**2 + 54 - 53 - 130*u**2 - 86)*(3*u**2 + 0*u**2 - 6*u**2).\nAnswer: 342*u**4 + 510*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -126*i + 282. What is the remainder when s(0) is divided by 74?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/880 and -5\/21472.\nAnswer: 107360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s - 19. Let g(u) = -23*u + 41. Let f(m) = -13*d(m) - 6*g(m). Let r(a) = -3*a + 6. Let x be r(3). Let h(k) = 11*k - 2. What is x*h(c) - 7*f(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-17))\/(-7 - (-112)\/14).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 515766.\nAnswer: -515765.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 36*n**3 - n**2 + n. Let t be (-12)\/3*1\/(-4). Let w be y(t). Calculate the greatest common factor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 24 = d, -5*s + d = -d - 58. Suppose -3*c = -28 - 302. Calculate the highest common divisor of s and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7205 - -135. Let o be ((-7940)\/h - (-2)\/(-14)) + -1. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-10)\/(-3)) + 2\/6. Let p(c) = -2430001*c**3 - 2*c**2 + c + 2. Let x be p(y). Round x to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -67\/2. Suppose 0 = -b + 4*g + 13, 2*b - 2*g - 22 + 8 = 0. Suppose 0 = 3*p + b + 1. Sort p, z, 0.3 in decreasing order.\nAnswer: 0.3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 21. Let l = a + 9. Solve j + p - l = -j, -2*j - 2*p = -6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.5 and 85789.\nAnswer: 85793.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7525.104 kilograms in tonnes?\nAnswer: 7.525104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*p + 3*i, p + 0 = 5*i - 12. Let b(m) = m - 229*m**2 - 3*m - m**3 + 226*m**2. Calculate b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431004 (base 5) in base 9?\nAnswer: 45286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23845701931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4354 divided by 622?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 3. Let h(a) = 2*a + 1. Let p(v) = 9*h(v) + 4*t(v). Let j(w) = -9*w + 10 - 1 + 4 + 0. Calculate -6*j(z) - 26*p(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 + 6 = 0. Suppose -d*i + 65 = 10. What is the greatest common factor of i and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -266*q. Let l be f(-1). Let k = l + -86. Suppose -7*m + k = -86. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 160, 319, 478, 637, 796?\n\"Answer: 159*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-10)\/8) - -21. Suppose 4*p = 3 + t. Find the second derivative of -3*i**p + i + i + 4*i**5 wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - 6*u - 6*u)*(-3*u + 3*u + u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 5*z + 12. Let g be l(3). Let v(d) = -d**2 + 8*d - 3. Give v(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-9 + 7) - ((13 - 21) + -19).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-514)\/12*-28*3. Suppose 3*j = w - 226 - 539, -4*j + 2295 = 3*w. Let m = h - w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2120*x - 3864?\nAnswer: -2120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/17)*l)\/l)\/(l*l\/l**(-9))*(l**(-2))**(1\/46) assuming l is positive.\nAnswer: l**(-4295\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b**2 + b**2 - 2*b**2)*(0 + 0 - 1 + (-1 + 3 + 0)*(4 - 4 + 1) + 1 + 0 + 1 + 0 - 1 + 0) to the form c*b + f*b**2 + y and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2 + (3 - 1 + 0)*(3 - 2 - 2) + 0 + 2 + 3)*(-3 - 1 + 1)*(4*p**2 - 4*p**2 - 2*p**2) in the form d*p**2 + a*p + k and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5. Suppose 10 = 3*c + 4*s + q, 0 = s. What is the second derivative of r**4 - 3*r**4 - c*r + r**4 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 890\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382911047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -51?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3)\/w)*w)\/w**(-3))**(-43) assuming w is positive.\nAnswer: w**(-387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 o when three letters picked without replacement from bccocoocbxxcbccocc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -497*y**3 - 3*y**2 + 8*y - 10. Let b = 47 + -52. Let d be k(b). Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:16 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378*m**4 + 91*m**2 - 112*m - 569748952 with respect to m.\nAnswer: 1512*m**3 + 182*m - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10299623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54241428*k**3 + 36008908*k wrt k.\nAnswer: -325448568*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from aannagnavcvka?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 2*u**2 - 14*u + 3. Let a be y(5). Let g be 1\/a - (-28)\/32. Is 14 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504479587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 83*c + 499. Give h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -447661 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.3, -300, -1\/4, 1\/7, -31 in decreasing order.\nAnswer: 0.3, 1\/7, -1\/4, -10, -31, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4376 - 81636 = 1696*r + 27416 - 13092 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194893218 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-18))\/(2\/6). Is (1540 - -4 - h)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = -2*g + 9, 0 = f + 3*g + 3. Let y(b) = -2*b + 2. Let c(j) = -j. Let p(i) = f*c(i) + y(i). What is p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268884 and 2772.\nAnswer: 268884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41845 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*b - 8878 + 32704 = 0 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + -1 - -21. Let s = 51 - o. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192) + 3)**2 + 0.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37457.27 nanograms to milligrams.\nAnswer: 0.03745727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2659962 is divided by 409.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16728440 is divided by 712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15261 + 15679. Which is the nearest to -2? (a) -0.2 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + d - 3)*(4 + 0 - 3)*(-29 + 29 + 177*d**2) to j*d**2 + l + p*d**3 + x*d and give p.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 2*l - 5. Suppose -1 + 7 = -3*c. Let j(u) = -3*u**2 + u + 2. Let s be j(c). Let o be 40\/s - (-2)\/(-3). Calculate p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -728 - -730. What is the fourth biggest value in y, 0.3, 2\/7, -18\/17?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 10. Let r(n) = -2*n - 20. Suppose 5*y = 25, 6*x + 21*y + 59 = 22*y. Give x*v(m) - 4*r(m).\nAnswer: -m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 46*k + 3*u = -663, 4*k + 2716 = 4*u. Let l = k + 612. Is l bigger than -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/20 + u**5\/6 + 5*u**4\/12 - 8*u**3\/3 - 11*u**2. Let o(g) = g**3 + 2*g**2 + 2*g - 3. Give -3*b(v) + 16*o(v).\nAnswer: -2*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 44556428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:22 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 - 17*c + 116 + 17*c - 111 to n + v*c**2 + p*c and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 60.5. Let v = 0.6 + 4.4. What is the nearest to v in -3\/2, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.596535 to 2 decimal places.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1357080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 19 + 1. Let d = g + 2. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 107. Let c = -109.024 + n. Is 2 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -167, 2, -48, -9, 4, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003285.\nAnswer: 5, 200657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89157 is divided by 249?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 75.56?\nAnswer: -80.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiyiiiy. What is prob of sequence iy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u**2 - 88*u**2 + 40*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -4, -2, 1, 0, -913 in ascending order.\nAnswer: -913, -8, -5, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b, 3*m - 7 = -2*b + 3. What is the nearest to 0.2 in m, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1083, 37, 4 in ascending order.\nAnswer: -1083, 0, 1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, 10, -2, -68, 8 in decreasing order.\nAnswer: 10, 8, -2, -68, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/15, -2, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26 - 0)\/(-3 + 4). Suppose -2*m + 2*n = -18, 30 = -4*m + 6*m + n. What is the highest common divisor of m and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13773.\nAnswer: 3, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 6*b**2 - 4*b + 1. Let c be r(-5). Let q = 5 + c. Solve o + 2 = -q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9785 and 132355.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23123 - 13193. List the prime factors of j.\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 15*d + 6. Let w be k(15). Let t be 1 + (2*1)\/(4 - w). Solve 3*c - 3*r = t, -3*r = 4*c - 2*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2 + d - 2 + d. Let l be g(-3). Let q(t) be the first derivative of -t**3\/3 - 5*t**2\/2 + 1. Give q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*n - 117*n - 210 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -0.5. Suppose 7*l = 6*l. Let y = -178 + 177.5. Which is the third biggest value? (a) l (b) y (c) 5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*l = 0, -4*q - 2*l - 19 = 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:14 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/265, 3\/4, -2, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14*t**3 + t**2 - t - 3. Let f be q(3). Let u = f + 633. Let v = u + -88. Round v to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1226 - -230?\nAnswer: -aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -18\/17, -6\/7, -3, -0.3, 0.14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -789.584626 less than -3.563?\nAnswer: 786.021626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.86 - -37. Let o = 0.44 - r. Let y = 2.1 - o. What is the second biggest value in -4, -5, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 58 + 55 - 22.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.3, -2\/13, 3, 130, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.3? (a) -282 (b) -0.111 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 410916 and -0.09?\nAnswer: 410916.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 481458150 or 481458151?\nAnswer: 481458151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11190, -44759, -100708, -179037, -279746?\n\"Answer: -11190*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23666519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2549*b + 2544*b - 2, -3*b + 230 = -4*s for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1.3, 0.08, 0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*l*n*r**3 - 118*l*n*r**2 - l*n*r + 2*l*r**3 + 34*l - 3*r**3 with respect to n.\nAnswer: 11*l*r**3 - 118*l*r**2 - l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10923, 21901, 32903, 43929, 54979, 66053, 77151?\n\"Answer: 12*p**2 + 10942*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000076 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 5841 = 32*y. What is the least common multiple of y and 126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 157111 and -14824744.\nAnswer: -14667633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221341 (base 5) to base 15.\nAnswer: 244b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - i)*(-3*i + 2*i - i) - 2*i**2 + 5*i**2 + 0*i**2 + 5*i**2 - 4*i**2 - 4*i**2 + (0*i - 2*i + 4*i)*(-3*i - i + 3*i) - 3*i**2 - 2*i**2 + 6*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13242 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 402?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350370 is divided by 70072.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*x - 4, -4*k = x + 319. What is the tens digit of 2634\/(-8)*108\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1067 + -17?\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 - 7*l**2 + 19*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 13, g: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 39. Let z be (-1)\/p - ((-534)\/5)\/(-6). Which is bigger: -17 or z?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzr when three letters picked without replacement from {f: 1, z: 4, r: 8}?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1222?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -12. Let d = g + -6. Calculate the common denominator of -5\/7 and 2*d - (-306)\/(-99).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 191 - 1467. Suppose -7*q + 2*h + 164 = -3*q, 5*h = 3*q - r. Suppose 4*i = 107 - 35. What is the smallest common multiple of q and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.018073 from -3085.\nAnswer: -3084.981927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67273, -67300, -67357, -67456, -67609, -67828?\n\"Answer: -2*y**3 - 3*y**2 - 4*y - 67264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(18\/10)*3. Suppose 2*y = 7*s - 2*s, -5*s - 25 = 3*y. Let u = s - t. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**1*p*((p**(-9)\/p)\/p)\/p*p**(2\/35)\/p**3 assuming p is positive.\nAnswer: p**(-453\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -454, -1532, -3638, -7114, -12302, -19544?\nAnswer: -29182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -27. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7242234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -35. Solve 0 = -a - 3*k - 1, 0*a + 2*a + 10 = d*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537911097?\nAnswer: 2537911097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0294 + 574.9706. Let g = -574.99197 + i. Round g to 4 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**3*x**2 - 49*t**3 - t**2 + 114*t*x**2 wrt t?\nAnswer: 6*x**2 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26.5883 and -1431436?\nAnswer: 1431462.5883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*g - 178*g + 12 = -354*g, -6 - 18 = 3*s - 4*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74873181 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l + 12 = 0. Let w(a) = -3*a + a**2 + 3*a**l + 4*a - 2*a**2 - 2. Let v = -22 - -23. Let d(p) = p**3 + p - 1. Determine v*w(i) - 2*d(i).\nAnswer: i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 6.1869?\nAnswer: 5.6869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:00 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -1d06a?\nAnswer: 1d065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4212764, 8425744, 12638738, 16851752, 21064792, 25277864, 29490974?\nAnswer: 33704128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(0*a - 3*a + 2*a) + ((5 + 14 + 1)*(0 - 3*a + 0) - a - 3*a + 2*a)*(-1 - 1 + 4).\nAnswer: -126*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 91 or 1\/2?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -57*b**3 + 17*b**2 - 11*b. Let x(z) = 19*z**3 - 6*z**2 + 4*z. What is -6*v(i) - 17*x(i)?\nAnswer: 19*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m + 12 = 2*a, -5*m = a + 5. What is the remainder when 28 is divided by (2 + 3)*(a - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:19 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 0 - (80 + -179 - -123).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 41 = 3*a, 0 = -2*a - 6*b + 4*b + 30. Let z = a + -14. Suppose 100 = z*y + 4. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13675.11 * -671\nAnswer: -9175998.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 52 = -76. Solve 3*i - w*o = -3, i + 0*i - 7 = 4*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3580 = 873*b - 11261 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5066204 and 67\/309038444.\nAnswer: 309038444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, 10, -4, -1\/5, 87?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 29*j + 169. Let z(l) = 12*l + 84. What is 2*w(q) - 5*z(q)?\nAnswer: -2*q - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41990.85 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001101 to six dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181\/2 + 1633\/18. What is the nearest to -1\/2 in 6, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962649\/(-12)*256\/(-96) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5152431 (base 6) in base 13?\nAnswer: -88c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384 greater than or equal to 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 2. Let q be u(5). Put q, -2, -5 in increasing order.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, 5, -35, -32, 1 in decreasing order.\nAnswer: 5, 1, -32, -35, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = -4*j - 3, -20 = 4*i. Suppose -n + 4*z = -49, j*z - 2 = -12. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.17174947518 minus -1?\nAnswer: 21.17174947518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175.6 - -22.6. Let q = 151 + z. Which is the nearest to 1? (a) 1.1 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/4))**14)**16 assuming t is positive.\nAnswer: t**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20611 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 2, u: 1, y: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c + 9*c)*(-1 + 1 + 1)*(3 - 3 + c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -866 (b) 0.4 (c) -2\/9 (d) -0.2 (e) 5 (f) -1\/3 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 728809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - j - 5. Let y be o(0). Suppose 0 = -5*c + 40, -c + 20 = 7*n - 10*n. Sort 52, 2, n, y in decreasing order.\nAnswer: 52, 2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 2. Let o(l) = 41769*l - 18564. Calculate 9282*h(s) - o(s).\nAnswer: -23205*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 g when four letters picked without replacement from bgbbgbtttbgt.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 2\/11, 780, -0.001?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 1534*j + 71039. Calculate w(-44).\nAnswer: 1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -4. Let i be (c\/(-7))\/(6\/28). Suppose i*g - 9*g + 16 = 0. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1481 and -6470035.\nAnswer: -6468554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 295\/(-340) - 9\/(-12).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3386 = -3438. Let q = r - -73. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7*m**2 + 15 - 10 + m**2 in the form b*m + u*m**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (111\/324)\/(42\/(-18)*-1 + -2) and -97\/426?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9243 and 17163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7 - 47. Suppose 5*k - 5*l - 15 = -0*k, -4*k = -l - d. Suppose 0 = i - 10 - k. What is the highest common divisor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -2*o - 2*o + 5*q, 3*q + 121 = 2*o. Let l = -41 + o. Suppose -4*c - 3*i - l = -9*c, c + i - 10 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1629996 divided by -82?\nAnswer: 19878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368833 is divided by 92204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**2 + 2*s**2 + 2 + 3*s**2 - 2*s**2 - 5*s. Let o(m) = -m**3 + 7*m**2 - 4. Let f be o(7). Calculate p(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1353 + 1362 - 4070 + 1355 + 2240*i to f + m*i and give m.\nAnswer: 2240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let w = -17 - -17. Suppose -5*d = -n*i - 25, -4 = -w*d + d + i. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 + 0 + 2 - 17*o**3 to the form c*o**3 + u + p*o + g*o**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -42. Let q = t + 23. Solve -9 = -3*i + 2*c, c + q = 3*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -3*t + 145. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 2 d when four letters picked without replacement from {k: 2, n: 5, d: 8, h: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6036 and 6036.\nAnswer: 6036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 times -0.12?\nAnswer: -43.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 373*p**3 + p - 2*p**3 - 207 + 16*p**2 + 143 + 5*p. Let a be l(24). Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - 66878\/(-14378))*(-1)\/8. Let d = s - 8\/79. Find the common denominator of 5\/104 and d.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270853821?\nAnswer: 3, 7, 101, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*i + 55*i - 816 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -976 - -1696. Suppose o - 4*u = r, 4*o - u + 1449 = 6*o. What are the prime factors of o?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314555550 divided by -6.\nAnswer: -52425925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {v: 3, g: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 42*d = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399484.7 days to nanoseconds.\nAnswer: 34515478080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 1\/84*k**7 + 0*k**3 + 0*k**2 + 0 - 1\/40*k**5 + 2*k + 1\/24*k**4 - 1\/60*k**6. Factor w(x).\nAnswer: x**2*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1060 and -0.2?\nAnswer: 1060.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3108564, 3108565, 3108566, 3108567, 3108568?\n\"Answer: u + 3108563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*(-140)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*q + 42 = -0, 2*w = q + 8. Suppose k = -k + w. Find the second derivative of p + p + 3*p**4 + p**5 - k*p**4 wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5725 - -14.5725. Let p = -8 - -7.6. What is the smallest value in 1\/5, 3\/7, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**3 - 27*r**2. Let h(o) = 27*o**3 - 54*o**2. Determine 9*d(b) - 5*h(b).\nAnswer: -18*b**3 + 27*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 71?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 4*j**2 - 2*j**2 + j**2 + 2*j**2 + 0*j**2 + 3*j**2 + j**2 - 3*j**2 + (2*j + 0*j - j)*(2*j - 2*j + 2*j) + 2 + 3*j**2 - 2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 328262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25088298 take away -4.2?\nAnswer: 25088302.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/30 - ((-24)\/18)\/(-2). What is the biggest value in -1, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = 3*s. Let k = -1 - s. Solve -k*f = -12, 0*f - 23 = -5*v - 2*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.235 (b) -10884 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 47*k**2 + 9*k + 17. Let l(w) = 45*w**2 + 8*w + 13. Give -3*g(f) + 4*l(f).\nAnswer: 39*f**2 + 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2 - 1 - 1 + 1 + 4*t. Is 13 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -5, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + (-16 - -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 279186307 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6. Let y(b) = -b - 1. Suppose 2*h - 5*h + 18 = 0. Let s(k) be the first derivative of 7*k**2\/2 + 6*k - 2. Give a*s(l) + h*y(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 74*n + 591. What is r(-17)?\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58343 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 5. Let a be (1 - 5)*(1 - 0). Let c be z(a). Let s = c + 15. Calculate the least common multiple of s and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -23 - 1. Suppose -2*q = -q - u + 2, q + 5*u = 16. Let s be (-36)\/q*(-18)\/27. Calculate the highest common factor of m and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + (-133)\/(-19) + -19. Put 1216, 5, n in increasing order.\nAnswer: n, 5, 1216","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 10, y: 5, e: 1, v: 1}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -60674908 divided by 15168727\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = a - 37, -2*a + 3*b - 102 = -5*a. Suppose -r = -a + 7. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10631 is divided by 294?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + a + 33, 75 = -4*n - 4*a - a. Let t be (-1)\/6 + n\/(-63). Let z = 47\/70 - t. What is the nearest to -1\/2 in -1\/2, 2\/3, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 12:33 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2 = -8*p. Let t be (p + 1)*(-4 - -3). Which is the closest to 0? (a) t (b) -0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2116\/(-5 - (7 - 6) - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from ppppqpppffmpuppm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 52. Let w(u) = -u**3 + 12*u**2 + 14*u + 12. What is the units digit of w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46678340 divided by 5?\nAnswer: 9335668","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70 + -21 - 30) + 0 + -56 + 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12963156*x**4 + 156019191.\nAnswer: 51852624*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (25\/14 - 2)*(-6027)\/(-378) and 43\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3601981, -14407957, -32417925, -57631885?\n\"Answer: -3601996*k**2 + 12*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10a + 60?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78.1 - 78. Let t = 2 + 0. Sort f, 5, t in ascending order.\nAnswer: f, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 3 - 31. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/(-50))\/(-9)*(-255)\/(-136)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 255, 856, 2017, 3924, 6763, 10720?\n\"Answer: 31*p**3 + p**2 + 7*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -g + 316. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8702 + 2173 = -230*h + 6876 - 2595 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + 2. What is the remainder when d is divided by 2\/(((-16)\/(-10))\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 671486228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**2 - 7226280*v - 2610956131920 = 0.\nAnswer: -722628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 504*k - 6695. Give n(14).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v. Let n be o(-2). Suppose 4*x = -2*y - y + 14, n*x = 3*y + 16. Let h = -4 + 3. What is the second smallest value in 1, x, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 2, p: 1}. What is prob of sequence ci?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((13 - 16 - 7) + (100 - (-5 - -12))).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l**2 + 3*l + 29*l + l**2)*(-3 + 3 + l) - 7*l**2 + l**3 - 3*l**3 + 0*l**2)*(27*l**2 + 65*l - 65*l).\nAnswer: -108*l**5 + 675*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:01 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.2 and 0.2.\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = h + h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/5 + (-4)\/(-10). Let j(l) = -9*l**2 + 2*l + r*l**2 + 5 - 4 + 7*l**2. Calculate j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59.3 - -59.2. What is the second biggest value in 0.3, 2, -2, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - k - 3*k - 4356897*k**2 + 4357284*k**2.\nAnswer: 387*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.4, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1140\/70 + 20\/(-70)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 483 - 812. Let t be h\/35 - (-4)\/10. Let r be 2 + t\/((-9)\/3). Solve 4*g - 33 = 5*q, 3*g + 2*g = -3*q - r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 + 7*z + 21. Let w = -41 + 35. Let v be f(w). What is the greatest common factor of v and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 4. Determine k(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -17*u**3\/6 + 19*u**2 - 157*u. Let t be g(2). Solve -4*y - 5*j + 16 = -j, 21 = -y + t*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0*a**2 + 0 - 8*a + 1\/6*a**3. Let s(q) be the second derivative of -q**4\/4 + 3*q. Calculate s(t(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651310 is divided by 343?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*q**2 - 104141 + 104135 + 70*q**2.\nAnswer: -q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534148739 divided by -4.\nAnswer: -534148739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 60. Let h be (v\/(-8))\/((-4)\/16). Is -15 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(((-1130)\/678)\/(2*4\/48*-5))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 22*l - 34. Let g be p(-30). Suppose g = 9*x - 118. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 13*o + 27*o)*(-3 + 1 + 4)*(1 + 1 - 3) - 6*o + 14*o - 10*o to the form t*o + m and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -29, -60, -123, -230, -393, -624, -935?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 55 (b) -10\/111 (c) 13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 0.3.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*n = -2 + 1, 0 = -2*h + 3*n + 7. What is the third derivative of 5*m**2 + 8*m**4 + 14*m**2 + m**3 - 32*m**h + 26*m**4 wrt m?\nAnswer: 816*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1342 and -91\/4.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 6\/18*347. Let v = k + -108. Solve v*q = 4*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let o(s) = -3*s**2 + 3*s. Let p = -19 + 16. Let x(r) = p*d(r) - o(r). Let c(a) = -9*a. Calculate c(x(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 8. Let d be n(-3). Suppose d*l = -h - 25, -l = -2*h - 3*h + 5. Suppose h = 3*g + 4*g. Solve g*a = -2*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**4 - 17*t**4 + 6*t**4 - t**3 + t**3 + t**4 + (-3 - 4 + 5)*(-3*t**4 + 2*t**4 - t**4) + t**4 - 4*t**4 + t**4 + 0*t**4 - 3*t**4 + 4*t**4.\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/((-3)\/(-16)). Let l be 21\/(-28)*f\/2. Suppose 5*i - 12 = -x, -5 + l = -2*i. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11238317 is divided by 176.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 0*m**3 + 1\/3*m**4 + 0*m**2 - 3\/10*m**5 + 0 + 17*m + 1\/15*m**6. Factor c(v).\nAnswer: 2*v**2*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18*(14\/24 - (-9)\/12). Is 26 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z - 46*z = 69 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 4*x - 9*x + 11*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 + 278. Solve 14*h + h + 26 + 5*h**d - 10*h**2 - 36 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/5)*r)\/r**(-13) assuming r is positive.\nAnswer: r**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/9)\/((-4)\/(-18)). Let q(a) = 4*a**3. Let y(z) = z**3. Determine l*y(t) + q(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 14260*i + 14262*i = 73, 0*i = -5*p + 2*i - 79 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fommffffffrfmofoffmf.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -149769\/2*j**2 + 774*j - 2 = 0.\nAnswer: 2\/387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -117, -138, -159?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 21. Let p(z) = z**2 + 14*z + 8. Let j be p(-14). Calculate the lowest common multiple of 49 and h(j).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + y - 4*y)*(2*y - 2*y + 2*y + (-2*y - 3*y + 4*y)*(4 - 3 - 2))*(0 - 5 + 4) as f*y + x + p*y**2 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Suppose -11 = -7*t + 24. Suppose -8*w + t = -11. Let k(j) = j. Let v(r) = 2*r. Let f(s) = -k(s) + v(s). Give w*o(b) - f(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 668234309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = m - 7125, 0 = 3*l - 8*l - 2*m - 35590. Round l to the nearest 100.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-425)\/(-70) + 12\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = 37*o - 59*o. What is the common denominator of 48\/11 and (36\/o - -6)*(-1)\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 11. Let w(r) = 6*r - 23. Let h(o) = -6*w(o) + 13*z(o). Find the first derivative of h(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*h - 3*l - 9, 4*h = -2*l + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -17) + 13 + -21 + -14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 3*k**2 - 3*k + 2. Let b be c(3). Let g = 3 - 23. Let m = b - g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20516020*d**5 - 78*d - 1488189?\nAnswer: 410320400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c - 1664 + 2216. Solve 0 = 11*r - 20 - c for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*k + 9 = 0, 5*d - 3 = 2*k - 22. Let t(m) = -16666*m + 2. Let g be t(d). What is g rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21267 at most -303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/11 - -87\/22. Let a be (-2)\/6*12\/(-8). Let -a*v**2 - n*v + 0 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 53*b**2 - 3*b + 4. Let a(l) = 88*l**2 - 4*l + 6. Let c(n) = -3*a(n) + 5*p(n). Suppose 0*y - 12 = -4*y. Let g be c(y). Solve 2*w = -g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*s**3 - 15*s**2 - 55*s - 7752883?\nAnswer: -336*s**2 - 30*s - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 1 + -58 + 59.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 7 - 7)*((c - 2*c - c)*(1 - 2 + 2) + 12*c - 7*c + 11*c)*(-1 + 0 + 0).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*i - 5*j, i + 4*j + 6 - 21 = 0. Let q be i - 5 - (-150)\/1. Suppose 3*y - 101 = q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -115, -201, -307, -439?\n\"Answer: -x**3 - x**2 - 62*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13479, 13459, 13439?\nAnswer: 13419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:29 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-259)\/14)*(-1 + 3). Solve -11 + q = 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 148*q**2 - 239*q**4 - 148*q**2 + (29 - 29 + 32*q**2)*(-5*q**2 + 5*q**2 + q**2).\nAnswer: -207*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/4? (a) -6 (b) 2 (c) 5 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**8\/48 + v**5\/20 + v**2\/2 - v. Let o(n) be the first derivative of j(n). What is the third derivative of o(a) wrt a?\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-3*2)\/(sqrt(108)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 4*i**2 - 4*i - 1. Let a be z(1). Suppose a*v + 7 = 11. Solve 2*f = -5 - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**3 + 3*l**2 - 11*l + 22. Give o(-3).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15496 + 17691. Solve j*r + 7 = 2188*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473981 + 106.7.\nAnswer: 474087.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3\/7 - 60477*b**2\/7 - 44663451*b - 11237076165 = 0.\nAnswer: -9947, -265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*s + 15, 2784*s + 28 = 2780*s + 4*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-6\/5)\/n)\/n**1)\/(n**(-3\/8)\/(n**(1\/16)*n*n)))**(-2\/133) assuming n is positive.\nAnswer: n**(61\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212485697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 15 = 5*z + k, 33*z - 30*z - 22 = 2*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 26 = 63*u. Sort 0, u, 0.39, -0.3 in increasing order.\nAnswer: u, -0.3, 0, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0420072 - -0.042. Round x to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 9*k + 50. What is the highest common factor of 425 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 877 + -891 - (-22 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 - 99.968. Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4913 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 77342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - r**3 + 0*r + r**3 + 0*r**3 + 2*r**3 + 2*r**2 - 2*r**2 + 2*r**3 + (0*r + 0*r + r)*(r**2 - r + r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -24*k - 200. Calculate z(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 21 = -11*v. Sort -6\/11, v, -9, 0.2.\nAnswer: -9, v, -6\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 50440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -20. Let v(l) = -3*l - 4. Let d be v(-6). Let g = z + d. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 382 - 131 = -i - 63 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6510728ns in hours?\nAnswer: 0.000000000002125298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*j + 542 = 0, b - 123 = -3*j + j. Let n be (3\/3)\/(7\/b). What is the third derivative of n*v**5 + 12*v**2 - 2*v**2 - 5*v**2 wrt v?\nAnswer: 1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than -379\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -942, -0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f - 2. What is the smallest common multiple of 10 and p(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 2*j**7\/105 + 5*j**4\/24 - 7*j**2. What is the second derivative of w(o) wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 55 = 10*o, -318*o = -313*o + 2*z - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-10) + 1917\/(-5). Suppose 5*c = -4*v - 872, 60*v = -c + 65*v - 186. Let l = c - s. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1057)\/21 + 3\/9. What is the remainder when 47 is divided by i*-3*5\/30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*n - 24*n + 65*n - 6 to the form x*n + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-15)\/6. Let v = 419.492 - 419.692. Which is the nearest to 2? (a) 1 (b) -2 (c) v (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225629\/102695 - -60\/20539. Suppose t**2 + 6\/5 - z*t = 0. What is t?\nAnswer: 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/3721764 and 46\/2791323.\nAnswer: 11165292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(75) + 0 + sqrt(75)*-2) + -3 + (sqrt(75) - (sqrt(75)*3 + sqrt(75))*2))*4.\nAnswer: -200*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 34*a - 1. Let k(h) = 2567*h - 4039. Let p(u) = -2*k(u) - 6*o(u). Differentiate p(t) with respect to t.\nAnswer: -5338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -19.\nAnswer: -11\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 221010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 - j - 1. Let p(g) = 5*g**3 - 4*g**2 - 6*g + 3. Determine 4*h(b) - p(b).\nAnswer: -b**3 + 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3 + 1210817*q**2 - 366520057280*q + 366518846464 = 0.\nAnswer: 1, 605408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 24. What is the nearest to -0.1 in j, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 49. Let o be x(-26). Find the third derivative of 379 + 3*r**5 + r**2 - 11*r**2 - 374 + 5*r**o wrt r.\nAnswer: 180*r**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*h**4 - 1\/7*h + 0 - 1\/7*h**2 + 1\/7*h**3.\nAnswer: h*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144453 + -286453. What is q rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.125 - 6.125. Suppose 0 = 2*z + z - 9. Suppose u + z*u - r + 3 = 0, 5*r + 31 = -3*u. Which is the closest to x? (a) 1\/6 (b) u (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/6*48\/(-32). Solve -s = -c + k, 6*c - 9 = 3*c - 2*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -47\/5, 5, 3, -3, -16529?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 11 + 13)*(-x**4 + 3*x**5 + x**4).\nAnswer: 87*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.6 and 0.187.\nAnswer: 2.9172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14492?\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-157 - 61360*w + 61358*w - 87).\nAnswer: 2*w + 244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -5*l + 2, -4*r - 12 = 0. Suppose 0*j - 30 = -10*j. Suppose l*d + j = 6*d. Which is smaller: 3\/5 or d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.47974 + 0.07974. Let m(o) = 4*o + 12. Let h be m(-3). What is the second biggest value in -4, h, s, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23144, -2, 3, 14, 1, 2 in increasing order.\nAnswer: -23144, -2, 1, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2455 - 3?\nAnswer: -2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4738 divided by 23.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13968 divided by -7\nAnswer: -13968\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/36)\/(1\/(-296)). Suppose 135 + m = 17*j. Suppose 24*f - 150 = j*f. Is 49 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30876)\/(-11454))\/(40\/115).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -38. Suppose -4*h + 3 = -3*h. Suppose g - 65 = o, -g - 142 = -h*g - 4*o. What is the remainder when g is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 16*b**2 - 1905*b - 34946. What is i(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = 3*u - 3*c, 4*u + 6 = 2*c. Suppose -4*x + x = u. Let w(g) = -g - 2*g + 2*g + 4. What is w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163540?\nAnswer: 2, 5, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (-4*(sqrt(468) + sqrt(468) + 1)*6)**2 + (4 + sqrt(468)*1 + 1 + 4 + sqrt(468)*1)**2.\nAnswer: 14040*sqrt(13) + 1080798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + s**3 + 0*s**3 - 2*s**2 - 2*s**3 + 0*s. Let z be a(-3). Let i be 42*2*5\/10. What is the greatest common divisor of z and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, 1, -180.\nAnswer: -180, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -197 and 1514.\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 + -119 - (9 - -23).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k**4\/5 - 1132*k**3\/5 + 7708*k**2\/5 + 4872*k\/5 = 0.\nAnswer: -29, -7\/12, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuccbzkk. Give prob of sequence vk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*k = -9*k + 40, -4*f - 7 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158 - -160. Suppose y - 4*n - 575 + 553 = 0, -5*y - 3*n = 5. Determine i so that 6 + q*i**3 - 2*i - 1\/6*i**4 - 35\/6*i**y = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 644*y - 457*y + 411*y)*(-7*y**3 + 7*y**3 + 4*y**4).\nAnswer: -2760*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/1)\/2*1*-27. Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -32*z**2 + 65*z**2 - 35*z**2 - z - 18*z**3 + 4. What is the hundreds digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990999349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 6*c + 5*c - 10*c + 4*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 48 = 6*j, -5*r + 23*j - 18 = 19*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let t = 0 + d. Solve -20 = 4*m - 7*m + 4*v, 2*m = t*v + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4795, 182 in descending order.\nAnswer: 182, -1, -4795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(208)).\nAnswer: 5 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/92 + -1)\/(74\/((-72816)\/(-410))).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21002312 (base 4) in base 16?\nAnswer: 90b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 25*m**2 + 28*m + 45. Determine a(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvvjvjjvjjjjvjvjvj. Give prob of picking 2 j.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/2787?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 4452006*d.\nAnswer: -3*d*(d - 1484002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2072*i + 5607. What is the thousands digit of m(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1352*b - 6722. Determine d(7).\nAnswer: 2742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 + 3*v**2 + 9*v - 15. Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p. Let k(g) = -1. Let m(h) = -h**2 - 14. Let i(q) = -5*k(q) - 3*m(q). Give i(u(c)).\nAnswer: 243*c**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4069 + -4051. Solve 0 = -k + 4*q - 8*q + 26, -3*k + 4*q = f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 3 = 8*d. Suppose -3*q = -d*i - 8*q + 14, 0 = 4*i + q - 13. Solve n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12551365 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1035455 - 1?\nAnswer: 1035454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/w**(-3\/5))\/w)\/w)\/w**(-4\/13))**(-8))**(2\/25) assuming w is positive.\nAnswer: w**(96\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210699338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1961832 - -785652\nAnswer: -1176180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*j + 337 - 1849. What is the smallest common multiple of 24 and j?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49153 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1088) + 4)**2*-5.\nAnswer: -21840 - 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001086453337 rounded to 6 decimal places?\nAnswer: 0.001086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 1.3. Let g be (-4)\/((-10 - -6) + 18). Let u = 6.5 + -6. Which is the third smallest value? (a) u (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*m**3 + 9 - 34 - 18 + 43.\nAnswer: -377*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-14))\/(1\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)*z)**(1\/19))**18*(z\/(z*z**6)*z)\/z**6*((z*z**0*z)\/z)**0 assuming z is positive.\nAnswer: z**(-197\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49154 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*l + 36*l + 210 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4823*x**2 + 10*x - 5. Let t(g) = -2412*g**2 - 4*g + 2. Determine 2*q(v) + 5*t(v).\nAnswer: -2414*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15*g - 1. Let h(d) = 23*d + 2. Give 8*f(a) + 5*h(a).\nAnswer: -5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(2\/5)))**38)**(27\/4) assuming y is positive.\nAnswer: y**(-513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 24775*t**2 + 2158385*t + 46604045 = 0. Calculate t.\nAnswer: -43, 5041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-105))\/((12\/(-60))\/((-1)\/2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 1\/2*u**2 + 2\/5*u**5 - 2\/3*u**3 + 0*u + 0*u**4 - 3 - 1\/6*u**6. What is h in s(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*w + 138 = 6*l - 3*l + 2*l - 116*w, -4076 = -157*l + 3*w for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*u + 3 = 405*u + t, -2*u + 27 = 5*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 906.31 times -2.5?\nAnswer: -2265.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1012 + -536. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -66.9. Is 6.2 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 232747349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 1603971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359857.\nAnswer: 41, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/6 - 4*v**2 - 126*v - 1. What is m(14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 916890 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1) + 6 + 45. Let p be (-18)\/12 + j\/4. Let l = p - 13. Let o(d) = -8*d**2 + 9*d - 4. Let c(b) = 2*b**2 - 2*b + 1. Calculate l*o(y) - 9*c(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -35*s + 31*s, -2*s + 2*x = 0. Sort 7, s, -6 in decreasing order.\nAnswer: 7, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279)\/(-27) + -5 - 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6.4. Let h = l - 0.6. Let z be 18\/(-3)*2\/(-16). Which is the nearest to z? (a) -0.4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/120 + q**5 - 2183*q**3\/3 + 3169*q**2. Differentiate g(p) wrt p.\nAnswer: -3*p**2 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*y + 9*y - 1165, 932 = 4*y - 2*w. Differentiate -168 + 227 + 213*o + y + 32 wrt o.\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3) - ((-47)\/3 - -16)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 2*676\/(-8). What is c rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.772824 rounded to 2 decimal places?\nAnswer: -4.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 25, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6074522 and -139\/4633110?\nAnswer: 273353490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7488, 1, -35?\nAnswer: 7488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/2401 and 9\/245833.\nAnswer: 12045817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 19448351*p. Let h(f) = 33*f**2. Give k(h(z)).\nAnswer: 641795583*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -233. Let k = o - -222.9999763. Round k to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1793*m**4 - 7142 wrt m.\nAnswer: 7172*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -778 and -0.5.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/8029 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, x: 3, r: 3, l: 6}. Give prob of picking 2 b and 2 l.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 124\/93 + (-2140)\/390 - -2*2. Which is the second smallest value? (a) -1\/30 (b) 0.1 (c) -10 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 + 2)*(3 + -4). Let n(d) = d**2 - 7*d - 16. Let s be n(j). Solve -s*q**2 - 16*q + 11*q + 4*q = 0 for q.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 3 + 0*v**2 - 4*v + 3. Let m be x(-3). Suppose -2*b + m = b. Sort b, -0.3, 3 in decreasing order.\nAnswer: 3, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-6) - -4)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -150297 and -300593\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 28*i + 71. Determine h(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 28. Let x be q(14). Let o = 8 - 6. Solve -6 = -x*j + o*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -281*i - 34197. Give a(-122).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + sqrt(539))*3)**2 + -3.\nAnswer: -24303 - 630*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:07 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -188765 divided by 37753\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 61. Suppose i + 239 = -m*g - 250, -2*i = 3*g + 299. Let t = -92 - g. Put t, 4, -14, -5 in descending order.\nAnswer: t, 4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -815, -787, -739, -665, -559, -415, -227?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (1 - -5256))*-1. Let s = -351 + 348. Is (-8)\/(-14) - (s - h\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1)**(-20)\/((s**(-1\/3)\/s*s)\/s)**12)**16 assuming s is positive.\nAnswer: s**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1174*c**2*g**5 - 9*c**2*g - 1861*c**2 + 2*c*g - 55*g**5 + 2 wrt g.\nAnswer: -23480*c**2*g**3 - 1100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**2 + 9*p - 15. Let h be d(2). Let t be 82\/28 - (6 + h\/(-6)). Suppose 2\/7*z**4 + t*z**2 + 0 - 8\/7*z**3 - 4\/7*z = 0. What is z?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -61*r**2 - 3*r - 147. Let w(x) = 141*x**2 + 7*x + 295. What is 7*k(i) + 3*w(i)?\nAnswer: -4*i**2 - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2675*m - 2649*m - 26 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.96542 times -4\nAnswer: 7.86168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-5 + 5 + 5*d**2)*(-5 - 2 + 2)*(-2*d - 2*d + 6*d)*(1 - 1 + 2).\nAnswer: -200*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 - 2*j + 4. Let n(q) = q**3 + 5*q**2 - 7*q - 9. Let a be n(-6). Let r be d(a). Is r != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 32.015. Let x = j - -0.03. Let m = x + -26.815. What is m rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 3:57 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 115*j**6\/2 + j**2\/2 + 278*j - 2202. What is the second derivative of w(v) wrt v?\nAnswer: 6900*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/9*3)\/(26\/(-6) - -4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370 at most 1370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -60982 divided by -30491\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80431607.\nAnswer: 17, 4731271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 434.184985 * -0.1.\nAnswer: -43.4184985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 s, and 1 f when four letters picked without replacement from {l: 2, s: 1, p: 3, j: 4, f: 3, y: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9691083*u - 5039547 wrt u.\nAnswer: 9691083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 376 + -372. Suppose 2*t = w + 19, 5*t - 45 - 22 = -v*w. Solve t + 41 = -13*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*a - 46*a + 11*a**2)*(-2 - 6 + 0)*(2*a**2 - 2*a**2 - 2*a**2).\nAnswer: 176*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r - 17*r + 2 + 27 to the form j + n*r and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(-4\/5))\/(((q\/(q*q**3*q*q))\/q)\/q))**10)**(-2\/59))**(-2\/25) assuming q is positive.\nAnswer: q**(352\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:56 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let c = l - 0. Which is smaller: -1.1 or c?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 1045.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 3\/26 (b) 0.11 (c) -1\/2 (d) -2\/13 (e) -443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 161?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/27)\/(162240\/(-2880)).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -36690*h + 30. Give l(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12.257 - -2625.379\nAnswer: 2637.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/5 - 2*i**3\/5 + 4*i**2\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*c**3 + 3*c**2 + 3*c - 28.\nAnswer: 348*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 7:18 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:36 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1306147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/5))\/(x*x*x*(x*x*x**(-1)\/x)\/x*x))\/(x*x*(x\/(x*x\/(x*x*x**(-8))*x)*x*x)\/x*(x\/(x**(3\/2)*x))\/x) assuming x is positive.\nAnswer: x**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 16*h**2 - 7*h - 13. Is m(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*n**2 - 8\/9 + 2\/3*n.\nAnswer: 2*(n - 1)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8 = -5*w. Solve w*m - 3*o = -m - 7, 0 = 3*m + 2*o + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11041, -43768, -98191, -174310, -272125, -391636?\n\"Answer: -10848*c**2 - 183*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7772 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 438 and 772778?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 + 9*x**2 - 4*x - 4. Let w(o) = o**3 - 5*o**2 - 18*o + 30. Let m be w(7). Let g(r) = -r**3 + 2*r**2 - r - 1. Give m*n(q) - 9*g(q).\nAnswer: 3*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22585, 0.4, -166.2 in descending order.\nAnswer: 0.4, -166.2, -22585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12661, 24695, 36729?\n\"Answer: 12034*q + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.125156 + -0.285439. Let v = -123.84 - -124. Let n = v + q. What is n rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o. Let v(g) be the third derivative of -g**5\/60 - 3*g**4\/8 + 213*g**2. What is c(v(j))?\nAnswer: 2*j**2 + 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11775.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4.7 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*m**2 - 2 + 3 + 571*m**2 + 2*m - m**3 - 1050*m**2 as x + z*m**3 + w*m + b*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.6 + -0.4. Let w = -11729 + 11729. Which is the nearest to 1\/5? (a) w (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1091 + 1091.3. Which is smaller: -88 or p?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 19*x + 397. Give j(-18).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/6 - 17*x**3\/6 + 7*x**2\/2 + 4*x. Let b be u(8). Which is smaller: b or 1\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.7, 1, 3\/8, -0.2?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (9 - 0 - -43)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:41 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from puspuuuuuumuummsmpsp.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j + 9. Suppose -31*n + 58*n + 28*n = 2035. What is the remainder when w(7) is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2056 divide 23798200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8495.662 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 2}. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 2. Let t(i) = 2*i - 5. Let r(p) = -13*j(p) - 6*t(p). Let q be r(-2). Factor -2*s**q + 6*s**3 - 14*s**3 - s**3 + 11*s**4.\nAnswer: s**2*(s - 1)*(11*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/11, -1, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odroooodoooodor. What is prob of sequence or?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*j**2*v**2 - 78768*a**3*j**2*v - 1575*a**2*j**2 + a*j*v**2 - 6*j**2*v wrt a?\nAnswer: 12*j**2*v**2 - 472608*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156772701 or -156772700?\nAnswer: -156772700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/2829680 and 1\/784?\nAnswer: 19807760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.986 + 5.01. Round n to one dp.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9701685, -19403363, -29105041, -38806719, -48508397, -58210075?\n\"Answer: -9701678*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146.678 centuries in years?\nAnswer: 314667.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 3*h**2 + 2*h - 2. Suppose 2*y + 2 = 20. Let t be (-4)\/(1\/(-1))*1. Suppose s - t*s = -y. Calculate c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/21)*(v\/(v**6*v))\/v)\/((v\/(v\/(v\/v**(-4))))\/v**0) assuming v is positive.\nAnswer: v**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.2, -1755?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 6360*x**2 + 41627775*x - 32383352750.\nAnswer: -5*(x - 1295)**2*(x + 3862)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = 0. Suppose z = -m + 2. Suppose 0 = -w, 0 = -0*d - d - z*w + 7. What is the least common multiple of 8 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 112 (b) 7 (c) -13 (d) 0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let q = 164 - 1150\/7. Which is the nearest to q? (a) -2 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8775333cm in nanometers?\nAnswer: 8775333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/1646 + -65015\/3292. Calculate the common denominator of l and 4\/14 + 690\/(-112).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32413 is divided by 145?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1488 + 10424\/7. Which is the closest to -2\/5? (a) k (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 3. Let q be d(5). Let y be (((-3)\/(-14))\/1)\/((-12)\/(-16)). What is the closest to y in q, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 426 in descending order.\nAnswer: 426, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 1 + 8 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -6\/11, -5, 1\/4, -24.836?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001618058488 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 739 - 843.9. Let k = g + 105. Which is the fourth biggest value? (a) 0.5 (b) k (c) -4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4*sqrt(180)\/sqrt(3))\/sqrt(12))**2.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7098157 to the nearest 10000.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14687711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15133784*w**4 + 38*w**2 - 2*w - 441488?\nAnswer: 363210816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6320.33 - -6387. Round b to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143954 and 27054.\nAnswer: 11660274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -290051 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-30)*-3*(-8)\/(-36).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 - 92 = -26*t + 66. Solve 3*d - 52 + 55 = -n, 3*n - t = 2*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280604 is divided by 1042.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -162, -238, -312, -384?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1.3, 46, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from waalwwlwwaaalwwwa?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k + 281 - 489. Solve 8 + 24 = -k*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 40\/(-5 + -3) + 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47a192 - -34b?\nAnswer: -479a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -91\/3?\nAnswer: -91\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t**2)*((-1 + 3 - 1)*(26 - 6 + 38)*(2*t + 3*t - 4*t) + (-5 + 2 + 1)*(4 - 2*t - 4)).\nAnswer: -124*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 at least 378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from oojjjjoojojo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-70)\/10 - (-78)\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 295.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 14. Let v be p(-11). Let n be -1 - v - (-1 - -1). Let w(y) = -3*y**3 + 2*y**2 + 2*y - 4. Let t be w(n). Is t smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 120 = 5*f. Let h be 18*(-40)\/84*-7. What is the highest common factor of h and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 21030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 1350, 1365, 1388, 1419, 1458?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4\/463 (b) -1\/3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(54)\/sqrt(3)*-6)\/(4*1*sqrt(9)) + -2)*-6.\nAnswer: 7 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, m: 6, k: 1, i: 6, l: 1}. What is prob of picking 1 d and 1 m?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (10 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -5 - (-90 + -57 + 1)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-253)\/(-99) - 4\/9. Which is the closest to -0.1? (a) -3.1 (b) 0.2 (c) 4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -77217, 4, 0.3?\nAnswer: -77217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -3, -0.2, 3\/5, -5.\nAnswer: -139, -5, -3, -0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 10 - 18. Suppose -w*o + 46 = 2*u, -5*u - 43 = -4*o + 38. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Suppose 567*b = 676*b - 218. Let c(w) be the third derivative of 0*w**3 - 1\/2*w**4 + 0 + 0*w - 28*w**b. Give c(v(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 - 2*w + 2*w - w**2 - w + w + 0*w**2 + 2*w**2 + 0*w**2 + (1 + 2*w - 1)*(w + w + 0*w) + 23*w**2 - 20 + 20.\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11.1 times -24\nAnswer: -266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*b**5*l + 758*b**2*l**2 - 4*b*l - 4236*l**2 wrt b.\nAnswer: -960*b**3*l + 1516*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 136.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 13. Suppose 3*u = 2*s - 0*u - 74, 3*u + 142 = 4*s. Suppose 4*v - z = s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*h**3 + 3130*h**2 + 27215*h - 19530.\nAnswer: -5*(h - 217)*(h + 9)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m = -291. Let j(i) = -45*i - 251. Calculate the remainder when m is divided by j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose 0*l = -u*l - 18. Let y = l - -12. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 + 2*s**5 - 5*s**5 + (3*s**3 - 4*s**3 + 5*s**3)*(-4 + 4 - 2*s**2) + 2*s**5 + 8*s - 4*s + 0*s**5.\nAnswer: -7*s**5 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15048208561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188764 is divided by 97.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 7*m**5\/60 + 11*m**4\/24 + 7*m**3\/6 + 18*m**2. Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*r**2 - 73*r**2 + 363*r**3 + 14 + 27*r**2 + 23*r**2 - 13 to the form s*r**3 + p*r**2 + h + g*r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -56, -98, -156, -236?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k - 30*k = -112 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174928956 is divided by 547.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 59*j - 67. Let n be v(7). Suppose 22 = -4*q + n. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/45)\/((-131)\/21615)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -160136245 and -159.\nAnswer: -160136404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18\/5 (b) -0.1 (c) 0.2 (d) -2\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*u + 222 - 247, 5*u = v - 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*t - 21 = 8*t, -4*a = t - 15. Solve -4 = -a*s - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.028515 + -202.338515. Round c to the nearest integer.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4827 + -4825. Solve -q = 5*y - v + 1, -2*y = -5*q - 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3252718kg in nanograms?\nAnswer: 325271800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 13 + 19934*z - 6 + 0.\nAnswer: 19934*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/493?\nAnswer: -3\/493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -748, -1716, -2686, -3658, -4632?\n\"Answer: -h**2 - 965*h + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/35*7\/(-8)*28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 4*q**2 + 4*q - 1. Let m be g(5). Let s(c) = -c + 1. Let h(f) = -f**2 - 3. Let z(o) = m*s(o) + h(o). Factor z(n).\nAnswer: -(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 37399589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4959 is divided by 423?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -11, -3 in decreasing order.\nAnswer: 5, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35711, -35713, -35715?\nAnswer: -35717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((276\/(-8))\/(-3))\/8 and ((-1)\/(8\/95))\/(3\/(-4)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 53632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 0*m - 3\/2*m**2 - 1\/4*m**3 - 236. Factor i(a).\nAnswer: -3*a*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 222467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797038 is divided by 6871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2098*y - 6662*y + 2204*y - 2 - 897*y - 4193*y.\nAnswer: -11646*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12082 and 799138.\nAnswer: 5593966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*y + 49833 - 50067 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187961.\nAnswer: 101, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 1\/2*r**6 - 2\/3*r**3 - 1 + 0*r**4 + 0*r**2 + 0*r**5 + 0*r. What is the third derivative of g(b) wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -185.5, -11\/3.\nAnswer: -185.5, -11\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*w - 16*w**3 - 3 + 185*w - 93*w + 2*w**2 as d*w**2 + a + y*w**3 + r*w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/23 or -134807?\nAnswer: -134807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 363 - 53. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/50)\/(15\/6)*(10 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-437 - -488) + 3 + 3 + -5.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 10*p - 5. Let l be n(6). Suppose -l = 2*g - 3*g + 5*w, -4*w = 2*g - 224. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.031? (a) -168 (b) -0.1 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-40 - -23 - -34).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7\/1013, -1, 639?\nAnswer: 7\/1013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.83 - 4. Let n = o - 0.01. Let c = n - -0.1748. Round c to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*l + 2*l. Suppose -2*g = -7*g - l*k + 25499988, 0 = -3*g + 4*k + 15300012. Round g to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 2*x**2 - x. Let h(y) = 3*y**3 - y**2 - 6*y + 20. Let a(g) = 2*b(g) - h(g). Factor a(t).\nAnswer: -(t - 5)*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 - 6 = 0. Let f be -4 - (3 - -25)\/h. Suppose f = 2*b - 104. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose 0 = 4*d + 4, -2*d + 9 = -4*o + d. Let i be 13\/(-4) + -1 - o. Which is the second biggest value? (a) i (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -0.5, -0.2, 7\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1534003 and -0.28?\nAnswer: 429520.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1702920 and 338733.\nAnswer: 311634360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7713024 and 23808.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (21 - 18) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxuuuuxuuuuuuuuuuuuu. Give prob of picking 4 u.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.2169 + 0.0169. Let a = l - -45.20000183. What is a rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1347 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ea53 - -5?\nAnswer: -4ea4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 91884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (5 - (-6 - -13)) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, u: 5, m: 1, o: 7, l: 5}. Give prob of sequence pl.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 8. Suppose -x + 5*x = l. Suppose 6*d - 20 = x*d. Solve -d*v = 1 - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.7, -1, -3, -0.5, -17?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 663, 7, -2, 2, 11 in decreasing order.\nAnswer: 663, 11, 7, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/6, -1, 31, 0.3, 0.5, -4\/5 in ascending order.\nAnswer: -1, -4\/5, 0.3, 0.5, 11\/6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11 + 2*o - 6 + 17. Let c(t) = -5*t. What is c(w(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3546)\/(-18912))\/(((-6)\/20)\/((-12)\/(-10)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*z = z + 33, 0 = -3*q + 4*z + 89. Let x = 47 - q. Calculate the greatest common factor of 112 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 24. Calculate p(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 416*v + 1258. Calculate the lowest common multiple of 2280 and p(-3).\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*7\/(-42)*-674?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, g: 1, q: 5, f: 5, v: 3, e: 1}. What is prob of picking 1 v and 1 g?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -5\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6*a - 11 - 88 - 17*a.\nAnswer: -11*a - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*q - 1. Suppose 0 = -5*p + 7*p. Suppose -2*m - q + 17 = p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 58, 210, 506, 994?\n\"Answer: 8*l**3 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 20. Let x(o) = -o + 8. Let v be x(k). List the prime factors of ((-46)\/v)\/(9\/(-27)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 5*d**2 - 2*d - 2. Let v be j(3). Is v < -4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Suppose 0 = 4*s - 3*v - 71, -m*s = 2*s - 4*v - 89. Solve -5*o - 3*a + s = -3*o, 5*a - 30 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2832428236 = 422*c - 304007850. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 185*u**2. Let q(p) = 4413*p**2 - 1474*p**2 - 1468*p**2 - 1475*p**2. Calculate q(d(v)).\nAnswer: -136900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 4*v + 2. Let j be o(4). Let y = -6 - j. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.3*-4\nAnswer: -105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1567*o. Let l(i) = 61094*i. Give z(l(j)).\nAnswer: -95734298*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1116)\/(-6) - (-4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -32 + 4. Let a = s - 11. Solve 0 = c + 2*c + w - 3, 3*w - 3 = -a*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 547 and 810654.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445625 divided by 713.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y - 60. Let r be l(-22). What is the greatest common divisor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12.609848843 from -44.2.\nAnswer: -31.590151157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.8 and -1707.\nAnswer: 16728.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63476 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407915771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1526 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2905 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 801639520 divided by 454960?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -637, -217, 483, 1463, 2723, 4263, 6083?\n\"Answer: 140*q**2 - 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxb. What is prob of picking 1 x and 2 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f = 23*f + 6437. Sort f, -7, 2 in decreasing order.\nAnswer: f, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46314 + 46297 = -2*w - 5*c, -50 = -8*w - 2*c for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357730?\nAnswer: 2, 5, 11, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42051193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 + -1) - 2. Suppose w = -3*g + 33. Let c = -6 + g. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 133 = -29*r. What is the least common multiple of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17373 is divided by 4340.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.8 - 31.5. Let r = 28.2857 - m. Round r to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (35*3)\/(-2 + (-105)\/(-45))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3363 + 3352. What is the fourth biggest value in 2\/23, -0.5, u, -3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -176, 1 in decreasing order.\nAnswer: 8, 1, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-16) - (-54753)\/72) + 8. Which is greater: 768 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1410*n - 1506*n + 5568 = 0. Solve -n*s + 5 = -59*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.1 + 53. Let b = j - 1.1. Let k = 2 - b. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-5)*((-7)\/4)\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -917 + 20 = -13*y. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/7)*f\/(f*f**(-2\/5)*f))\/(f**(2\/3))**31 assuming f is positive.\nAnswer: f**(-2323\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(242) - sqrt(242)*-4)**2 + 2 + 3.\nAnswer: 15493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.1. What is the nearest to -0.1 in p, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110485194.\nAnswer: 2, 3, 18414199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-9 + 27 - (-10 + -4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -32*n - 145. Let r be (5\/40)\/(1\/(-2)). Let u = -0.1 + 0. What is the closest to r in 0.5, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwccwcccccc. Give prob of sequence wcc.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3517 is divided by 543.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 - (-19 + 73 + -38) - (-8 + -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -11\/41 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 78, 178, 318, 498, 718?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c - 15. Suppose 0 = -4*j + 4*x - x - 205, 155 = -c*j + 2*x. Let h be (-2)\/11 - 10\/j. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*s**2*x + 137*d**3*s**2 + d**3*s - 4*d**3*x - 2*s**2*x - 2*s*x - 4*x wrt s?\nAnswer: 2*d**3*x + 274*d**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 28 = -44. Suppose 12 = -m*i + 28. Which is smaller: 18\/17 or i?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 10:57 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6914*u + 74330 = -6904*u. What are the prime factors of u?\nAnswer: 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1278*j**3 + 7*j**2 + 16*j - 4. Suppose -55 = -0*s - 5*s. Let w be q(s). Let h be w\/(-1) + -4 + 5. Round h to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.6.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b - 15. Let d be i(9). Suppose -r + 40 + 8 = -4*y, 4*y = 2*r - d. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.99002 - -37. Let u = -0.02 + 0.01. Let k = u + a. What is k rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = v + 5, v - y = 7. Let g = -8 + v. Suppose g = 2*p + i, -4*p + 7 = -3*i - 21. What is the second biggest value in 0.4, p, -1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from qfxqxchk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4851 + -2991. What are the prime factors of a?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 10 = -14. Which is the third smallest value? (a) 2\/3 (b) -11 (c) r (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -5, 1\/3, 26.57 in decreasing order.\nAnswer: 26.57, 1\/3, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1465070 (base 9) to base 8.\nAnswer: -3057327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let f(z) = 249*z**2 + 241*z**2 - 474*z**2. Give f(t(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2201 = 5*w - 4*n, -2*w - 3*n + 1299 = w. Calculate the greatest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8024 * 637\nAnswer: -5111288","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -834350 divided by 28?\nAnswer: -417175\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*h + 1 = -11, 4*h = 0. Suppose -c + 2*d + 11 = 0, c = 4*c + l*d - 63. Calculate the greatest common factor of c and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*u + 5*u + 19, -2*z - 4*u = 20. Let m = 1 - z. Solve 4*r - m = -r + 5*a, 4*a - 17 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714320.768 rounded to the nearest one hundred?\nAnswer: 2714300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -270556 divided by 10406?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 10*x - 4. Let h be 63 + 2 + (3 - (3 + 1)). Let w = 54 - h. Calculate z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 75 = -4*o. Suppose 5*i = o*b - 12*b + 4545, 922 = i + 3*b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4416 - -44610756\nAnswer: 44615172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*h + 158*h + 192*h**2 - 91*h.\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 84 = 70. Let l(v) = v - 6. Let g be l(u). Solve 0 = 2*w - d - 4, -g*w - 2*d - 5 = -6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12396642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, and 1 z when three letters picked without replacement from {h: 2, p: 1, q: 1, z: 1, k: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i - 78. Let c = i - -42. Let z(g) = -g**2 - 6*g - 5. Let v be z(-6). Sort v, 4, c in descending order.\nAnswer: 4, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753363.\nAnswer: 3, 13, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**2 + 14*x + 7. Let y be h(-6). Let m(r) = r**3 - r**2 + 4*r - 3. Give m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(343) + (sqrt(343) - (-1 + sqrt(343))))*-2)**2 - (sqrt(343) + -1)*-6).\nAnswer: 98*sqrt(7) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1275*z + 1261*z + 210 = 0. Suppose 0 = -5*q - 2*r + 26, -5*q + 8 = -r - 3*r. Solve z = u - q*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14902*n**3 + 4*n**2 - 2777*n - 1.\nAnswer: -89412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2519*(21 + 1)\/(0 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1. Let d(l) = -27*l - 36. Suppose -79*m + 3780 = 26*m. Calculate m*i(o) + d(o).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4638911*w - 4638919*w - 1.\nAnswer: -8*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10003 is divided by 9062.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*l**3 - 2*l**2 + 7 - 2290*l - 3*l**4 + 2250*l to p*l + t*l**4 + h*l**2 + r + q*l**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/3 - 478*d + 16016\/3 = 0.\nAnswer: -728, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from porowrovoowr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2 + 25*h + 7*h**3 - 3*h**2 + 2*h**3 - 44*h + 0*h**2 wrt h?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.82 in 1\/9, -1, 2\/11, -0.3, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16035.\nAnswer: 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 117. Let j(q) = 200925 + 2*q**2 - 200925. Determine r(j(u)).\nAnswer: -4*u**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - -2*sqrt(156))*4 + -2*1*sqrt(156))\/(sqrt(192)*-5).\nAnswer: -11*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - 8) - -11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36465556 to the power of 1\/2, to the nearest integer?\nAnswer: 6039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10515238 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15254000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, r: 1, m: 1, n: 8, w: 1}. What is prob of picking 1 w, 1 o, 1 n, and 1 r?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7689431 is divided by 768936.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - v**4 - 1)*(-1 + 3 + 1) + (-7 + 7 + 3*v**2)*(-2*v**2 + 3 - 3).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/9 + 52*s\/9 - 814\/9 = 0?\nAnswer: -37, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 338*n + 334*n - 28, 10 = 2*p - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3. Let b(y) = y - 1. Let o(l) = 2*b(l) + k(l). Let g be o(-3). Let q(c) = -c - 3. Let r be q(g). Solve -r*z + 3 = p - 3, 4*p - 2*z = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 11*d**2 - 14*d + 9. Let j be k(12). Let r be 5\/j + 2\/3. Which is the smallest value? (a) r (b) -1 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3072*s. Let f(a) = 2*a**2 + 7*a. What is m(f(c))?\nAnswer: 6144*c**2 + 21504*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2344*g - 21392 = -87024. Factor 96\/5 + g*x - 6\/5*x**2.\nAnswer: -2*(x - 24)*(3*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by (-310)\/(-7) + 7 - 2\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((2*sqrt(99) + 4 - (sqrt(99) - (5 + sqrt(99)*-1))) + 2))**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -2 + 0)*-1. Suppose 6 = -z*g + 7*g. Let n be -3*(1 - 5\/g). Solve -3*i + 3 = 0, 7*i - n*i = -3*q + 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*6)\/(2\/3). Let x = o + -13. Let j = x - 3. What is the least common multiple of j and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/3 + -3 + 0. Let z(q) = -q + 1. Let f(a) be the first derivative of 2*a**2 - 6*a + 1022. Give c*f(g) - 8*z(g).\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s + 13*s + 2*s**2 + 18*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 20, -22, -80, -154, -244?\n\"Answer: -8*u**2 - 2*u + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(129\/(-6) + -1). Let t = j + 161. Let u = t - -137. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4197355\/6 or -699559?\nAnswer: -4197355\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291978 (base 10) to base 11.\nAnswer: 18a405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 5. Let c be v(0). Let g be (-1*(-4)\/(-10))\/(-2 - -3). What is the closest to -1 in g, 1\/4, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*j + 27 = 0, j - 24 = 2*u - 6. Let i = u + 7. Let l = i + 2. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 + 3*v + 2. Let k = 30 - 31. Let t be g(k). Let x(m) be the first derivative of m**2 + 6*m + 1. Give x(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4030, 4029, 4028, 4027, 4026, 4025?\nAnswer: 4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3575\/429*((-18)\/5)\/(-2). Solve k + 2*m - x = -4*k, 0 = -2*m + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -20. Let c be ((-336)\/p)\/(-4)*1. Suppose x + 134 = 4*l - c, 5*x - 105 = -2*l. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 407073\/44 - 9251. Let a = s - -1\/11. Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165633787*h + 2*h**3 - 165633787*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**5\/20 + 2*s**4\/3 + 5*s**3\/6 - 3*s**2\/2 + 2*s + 138. Calculate r(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(2772\/2136) - 16)*2. Find q such that 2\/11*q**3 - 2\/11*q + l*q**2 - 4\/11 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3189 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154204*r - 154204*r + 2*r**4 - 5*r**2 + 1 to the form w*r**4 + m + g*r + o*r**2 + a*r**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 - -112. What is the nearest to -2 in -1, n, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/60)\/(((-4)\/(-15))\/2). Is 24 a factor of (34 + j)\/(-4 - 26\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.354244l to millilitres.\nAnswer: 1354.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/8 + 3*f**2\/2 - 10. Let l(m) be the second derivative of y(m). Let z(a) = 2*a**2. Give z(l(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2.283123, -4 in decreasing order.\nAnswer: 2.283123, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579260.\nAnswer: 2, 5, 11, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1236 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 4}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**5\/60 + f**4\/4 - 5*f**3\/6 + 9*f**2. What is r(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**3 + 81*i**3 - 128*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-27 - -13)) + 29 + -33 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 3a?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000505957 to 7 decimal places.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.493 + -7.4889144. Round z to 5 decimal places.\nAnswer: 0.00409","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, y: 2, x: 3, j: 3, m: 4, p: 4}. What is prob of sequence myxj?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - f = -5, -130*p + 14 = -128*p + 3*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 6. Let l be v(2). Suppose -270 = -5*a - 4*i + 315, 2*i = l. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u**2 + 9*u + 7. What are the prime factors of a(-6)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 219, 214, 209, 204?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68295 divided by 22765.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**8\/336 - 8*t**7\/35 + 49*t**4\/24 - 42*t**2. What is the second derivative of i(l) wrt l?\nAnswer: -20*l**3 - 576*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.953 + -48. Round d to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 - 6*j. Let y be q(6). Let n = 3 + y. Let g be (n\/78)\/(1\/4). What is the closest to -1 in -0.3, g, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (115\/15 + 5)*(-1)\/(-4)*90. Solve 286*u - q*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -7\/2*r**2 + 17 - 9*r - 4\/3*r**3. Let y(a) = -3*a**2 - 5*a - 6. Determine 5*j(o) - 7*y(o).\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or 208331?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 305429.336844.\nAnswer: -305429.536844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576235889 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: Let j = -2.7 - -10.7. Let a = 0.13 + -8.13. Let u = j + a. What is the nearest to u in 1, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let j(p) = 7*p**2. Let h(v) = 42*v**2. Let l(y) = 6*h(y) - 35*j(y). What is b(l(a))?\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - w + 5, -c + 20 = -3*c + 4*w. Suppose -5*y + 0*r - 3*r + 297 = c, 2*y - r = 121. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(-l**2 + l**2 + 10*l**2 - 2*l**2) in the form g*l**2 + c + k*l and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324201.\nAnswer: 3, 53, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 + 4 - 4 - 2*f**2 - 2*f**2 + 2*f**2 + (-5 + 2 + 4)*(0*f**2 - 2*f**2 + f**2))*(-4 + 5 + 1) to the form j*f + o + z*f**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159850.7 + -7994681.\nAnswer: -8154531.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (38\/5)\/(-2*(-5)\/750). Let u be o\/16 + (-6)\/(-16). What is the greatest common factor of 612 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r = 24. Solve -r = -4*h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10 + (3 + 6 + -2 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/7)\/d*d**(-7)*d)\/(d**(-6)\/(((d*d**6)\/d)\/d))*((d**(2\/7))**(-3\/5))**(19\/2) assuming d is positive.\nAnswer: d**(108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 1 q when three letters picked without replacement from iicvccqcnaqian?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 335*r**2 + 690*r.\nAnswer: -5*r*(r - 69)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -15 - -34 - 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.4 rounded to the nearest integer?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1242649268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 5*t - 3*t)*(-2 - 2 + 2) - t + 0 + 0 + 5 + 4*t - 5 as r*t + q and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465 take away -0.7?\nAnswer: -1464.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/9 (b) 0.5 (c) -2\/15 (d) -5 (e) 149\/74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8)*p*p*p**6)**(-4\/13))**(-1\/4) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((36\/9)\/(-8)). Let g = w - -1. Sort -18, 6, g in descending order.\nAnswer: 6, g, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/2 of a century?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*a**4 + 10*a**2 - 10*a**2 + (0 - 3*a**3 + 0)*(-3*a + 4*a + 0*a) - 2*a**4 + 4*a**4 - a**4.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/6 + y**2. Suppose -10 = 5*l - 20. Let z(f) = 7*f**2 + 20*f**2 - 25*f**l. Calculate z(s(k)).\nAnswer: 200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321466125 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - 4 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -6 + (6 - (-86 - (4 + -16))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)\/(j\/(j\/(j**(-9)\/j*j))))**(-44)*((j**3*j)**(-3\/7))**(-46) assuming j is positive.\nAnswer: j**(-28244\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 + 3*m - 6. Let y be l(-5). Is 24 a factor of (-2)\/(-1 - -3) - y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*a*u**4 - a*u**3 + 14*a*u**2 - 28*a - 2*u**5 - 3*u**3 wrt u.\nAnswer: 2712*a*u - 6*a - 120*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/444 and -67\/72.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 - -301. Let j = y - 8. What are the prime factors of j?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 38 - 14. Find the common denominator of ((-6)\/9)\/(8\/d) and 4\/78*(-136)\/32.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.05 - -8. Let v = -0.15 + q. Are 1\/4 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6 + 4. Let v(c) = -5 + b - 4*c + c. Let o(d) = -2*d. Let z be o(1). Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 5919995 = -5*r, 1479997 = o + 3*r. Suppose c + c = -o. What is c rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h - h)*(-3196 + 5955 - 2955)*(-2 + 7 - 1).\nAnswer: 1568*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 45*r**2 + 3*r - 2. Let q(j) = -13*j**2 - 2*j + 1. Let u(g) = 2*q(g) + t(g). Let z(n) = -48*n**2. Give u(z(w)).\nAnswer: 43776*w**4 + 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 6, i: 4, t: 3}. What is prob of picking 1 i, 2 a, and 1 t?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.2 - 9. Let h = g + 10.4. Let j = h - -0.4. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -8, -6, -19440 in ascending order.\nAnswer: -19440, -8, -7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 + -1 + 1) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28691 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/15 + 2\/(-2). Let u(l) = 2*l - 21. Let h be u(11). What is the nearest to 2\/5 in h, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8400205 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -719 in 2\/9, 2\/53, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278955 (base 10) to base 3.\nAnswer: 112011122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = x - 5*q - 14, x - q - 9 = 0. Suppose x*h - 142 - 813 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -6*i + 13*i. Does 32 divide ((-812)\/10 - 2)\/((-1)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3745?\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - 1 - (-41 - -35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*h - 9, -3*f = -0*h - 4*h - 5. Let t be 90\/2 + 2\/f. Suppose -3*b - 4*n + t = -2*n, b = 3*n + 18. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180323 is divided by 3056?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 177385*w**2 - 177398*w - 2128632.\nAnswer: (w - 4)*(w + 3)*(w + 177386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/238)\/(6\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 - -987. List the prime factors of (-8)\/(-28) - c\/(-21).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104275591 rounded to the nearest ten thousand?\nAnswer: -104280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -792 >= 8020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-827*f**4 + 324 - 324)*(-4*f + 4*f + f) + (0*f**2 + 2*f**2 + f**2)*(-f**3 - 4*f**2 + 4*f**2).\nAnswer: -830*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 30. Let m be z(10). Solve 0 = -y - m*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:40 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5 - 170*b**4 + 4920*b**3 - 34090*b**2 + 79321*b - 49980 = 0.\nAnswer: -196, 1, 3, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-13)\/h)\/h))**(-1\/45)\/(h\/((h*h**(-7)*h)\/h))**18)**(1\/19) assuming h is positive.\nAnswer: h**(-5686\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3690\/110)\/(-41))\/((-7)\/(70\/15)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-88))\/(4\/(-11)). Which is the nearest to -0.15? (a) 0 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -253880, 0 in increasing order.\nAnswer: -253880, -49, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*w + 2*w. Let q = -13 + w. Suppose q + 6 = 2*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-three thirds of a minute?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14 = 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 115*u**4\/2 + 1079*u**3\/6 - 12*u - 13. Find the second derivative of p(o) wrt o.\nAnswer: 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*k - 923*k + 492*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*q - 1404, -23*q + 1398 = 4*z - 21*q. Is 35 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -30*s - 79. What is p(-6)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from giqdyvdi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16570 is divided by 224?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 853636 divided by -30487\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*h**2 + 0 + 2\/7*h.\nAnswer: 2*h*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r + d + d, -3*r - d + 14 = 0. What is the remainder when 12 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 17*o + 3. Let z be w(17). Suppose -z*l - 95 - 37 = 0. Let r = 236 + l. What is the remainder when r is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -38*k + 18. Let s(a) = 78*a - 33. Calculate 7*h(j) + 3*s(j).\nAnswer: -32*j + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 21*c - 20. Let v be r(20). Round v to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7435945 years?\nAnswer: 0.07435945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -917 and 0.131?\nAnswer: -120.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259889\/60 - -17317\/4. Let n = -49758 - -2487787\/50. Calculate the common denominator of n and l.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0836486572 to four decimal places.\nAnswer: 0.0836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 128 = -25*f. Suppose 352 = z - l, f*z - 5*z - l - 699 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/6*-1)\/((-11)\/(-2)*74\/(-2442)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*5)\/sqrt(2).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z + 810. Let y(o) = 9*o - 541. Give 5*k(b) + 7*y(b).\nAnswer: -2*b + 263","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*w - 6 = -104*w. What is the second biggest value in 17, 0.1, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 704 + -5?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.013818527 + 5?\nAnswer: 21.013818527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10985\/9 + -1221. Let c = 4.06 - 0.06. Sort -1, -4, r, c in ascending order.\nAnswer: -4, -1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 + 5*v**4\/6 - 5*v**3\/6 - 27*v**2\/2 - 425*v - 1. Determine a(10).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l = 142*l - 10908. What is the remainder when 605 is divided by l?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(971*w - 1936*w - 258 + 963*w)*(-13*w**2 + 203 - 203).\nAnswer: -26*w**3 - 3354*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -2.9. Let a = v - -0.6. Let b be 8\/6 + (-3)\/9. What is the third biggest value in b, -2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1350, 1329, 1294, 1239, 1158?\n\"Answer: -k**3 - k**2 - 11*k + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1107 - -1095.2. Which is the closest to 0.1? (a) -1 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2067 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 63. What is the closest to -1 in 2, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1536 (base 7) to base 3.\nAnswer: 211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-52) + 197\/(-13). Let f = -20 - h. Let v = f + 9. Solve -2*i - 2 = -v*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 65*v**2 - 4*v - 72. Let y(b) = -64*b**2 + 3*b + 72. Let f(l) = -l. Let p be f(4). Let z(m) = p*y(m) - 3*g(m). What is the derivative of z(q) wrt q?\nAnswer: 122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-2))\/((-3)\/(-6)). Suppose -3*n - 5 = u, n - s = 3*u + 5*n. Let x(v) = 9*v**2 - 1. Determine x(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4121808*x**2 - 4121808*x**2 - 12361*x**3 + (3*x - 3*x + 2*x)*(x - x - x**2).\nAnswer: -12363*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1450 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 231 = -61*o + 64*o, -154 = -2*o + f. What is the remainder when 220 is divided by o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/360 + f**5\/20 - 7*f**4\/24 + f**3 - 26*f. Let g(d) be the second derivative of t(d). Calculate g(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -1, -1817, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659 + 1309 + 9*g - 650.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -40. What is the common denominator of -39\/40 and 1 - ((-53)\/n + -4)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*w - 9 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m + 8*m - 44. Solve -m*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 1:08 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/7, -1\/33, 5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85347.351 microseconds in days?\nAnswer: 0.0000009878165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let y be (2\/6)\/(10\/60). Let w(m) = -37 + 37 - 7*m**y. Determine w(c(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5297 + -100)*8\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 10*p. Let j be u(6). Let l be j\/(-54) + 1130\/18. Calculate the greatest common factor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 192 - 132 - 156 + 153.\nAnswer: 2*b - 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*o**3 - 473*o**3 - 278*o**3 + 932*o**3.\nAnswer: -254*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153638153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43, -157, -341, -595, -919, -1313, -1777?\n\"Answer: -35*z**2 - 9*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287.9692875315 + -2.9692860415. Let c = -285 + g. Round c to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - l)*(-l**2 + 0*l + 0*l) - 1 - 206*l**2 + 97*l**2 + 105*l**2 + 3*l + 2*l**3.\nAnswer: 3*l**3 - 4*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83189 and 48503.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*v + v - v.\nAnswer: 3*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 8*k - 19*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 544488 by -25928.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 85 - 315 = 0. Suppose -2*k - g + 7 = -18, 39 = 3*k + 2*g. Let n = t - k. Calculate the lowest common multiple of 15 and n.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 5*r. Suppose -z = -5*n - 28, r = 4*z - 2*n - 3*n - 37. Suppose -g - i - 5 = -z*g, 2*i = -3*g - 3. Which is greater: 3\/10 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o - 410. Determine q(-36).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250634 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/13)\/t**(-5))\/(((t\/(t\/(t\/(t**(-1)\/t*t))))\/t*t)\/t**(-7)))**(-41) assuming t is positive.\nAnswer: t**(2091\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**4\/s)\/s*s*s**3*s*s)\/((s\/(s\/s**(-6\/5)))\/s**(-1\/6)))\/(((s**(-2\/17)\/s)\/s)\/(s*(s\/((s*s*s**(-5\/2)*s)\/s))\/s)*(s**(-1))**(1\/9)) assuming s is positive.\nAnswer: s**(9763\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exexexxxxxxxuze. What is prob of picking 1 e and 3 x?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*y = 362, 2*j - 5*y = -26 + 370. Let m = j - 96. Let n(t) = t**3 + 7*t**2 - t + 5. Calculate the remainder when m is divided by n(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/175 and -68\/175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = i + d + 4*d, 0 = -3*i + 5*d - 1603. Let a = i - -587. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6075565?\nAnswer: 5, 23, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + c)*(-15*c + 21*c - 108*c).\nAnswer: -102*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + 3129?\nAnswer: 313e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b - 4*z = -4668, 0 = -4*z - 8. Suppose 8*q = 3*l + 7*q - 863, 4*l = 5*q + b. What are the prime factors of l?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 79*g - 455. Suppose -200 = 3*k - 8*k. What is the remainder when k is divided by i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249864547 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -57.03. Let j = f + 0.13. Which is smaller: j or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -t + 2, 0 = 3*o - o + t - 2. Suppose l + 5*l - 36 = o. Let x(w) = 6*w**3 - 13*w + 13. Let k(r) = 3*r**3 - 6*r + 6. Calculate l*x(y) - 13*k(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6764, 6812, 6860, 6908, 6956?\nAnswer: 7004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -371000 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from dcfdkdccddkcddddd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166.6 or -170\/7?\nAnswer: 166.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15 - -4) + 1*3. Let r(j) = -3*j - 2. What is the remainder when 87 is divided by r(g)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -434 + 899. Calculate the greatest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -3*(-6)\/9. Suppose j*i - 12 = -4*i. Let r(h) = -h**3 + 4*h**2 + h - 2. Let k be r(4). Solve -5 = -i*w - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 3*v + v + (7*v + 3*v - 5*v)*(1 + 0 - 3).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50759 - 51788 + 102547 + 56*j.\nAnswer: 56*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 576, -4 in increasing order.\nAnswer: -4, -3, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.8574 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 11. Let p = -10 - -18. Let f be w(p). Let u(h) = 3*h**2 + h - 4. Let j be u(f). What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-615)\/(-574))\/((-12)\/14)*1\/(-5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + 19*u + 25993. Calculate i(83).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 827931.3m?\nAnswer: 827931300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937855447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 5*j, -2*j + j + 4*q = -10. Suppose 0 = -3*v - z + 25 - 2, 28 = 3*v + j*z. Solve -2*c = -s - v, 5*c - 5 = -s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 - 6214039*u - 6214040 = 0.\nAnswer: -1, 6214040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1307.996 to the nearest integer.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3 - y**2 + 16*y - 20 = 0 for y.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*h = -3, -j = -3*j - 5*h + 6. Calculate the least common multiple of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 21*j - 26. Determine g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 14 - 2. Let z(j) be the third derivative of -j**6\/120 + j**5\/30 + j**4\/8 + j**3\/6 - j**2. What is the lowest common multiple of 6 and z(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2178014 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -40*o + 36*o - 2*k - k, -2*o - k - 139 = -17*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337756639 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: What is 3522.577 millilitres in litres?\nAnswer: 3.522577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*230365.\nAnswer: -1151825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(15\/(-10)))\/(4\/8*-84).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182 and 10?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 341 + s**3 - 885 - 576*s - 310 - 72*s**2.\nAnswer: -3*(s + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-3370)\/(-2022)*(-2)\/25?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011 + -1?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (16 + 10 + 2 + -34 - (-23 + 1))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r + 5. Let a(l) = 1 - 5*l - 4*l**3 + 3*l**3 + 4 - 6*l**2. Let n be a(-5). What is the tens digit of v(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8927006*z**3 + 5892551*z**2 + 2 wrt z.\nAnswer: 53562036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 636236 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 126*b**2 + 388*b + 130. What is s(-129)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1471 + -2.1471. Sort -2\/21, y, -0.05.\nAnswer: y, -2\/21, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11651.\nAnswer: 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2*12)\/4. Suppose -5*u + a*m = 3*m, -11 = 2*u + m. List the prime factors of (-176)\/u - 9\/(-27).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 79, 178, 369, 682, 1147, 1794, 2653?\nAnswer: 3754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50670 and 27024?\nAnswer: 405360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-707)\/(-404)*12\/2)\/(3\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p + 11. Let b(o) = 26*o. Determine g(b(s)).\nAnswer: 104*s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f*f\/(f**(1\/3)*f*f))\/f*f*f*f*f)**(-3\/7)*(f**(-1)\/f)**(-19)*(f**(-1\/16)\/f*f*f**3)**(-27) assuming f is positive.\nAnswer: f**(-693\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 6. Suppose 5*l - 3*x = -11, 2*x - 2 = -5*l + r*l. Let f = 53 - 57. Sort l, 3, f.\nAnswer: f, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -6)\/3 - 1. Let b(r) = g*r - r + r - r. Let y(a) = a**2. Let u(i) = 14*i**2. Let h(n) = u(n) - 12*y(n). Determine b(h(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617375.\nAnswer: 5, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 0*u = 702. List the prime factors of 1 + -5 + 1 + u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3907, -7815, -11723, -15631, -19539, -23447?\n\"Answer: -3908*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -977, -636, -281, 94, 495, 928, 1399?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 7013 = -4*v - 7041, 15 = -3*v + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m + 80. Let n be m\/(-3) + (-7)\/(-21). What is the units digit of (-2)\/((-2)\/n) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/582 + (-1722695)\/(-750295)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/21 and 89\/203898177.\nAnswer: 203898177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, g: 6}. Give prob of sequence iiig.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1058*z + 524*z**2 + 2 - 1058*z - 2 to the form o + w*z**2 + s*z and give w.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -b - 11*c + 20, -2*b + 10 = 5*c. Let t(h) be the first derivative of 5*h**2\/2 + 3*h + 50. Let f(v) = 10*v + 5. What is b*t(n) - 6*f(n)?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from vuuqquuyuqququ?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 2*b**2 - 9*b + 2. Let q(i) = 5*i**3 + 6*i**2 + 26*i - 6. Let p(f) = -3*q(f) - 8*t(f). Suppose -4*y + 2 = -l - 2, 4*l - 8 = 4*y. Give p(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23*(-32)\/184 + -26?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*t**3 + 184252*t**2 + 11091736*t - 4466176 = 0. What is t?\nAnswer: -9152, -61, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 94343971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -4?\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 66 - 3*f**2 - 66 - 6*f**2. Let c(d) = -2*d**2. Calculate p(c(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*u - 44, i + 99 = 3*i + 3*u. Suppose -i = 4*g - 284. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1473163 and -0.011 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0928 and -0.1.\nAnswer: -0.00928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 20*i**2 + 19*i - 1. Let l be q(19). Let w be l*(-8)\/(-10) - (-561)\/495. Let p = 18 - 29. Is w smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as -1706.51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -0.04 (c) 2\/1673 (d) 0.3 (e) -0.4 (f) 1\/3 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8873628 + -3?\nAnswer: -887362b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/98, -41, -7, 0.5, 2\/5, -2.\nAnswer: -41, -7, -2, -1\/98, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*g + 93765 = 106515 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 93 = 6*q + 3*s, 5*s = -q + 31. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 16*k - 8. Let g be h(-4). What is the greatest common divisor of g and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/1071 and 53\/1071?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 887063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0649 to three dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4368?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**6\/40 - n**4\/12 - n**3\/3 - 19*n**2. Let b(w) = 3*w**3 - 3*w - 3. Give 2*b(j) - 3*p(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-6) - 4)*-39. Let k = -6 + p. Solve -2*y - k = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8160867l in millilitres?\nAnswer: 816.0867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 10:31 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + t - 22 = -3*t, -4*v + 4*t + 20 = 0. Let p be 4\/v + 70\/84. Factor -3\/2*r + p - 3\/2*r**2 + 3\/2*r**3.\nAnswer: 3*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -1\/7 (c) 0.9655049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 164 = -40. Suppose 351 = 3*i + 4*u, -3*u + 32 = 3*i - 319. Let k = y + i. Calculate the greatest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1.8, -3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57 + 0?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/9, 0.6, -1\/6, -0.22.\nAnswer: -2\/9, -0.22, -0.2, -1\/6, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 35 = 3*h, m + 7 = -3*h + 50. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 152160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 i when three letters picked without replacement from jppcpbpjpiggg?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/8)\/((-1)\/(-4)). Let a = -0.023 + -0.277. Let r(c) = c**2 + 2. Let b be r(0). What is the biggest value in b, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5184 = -15*g - 639. What is the remainder when 460 is divided by g?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) - (sqrt(13) - sqrt(78)\/(sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(6)))).\nAnswer: -5 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4943 - -4971. Calculate the lowest common multiple of 56 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*p + 229*p = -216895. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 37*v**2 - 26*v + 7. Is 48 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 41*o + 1072 = -164 - 762 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2496*-8)\/((-45)\/((-14760)\/(-287)))?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m + 0)*(-4*m + 3*m - 3*m) + (-1 + 1 - 2*m)*(1 + 2*m - 1) + 2*m**2 + 2 - 2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (1 - 0))\/2. Let u = m - 2. Let l be -2*(-1)\/27*u. What is the biggest value in l, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/21 + 3*4\/(-84)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 107677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4973623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -76?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = -3. What is the closest to -0.2 in i, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*t = -0*t + 31, 14 = 2*j + 4*t. Let h be 1\/j + (-5470)\/(-75). Suppose -2*s + 92 = -56. Is s <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/66*(-88)\/32.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 21 - 1 - (1 + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o - o**2 + 20 - 25 + o. Let s be r(4). What is the greatest common divisor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or 5161?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 444233 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1934*q**5 - 59*q**4 + 35*q**2 - 42582*q?\nAnswer: -116040*q**2 - 1416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 56 + 0*v - 56. Let z(i) = -3*i. Let f(k) = k. Let j be -3 + 2 + 11 + -3. Let y(c) = j*f(c) + 3*z(c). What is s(y(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 12, 2, 1.21, -2\/7, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4872 by -42.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-203) + 5\/((-105)\/(-6))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31920064 and 2816?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3\/3 - 4*a**2 - 17*a - 5. Let t be i(10). What is the second biggest value in -12, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 13339?\nAnswer: -4\/13339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a = 7 - 65 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/60 - 25*d**4\/4 + 423*d**3\/2 + 227*d**2 - 17*d. Solve s(f) = 0.\nAnswer: 9, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 73467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8296*w**3 - 669*w - 1 wrt w?\nAnswer: 49776*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + r - 2*r)*(-2*r - 1 - 3 + 3).\nAnswer: -6*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*g**4 - 34*g**3 + 2608*g**2 wrt g.\nAnswer: -648*g - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from wsfwdtwfdttddxf?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + s - 2*s)*(3 + 4 - 4) - 5*s + 2*s + 2*s + 7 + 23*s - 7 as p*s + q and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19416000 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1201445 and -341?\nAnswer: -409692745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3119, -3135, -3155, -3173, -3183?\n\"Answer: y**3 - 8*y**2 + y - 3113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 5684*i**3\/3 + 233*i**2\/2 - 7*i - 1201. Find the second derivative of m(v) wrt v.\nAnswer: 11368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -7 (c) -4 (d) 1\/5 (e) 3215 (f) 1\/7 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.322408 rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -80 - 58*o + 24*o + 28*o. Let f be i(-14). Solve -3*m = 2*p - 4*p + 1, f*p - 5*m - 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5120.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2*w + 4535 = 11*p, -p - w + 1510 = 0. What are the prime factors of p?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-3 - (-7 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -423*d - 944*d - 5 + 810*d as q + w*d and give w.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*u - 2 - 74, -3*u + 63 = 3*z. Let k(y) = 2*y**2 + 9*y + 4. Calculate the remainder when z is divided by k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*s - 15 = 162*s. Suppose -s*l - 12 = i - 8, -i + 2*l = -10. Solve i + 0 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 20 = 4*w, w - 1 - 4 = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 15) in base 9?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278728*x + 6 - 278973*x + 556622*x.\nAnswer: -1079*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147 - -163) + (-668)\/42)*9\/(-48)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(3\/4)\/v)**(-47)*v**(-10)\/(v**5*v))**40)**(-4) assuming v is positive.\nAnswer: v**15720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 23. Let l be -1*4*4\/x. Solve 0 = -3*i + f - 7, 3*i = -2*f - l - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 882416 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320070210.\nAnswer: 2, 3, 5, 10669007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28773 + 3798001\/132. Let v = y - -1\/12. What is the biggest value in 6, 2\/3, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-19)*t)\/(t*t**19) assuming t is positive.\nAnswer: t**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1907 + 1911. Solve -2*p - 4 = -6*p - l*t, 0 = 4*p + t + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -208, -826, -1856, -3298, -5152, -7418, -10096?\n\"Answer: -206*j**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 859408295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*l**3 - 3\/2*l**5 - 24*l**2 + 3*l**4 + 48 - 24*l = 0. Calculate l.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 11*l + 11. What is y(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (12 - 21 - 2) - -11 - 47?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -1, -3, 2748?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 35*h + 73. Let d be u(25). Suppose d*o - 455*o = -21. Solve -2*n = n - 3, -5*v + o*n + 22 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/42 + (-91)\/(-6). Suppose 16*r - h = 11*r. Solve 0 = r*g - 6*v + v + 32, 0 = -5*g - 2*v - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.08506um in nanometers?\nAnswer: 80085.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*a + 7 = 0, -5 = -3*a + 2*a. Suppose -4*m = k*c - 58, m - 2 - 20 = -3*c. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 36*j + 400. Give r(13).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 29321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305682 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -63923718.55 to the nearest 100000.\nAnswer: -63900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**3*s**3 + 432381*n**3*s**2 + 366*n**3 + n*s**3 + 1099171*s**3 wrt s.\nAnswer: -6*n**3 + 6*n + 6595026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*p - 232*p = -n + 1360, -5*n = -5*p - 6725. Solve -1334*j + 98 = -n*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61.55 + -61. Let b = 0.65 - f. Let x = 0 - 4. Sort b, x, 5 in descending order.\nAnswer: 5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i**2. Let m(d) be the second derivative of 0*d**2 + 15*d - 1\/2*d**4 + 0*d**3 - 3. Give s(m(b)).\nAnswer: 540*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 + n**3\/6 - 6*n. Factor d(b).\nAnswer: -b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*b - 11, -215*p + 219*p - 19 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451767352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038486?\nAnswer: 2, 3, 173081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -262\/5 + 909\/10. Let b = -919\/4 + 232. What is the common denominator of i and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 6*g - 7. Let a(o) = o + 1. Let c(d) = 6*a(d) + j(d). Let t(l) = -2*l**3 + 12*l**2 - 12. What is -12*c(z) + t(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3904 is divided by 157.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 + 4*t**4 - 3*t**4)*(832*t - 673*t + 686*t + 841*t).\nAnswer: 8430*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.201 - 0.199. Sort -1\/4, -7, 1\/6, z.\nAnswer: -7, z, -1\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 688 and 4214?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) - 528\/(-20). Let b = -9 + r. Solve -3*o - 2*o - 3*a = -b, o - a - 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 312337638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 3*o**2 - 2*o. Let c be z(3). Is (39\/c)\/(2\/(-4)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101268 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 8 + 4. Suppose 80*d = 83*d - 9. Suppose -2*v + 14 = n, d*v - 2*n = -v + t. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 1, h: 1, s: 3, v: 6}. Give prob of picking 1 v, 1 h, and 1 b.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (22 + (34 - 42)) - -123\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - -201.9694402?\nAnswer: 202.7694402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1. Let l(q) = 2. Let t(b) = l(b) + 3*o(b). Let k(w) = 4*w - 3. What is -k(g) + 2*t(g)?\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -2)*(-1 - -2). Suppose 2*s - 3*s = h. Put s, 4, -2 in decreasing order.\nAnswer: 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 4*m + 8. Let k(t) = -1. Let w(p) = -b(p) - 6*k(p). Factor w(z).\nAnswer: -2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15124511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3\/8, -0.16, -0.5, 2 in ascending order.\nAnswer: -10, -0.5, -3\/8, -0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1218 and 11\/6510.\nAnswer: 188790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -121*x. Let b(p) = -1308*p + 8. What is t(b(j))?\nAnswer: 158268*j - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -1 + -2)**2.\nAnswer: -54*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1766638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.6 + 27.6. What is the closest to c in -0.2, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 36*z**2 - 113*z + 305. Calculate the smallest common multiple of f(-33) and 52.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9888?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 95\/(-285)*162*(-2)\/(-4)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + (-4*(1 + sqrt(2736) - sqrt(2736)) - (1 + sqrt(2736)*2 + sqrt(2736) + sqrt(2736)))**2*3*2)*4.\nAnswer: 11520*sqrt(19) + 1051256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(70\/12)*(-10)\/4. Let q(c) = 0*c + g*c + c - 3*c. Let u(b) = 8*b. Calculate q(u(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57*(3 - 30\/9). Let z = 8 + r. Let f = z + 28. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 198 = -450. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 <= 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 191488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-18) + 0 + 6\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/31, 1.1, 5, 0.2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:20 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 6*d**2 - 8*d - 10. Suppose -v - 9 = -4*s - 40, -3*v + 30 = -3*s. Let l be z(s). Let r be (-2 - 12\/l) + 2. Solve t + 6 = r*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1302 and 614?\nAnswer: 399714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beeeeseiciie. What is prob of picking 2 e, 1 c, and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -839, 9, -3, 4, -8, 1 in descending order.\nAnswer: 9, 4, 1, -3, -4, -8, -839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14536 + 14540. Solve -5*b - g = 4*l + 21, -4*l - 20 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001012020 (base 3) in base 6?\nAnswer: -510140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.156? (a) 0.4 (b) -1 (c) 3.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 - u + 2*u + 20*u**2 - 3*u to m*u + w + f*u**2 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 731927, 731924, 731921?\n\"Answer: -3*k + 731930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/2 + (-2)\/(-7)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from xxpppppxpxpppppppppp?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130\/3 + 43. Which is the nearest to -1? (a) w (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 13) to base 4.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0 - 4 + 1 - 2*f. Let l(q) = -q**2 - q - 1. Let g(d) = -d**2 - 9*d + 1. Let v(m) = -g(m) + 2*l(m). Let y be v(7). Calculate a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7666 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387.4838 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 7*f. Suppose -2*h + 9 = 3*v, 3*h - 4 = 2*h - v. Suppose f = 8*o - h*o - 300. What is the remainder when o is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 44*l**2 + 238*l - 94. Give z(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*o = -41, 1 + 1 = -2*o. Let h = k - -51. Solve 4*d - 3*d + 4*x - 21 = 0, 0 = -4*d - 5*x + h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231 - -234. Let m = 0.85 + -1. Let n = m - -0.2. Sort 2\/3, g, n in descending order.\nAnswer: g, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101533 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17319923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -418 - -429. Solve 14*v - 6 = r*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, -2, -1.4, 4\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -2724?\nAnswer: 2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2777.4 - 2771.4982. Round x to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6410500 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -296\/4594619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*l + 4*l - 230, 5*l - 566 = -2*t. Find the third derivative of -49*d**2 - 7*d**3 + l*d**2 - 2*d**5 - 45*d**2 wrt d.\nAnswer: -120*d**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*f + 94 - 74, b + 15 = 3*f. Let q(h) be the second derivative of b + 0*h**2 + 6*h - 1\/6*h**3. Let d(j) = 2*j**2. What is q(d(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 3, r: 2, a: 2, s: 2, p: 4}. Give prob of picking 1 p and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.51, -3, -2\/9 in decreasing order.\nAnswer: 0.3, -2\/9, -0.51, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**6\/150 + 27*n**5\/100 - 113*n**4\/60 + 19*n**3\/10 + 99*n**2\/5 + n - 161. Suppose p(i) = 0. Calculate i.\nAnswer: -1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (3 - 10*(-6903)\/(-1820))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3855 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * 3\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:21 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 96*p + 1164. Determine a(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 2*j + 14. What is u(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (2 + 1 + sqrt(245) + sqrt(245))) + ((-4 + sqrt(245) + 1)**2 - sqrt(245)) - (6*(-2 + -2 + sqrt(5)*-1))**2.\nAnswer: -344*sqrt(5) - 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d + 1891 = 5*g, g + 3*d = 367. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 0*s = s + 11, 23 = -l - 5*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) 5 (c) -1 (d) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 3. Let v(j) = j - 1. Let d(s) = -r(s) + 2*v(s). Let q be d(-3). Suppose 2*o - 570 = -q*o. Calculate the greatest common factor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 210?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 + 526*k**4 - 202*k**2 + 4*k wrt k?\nAnswer: 120*k**2 + 12624*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*f - 35 = -959*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose 17*u - 2*s + 5 = 18*u, -2*u = -4*s - 18. Solve -3*g + 15 = -3*p, -2*p + m*g = u + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27761177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 1. Let s(p) = -9*p**2 + p - 2. Calculate 8*d(z) + 3*s(z).\nAnswer: -3*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*z + 1639*z**2 + 1621*z**2 + 4 - 4 + 615*z - 3269*z**2.\nAnswer: -9*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1329708, 1329711, 1329714, 1329717, 1329720?\n\"Answer: 3*o + 1329705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 1, w: 2}. Give prob of sequence lwwt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = -2*k, -4*k = -4*c - 0*k + 20. Is 30 a factor of 81 + -4*(-1)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q + 21. Let g(m) = m + 39. Let v be g(-35). Let s(i) = 19*i - 37. Let r(a) = v*s(a) + 7*p(a). Suppose -3*w + 6 = 0, -b + 2*w - 1 = w. Give r(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401344 (base 5) to base 15\nAnswer: 3b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*o = 8, 4*d + 5*o - 24 = 8. Let w = 8 - 8. Suppose 2*h + h - 15 = 0. Solve -d*i = s + 2 + 9, -3*i + h*s + 1 = w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11133)\/(-17318))\/(18\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/7, 0.3, 10, -0.4, 3, -2\/7.\nAnswer: -10\/7, -0.4, -2\/7, 0.3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 r when four letters picked without replacement from orrdrbborgbdobbbrnnb.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6636 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 4*q**2 - 2*q - 2. Suppose -2*i = -4*i - 8. Let g be y(i). What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -17*q - 11\/4*q**4 - 13\/2*q**2 - 2 + 13\/3*q**3. Let y(i) = 5*i**3 - 6*i**2 + 6*i + 8. Give 6*n(m) + 13*y(m).\nAnswer: -m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348832 by 32.\nAnswer: 10901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let f be m(-4). Suppose 2 = -3*l + 14. Let h be (-6 - -2)*(-2)\/l*3. Solve 4*z + g - h*g = -f, -5*z - 15 = 5*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0089717 rounded to 5 decimal places?\nAnswer: 0.00897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, -296 in descending order.\nAnswer: -5, -11, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 38. Suppose -4*k - 5*p + h = -3*p, 0 = 4*k + 4*p - 8. Suppose l - 4 - 1 = 0. Solve 0 = l*o - k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 5*k = -27, -48 = 4*g + 24*k - 28*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*p**2 + 16*p**3 - 7*p**3 + 183*p**2 - 4*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -360*((-54)\/12 - -2). What is u rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 - 3*z - 3. Let q be o(-2). Suppose 3*v + 30 = q*t, -t + 2*t = -v + 14. What is the least common multiple of 14 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 730551 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1134658665 and 567.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -6677 and 1111.\nAnswer: -5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11233239.07 rounded to the nearest 1000?\nAnswer: -11233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57991427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 5. Let r = 0 + -6. Let n be i(r). Let h be (3\/15)\/(2\/(-2)). Which is greater: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11319558 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3 + 7*b**2 - 2*b. Let u be c(10). Let i = u - 44. Calculate the greatest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0390313 rounded to three dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 11*q = 903367 - 19287134. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 4\/(3 - 5) - (1 + -6 - 38).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 943629*j**4*u**3 + j**4*u + 168*u**3 - 23*u**2 + 39*u wrt j?\nAnswer: 3774516*j**3*u**3 + 4*j**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.11, -0.08, -5, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1, -2\/139, 30.2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1921 - -1920.8. Which is the closest to -1? (a) 40 (b) x (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-69 - -38) - 58?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005987842 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520844328 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.516 + 63.534. Round j to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 3557730?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, 10 in descending order.\nAnswer: 10, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 426.9409 + 0.0591. Let i = s - 427.794. Let t = i + 1.157. Round t to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/(10\/((-70)\/(-7))). Let i = 357 - 8927\/25. What is the biggest value in -1, -5, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 4044?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1055673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 38 - 21 - 18 - 6*x. Suppose 3*n + 0*n + 6 = 0. Calculate v(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 6120. What is i rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 + j - j)*(-1404 + 590 + 2934) to the form m + t*j**2 + x*j and give t.\nAnswer: 4240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13818929*q - 7470827?\nAnswer: 13818929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -492*n**2 + 8*n**3 + 0 + 15129\/2*n = 0.\nAnswer: 0, 123\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -193, -279, -365?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(637)*1)*2 - (((sqrt(637) + 0)*6 - sqrt(637)) + (sqrt(637) - (sqrt(637) + sqrt(637)*-2)*5))) + 3)*4*4.\nAnswer: -1008*sqrt(13) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 85. Let s be 3*a + 11 + -15 + 2. Determine x so that 0*x**2 + 0*x + 0 - 2\/5*x**3 + 2\/5*x**s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*4 - -4*(sqrt(132) - -1*sqrt(132)))\/(sqrt(48)\/sqrt(64)*-2).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -2*o**3\/3 - 32*o**2 + 116. Determine t so that c(t) = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 29*u - 24*u.\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6169, 24597, 55311, 98311, 153597, 221169, 301027?\nAnswer: 393171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227423 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 7:25 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i**(-3)*i**(-6\/7)*i*i**(-4))\/(i**(-3)\/i**(-7)*(i**(-1\/4)*i*i)**(7\/3)) assuming i is positive.\nAnswer: i**(-1843\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and -0.4?\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 7*s**2 - 6 + 3*s**2 + 2 - 5*s. Let t be g(-3). Sort t, -2, -5 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*g - 27, -c + 12*g - 9*g + 31 = 0. Solve 0 = c*f - 35*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 850 and 6?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 25*v + 17. Let k be 375\/500*4\/5 + 94\/10. Give s(k).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 157*d - 909. Determine j(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3\/8, 3, -3, -10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2418 <= 22101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-116)\/(-16) + (0 - (1 + 1)). Which is smaller: 0.03 or g?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37055476.000098 + -37055412. Let d = 64 - b. Round d to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0671861 to four decimal places.\nAnswer: -0.0672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 48 = 8*l. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a1262 (base 15) in base 12?\nAnswer: -123106b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -307034 at most -307034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6768 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.13 * 4.\nAnswer: 312.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 959 + 3*m - 2*m**3 - 15*m**2 + 15*m**2 - 946 to the form c*m**2 + z*m + t + r*m**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 14. Let j(f) be the second derivative of -1\/20*f**5 - 1\/60*f**d - 1\/24*f**4 - 3*f + 0*f**2 + 0*f**3 + 0. Factor j(o).\nAnswer: -o**2*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20534474 times -1?\nAnswer: -0.20534474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 263.71 - -1778377\nAnswer: 1778640.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5035203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 41*z**2 - 3*z + 2. List the prime factors of d(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 - 135. Solve 4*g + y - 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 20. Determine l(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.373 + -0.3832. Round f to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -505*z**3 - 13130*z**2 - 219*z - 5710. Calculate t(-26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:50 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:49 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pixyycpyiipxyiippiy. Give prob of sequence piy.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1795 (c) 3 (d) -1300 (e) -2\/7 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)*d**(-5))\/((d*d**1)\/d)**(-19) assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 64*g + 132. Let y be q(-2). Solve 2*a - 18 = -y*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:42 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 944 - 926. Calculate the lowest common multiple of x and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 - 9*y**2 - 6*y. Let i(l) = 4*l**3 + 4*l**2 + 3*l. Suppose -4*p - q + 7 = -2*p, p + 2*q - 2 = 0. Calculate p*w(b) + 9*i(b).\nAnswer: 8*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87241071 is divided by 3035?\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*a**4*w - a**4 - 141*a**2*w + w - 17377 with respect to a.\nAnswer: -272*a**3*w - 4*a**3 - 282*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 35 = -7*m. What is the biggest value in -2, m, 2\/79?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s + 0*s)*(2 - s - 2) + 179 + 43*s**2 - 179 + (2 - 5 - 2)*(-7 - 3*s**2 + 7) + 2 - 2*s**2 - 2 to b*s + k + t*s**2 and give t.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21092695.\nAnswer: 5, 13, 324503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 2384, 8164, 19418, 37970, 65644, 104264?\nAnswer: 155654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -296. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1)\/sqrt(5) + 1*sqrt(612) + 3.\nAnswer: 3 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(3) + (sqrt(12)\/(sqrt(4) - sqrt(36)))**2.\nAnswer: sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 41*d + 18. Let j be l(14). Suppose -4*a - 20 = -4*w, -9*a - 18 = -4*w - j*a. What is the greatest common divisor of 679 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*s - 9, 4*f - 6 = 3*s + 8*f. Suppose -8*m + 22 + s = 0. Solve 1 = -m*d - 5, -4*o - 12 = -2*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24482, -24660, -24836, -25010, -25182, -25352?\n\"Answer: t**2 - 181*t - 24302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j + 3*g - 4, 5*j + 4*g = 1. Solve u = j - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0.4, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124288 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2778334 is divided by 277830.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/13 (b) 0.4 (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 + 65*m - 3846. Determine f(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 3:38 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvjnjvj. Give prob of sequence jnj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000597362629 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007020067 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 21. Determine g(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**4 - 86*u**3 - 17*u**2 - 101. Let b(r) = 2*r**4 - 43*r**3 - 9*r**2 - 51. Let j(c) = 6*a(c) - 11*b(c). Find the third derivative of j(x) wrt x.\nAnswer: 48*x - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-4 - -20) - 10) + (10 - -5) + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(55741 - 55741 + 1374*h**3).\nAnswer: -2748*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/(h**(-2)*h)*h*h*h**(-2\/5)*h*h**(-6))\/(h**(-2\/7)\/h**(-1\/5)*h**(-6)*(h\/(h\/(h*h**(-1\/5)*h*h)))\/h) assuming h is positive.\nAnswer: h**(159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -36\/7. Let f = 2.04 - 0.04. Which is the second biggest value? (a) j (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(3\/7)))\/m)**(-37))**(-11\/2)\/((m**(-1\/3))**(-6\/11)*m**2\/m**8) assuming m is positive.\nAnswer: m**(-8506\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/10)\/(1\/3). What is the second smallest value in a, -0.17, 0.2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13113 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -20325?\nAnswer: 20321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Let h be ((-2)\/(4\/(-3)))\/(2\/(-4)). Which is the closest to 1\/2? (a) h (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 21\/8*56\/35\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -349947 - -349798.879. Let b = 148 + v. What is b rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 - 125. What is the highest common divisor of x and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.44 + 2.3. Sort 2, 3\/5, h in decreasing order.\nAnswer: 2, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1576497622 and 1576497621 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 169*f - 46*f = -4465 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/52392 and 41\/4248.\nAnswer: 157176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51855759941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 e when three letters picked without replacement from eepyeyqeey.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2227\/226 - -33095\/678. Find j such that 3872\/3 - p*j + 2\/3*j**2 = 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3047, -21, 0.2 in decreasing order.\nAnswer: 0.2, -21, -3047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*n - 17*n + 23*n)*(9 + 5 - 8) + 6*n - 16*n + 40*n to the form b + i*n and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.1, 3, 2\/17, -0.1, 111 in descending order.\nAnswer: 111, 3, 2\/17, -0.1, -16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 13, 21, 31, 43, 57?\n\"Answer: c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:31 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 16*b + 29. Let d be w(-12). Let f = d - -61. List the prime factors of -3 + (42\/(-70) - f\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70137, 280641, 631477, 1122633, 1754097, 2525857, 3437901?\nAnswer: 4490217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = o - 2*i, o - i - 1 = -4*i. Suppose -6*a + a - 10 = 2*r, -o*a = r + 8. Let b be (-9)\/(-3) + a + 5. Solve 4*l = 2 - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*w = 66*w + 1562 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -d73?\nAnswer: d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 - 130*m**3 + 274*m**2 + 402*m = 0.\nAnswer: -67, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p + 3*g = 122, -4*p + 138 = -5*g. Calculate the remainder when p is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1120 and 1232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5 - 2*g)*(-421*g - 770*g - 1145*g).\nAnswer: 4672*g**2 - 4672*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(7\/((-28)\/8)). Suppose 6*m - 3*m + 18 = b. Let i be (8\/6)\/(m\/(-9)). Solve -i*f + 7*f = -20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2515 - 2490 = 3*h + 3*o, 0 = 5*h - o + 2 - 53 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1 + 0.1. Let j = 0.27 + -10.27. Let v = o - j. What is the second smallest value in -1\/3, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18))\/(530\/636)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 12 - 3 - 12 + 830*z to a*z + g and give a.\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + -110011100?\nAnswer: -101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -6*q - 11*q. Let z be (1 + -7)*q\/(-42)*-3. Solve 2*j - z*g - 6 = -j, -3*j + 10 = -4*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1792, -3598, -5424, -7282, -9184, -11142, -13168, -15274?\n\"Answer: -2*p**3 + 2*p**2 - 1798*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 2:07 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*l - 2*a - 5, 3*a = -3. Let r = l + -3. Calculate the lowest common multiple of r and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4442, 4448, 4464, 4496, 4550, 4632?\n\"Answer: b**3 - b**2 + 2*b + 4440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20235 + 20367. Solve 32*t + t - f = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**2*u*u)))**(-3\/4)\/(u**1*u**(1\/8)\/u) assuming u is positive.\nAnswer: u**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 234 - -3290. Let w = 3432.013 - o. Let m = -92 - w. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(98\/27))\/(((-39744)\/(-644))\/72)\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by 634.\nAnswer: 55\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjjy. Give prob of sequence jy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q)\/(q**(1\/2)\/q))\/(q**(-2\/7))**(-31)*((q**(-4)\/q)\/(q**2\/q*q*q))\/(q**0)**31 assuming q is positive.\nAnswer: q**(-187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/4 (b) 4\/37 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -631104 by 12.\nAnswer: -52592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2 - 3*h + 3 + 2 - 2. Let x(w) = -w - 2. Let a be x(-4). Let n(l) = 2*l + 5*l - 4 + a. Give -5*d(k) - 2*n(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 2. Suppose -3*j = 0, 3 = -2*w - j + 7. Let v(u) = 4*u - 10. Let l(h) = -8*h + 19. Let q(o) = -3*l(o) - 5*v(o). Calculate w*q(a) + 7*n(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386390 is divided by 25728.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 3. Let g(q) = 2 + 3 - 3. Suppose 3*z - 4*a = -7*a - 18, z + 5*a + 22 = 0. Let d(m) = z*n(m) - 3*g(m). Determine d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 2\/1353 (c) 0 (d) 0.04 (e) 2\/17 (f) 0.2 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 67. Which is the biggest value? (a) l (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-252)*(32 + 3). Solve 13 = 2*k + 4*z - x, -1 = -k + 2*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5 - 4 = 5*m, 4*m - 12 = -4*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -63. Let g(x) = -8*x + 1. Determine g(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*c - 215. Suppose 2*l + 132 = -4*t, 0 = l - 4*t + 2*t + 66. Let d = c - l. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2156 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*v + 3*v - 5, r - 5*v = -11. Suppose 108 = -14*o + 16*o. What is the remainder when o is divided by 6\/r*6*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.19219*-0.102\nAnswer: 3.58960338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 10676371791.92?\nAnswer: -10676371788.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 - (-3 - -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010 - -1010000110001?\nAnswer: 1001110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y - 21*y - 8 + 11 + 8*y**5 - 12*y**4 - 40*y**3 + 9 = 0.\nAnswer: -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4731.37 (b) -0.5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**2 - 15*s**2 - 13679*s**3 - 1 + 13675*s**3)*(-2*s + s - s).\nAnswer: 8*s**4 + 50*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 44. Determine u(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 851 and 12897572?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 5*m**2 + 17 - 18 + m**3 in the form a + i*m**3 + x*m**2 + c*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*q + 144 + 226 + 440 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1206.4985 - 1206.5. What is h rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 times 0.9?\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ed - -4?\nAnswer: f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14250\/475 + (-10 - -1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21621 is divided by 450.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -720*l**4*m + 2*l**2*m + 2*l**2 - 147*m wrt l?\nAnswer: -17280*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150114 times -0.84?\nAnswer: -0.12609576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhuuhuhuhu. What is prob of picking 4 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56919, -227668, -512245, -910650, -1422883?\nAnswer: -2048944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-10)\/6) + (5 - 0). Let p(d) = -424905*d**2 + 0 + d + 74904*d**2 + 2. Let b be p(s). Round b to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 383846 or 7293049\/19?\nAnswer: 383846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/((t\/t**(2\/7))\/t))\/t))\/t*t\/(t*t**(2\/3)))\/(t*t\/t**(3\/5))**(-16) assuming t is positive.\nAnswer: t**(2252\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/6 + 5*w**3\/2 - 64*w**2. Let y(j) = -3*j - 10. Let c(o) = -2*u(o) - 3*y(o). Let g(x) = x**2 + 42. Determine c(g(f)).\nAnswer: f**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:23 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d**3 + 5*d**2 + 5*d + 2. Let x be u(-1). Let f(b) = 27 + 14*b - 2 + 0*b + 31. Calculate the remainder when f(x) is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 120*r = -4041 - 823 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2744 and 654647.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, 0.23, 277, 4, -27, 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14912 is divided by 7424.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2 + 4*y + 4. Let n be k(-1). Let h(z) = 2*z**2 - 16*z. Let b be h(n). Solve 2*j + 34 - 32 = b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r**2 - 1. Let l(d) = 7*d**3 - 8*d**2 - 3. Determine -5*h(c) + l(c).\nAnswer: 2*c**3 - 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-16)\/(d*d*d**(-44)*d) assuming d is positive.\nAnswer: d**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6*2\/(-5)*15\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 83545, 334833, 753647, 1339987, 2093853, 3015245?\n\"Answer: 83763*p**2 - p - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211520 and 4160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 39 - 9 = 0. Let k = 17 + q. What is the tens digit of (-100)\/12*k*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 5, z: 2}. What is prob of sequence uzmz?\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.2. Suppose 2*z + 4*i = 2*i + 22, 5*i = 4*z + 10. Which is the closest to m? (a) -0.1 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/9)*h)**(1\/7)*(h*h**(-1\/3))**(11\/8))\/(h**(-1\/2)*h**(-6)*h\/h**1*h**7\/h) assuming h is positive.\nAnswer: h**(421\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*r**5 + 41*r**5 + 79*r + 442*r - 42*r - 42*r**2 + 7*r**2 wrt r?\nAnswer: 520*r**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*f - 6, 0 = 2*z - 5*f - 0*f + 6. What is the remainder when 21 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*w**2 + 40*w**2 + 16*w**3 - 80*w**3 wrt w?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5207246, 10414495, 15621744, 20828993, 26036242, 31243491?\nAnswer: 36450740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31214118 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-32)*-30*(-11)\/99?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -14) + 10 + -16 + 12 + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74 and -0.5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from wddbbwdedddcdbbdbdbb.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 66. Let x(w) = 7*w + 132. What is -5*l(g) + 2*x(g)?\nAnswer: -g - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -173, -388, -687, -1070?\n\"Answer: -42*v**2 - 5*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/8 - (-2)\/4. Let q = -0.1 + -0.2. Let o = -8.6899 - -8.8899. What is the nearest to q in -1, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7164 and 0.1.\nAnswer: 7164.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from {w: 9, d: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -315*b**3 + 3713*b**2 - 1270*b**3 - 519*b**3 - 1326*b**2 wrt b.\nAnswer: -12624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.652482 seconds to days.\nAnswer: 0.000945051875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3287 - -253418?\nAnswer: 250121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 1333?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(2*o - 3 + 3) - o + 0*o - o + o + 2*o - 5*o + (3*o - o - 4*o)*(-5 + 4 + 2).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408228?\nAnswer: 2, 3, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3 - 26*j**2 + 32*j + 56 = 0.\nAnswer: -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1\/(-4))\/(16\/32)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 1, b: 9, x: 4}. Give prob of picking 1 b and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43322629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 0*j**2 + 0*j**5 - 20\/3*j**3 - 3\/7*j**7 + 0*j**6 + 0*j - 43 - 1\/4*j**4. Find the third derivative of w(m) wrt m.\nAnswer: -360*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1433 in decreasing order.\nAnswer: 1433, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-5 + 9) - -6. Suppose 2*r = -2*f + 8, -2*r - 2*r + 14 = o*f. Solve -d = -r + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 54613.92 decades to centuries.\nAnswer: 5461.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -4. Let b be (-1)\/2 + (-27)\/j. Suppose -b*i = 4*a - 144, 0 = -i + 2*i + 5*a - 32. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7431089 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) - 62\/(-30) - 1. Which is the second biggest value? (a) -2 (b) -2\/3 (c) u (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 7. Let t be z(10). Let u be (-25 + -1)*(t + -2). Is (11 - -3)*u\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97875521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 5 + 5 + 0*u. Let x(r) = -3*r. Give x(s(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 11 = -2*u, 5*u = 5384*s - 5380*s - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 134. Let w = -224 + o. Let l = w + 274\/3. What is the third biggest value in l, -0.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*o - 4*o = 15, 0 = 4*o. Suppose 6 = s*x - 3. Let a(p) = 3*p + 1. Let v(k) = 2*k. Let u(d) = 3*a(d) - 5*v(d). Determine u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/(k\/(k*k**(-2\/11)*k)))\/(k**(-4\/5))**(3\/10) assuming k is positive.\nAnswer: k**(-809\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 4. Let k be j(2). What is the second smallest value in -2\/9, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**4 + 25*m**3 - 5*m**2 + 7*m. Let f(c) = c**4 + 17*c**3 - 3*c**2 + 5*c. Let i(j) = -7*f(j) + 5*h(j). Factor i(g).\nAnswer: -2*g**2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10069 = 2*c + 2771. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 1, t: 7, v: 1, a: 1, j: 2}. Give prob of picking 1 w and 1 q.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 140219 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -26, 32, 132, 286, 506?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00154450346 to six dps.\nAnswer: 0.001545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2769.77 + -2752. What is j rounded to one dp?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33684 and 28070?\nAnswer: 168420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k - 18. Let l(a) = -3*a + 1. Let m(n) = 5*n + 3. Let s(j) = -l(j) - m(j). Let w(i) = 6*g(i) - 26*s(i). Let o(u) = -2*u. Determine w(o(y)).\nAnswer: 16*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -57 in increasing order.\nAnswer: -57, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 95\/(-65) + (-186)\/(-403)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z - 162. Let i be u(-12). Let y(f) be the first derivative of -f**3\/3 + 4*f**2 + 12*f - 1. What is the units digit of y(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) - 2\/4. Let r(g) = -71*g - 39. Let l be r(4). Let x = -325 - l. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 1. Let j(i) = -2*i. Let n(h) = -2*f(h) + 3*j(h). Give n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 + s. Let m(y) = -2*y**2 - 10*y + 39. Let t be m(-7). Let j(a) = -a**3 + 23 + t*a - 23 - 10*a + 7*a**2. Determine 5*f(o) - 4*j(o).\nAnswer: -o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*y + 6 + 19, -40 = -5*l + 5*y. Let o(z) be the first derivative of 3\/10*z**2 - 3\/4*z**4 + 9\/25*z**l - 5 + 1\/5*z**3 + 0*z. Factor o(h).\nAnswer: 3*h*(h - 1)**2*(3*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l = -49*l + u + 20, 4*l - 84 = 2*u for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let j = 150931 + -150935. Let t be -5*((-8)\/5 - -1). Sort i, j, -1, t in decreasing order.\nAnswer: t, i, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -13 (c) 1 (d) -1175 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -12. Sort 0.12, 0, m in decreasing order.\nAnswer: 0.12, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32496 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1701*n - 1704*n = 1077. Let d = n + 364. Solve -a + d*g + 24 = 0, g + 3 = a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32549 and 49227.\nAnswer: 5956467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 7*l**2 - 7*l - 4. Let d be r(8). Let q = 5 - d. Solve 6 - q = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 6*v**2 + 9*v + 9. What are the prime factors of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s**3 - 3*s**2 + 114*s - 112. Let l be g(1). Solve -101*p + 96*p = -l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*a + a + 9, 4*v + a = 21. Let o be v\/1*(-10)\/4. Is (1996\/6)\/(o\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**3 + 3*k**3 - 6 + 11 + k**4 + 1 - k**2 to i*k**3 + w*k**4 + z*k + n*k**2 + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*k - 18. Suppose -41 = -12*i - 29*i. Calculate the least common multiple of 10 and i\/k + 56\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64\/7? (a) -2\/11 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -24, 3, 52, 129, 240?\n\"Answer: z**3 + 2*z**2 - 2*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sifisri. Give prob of sequence si.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**16\/((n*n**(-24))\/n))\/(n\/(n**(-26)*n*n)*n*n**2) assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y*y**(6\/7))\/y)\/y*y)**2)**(3\/14) assuming y is positive.\nAnswer: y**(39\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 43*m**2 - 1084*m + 5436. Determine u(5).\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -3*r. Suppose c + 2*c = 15. Suppose -3*s + 3*k = 0, -4 = -5*s + 2*k - 1. Sort c, r, s in decreasing order.\nAnswer: c, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(-2\/13)*(y*y**(3\/5)*y)**(-17\/2) assuming y is positive.\nAnswer: y**(-2913\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -22648*r**2 + 16*r**4 - 5*r + 8*r + 22647*r**2 - 3*r**3 as q*r + k*r**2 + o + f*r**4 + u*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-198)\/63*(4 + 0 + -3) and (-186)\/20*2\/6.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1525008 and 4272?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-3\/5)\/n)))**0\/(n*n*n**(2\/3)*n*n*n\/n**1) assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.87 and -2321?\nAnswer: 6661.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1683987 and 148786.\nAnswer: 37047714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15925 divided by -24?\nAnswer: -15925\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 365998.6 days?\nAnswer: 31622279040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 11*u + 18. Let y be 2*u\/(-10) + (-48)\/80. Which is the nearest to 0? (a) -1 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2570, -2, 0, -3652, -5, 3 in decreasing order.\nAnswer: 3, 0, -2, -5, -2570, -3652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 4\/(-16))\/(198\/1056). Suppose -2\/13*f**5 + 0*f + 4\/13*f**y - 4\/13*f**2 + 0 + 2\/13*f**3 = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 37*h**4 - 4*h**2 + 17*h**2 + 7*h**2 + 1 wrt h.\nAnswer: -888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/20 + 3*o**4\/4 - o**3\/2 - 7*o**2\/2 - 3*o + 105. What is q(5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229965.4 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3 in increasing order.\nAnswer: -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 less than -0.1?\nAnswer: -554.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 11) to base 9\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 34 = -10*x + 4*w, -4*x + 4*w + 44 = 0. Let g = 128 + x. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13\/3)\/b**(-26\/7))**(-2\/135) assuming b is positive.\nAnswer: b**(26\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50108924 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 33 = 15. Let y = -9 + x. Suppose -t + 4*z = -12, -5*t + 2*z + 135 = -y*z. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:58 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1158 - 2607?\nAnswer: -148d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 4\/3, -1\/7, -5, -149, -427, 1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15 + -8)\/(98\/28). Let c(d) be the second derivative of 0*d**3 - 1\/3*d**6 - 5\/2*d**t + 9*d + 0 + 0*d**5 + 0*d**4. What is the derivative of c(n) wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9022.\nAnswer: 2, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**4 + 5*a**4 - 2*a**4)*(-22 - 14 + 28) as m*a**3 + v*a + l + h*a**2 + w*a**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 + s + 1. Let q(u) = -6*u**3 - 4*u**2 + 4*u - 24. Let w(a) = -q(a) + 5*r(a). Is 16 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 26*x**2 - 6*x - 9. Let h be m(-4). Let y = h - 418. Which is greater: y or 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17 + 16)*(-7 - 3816)?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21817211 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37552, 37379, 37206, 37033?\nAnswer: 36860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r*r\/((r*r**(-7))\/r)*r*r))*r)\/(r*r**(-2))*(r**(-2\/3)\/r)\/(r\/r**8*r) assuming r is positive.\nAnswer: r**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*h - 3*v - 35, h = 4*v + 7. Let i(f) = f**3 - 6*f**2 - 4*f - 9. Is 6 a factor of i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (2 - (-2 + -2)) - -3 - 23.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -276056.\nAnswer: 1\/276056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9141 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 660352 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/40 - a**4\/4 + 2*a**2. Find the second derivative of n(q) wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*u - 4. What is the second derivative of u*x**5 + 4*x - 6*x**2 + 6*x**2 wrt x?\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/66 + (-1001)\/42)*(-5)\/4. What is the greatest common factor of n and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 3*x + 2*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 50488*v - 857140 = 0.\nAnswer: 17, 12605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 - -125. Sort 4, 0, v, -2, 188 in ascending order.\nAnswer: -2, 0, v, 4, 188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/70 + 123*b**4\/8 + 2377*b**3\/6 + 7*b**2 - 81*b. Find the first derivative of d(y) wrt y.\nAnswer: -12*y**3 + 369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-8))\/((-25)\/16600). Are l and 829 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21740 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 9) to base 4.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1060832, 1060850, 1060868, 1060886, 1060904, 1060922?\n\"Answer: 18*x + 1060814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 4, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 - 145\/(-5)). Let b(z) = -z**2 - 41*z - 25. What are the prime factors of b(r)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:04 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/479 not equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -2\/5 (b) 1\/12 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q. Let k(a) = -2629978*a. Determine k(v(n)).\nAnswer: -26299780*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 0. Suppose -3*l + 6 = -m*l. Suppose -3*u - 87002 = -0*x + x, 5*u = l*x - 144996. Round u to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 420, 735, 1050?\n\"Answer: 315*n + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7510939.\nAnswer: 43, 174673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3213)\/(-28))\/17 - (-40)\/(-8).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43456 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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 comes next: 37, 35, 31, 25, 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -889 and -20266748.\nAnswer: -20267637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75\/2 of a microgram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -18\/8569367?\nAnswer: -18\/8569367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.574 - 0.326. Let m = -42 - d. What is the nearest to 0.1 in m, -0.3, 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*u**2 + 25*u**2 - 434*u**2)*(-u + 3*u + u).\nAnswer: -999*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.72 - -71.28. Let j = 57 - u. What is the closest to 2 in -1\/2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32477333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, 0.2, 11, 5, -5\/2, -147?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u - 2*y, 0 + 7 = 5*u + 4*y. Solve 2*x + 6 = u*x + 3*i, 5*x + 4 = 2*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 263*a - 256*a - 455. Suppose 2*y - 81 = -a. Suppose 0*i - 60 = -5*i. Calculate the remainder when i is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -1\/125229, -2067, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-12) + -3)\/((-2)\/(-24)). Let q be p*8\/(-144)*2*3. Let i(n) = 76*n**2 - 77*n**q - n - 3*n. What is i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 808 to the nearest 10.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79560139 + 3?\nAnswer: 79560142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*o**2 + 101*o**2 - 201*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/12525 and 17\/2181855?\nAnswer: 10909275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/40 - y**5\/30 - y**4\/12 + y**3\/3 - 100*y**2. Determine u(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/81)\/((-30)\/(-1080)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 396595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/66 - (-2)\/3. Let q = 1386 - 1388. What is the nearest to q in 0.4, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c - 4*x, x = -3*c + 3*x + 6. Find the second derivative of -6*n + 9*n + 6*n**2 + n**c wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/658302 and -14\/1865189.\nAnswer: 11191134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 6, e: 1, z: 3}. Give prob of sequence gz.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 4 (b) -1\/9 (c) 1\/2 (d) 230 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 893294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2 (b) -1\/2 (c) 0.1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4296.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3704257425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 20*q - 64. Let l(o) = -o**2 - 7*o + 20. Let i(u) = 2*b(u) + 7*l(u). Determine i(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(99) - (3 + 2*sqrt(99)) - sqrt(99)) + -5 - ((sqrt(99) - 1*sqrt(99)) + -1)*-4)**2 + -3.\nAnswer: -2163 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618337849.\nAnswer: 3, 6197, 140839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122*8\/(64\/(-40))*(-27 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/8*2*2. Let q(f) = -12 - 7 - 16 + 7*f. Is 9 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3565 - -3548) + 46 + -1 + 1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 11) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093 is divided by 303.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7525 + 7367. Which is bigger: h or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3217.553 litres to millilitres.\nAnswer: 3217553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 73*t**2 + 76*t**2 + 3 - 152*t**2)*(-t + t**3 + t).\nAnswer: -3*t**5 + 3*t**4 + 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1900) + -2 + sqrt(1900) + -4)*4 + 4)**2.\nAnswer: -99200*sqrt(19) + 3055376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.05\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -395 - -315. Let d = -238\/3 - f. Determine n, given that -2*n**4 + 0 - 2\/3*n**3 + 4\/3*n - d*n**5 + 2*n**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 0)*-5 - (2 + -3*sqrt(448))**2) + 5.\nAnswer: -4031 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o. Let x(g) be the first derivative of 5*g**3\/3 - 23. Calculate x(t(w)).\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -60*j + 63*j. Calculate the least common multiple of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16660)\/(-168))\/(-17)*(-10 + 4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781879.203ms in weeks?\nAnswer: 0.0012927896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1650)\/264)\/(((-52)\/16)\/(-13))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and -3.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -191*j - 114*j - 384 + 382*j - 155*j. Determine w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l - 1. Let c = -10 - -14. Suppose -1 = 3*d - c. Calculate v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 19 = 3*v, 2356*v = -2*f + 2359*v - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4480 - 4480 + u**2. Let k(b) = 20*b**2 - 5. Calculate k(s(o)).\nAnswer: 20*o**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose 0 = -3*s + v*w + 3*w + 5, 0 = -3*w - 3. Let a = -30253 - -30265. Solve -3*h + a = -s*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 + -3 - (2 + -7)) + 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.041 (b) 41 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/40328 and 37\/22.\nAnswer: 443608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 7:11 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29224 - 116157\/4. Let p = j - 184. What is the nearest to 2 in -1, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5\/(-30)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uekkqdmddmdm. What is prob of sequence kd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 5601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - j + 23, -5*n + 4*j + 22 + 5 = 0. Suppose -4*b + n*b - 40 = -5*x, 3*x = -3*b + 36. What is the highest common factor of b and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -7.56, 5, 43, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, q: 1, y: 1, a: 3}. What is prob of picking 1 q and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2648.047 years?\nAnswer: 264.8047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 16. Suppose -f = 3*d - m, -4*f - 4*d + 42 = 6. Suppose 3*x - 8 = 2*x + 2*n, f*x = 3*n + 26. Calculate the highest common factor of x and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588854 by -289.\nAnswer: 588854\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23844.708 months?\nAnswer: 1987.059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.077 + 35.923. Let r = m + -35.72. Let s = 3.72 + r. Sort -1, -2\/17, s.\nAnswer: -1, -2\/17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let s be 0*1\/3 - -10. What are the prime factors of -14*(s\/14 + r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3*(98 + 11 + -7). Let x = 547\/4 + n. What is the nearest to -0.1 in -0.09, -2, x?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191070 and 90?\nAnswer: 191070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35350156 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + s + 9 = 0, 2*g + 3*g - 15 = 4*s. Suppose 132 = o - g*y + 7*y, -3*o = 3*y - 378. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*g - 5, 4*n - 30*g + 27*g - 35 = 0. Let z(b) = 5*b + 4. Let w(i) = -9*i - 7. Let u(l) = 3*w(l) + 5*z(l). Determine u(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 41 - 34 = 0. Which is smaller: t or 2\/893?\nAnswer: 2\/893","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 + -5 + (952 - 1034)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -825*u**2 + 4995*u - 12. Determine z(6).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -65\/6*y**3 - y + 0 - 17\/2*y**2. Is r(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppoppoopoooo. What is prob of sequence pop?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/16, -0.2, -5, 33\/4, 1\/2, 3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/1)\/((3\/(-2))\/(-3)). Solve -161 + 90*n**2 - 80*n**4 - l*n**3 + 151 + 5*n + 23*n**5 + 3*n**5 + 49*n**5 = 0 for n.\nAnswer: -1, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.133142 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 - w**2 - 6*w - 5. Give l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/208012 and 49\/1207?\nAnswer: 14768852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:30 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5081 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/26, -2, -0.05, 3, -16, -0.5 in decreasing order.\nAnswer: 3, 3\/26, -0.05, -0.5, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606 (base 7) to base 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**(7\/2))*(((u\/u**(-5)*u)\/u*u)\/u)\/u*u*(u**(1\/4))**(-31) assuming u is positive.\nAnswer: u**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(2*m**4 + 2*m**3 - 2*m**3) - 29*m**4 - 32*m**4 - 26*m**4 + (-4*m + m + 2*m)*(2*m**3 - 2*m**3 + m**3) - m**4 - 5*m**4 + 0*m**4.\nAnswer: -92*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**6\/v)\/v*v)\/v)**(-5) assuming v is positive.\nAnswer: v**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000429 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.158 times 5887.8?\nAnswer: 6818.0724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.119 (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 + 2*c + 12. Let i(u) = -u**2 - u. Give -6*i(r) - v(r).\nAnswer: r**2 + 4*r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.034 - 1.034. Let j = -0.29 + 24.29. Let k = j - x. Which is the smallest value? (a) 2 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*r**2 - 2*r - 294 + 18*r**2 - 37*r**2 + 4*r as f*r**2 + i + d*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 59*o**5\/60 + 7*o**4\/24 + 15*o**2. Let n be c(10). Suppose -10*f + n + 1370 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 11*n**2 - 33*n - 43. Calculate the lowest common multiple of m(-13) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-244)\/3*27\/(-6). Suppose -3*t = -w - 233, 5*t + w = z + 33. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 3)\/(-4)*(-5)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 35. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = -d + 28, 4*j = -2*d - 64. Put 0, 2, j in descending order.\nAnswer: 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.952657 centuries in years?\nAnswer: 895.2657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (0 - 3\/1). Let x = 46 - t. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5 + 2*l - 2*l - l**3 + 5*l**2. Let r(t) = t**3 - 2*t**2 - 2. Suppose 7*a - 8 = -2*i, -34*a + 29*a = 4*i + 2. What is a*j(h) + 5*r(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4580 and 53\/10?\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/32 + 19\/96. What is the third biggest value in 0.08, -2\/5, 0.3, q?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -15. Let m = -2 - k. Let c = -1 - -3. What is the greatest common factor of m and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 11*w - 62, -2*v - 3*w + 1248 = -w + 1224 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 218791*p**2 + 662*p + 2648. Let l(w) = -990*w**2 - 3*w - 12. Let y(m) = -662*l(m) - 3*x(m). Let s(c) = -2*c. Give s(y(f)).\nAnswer: 1986*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26\/3 (b) 2\/7 (c) 74 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8042, -15789, -23346, -30617, -37506?\n\"Answer: 16*z**3 - z**2 - 7856*z - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(15\/4). Let t = -0.1 + 0.6. Suppose 3*n - 5*n = 2*n. Which is the closest to 0? (a) k (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71162*a**2*t*z - a**2*z - 8*a*t + 808327*t*z with respect to a.\nAnswer: 142324*a*t*z - 2*a*z - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, g: 6, d: 7}. Give prob of picking 2 d.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**5 + 4480*m**4 + 615375*m**3 + 23969600*m**2 + 67668220*m + 44309520 = 0.\nAnswer: -738, -79, -76, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4 - -2)*-4. Suppose 29 = 2*p + 9. Let f = p + y. Solve -o + 4 = 5*j - f*j, 10 = 5*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 0.54. Which is the third biggest value? (a) 3 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3 + 110*q**2 + 12*q - 11 wrt q?\nAnswer: -6*q + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 995, 2217, 3933, 6149?\nAnswer: 8871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -480, -477, -474, -471, -468?\n\"Answer: 3*i - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 840109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1014 + 6?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h - 1308. What is k(-118)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 35. Let w be l(17). Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 8*g + 5. Let d(f) = f**2 - 8*f + 5. Let p(t) = -3*d(t) + 2*h(t). Let z be p(7). Let j be 9*(3 + (-16)\/6). Which is bigger: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 48, 49, -7352, -2, 3 in descending order.\nAnswer: 49, 48, 3, 2, -2, -7352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + k - k)*(13*k**2 + 44 - 44) to the form c*k**3 + i*k**2 + p + a*k and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j - 211 = -3*j - 79 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100.2125 seconds to minutes.\nAnswer: 18.336875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 273*q*w**3 + 2*q*w**2 - 3*w**3 + 174 with respect to q.\nAnswer: 273*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41024322 + -1420?\nAnswer: -41031242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(-3 + sqrt(36)\/sqrt(3)) - ((sqrt(144)*2)\/sqrt(12) + (sqrt(432) + -1 - sqrt(432)))) + 5.\nAnswer: -40*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - r + (0*r + 69*r + 33*r)*(4 - 3 - 2) to u*r + d and give u.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2663580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -2 - ((-3 - 0) + -4 + 188 + -175).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/2 + -99\/10. Let n = 0.6 + -0.1. Let u = 0.03 - -4.97. What is the nearest to 0 in u, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7808, -8046, -8294, -8558, -8844, -9158?\nAnswer: -9506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) 0 (c) 2\/9 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 = -5*l + 3899. Suppose 0 = 2*b - l - 554. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243274 (base 11) to base 5.\nAnswer: -44304412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (17 - 24) - -10.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1 + (sqrt(432) - (sqrt(432) + sqrt(432) + -1*sqrt(432))) - (3 + 2*sqrt(432))) + 3*4*sqrt(432)*3))**2.\nAnswer: -13056*sqrt(3) + 1997632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1059*p + 463. Let t be x(-11). Suppose -9*g + 25*g - t = 0. What are the prime factors of g?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130802, -130755, -130674, -130553, -130386, -130167?\nAnswer: -129890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 5, -0.1, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 9. Let j(l) be the second derivative of l + i - 7\/6*l**3 + 0*l**2. Let q(t) = 2*t. Determine j(q(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**2\/2 + 1. Suppose 0 = -3*u + 12, 5*u = -2*s + 3*u. Let b be k(s). Let y(w) = w**2 - 4*w + 3. Calculate y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-837)\/31*1\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.028 - -0.001. Let g = -0.073 + u. What is the third biggest value in g, 2\/11, 2, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-330)\/2525*((-546)\/(-168) + (-6)\/8). What is the third biggest value in y, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 24 = 5*h - 4 + 22, 2*h = -4*z + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**2 - 20*u**2 - 5*u**2 + 0*u**2 + 6 + 7*u**2. Calculate z(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-16)\/12*(-779)\/532*14.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1926.52 times -2.4?\nAnswer: 4623.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/1)\/(((-1)\/2)\/((-323)\/(-646))*-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -406, -5, -68, 11 in descending order.\nAnswer: 11, 2, 0, -5, -68, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -26. Suppose i*j + 10 = 7*j. Factor 1\/2*x**4 - x**j + 1\/2*x + 1\/2 - x**3 + 1\/2*x**5.\nAnswer: (x - 1)**2*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, 1\/5, 1, -89 in ascending order.\nAnswer: -89, -0.5, -0.2, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 125072*v**3 + 10408532*v**2.\nAnswer: -4*v**2*(v - 83)*(v + 31351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 26*g - 9*g - 180596. Does 151 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5*a - 3 - 1.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 941158, 941249, 941340, 941431?\nAnswer: 941522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/30 - 4\/6. Let w(n) = 1. Let u(y) = -2*y + 3. Let k(p) = -u(p) + 2*w(p). What is k(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7018148657 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 36 = 22*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 16*q - 2. Let i(k) = -k**3 - 10*k**2 + 2*k + 8. Let o be i(-10). Is l(o) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-672)\/210)\/((-2)\/(-5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6072670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 14. Let t(g) = 3*g - 14. Let r(j) = 2*q(j) - 3*t(j). Let z be r(-6). Let w = z - 14. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 5. Let n(s) = -s**3 - 3*s**2 - 4*s - 4. Let x be n(-2). Let d be r(x). Solve -d*l + 4*c = -11 - 22, -3*l - 3*c + 9 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 5*v + 5. Let l(y) = 3*y - 1. Let n be l(2). Let p(j) = j**2 + 2*j + 2. Let h = 27172 + -27174. Give h*u(i) + n*p(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 37*i**2 - 26*i + 49. What is the tens digit of k(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1314, -2613, -3888, -5127, -6318?\nAnswer: -7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 3*s + 6. Let q be m(6). Let b be ((-30)\/(-18))\/((-20)\/q). Suppose 22 + 14 = v. What is the highest common divisor of v and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 31*h = -252. Let s be (-16)\/(-56) + 32\/h. What is the nearest to 0.08 in -3, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -7. Let a = 378 + -375. Suppose 2*m + 2*h + 8 = 0, -a*m - 6*h + h = 16. What is the nearest to m in -4\/7, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45630 (base 8) to base 6\nAnswer: 225332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107272 divided by -212?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12012341 divided by -1\nAnswer: 12012341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29781.\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 3. Is i(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 10*n\/7 - 4.\nAnswer: 2*(n - 7)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/5)\/((-9)\/45). Let t = 18 - j. Let s(l) = t - 25*l**2 - 4 - 5*l + 20*l**2 - l**3. Give s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 376 - 379. Let t be i\/(-7) + (-50)\/(-14). Solve -t*n + 7 = -1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 30*j**2 - 34*j - 101. Let l be p(-31). Let d(g) = g**3 + 9*g**2 + 8*g - 3. Give d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, u: 8, d: 2, h: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5)*2 + 65\/(-650). Is q >= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 3*j + 43*j**2 - j - 59*j**2 to the form o + d*j + k*j**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/15, -1070, 1.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/65352 and -5\/2096.\nAnswer: 17122224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {d: 3, u: 9, l: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4.4. Let s be (-5)\/(-2) + -2 - 21\/(-14). What is the second smallest value in s, l, -4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.082797*-18.2.\nAnswer: 37.9069054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11702 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a726 + 1?\nAnswer: a727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 351 + -1120\/3. Find the common denominator of (-4 - (-620)\/175)*-5 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**2 - 183*f - 15. Let r(q) = 14*q**2 + 366*q + 27. Give -9*k(m) - 5*r(m).\nAnswer: 2*m**2 - 183*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 2*k**2 + 5*k. Let w be h(2). Suppose -3*z - 8*y = -4*y - 142, 88 = w*z + 4*y. Calculate the greatest common factor of z and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(3 - 1))\/(-2). Suppose 6 + a = -x. Let u(c) = c**3 + 5*c**2 - 7*c - 3. Let q be u(x). Solve -j - 2*h - 6 = q*j, -h = -2*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3969 and 30845205.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((396\/(-81))\/22)\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 0. What is the third derivative of -5*g**2 + 0*g**2 + 2*g**i - 5*g**3 + 2*g**3 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615300 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3 - (3 + 1)) + 11 + -21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/7 (b) -51 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + g - 1013 = 0, -7*g - 326 = -r - 5*g. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 3 (c) -3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -120 (c) -4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 342, 498, 656, 816, 978?\n\"Answer: w**2 + 153*w + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*0.5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -c - 5*d, -4*c - 45932 = -d - 45842 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 1:55 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + (3 + 0 - 1)*(2 + 3 + 5) + 0 + 3 - 1)*((-1 - 3 + 2)*(0 - 6 + 4) + 0 + 1 + 0)*(-2*m - 2*m + 2*m).\nAnswer: -230*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 + 4. Let y be x(4). Let w be (y - 1)\/(-1 - -2). Suppose 0 = -w*m + 50 + 61. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(2*w - w - 3*w) + (0 - 9*w - 1 + 8*w)*((2 - 1 + 0)*(0 - 4 + 2) + 1 - 2 - 1) to y*w + r and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 564\/(-180) - 2\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6340599.\nAnswer: 3, 97, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12254, 24540, 36864, 49244, 61698, 74244, 86900, 99684?\n\"Answer: 3*w**3 + w**2 + 12262*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/15))\/c*c*(c\/((c**(2\/9)*c)\/c))\/c)**(4\/13)\/(((c**(-1\/4)*c)\/c)\/((c\/c**(-3\/2)*c)\/c))**40 assuming c is positive.\nAnswer: c**(64466\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5. Let a be p(0). Suppose a*x + 2954 = 12*x. What are the prime factors of x?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1160 and 19256?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 13*u**2 + 3*u**2)*(-8*u + 207 - 207 + (-4 + 1 + 4)*(u + 2 - 2)) to h*u + i*u**3 + c*u**2 + v and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9667*p = -4*n + 9663*p + 52, 4*p - 40 = -3*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*y - 5*k, 2*y = 4*y - k - 12. Sort -0.3, 0.1, y, -3 in descending order.\nAnswer: y, 0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrsqrrrrqrsrrqr. What is prob of picking 2 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 51*h**3 - 315*h**2 + 11*h + 17. What is the remainder when d(7) is divided by 179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -366100000 to the nearest 1000000.\nAnswer: -366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315\/(-45) - (-35 - -2) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 1675 - 1040 = 56*s + 1201 for s.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a meter in centimeters?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-221) - 0)*(-32 + 34)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 4\/20*8. Sort n, -4, 2, 2\/213.\nAnswer: -4, n, 2\/213, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 132334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/42)\/(132\/594)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2899a8 (base 11) to base 7.\nAnswer: -3562666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 459 = 11 + 626. What is the greatest common factor of o and 2329?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-1)*(-14)\/(-1820)*(-50)\/10.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -47, -38, -25?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 20*t - 3. Suppose -r + 32 = 3*f + 3*r, -f - 1 = -r. Let w = 13539 + -13550. Let s(u) = 7*u - 1. Give f*j(n) + w*s(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k**2 - 321*k - 32. Determine h(23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkrkkrrkkkkekp. What is prob of sequence kr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 - 2 = 0. Let c = -9 - -6. Let y = o + c. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 5*w - 10 - 6*w. Calculate the remainder when z(-9) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629221 is divided by 345?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -y - 2*y. Calculate the common denominator of (y\/36)\/((-2)\/8) and -65\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 36*a - 238. Suppose 3*p + 121 = a*p. Calculate the remainder when 31 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -37\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17514*u**2*z - 78*u**2 + 2*u*z - 13172*z + 30 with respect to u.\nAnswer: 35028*u*z - 156*u + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 3*r, -4*s - 2*r + 3 + 11 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3380*g**5\/3 + 2444*g**4\/3 + 7639*g**3\/3 + 1928*g**2\/3 + 115*g\/3 + 2\/3 = 0. What is g?\nAnswer: -1, -1\/5, -1\/26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*b + p, -739*p = 4*b - 738*p - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-57)*((-14859)\/(-390))\/(-127).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 643. Let d be s(0). Let k = d - 447. Suppose -5*a - 3*y + 243 = 0, 4*a + 4*y = -0*a + k. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -276*n**3 + 90*n**2 - 439. Find the second derivative of s(u) wrt u.\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/((-5)\/(-180)). Suppose 0 = p - 5, 0*p + 36 = -2*t + 4*p. Let j = t - q. Solve 0 + j = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 52 = -27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57586021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 3*o**4\/2 + o**3\/3 + o**2 - 3*o + 662. What is v(2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 749, 1\/59, -15.8, 3 in descending order.\nAnswer: 749, 3, 1\/59, -15.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -0.3 (c) 5 (d) 18\/101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204)*5 + sqrt(204) + sqrt(204)*-1*-3)\/(-2*sqrt(192)*-2).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + b**2 - 1. Determine i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175497 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -5 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tis when three letters picked without replacement from siwdt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 f when three letters picked without replacement from skyfytystktfsyy?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 4. Let i be 2 - m*10\/(-27). Let f = -0.04 + 0.14. Which is the closest to i? (a) f (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 18, c: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627\/12 - -2*(-4)\/32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 216*j**2 - 17*j - 1818. Determine g(-108).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102002210212022 - -11?\nAnswer: -102002210212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 95 = 4*l, 5039*t = 5044*t - 3*l + 85 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3 + 151731*g**2 + 151728*g = 0.\nAnswer: -50576, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -23*q**3 - 27*q**2 + 11*q + 229. Let s(k) = -6*k**3 - 7*k**2 + 3*k + 61. Determine -4*p(u) + 15*s(u).\nAnswer: 2*u**3 + 3*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**2*q**4 + 4*h**2 + 6*h*q**4 - 3*q wrt q?\nAnswer: -84*h**2*q**2 + 72*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 227672*g + 4781553.\nAnswer: -(g - 21)*(g + 227693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/5)\/b)\/b)**(-2\/11) assuming b is positive.\nAnswer: b**(14\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + n**2 - 1)*(1335 + 1511 + 397) as h*n + c*n**2 + g and give c.\nAnswer: 3243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100110000011001 - 1010010110?\nAnswer: -1111100111010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 17. What are the prime factors of d\/4*8\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 21*d**2 - 20*d - 13. What is f(20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5758 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 370*r**2 + 9400*r + 3769. Give h(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-4) - (22 - 2)\/(-4). Solve -c + 1 = p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 3}. Give prob of picking 2 r and 1 e.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163 + 337. Suppose -c + y + 2*y = -w, 5*c + 5*y - 950 = 0. Let g = c - 119. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-6)\/(-20)). Suppose -675010 = o*t + 5*v, -2*t + v = -v + 269996. What is t rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25854254 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - 2*(-94)\/20. Suppose -14*i = -j*i - 53145. Suppose -1619 - i = -8*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -39 + 4. Let p(a) = -a**3 + 13*a**2 - a. Let i(t) = 2*t**2 - t. Let x(y) = 3*i(y) - p(y). Determine x(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:28 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - d**2 - 3*d - 8. Let s be k(4). Let v be 3 - (58\/s - 3\/(-6)). Which is the nearest to 1? (a) -2 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45627588 and 59204?\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2\/13, 0.5, 3\/4, 5\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 + 4*o - 6. Give w(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwmwwmwmwmwwmwmmm. Give prob of picking 1 m and 1 w.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 4*p**5\/15 + 17*p**4\/12 + 55*p**3\/6 + 51*p**2 + p. Is h(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-316)\/24 - 11\/(-22))*-129.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfffrfrsrfrrrffrrrrf. What is prob of picking 2 f?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + (2 - 5))\/(-1). Put -1\/8, h, 0 in descending order.\nAnswer: 0, -1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*i**4 - 44*i**3 + i - 4290?\nAnswer: -32*i**3 - 132*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6118)\/(-230) - (-2)\/5. Suppose 0 = 4*l - x*l + 391. Solve 16*f + 5 = l*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {m: 4, c: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 6. Let a(n) = -n + p + 2*n + 3. List the prime factors of a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1934.069 in descending order.\nAnswer: -2, -3, -1934.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 4*n**2 + 39*n - 37*n as t + h*n**2 + y*n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2677563 divided by -892521.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 4*o - 5*o + 24*o**3.\nAnswer: 24*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -655459334*n**2 - 254916334*n.\nAnswer: -1310918668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/980 and -33\/280.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12138 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-213 + 210)*188\/138 + (-2)\/(-23). Let j(o) = 6*o**2 - 17*o - 4. Let x(m) = -17*m**2 + 51*m + 11. Determine d*x(r) - 11*j(r).\nAnswer: 2*r**2 - 17*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 163, -14589 in ascending order.\nAnswer: -14589, 0, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5753 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444452551 to the power of 1\/3, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*y - 87*y + 21 = 0. Solve 0*n - 9 = y*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 + 6. Let w = 1 - -2. Suppose 0*i = -2*i - 3*a + 13, -23 = -4*i - w*a. Give b(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-96)*12)\/(102\/4760) + (-4 - -5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -244 bigger than -252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.99 - -5.09. What is the third biggest value in g, -0.2, -2\/3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 minutes before 1:21 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223665360?\nAnswer: 2, 3, 5, 43, 21673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7031505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 1. Let g(s) = -3*s + 0 - s - 3. Calculate the remainder when 26 is divided by g(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5145\/1204 + 7990\/(-1880).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 16*x**2 - 13*x + 30. Let a be d(-15). Let t be a\/(-1) - (-139)\/1. Suppose -t = -2*v + 245. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 191.\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51460464 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Let r be 9\/(-11) - (-3 + 2). What is the third biggest value in b, r, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13124008505 rounded to the nearest 1000000?\nAnswer: -13124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75648005 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/95, -5, 3?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 6) to base 8.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-164)\/205)\/(8\/10 - 1). Suppose -26 - 14 = -8*a. Find the first derivative of a*s**4 - 8 - 6*s**c - 11*s**4 + 2 wrt s.\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1332*r**6 + 3099*r**2 wrt r?\nAnswer: -159840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*3 + 14 + -14. Suppose 2*b - 24 = p*s, 2*b + 3*s - 3 = 6. Suppose -d + 81 = -0*d. Calculate the highest common factor of b and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5683029 nanometers?\nAnswer: 0.0000000005683029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 3739 = -15*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, 1381, 5372, 13159, 26008, 45185?\nAnswer: 71956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 171*g + 45. Determine i(171).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/8 + 7\/8. Let m be (2\/(-44))\/((-19)\/76). Which is the third biggest value? (a) 22 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*h + 1 = -8, -2*h + 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -232620?\nAnswer: -9304.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 3*s**2 + s + 1. Determine f(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) - (-10 - -8). Suppose 114 = q*d - 106. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -21*b**2 - 2682*b - 45058. Calculate k(-20).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -108, -49, 2, 45, 80, 107, 126?\n\"Answer: -4*q**2 + 71*q - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 10 = -b, 5*b + 4*j - 30 = -j. Calculate the greatest common factor of b and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 41*n - 700. Let l be x(54). Which is the nearest to 2\/3? (a) -7 (b) 0.5 (c) -52 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:50 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*s**5 + 228*s**4 - 1096*s**3 + 1860*s**2 - 400*s = 0. Calculate s.\nAnswer: 0, 1\/4, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*d = 11*w - 455, 182 = 2*w - d. Suppose -15*k = -2*k - w. Find the first derivative of -88*j + 32*j**3 + 88*j + k wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179219.066 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4110972 is divided by 454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 558 times 43.3\nAnswer: 24161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 + 1 = 0. Let i = q + 16. Solve -5*a + 3*h + 4 + 18 = 0, 0 = -a - 5*h + i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (28 + -38)) + -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220 - 431. Let x = -73 - h. What is x rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253623.5ml in litres?\nAnswer: 253.6235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -70. Suppose 84 = w + 4*w + 3*r, t = 3*w + 4*r. What are the prime factors of (8\/5)\/(6\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 1)*(-7 + 8). Suppose 0 = b - 2*t - 16, 2*t + 15 = c*b - 41. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79493230?\nAnswer: 2, 5, 7949323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6952039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, a: 2, g: 3, c: 3}. What is prob of sequence ogc?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -1\/4*c**4 - 1\/15*c**5 + 2*c - 6*c**2 + 4\/3*c**3 + 0. What is the second derivative of j(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 times 13?\nAnswer: 6747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.159634+0.12\nAnswer: -0.039634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(-188) + ((-12)\/(-30))\/(19\/(-45)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2594365 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54159, 108293, 162431, 216573?\n\"Answer: 2*p**2 + 54128*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 915940962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*h**3 + 0*h**3 - 46*h**3 + 43*h**3.\nAnswer: 57*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*t**2)*(-t - 4*t + 6*t + (7*t - 3*t - t)*(-4 + 1 + 0)) to o + w*t**2 + f*t**3 + z*t and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 6. Let n be h(6). Suppose -2 = 2*z - 3*z. Find f, given that -3*f**z + n*f + 3*f - f - f = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*w - 280*w = 0. Let j be ((-3)\/(-9))\/((-1)\/(-3)). Solve -g + 1 = -h - j, w = 2*g + h - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**2\/2 - x + 2. Suppose 9 + 15 = -4*g. What is the units digit of p(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 29*y + 70. What is s(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**2*u + 311158*s**2 + 89813*s*u + 3*s wrt s?\nAnswer: 6*u + 622316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 4*i - 5*i)*(-4*i + 4*i + 2*i) - 30*i**2 + 58*i - 58*i to q*i**2 + k + y*i and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 10*z + 21. Determine i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34659 and 234.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 3*v. Let x be s(-3). Let y(a) = -a**2 + 15. Let k(q) = 5*q - 7. What is the remainder when k(10) is divided by y(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (6 + (-8 - -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 0.11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 greater than or equal to -69.06682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 810, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 4, 1\/4, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b + 4*b**2 + 0*b**3 - 3*b**3 - 6*b + 5*b**3 to the form t*b + g + d*b**3 + z*b**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r**2*u**2 + 53*r**2*u + 17*r*u**5 - 65*r*u**2 - 142*r*u wrt u.\nAnswer: -14*r**2 + 340*r*u**3 - 130*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwf when three letters picked without replacement from {h: 7, f: 4, a: 1, w: 3, x: 4, g: 1}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -132.4 - -139. Round i to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**7\/210 - o**6\/60 - o**5\/15 + o**4\/12 + o**3\/2 - 2*o**2 + 118*o. Factor g(d).\nAnswer: (d - 3)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 1043*o + 1039*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/10327855, -2\/9, 3 in increasing order.\nAnswer: -2\/9, 9\/10327855, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 90.75003l?\nAnswer: 90750.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1392569160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 13, 26, 55, 106, 185?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)*g**(-2\/7)*g)**(-1\/88) assuming g is positive.\nAnswer: g**(-1\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**3 - 16*n + 16. Let i(u) = -u**3 - 3*u + 3. Suppose 0 = 2*j + j - 15. Suppose j*o + 42 = -13. Calculate o*i(t) + 2*d(t).\nAnswer: -t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1.8. Suppose -44903*t = -44897*t + 30. Which is the second biggest value? (a) o (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*c + 984*c - 4*v + 48 = 0, -5*c - 3*v = 159 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:06 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = 6. Suppose -j = -o*j + 4. Find z such that 0 + 2\/7*z + 2\/7*z**j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*d**3*p + 436257*a**2*d**2*p**3 + 40*a*d**3 - 83*a*d**2*p**3 - 233*a*p - 2*d*p**2 wrt a.\nAnswer: -6*d**3*p + 872514*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3\/4 - 9*v**2 + 33*v + 298. Factor t(h).\nAnswer: 3*(h - 22)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + 2)*53\/106\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4573061 is divided by 2773?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((8 + -6 - 0) + -14) - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2205 divide 3155425560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5 + 12*u**4 + 53*u**3 + 102*u**2 + 72*u = 0 for u.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 240\/32*(-6)\/5. Let w be 6\/4 + t\/4*-74. Calculate the greatest common divisor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24) + (-4)\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1578 + 682. Let o = q - -896.0001247. What is o rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -157*p - 15. Let w be o(7). Let x = -83 - w. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1906177 - -0.3876546. Let l = 0.197 - c. Round l to six dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 204*y**2 + 131*y + 7796. Determine s(103).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltlltlltltttttlt. Give prob of picking 1 t and 1 l.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 + 10*b + 3. Let f be k(-7). Is 8 a factor of (f - -4)\/(2\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-36)\/21)\/((-1)\/1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 419*q - 339. Is a(50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/17 - 119628*g**2\/17 + 1196130*g\/17 - 2990200\/17.\nAnswer: 2*(g - 59804)*(g - 5)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -346?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n, -g = 5*n - 17 - 12. Let c = 1 + g. Suppose 8 = -4*t, -c*i + 8*t = 4*t - 403. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -13\/3 (c) 1\/5 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3449 + 7187. Calculate the greatest common factor of k and 4539.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 6500*g**4 - 452284*g**3 - 1395892*g**2 - 1408912*g - 471808 = 0 for g.\nAnswer: -1, 76, 1552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + t + 2*t + (-1 - 1 + 3)*(-2*t + 0*t + 0*t) + (8*t - 5*t + 12*t)*(0 + 1 + 1).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*1*(3 - 0). Suppose f*l + 4*s - 2496 = s, -4*l + 5*s = -3310. What is l rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from mikvvmiomiw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:52 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7916, 7927, 7944, 7967, 7996, 8031, 8072?\n\"Answer: 3*c**2 + 2*c + 7911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 32*l - 171. Calculate the remainder when x(-10) is divided by 12\/(6\/(-8)*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q - 1939. Let a(l) = -2*l. Calculate r(a(u)).\nAnswer: -18*u - 1939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*o + 267*o + 178*o.\nAnswer: 377*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*o + 528 = -110*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfpm when four letters picked without replacement from {p: 4, k: 3, n: 1, f: 1, x: 1, m: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -9\/11, 3.\nAnswer: -4\/3, -9\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*d = 2*d + 162, d = 5*m - 204. Solve m*r - 96 = 29*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 2*i + 1. Let w be r(1). Let o be (-8)\/w - (-6)\/(-9). Solve -y + o = 2*p, -3*p + 12 = -2*y + p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122600 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:24 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**2 - h - 1. Let g be l(2). Solve 0*p - p - g = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 17*d - 12. What is s(17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-4)*0 - -144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((17 - (4 + 0)) + -6)) + 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = d + 9, 0 = 2*m - 4*m - 4. Find the common denominator of -43\/18 and (-14)\/d*(-2)\/8.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4029420 and 73.92812.\nAnswer: -4029346.07188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 8 = -4*q, 0 = 4*z + q + 2. Let y be (z - 0)\/(-3) - -2. Solve -y*m = -5*f - 15, -2*m - 3 = 2*f - 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 51*r**2. Let c(s) = s + 4. Let n(i) = -11*i - 22. Let y(v) = -11*c(v) - 2*n(v). Give p(y(j)).\nAnswer: 6171*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2319842.3956?\nAnswer: 2319838.3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -74*w + 320 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elbpe. Give prob of sequence le.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/5, 39.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -10. Let c(k) = 2*k**2 - 4*k + 2. Let b be c(2). Is -10*1\/b*r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3, 5*u + 183*j - 179*j = 117. Solve -3*h - 22 = 5*c - 0, -u = 4*h + 5*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/778 and 11\/2334?\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-16\/7)\/(k*(k**(2\/23)\/k)\/k) assuming k is positive.\nAnswer: k**(-221\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*i - 10*y + 14, 3*y - 9 = i. Suppose 5*h - i*h = -120. Let k = h - -68. Calculate the highest common factor of k and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 158a4 - -5?\nAnswer: 158a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o + m, -m + 4 = -5*o. Let b = 584\/2709 + 2\/301. Let c be (3\/(-12))\/(9\/(-18)). What is the second biggest value in b, o, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*m + 5*f - 9, -2*f - 29 = -5*m. Let g be 3*-1 + m + 2. Suppose 0*n - g*n + 1492 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237.5 - -237.5. Is x != -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484847 and 590499.\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -y + 3*k - 5, -3*y + 3*k = -30. Suppose a - y*m = -8, 4*a - 3*m = -m + 22. Suppose z - 12 = a. Calculate the remainder when 37 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107.7949011 + 0.241\nAnswer: 108.0359011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-6))\/l)**(-1\/3) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1000010001 (base 2) to base 7\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2044679 and 2275.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3085453 + -6?\nAnswer: 3085447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:46 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 133596*h - 133592.\nAnswer: -4*(h + 1)*(h + 33398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssslsssls. What is prob of picking 3 s and 1 l?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:35 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 11*u**2 - 26*u + 5. Let r be l(-13). Solve -5*f + 4*w = 2*w - 4, -r*w = 5*f - 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(((-33)\/220)\/(72\/30))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 347.4987 centuries?\nAnswer: 34749.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 51365b7?\nAnswer: 5136600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.054\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o - 5, -5*o - 25 = 4*s. Suppose -6*n + 201 + 27 = s. Suppose -n*m + 145 = -33*m. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 195, 201, 221, 261?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g - 6. Solve 0 = -2*v + 4*p - g, 3*p - 9 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002194 rounded to 5 decimal places?\nAnswer: -0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(36\/8)*(4 + 67). Is 6 + (-12)\/2 - t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 42. Let s(d) = -d - 16 + 16. Let x be s(3). Put x, z, 1 in increasing order.\nAnswer: x, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3095*g**2 + 83*g + 61. Is c(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/2 - 228*u + 25992 = 0.\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6001 and 1765?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 4\/2 - 136\/51. Factor 0 + w*p**2 + 1\/3*p.\nAnswer: p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 25947?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. Suppose -2*n = -m*n. Suppose n = 4*w - 43 + 7. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = r - 5*y - 6, 31*r - 65*r - 58 = -37*r + 4*y for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + b - 97. Calculate the remainder when 584 is divided by l(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 12:03 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j + 152 = 0. Let x = 45 - j. Suppose 0 = 4*l - 2*n - 50, l - 2*l + x = 5*n. Calculate the lowest common multiple of 20 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -260, -1034, -2324, -4130?\n\"Answer: -258*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820100?\nAnswer: 2, 3, 5, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39499036 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1746, 13, -5 in decreasing order.\nAnswer: 13, 0.5, -5, -1746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18427, 36768, 55107, 73444, 91779?\nAnswer: 110112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*v**2 + 8\/9*v + 8\/9.\nAnswer: 2*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839 is divided by 100.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1758*r**2 - 27*r - 15. Let l(y) = 1760*y**2 - 23*y - 13. Give 7*l(d) - 6*z(d).\nAnswer: 1772*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*b**2 - 1597*b**2 + 501*b**2 + 503*b**2.\nAnswer: -88*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2503 is divided by 891?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2436313 - 2.\nAnswer: 2436311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -81123 - -395\nAnswer: -80728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 344.17\nAnswer: 3441.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2059.951 rounded to the nearest 10?\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 32 - 89. Suppose 4*h - 114 = -42. Let c = o - h. Solve 2*a + 5*y = -15, a - 4*y = -0*y - c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let k be a(0). Suppose -n - n + 180 = k. What are the prime factors of n*((-12)\/(-10))\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -8*t**6\/5 - 7*t**5\/5 - t**4\/6 + 985*t**3\/6 + t**2 - 6123*t. What is the third derivative of y(v) wrt v?\nAnswer: -1152*v - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.79888 - -11.50878. Let r = t - -51.190113. Let y = r + -0.9. Round y to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 21199957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-780)\/2002)\/((-24)\/70*(55\/(-3))\/11).\nAnswer: -15\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 3710472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310739.\nAnswer: 11, 13, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 646*i - 14858. Give u(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -0*f + 2178. Suppose 3*o + 0*o - 4*v - 418 = 0, v + 287 = 2*o. Let c = f - o. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2969*f**3 + 2*f**2 - 3 + 160*f**4 - 5930*f**3 + 2962*f**3 - 4*f**2 - f in the form c*f**3 + t*f + x + l*f**2 + y*f**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384428833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:14 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50168928 or -50168926?\nAnswer: -50168926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 1)*(2 - 2 + 5)*(5*h + 0*h - 3*h) to s + w*h and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858251 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(-2*sqrt(132) + sqrt(132)))\/(sqrt(12) + sqrt(12) + (sqrt(144) + (sqrt(144)*-1 - sqrt(144)))\/sqrt(12) + (sqrt(12) - sqrt(144)\/sqrt(192))).\nAnswer: -72*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5291947*f*y + 51270*f + 26 wrt y.\nAnswer: -5291947*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(5\/3)*g\/(g\/g**(-1)*g)*g*g**(-1\/6)*g*g*g)**(-9\/8) assuming g is positive.\nAnswer: g**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 955, 3661, 8175, 14509, 22675, 32685, 44551, 58285?\n\"Answer: 2*b**3 + 892*b**2 + 16*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2628540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 71*t**2 - t. Suppose -5*n + 2 + 3 = 5*p, -2*n = 0. Let c be x(p). Calculate the remainder when c\/(-21)*45\/(-6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 203840572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 10 = 3*v, -v = -2*b + 6. Suppose b*k - 16 = -0. Solve 4*p - 3*p - k = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 10. Let f be k(-4). Suppose 0 = -29*i + f*i - 12. Let v be 6 + 4\/i*1. Solve 7 = v*w - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 + 17*n + 10. Let o be c(8). Calculate the greatest common factor of o and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1195.1 - 1195. Let k be 2\/(0 - 2\/(-5)). Sort i, -0.2, k.\nAnswer: -0.2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.831 rounded to 1 decimal place?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (-5 + sqrt(98)*2 + sqrt(98)).\nAnswer: -14*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*r**2 - 9*r**2 + 6*r**2)*(-4*r**3 - 5*r**3 - 40*r**2 + 7*r**3).\nAnswer: 66*r**5 + 1320*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 536391 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 341510 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - 2*l)*(0 - 1 - 1)*(0 + 0 - 2)*(781*l - 23*l**2 - 781*l).\nAnswer: -92*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.3 - -14. Let r = t + -0.8. Let s = 25 + -28. Which is the closest to r? (a) -2 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 7*o - 6. Let i be j(5). Solve -11 = -3*f + i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 1. Let c(i) = -3*i - 5. Suppose -2*h - 5 = 17. Let j(q) = q - 2. Let t(d) = d. Let y(k) = -j(k) + 2*t(k). Give g*c(v) + h*y(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*w**3 + 7*w**3 - w**2 + 5*w**3 - 5*w**3 + 3 to c*w**2 + f*w + v*w**3 + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4461.361828 rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.141 + -0.141. Let l = 4 - 11. Which is the closest to l? (a) -3 (b) o (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.63.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.5 + -8.351. Let w = -0.141 - j. Round w to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 5*j + 53. Let l be c(10). Calculate the greatest common divisor of l and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -11. Let q = -6 + p. Is q < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246292 (base 10) in base 8?\nAnswer: -741024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 + 17) - -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 2. Calculate the common denominator of -42\/11 and (-389)\/91 - n\/(-14).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91752 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140385682 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1395 = -5*o. Let d be 3\/(18\/o)*2. Suppose -5*m + d = -4*y, -m + 3*y + 47 = -y. Calculate the greatest common divisor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 6*s = -1950. Does 65 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1bab?\nAnswer: 1ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -3, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*n**2 - 231*n**2 + 239*n**2 + 183*n**2.\nAnswer: 524*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26951 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x - 130. Calculate u(-5).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 50. Let t(j) = j**3 + 63*j**2 - 412*j + 119. Let y be t(-69). What is s(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.3 (b) 0.4 (c) -2 (d) -4 (e) 3275 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97529 and 64753?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9584 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 43*s**2\/2 - 146*s - 45. Is b(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + ((-175)\/15)\/(-7)*(-42)\/30. Let a(l) be the first derivative of 1\/4*l**4 + 8 + l - x*l**3 - 2*l**2. Calculate a(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -384921 - -2?\nAnswer: -384919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.63. Let s = -2.03 + h. Let q = s - 2.6. Which is the second smallest value? (a) 0 (b) q (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -17\/6 (b) 4 (c) 3 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-30) + (-36)\/120 + 4186\/105\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473286034.\nAnswer: 2, 13, 809, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 15*u = 240. Let s be 10\/4*16\/2. What is the highest common factor of u and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 17 + -6 - 36) + 10\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 852 times -0.46\nAnswer: -391.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c + 1. Let a be h(1). Suppose -5*f + a*f + 10 = 0. Suppose f*k = -3*g - 1, -4*g - k = k - 2. What is the biggest value in g, 0, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w + 6*w - 9*w + 2. Let h(v) = 10*v - 7. Calculate 6*h(q) + 21*s(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 77.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -747 by 249.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + x + 443 = 0, 0 = -4*c + 8*x - 3*x + 367. Suppose 77*n + 10472 = c*n. List the prime factors of n.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624, 625, 626?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 463*u + 460*u - u**2.\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 15. Let f(k) = k - 8. Let s(q) = 6*d(q) - 11*f(q). Let n be s(6). What is the highest common divisor of n and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqqqqqqq. What is prob of sequence qqq?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:45 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.4. Let o = 0.427 + -0.017. Let i = o - -0.09. Put 0.4, i, y in decreasing order.\nAnswer: i, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i. Let y be a(1). Let j be (3 - y)\/((-2)\/4). Put -3, 0, j in ascending order.\nAnswer: -3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -28 - (-3 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 2*j**2 - j - 4. Let f be 26\/(-8) - 2\/(-8). Suppose -3*n + 2*v + 38 = -0*v, 5*n - 2*v = 66. Calculate the remainder when n is divided by q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*h + 66 = 0, 0 = -5*w - 3*h + 2*h + 111. Let g be -12*4*1*(-3)\/(-12). Let y = g + w. What is the highest common factor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/20 in 91, 324, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*y + 6*y. Let o be 6\/3 - -1 - 1. Suppose 2 = -o*a + 3*s + 6, -4*a + 30 = 5*s. Calculate the remainder when y is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j**2 - 5*j**2 + 7*j**2)*(-4 + j**2 + 4) in the form v + x*j**2 + w*j + p*j**4 + a*j**3 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 - 4*d + 5. Suppose 2*l = 3*v - 19, v - 7 = -3*v - l. Let n(j) = -5 - 7*j**2 + 2 - v + 5*j + 2*j**2. Determine -4*i(h) - 3*n(h).\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7173465.62 to the nearest one hundred.\nAnswer: -7173500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*c = -13, 0 = 4*i + i + c - 65. Let u be -14 + i + 1*-3. Is -1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/33624 and -127\/72852.\nAnswer: 437112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4897 - -4900. Suppose 4*o + 3*x = -1, -7*x = -o - 8*x - 1. Put o, 5, k, -19 in descending order.\nAnswer: 5, k, o, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -161*l**3 + 10*l**2 + 2*l. Let f(o) = -806*o**3 + 56*o**2 + 11*o - 1. What is 11*d(g) - 2*f(g)?\nAnswer: -159*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byepj. What is prob of sequence jbe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -42 (b) -3 (c) -0.12 (d) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + z + 4. Let k(m) = -14*m**2 - 3*m - 11. Let q(w) = -17*g(w) - 6*k(w). Suppose 3*n + 6 = 4*a, -5*a + 0*a + 17 = n. Calculate q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * 1335.489.\nAnswer: 2270.3313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 21*r**3 + 107*r**3 - 2*r**2 + 2*r**2.\nAnswer: 128*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 5707818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfmhlhfffmhllm. What is prob of sequence mml?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 14276383?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26765 is divided by 478.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g. Let r(p) be the second derivative of 0*p**2 - 34*p - 3\/2*p**3 + 0. Let w(i) = -4*i. Let z(y) = 3*r(y) - 5*w(y). Give z(d(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 223 + -1?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (116 - -2368) + 4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.807805 minus -5?\nAnswer: -0.807805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(6 + 0))\/(3\/18). Suppose 5*i = -u*y + 139, 2*i = 5*y + i - 334. Which is smaller: 66 or y?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 4*x**2 - x + 444. Let w be h(0). Suppose 3*y + w = 9*y. Calculate the remainder when y is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**4 - 5\/6*t**3 + 7\/60*t**5 + 0*t + 4*t**2 + 0. Differentiate q(g) wrt g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, 2\/3, -4, -56.03, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 4, -1.16?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/3 - 6 = 0. What is g?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 185 - 185 - 18*z as h + s*z and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629469630 to the power of 1\/2, to the nearest integer?\nAnswer: 51278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736730?\nAnswer: 2, 5, 73673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 21812 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:55 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25983 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*g - 369*g = -3*t - 40, -5*t + g = 30. Let m(k) = -10*k - 45. Determine m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051594508 rounded to 7 decimal places?\nAnswer: -0.0000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 3:24 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**5\/6 - 17*g**4\/6 + 1042*g**3\/3 + 7408*g**2\/3 + 2912*g + 792 = 0.\nAnswer: -18, -6, -1, -2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Suppose -d - 22 = -3*q, -10 - 24 = -q - 5*d. Suppose -3*y + 3*a - q = 3, y = 3*a - 10. Sort g, -8, y.\nAnswer: -8, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:12 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*y + 328 = 3*y, 4*y = -4*b + 484. Let s = 118 - b. Factor -2\/9*n**s - 8\/9*n - 8\/9.\nAnswer: -2*(n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + h)*(6*h**4 + 2*h**4 - 2*h**4) - h**5 + 0*h**5 - h**5.\nAnswer: 4*h**5 + 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -230915.\nAnswer: -230914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = y - 1. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76091964 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 8*d - 7. Let z be s(-9). Let l(p) = -7*p**2 + 0 + 7*p**2 + 4*p - 3 + z*p**2. What is the units digit of l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j**2 - 29 + 26*j**2 + 29*j**2.\nAnswer: 6*j**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -882659 (base 11) to base 8\nAnswer: -5277734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -230426 or -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3579, -15593, -36051, -64959, -102323?\n\"Answer: -z**3 - 4216*z**2 + 641*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from nrvllnnlvlvllrl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1648332893 to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + g - 1. Let c = -1 + 2. Let z be v(c). Solve -4*o - 8 - 14 = 2*q, q + 14 = -z*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*w + 19 = 3, 0 = -4*w + 8. Let a(m) = m**2 + 4*m + 5. Calculate a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5615244 and 254188?\nAnswer: 61767684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 43.\nAnswer: 24\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019913 rounded to 4 decimal places?\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -7\/2 (c) -0.1 (d) -2\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -299*x + 71. What is the lowest common multiple of d(-1) and 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72\/287 - -22669\/4592. Let z = 1\/349 - -8013\/4886. What is the common denominator of z and n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304\/760*(-1)\/((-4)\/(-6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202 - -287. Let n = a - 85. Let l(j) = -5*j - 1. Let v be l(-1). Solve v = p - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 639*y**3 + 5*y + 6. Let h be s(-1). Let c = 1128 - h. Round c to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:08 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 18*h**2 - 188*h - 450. What is y(-4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/(-88)*4\/((-2)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**2 - 11*b + 1. What is the units digit of t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - v - 223717 = -223691, -5*o - 4*v = 27 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12980396 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/452814 and 17\/1509380.\nAnswer: 4528140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 3, 2\/29, 0.5, -2, 21 in decreasing order.\nAnswer: 21, 3, 0.5, 2\/29, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55948 - -55941. Let z(v) = 9*v**3 + 5*v**2 - 6*v. Let b(w) be the second derivative of -w**5\/2 - w**4\/2 + 7*w**3\/6 - w. What is j*z(c) - 6*b(c)?\nAnswer: -3*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5402798*g - 5402732*g = -5016 for g.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*h - 2\/3*h**2 + 0*h**3 + 8\/9*h**4 + 0.\nAnswer: 2*h*(h - 1)*(2*h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 307.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.2 - 0.2. Let f = 14 - h. Which is the closest to 0.1? (a) 0.4 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g**2 + 2*g + 39. Let d be q(9). Suppose -1371 = 6*y - d. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 103 - 3*x**2 + 2*x - 86. List the prime factors of i(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 + 11*d**3 - 2*d**3 - d**2 + 5*d**3 + 5*d**3 + 4 as i*d + m + v*d**3 + w*d**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, h: 9}. What is prob of picking 2 h and 2 y?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*v + 99419 = 0, 16*r + v - 99413 = 13*r. Is 37 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Suppose a*l - 2 = 2*l. Let d(g) = 3*g + 1 + l*g**2 - g**2 - 5*g. Calculate d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 29*p - 136. What is the units digit of t(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 34 = -5*w + i, 2*w = i + 13. Put -2, 0, w, -3 in descending order.\nAnswer: w, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.88 - 38.58. Put -2\/3, n, -1, 9, 0.2 in ascending order.\nAnswer: -1, n, -2\/3, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -28*v**5 - 483216*v**4 - 1794524*v**3 - 1863448*v**2 - 276048*v + 276064 = 0.\nAnswer: -17254, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747615.\nAnswer: 3, 5, 11, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-21) + 869\/(-77) + 38. Solve -t*n = -185 - 4 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163159, 163168, 163177, 163186?\nAnswer: 163195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 459418 divided by 29\nAnswer: 15842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 - 124. What is the greatest common divisor of 68 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135.3, 0.5, 1\/84 in descending order.\nAnswer: 135.3, 0.5, 1\/84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - j)*((0 + 0 + 2)*(0 - 2 + 1) - 1 - 2 + 5 + 2 - 1 - 2 + 3 + 0 - 7) as a*j + r and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrppbhrirpss. Give prob of sequence hih.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8142, 8207, 8274, 8343?\n\"Answer: w**2 + 62*w + 8079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p + 222*p + 2567 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 8*s = -4*n - 7, -1 = -5*n - 2*s. Suppose -11 = 4*p + 3*b, 2 = -5*b + 17. Sort 24, n, p in decreasing order.\nAnswer: 24, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 2*p + 4. Let y(k) = -3*k**2 - k - 3. Let c = -51 - -53. Suppose 0 = c*n + 3 + 3. What is n*y(m) - 2*g(m)?\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3265146 - 18?\nAnswer: -3265165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -2\/3*q**4 - 2*q**2 + 5\/3*q**3 + 0 + 1\/10*q**5 - 4*q. Determine x so that l(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 543970 and 19814005.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14650 or 0.1?\nAnswer: -14650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 223855095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l. Suppose l = -3*j - j + 56. What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a century in years?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 3:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let q(x) be the second derivative of -3*x**4\/2 + 10*x. Calculate h(q(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165265591*s**2 - 156946178*s?\nAnswer: 330531182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*b + 2738 + 336 = 3660*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 4 = 13*r. Suppose -4*i + 7 = -r. Let c(u) = u**2 + 8*u. Let s be c(-8). What is the closest to s in 0.5, i, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 28. Let a(m) = -13*m - 110. Give 2*a(b) - 9*v(b).\nAnswer: b + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -46*j - 42. Let m(k) = -67*k - 57. Let u(f) = -5*m(f) + 7*t(f). Determine u(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1860 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6\/4)\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877679.9ml in litres?\nAnswer: 877.6799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g, -5*z - 285*g = -289*g - 26. Solve -z*m - 32 = 10*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417.9883 milliseconds to nanoseconds.\nAnswer: 417988300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.8642 - 0.0358. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 14 - -1) + (-18280)\/2285\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:45 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25773697 to the power of 1\/2, to the nearest integer?\nAnswer: 5077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 187619\nAnswer: 750476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 178*j**2 - 20*j + 123. Is t(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(4\/(-14) - 7\/(49\/(-9))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965.8027 litres to millilitres.\nAnswer: 965802.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54850 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i + 192 + 17 = -127 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 2*w**2 - 3*w**2)*(-4*w - w + w) + 4*w**2 - 4*w**2 + 5*w**3 + (-w + w + 2*w)*(5*w**2 - 3*w**2 + 0*w**2) + 2*w**3 - 3*w**3 + 3*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5505, -21961, -49345, -87627, -136777, -196765, -267561?\nAnswer: -349135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 235*o + 2259. Give r(-107).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57618\/(-582)*3\/(-18)*8\/(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/14 - ((1 - 2) + 2). What is the nearest to z in -0.4, -0.3, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 46*l + 597. Give x(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/35*392\/140*(-20)\/(-16)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93793481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2342*o**3 - 3*o**2 - 8*o. Let u be m(-2). Let g = -8489 - u. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 8 - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:42 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*g)*(-17317*g - 17993*g + 37279*g - 3).\nAnswer: -5907*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/30)\/(((-407)\/(-99))\/(-37))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1497\nAnswer: 4\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:10 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 868, 1777, 3048?\nAnswer: 4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31540 divided by -3154\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6384 and -17\/31716?\nAnswer: 16872912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/29246 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((1*194\/(-24) + 8)\/((-13)\/234)). Find u, given that 3\/2*u - 1 + 0*u**q - 1\/2*u**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 18 = -s - 4*w, 3*s - 3*w = 0. Suppose -2*d = 3*h - 6, 5*d - s*h + h = -4. Sort 4, d, -4.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a - 9*a - 28 + 145 + 18 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 373\/8172 + (-3)\/54. Do k and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 16 = j, -3*i = 4*j - 2*i - 20. Let h(l) = -6*l + j + 5*l + 0*l - 4*l. Let g(s) = 4*s - 4. Give 6*g(f) + 5*h(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -14 + 2 + 1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 11*n**2 + 13*n - 25. Let s be c(10). Find j, given that -10\/9*j**3 + 10\/9*j**s + 0 - 4\/9*j**2 + 0*j + 4\/9*j**4 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, u: 4, n: 2}. Give prob of picking 2 z and 1 n.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(1573)*-4 + 3.\nAnswer: 8 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(sqrt(700)*1)**2 - 6*(-3 + sqrt(700)*5).\nAnswer: -3482 - 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/63)\/(((-4900)\/504)\/(-175)).\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -34.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:48 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/(-1)*(-175)\/(-280).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(-2*x - 44*x + 21*x) in the form h + o*x and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 275194584241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8900 - 8878. Which is the third biggest value? (a) 5 (b) -5\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3 - 5*i + 4 + i**2 + 0*i**2 + 4*i + 10*i**3. What is the units digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 34. What is the biggest value in 3, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(2\/15)\/c)\/c)\/c*c)**21\/(c**(2\/33))**(-15\/7))**(-1\/4) assuming c is positive.\nAnswer: c**(7521\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6953635894163458.77000017 - -6953635947664950. Let i = -53501491 + s. Let g = i - 0.23. Round g to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 8 + 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21343399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83375 - 286188 = -13*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:30 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 98c30?\nAnswer: 98c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -77, -4720, 4 in descending order.\nAnswer: 4, -4, -77, -4720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(d**5 + 5*d**4 + 0*d**5 + 3*d**4).\nAnswer: d**5 + 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*3)\/(-1 - -2). Let r = c - 24. Is 211*3*(-5)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 531*j + 22281. Determine q(-40).\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2438*x**3 - 24 - 2440*x**3 + 15.\nAnswer: -2*x**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l - 49. Suppose -3*u - 9 = -3*c, -7*u = -10*u - 3*c - 21. Let d be q(u). Sort 7, 3, d, -0.2 in descending order.\nAnswer: 7, 3, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3\/3 + 3*a**2\/2 + 2*a - 14. Let i = 7 - 4. Let w be l(i). Solve w*y - 11 = -3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15558*i - 73171494 + 73171494 to the form l + z*i and give z.\nAnswer: 15558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = -2*r + 22804, -5*r = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 1, -87, 12 in descending order.\nAnswer: 12, 4, 1, -7, -87","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*n - 5. Let b = -15 + n. What is the remainder when 28 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009838 to 4 dps.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*k - 40*k - 9 = 0. Suppose 89 + 88 = k*l. Let r = -41 + l. Calculate the smallest common multiple of 20 and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4851 and 2072357.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-27))\/((-8)\/6). Let i(b) be the third derivative of 0 + 1\/8*b**4 + 0*b + b**2 - f*b**3. What is the derivative of i(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*f - 338*f + 80 = 4*n, 5*n = 2*f + 79 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnknndnndnndk. Give prob of sequence dk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 33 = -3*i. Let v = 0.557 + 4.443. Is v != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2\/13, -71, -0.4, -5?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 - 282*u**2\/7 - 3399*u\/7 - 3120\/7.\nAnswer: -3*(u + 1)*(u + 13)*(u + 80)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 21 + -28 + 40 + -10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26117933.\nAnswer: 17, 1536349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 17 = -14 + 53 - 18, -2*j - n + 10 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 0*j**4 + 302*j**3 + 305*j**3 + 1 + 298*j**3 - 894*j**3 - j**2 in the form k*j + z*j**2 + y*j**3 + r + o*j**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*32\/(-1120)*4\/((-64)\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4669846.\nAnswer: 2, 2334923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 11*s + 2647 - 2788, -4*s + 99 = -11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 0.03013274680759.\nAnswer: -2.96986725319241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5, 36*f = 2*t + 32*f - 356. Calculate the remainder when 1677 is divided by t.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/197 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -5*l**3\/3 + 2*l - 41. Let y(m) be the first derivative of m**3\/3 - m + 1. Determine w(a) + 2*y(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 2*k**2 - 2*k. Let l be (2 + -8)\/3 + -2. Let q be (l\/(-5))\/(4\/10). Let c be j(q). Solve -c*a - 2 = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -533, -704, -1019, -1526, -2273, -3308?\nAnswer: -4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 834*z - 897*z + 252 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9712.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((570\/(-9025))\/(1\/10))\/(1\/(4\/(-6))).\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:01 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-138)\/(-420)*2 + 2\/10. Factor a*x**3 + 4\/7*x**2 - 6\/7*x - 4\/7.\nAnswer: 2*(x - 1)*(x + 1)*(3*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akz when three letters picked without replacement from fkffafafaz.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 2*d**3 - 2*d**4)*(-2 + 2 - 2*d) - 3*d**5 + 2*d**5 - 2*d**5 + (d + d + 0*d)*(2*d**4 - d**4 - 3*d**4) + 2*d**5 - d**5 - 2*d**5.\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 - 227 = -14*t. Solve -6 = p - 3*p, t = 3*i - p + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1510)\/(-50) + 2\/(-10). Let i be 2*5\/(z\/9). What is the tens digit of (i\/2)\/(6\/88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -585, -701, -863, -1071?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1959 + 7830 = -116*m - 193*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*d + 5210 + 2749 = 977*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130218603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) 1\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**(-4\/5)\/p)*p)\/p)\/p**(-1\/12))\/(p\/(p*p*p**(-2\/7)\/p*p))**(-31))\/(p**2*p*p**(-2\/39))**(1\/23) assuming p is positive.\nAnswer: p**(-105857\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/5 (b) 0.2 (c) 0.01 (d) -4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2. Let h(r) = 12226*r**2. Determine s(h(k)).\nAnswer: -896850456*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 - 16*b**3 + 6*b**3)*(-1 + 4 - 4 + 0).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 495620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/9 (c) -2 (d) 0.5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Suppose -2*i = 2*i - c. Suppose -11 + i = -2*q. Solve 2*h - k - 7 = q, 5*k = -5*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -34. Suppose -4*f - 8 = -4*r - 0, -2*f - 8 = 0. What is the smallest value in u, -4, 0.1, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 + 2*w + 3. Give d(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**2 + 9*m - 2. Let r(n) = n + 2. Let d(p) = -p - 3. Let v(g) = 6*d(g) + 7*r(g). What is 7*v(k) + 3*y(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(324)*-6))\/(-5*sqrt(605)*5).\nAnswer: sqrt(7)\/14850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1256.\nAnswer: -376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in 0.1, -2\/13, -6, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20944\/1666*(-14)\/4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**12\/(z\/(z*z**(1\/2))*z))\/(z\/(z\/(z\/(z\/(((z**(-1\/4)\/z)\/z)\/z)))))**(1\/8) assuming z is positive.\nAnswer: z**(381\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r**5 - 11*r**4 + 16*r**3 + 4*r**2 = 0. What is r?\nAnswer: -2, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-1 + (-7 - -1 - (-10 - -8)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + -0.19. Let j = -1.086 + 9.086. Which is the closest to j? (a) -1 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.03. Let v = j + -0.67. Suppose 32*i - 28*i - 4 = 0. Which is the closest to v? (a) -1\/6 (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2. Let l be 22\/(-297) + (-88)\/(-216). Let n(j) be the second derivative of 0 + 0*j**3 - l*j**4 - 3*j + 0*j**2. Determine n(m(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1024 and -21\/296.\nAnswer: 37888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 317*q**2\/2 + 13549*q\/4 - 13005.\nAnswer: (q - 612)*(q - 17)*(q - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/3 - (-4)\/(-6). Suppose 0 = -m*f + 3*p + 300, -3*p + 383 - 8 = 5*f. Suppose 0 = -5*t + 10*t - f. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))**(-11)\/(u**18\/(u*(u*u**(14\/9))\/u)))**(2\/29) assuming u is positive.\nAnswer: u**(-80\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -156. Let s(z) = z**2 - 18*z + 115. What are the prime factors of s(k)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 36. What is c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1156103 (base 11) to base 12.\nAnswer: -811573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = 0, -3*i + 2*d - 22016 = -i. Round i to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2200)\/(-32))\/25)\/(39\/(-26))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678066979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.585 times -5\nAnswer: 7.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 - 7*m**4\/6 + 4*m**3\/3 + 18*m**2. Let u(g) be the first derivative of a(g). Differentiate u(p) with respect to p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1928 - 971. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*u**4\/3 - 185*u**3\/3 - 2*u**2.\nAnswer: u**2*(u - 2)*(94*u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {r: 17, w: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**3 + 3*a - 1484 wrt a.\nAnswer: -9*a**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -957294*g**3*i**3 - 5*g**3*i**2 - 1039*g**3 + 2*g**2*i**6 - g**2*i**2 + g*i**2 wrt i.\nAnswer: -5743764*g**3 + 240*g**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 4:16 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-49 + 49 + -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 30.2. Let n = c + 12.2000392. Round n to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -520309.1 + 520308.54799851. Let h = 0.552 + q. What is h rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -7*j**6\/15 + 494*j**5\/25 + 364*j**4\/5 - 80*j**3\/3 - 1072*j**2\/5 + 608*j\/5 + 412. Find d such that p(d) = 0.\nAnswer: -2, 2\/7, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-4)*4*7\/21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.7*4\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 7, 4, 7, 22?\n\"Answer: y**3 - 6*y**2 + 8*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 43*j + 216. Let y be i(-5). Which is bigger: y or -4\/2295?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -12012021?\nAnswer: -12012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4523 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11298302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0*a\/a**4*((a*a**(-2\/3))\/a)\/(a\/a**(-4\/3)*a*a*a)*((a*a\/(a*a**(2\/11)))\/a**4)\/(a**(1\/5)*a**4) assuming a is positive.\nAnswer: a**(-901\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 1. Let r(y) = -11*y + 3. Calculate -5*o(q) + r(q).\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-165))\/(4\/(-3)*(-108)\/120).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*41345949\nAnswer: 74422708.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -16. Let n = -10 - -7. Let o be n\/y - (-38)\/6. Calculate the greatest common divisor of 36 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1083 + 1882. Let a = -767 + b. What is the remainder when a is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 154. Let k(x) = 38*x + 15. Let y be k(4). Let z = -113 + y. What is the greatest common factor of d and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 31*v + 233. Let d be o(6). Solve -3*c - 16 = -d*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-867))\/(2\/(-4)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 378*b**2 - 15270*b - 96. What is q(46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 + 2*h**2 - 4*h**2)*(3072986*h - 3072986*h + 49676*h**2) in the form s*h**2 + o + n*h + b*h**4 + w*h**3 and give b.\nAnswer: -99352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-15))\/(2\/(-25)). Let g = p + -3. Is 2\/(g - 1)*6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**(-6))\/(x**(-1))**(1\/4) assuming x is positive.\nAnswer: x**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 3. What is o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -303579602.6 rounded to the nearest one hundred thousand?\nAnswer: -303600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23102 = -7*q + 91387. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -121, -123?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 612 - (-5 + 0\/(-1)). Let l = a - -89. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4485\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 2*u**2 + 627 - 310 - 317.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1067, 1065, 1089, 1151, 1263?\n\"Answer: 2*z**3 + z**2 - 19*z + 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1 - (43 - 44).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1508 + -1507.9. Put b, 0.3, 11\/3 in decreasing order.\nAnswer: 11\/3, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2)*c)**13 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/16*-4*16\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363421003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 0)*(1 - 3 + 1) - 4 - 1 - 1)*(23*u + 555 - 555) as v + h*u and give h.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 2*w + 40*w**3 - 23*w**3 - 1119*w**4 + 1110*w**4 + w to the form n*w**4 + o*w**2 + v*w**3 + f + t*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/801 and 11\/2581?\nAnswer: 23229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -26*b - 2822. Let w be s(-114). Solve w = 7*f + 198 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/14*3381\/644. Suppose -3*h - 2*h - 3*b = -246, 2*b = h - 44. Calculate the greatest common factor of h and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4323 (b) -3\/4 (c) 3\/11 (d) -4 (e) 1 (f) -2 (g) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 - 1) - (147 + -136)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 5 (b) 11\/42 (c) -0.5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 161 = -16*m. Suppose 0 = -4*h - 0*h + 2*d + 160, 0 = -3*h - 4*d + 142. Calculate the remainder when h is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6289*y**2 + 6222*y**2 - 12533*y**2.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -82c2a (base 14) to base 11\nAnswer: -1a5901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 + 356226\nAnswer: 356226.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in -1\/3, 5, -17\/4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -6. Suppose 1798 = l*u + 720. Suppose 5*q + u = -281. What is q rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, 4, 12, 22, 34?\n\"Answer: x**2 + 3*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 2\/11, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/5529? (a) -2\/9 (b) 1 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2963.156 litres to millilitres.\nAnswer: 2963156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3850296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfff when four letters picked without replacement from vfgwfffgwgg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 - 43)*(-4*m + 4*m + 4*m + (-2 + 3 - 3)*(-1 + 1 + m) + 2*m - 6*m + 3*m - 5*m + 6*m + 0*m - 3 + 3 + 2*m).\nAnswer: -144*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*t - 16 = 4*i, 0 = 3*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -50. Suppose -4*n**2 - 1 - c + 16*n - 10 + 4 = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150424 + 224998. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 11:38 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -12. Suppose -25*g + 23*g = b. What is the third smallest value in g, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0.1, -5, -1\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -105 * -1.78\nAnswer: 186.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35623*q + 343*q**2 + 35623*q)*((-1 + 0 + 2)*(4 + 5 + 1) + 3 + 1 - 6).\nAnswer: 2744*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**2 - 39*k + 10. Let i be m(-18). Let z be (i - (2 + -4)) + -4. Put -4, 3, z in descending order.\nAnswer: 3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163681 and 654724?\nAnswer: 654724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:58 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = -5*n + 17*l + 30, -l - 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**2 - 5*f + 6. Let r(w) = 14*w**2 - 4*w + 5. Let l(t) = 5*r(t) - 4*y(t). List the prime factors of l(-3).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 3. Let i be q(0). Let h(l) be the third derivative of -l**4\/24 + l**3\/2 + 9*l**2 - 2. Calculate h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/18 - (-15640)\/72 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m + 35073 - 35073.\nAnswer: 51*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1276711 centuries to months.\nAnswer: 153.20532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 - 14*s - 3. Let d(b) = b**2 + b + 1. Let p(o) = -4*d(o) - i(o). Is p(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/4 + 37*w**4\/4 + 41*w**3\/4 - 109*w**2\/4 - 47*w - 19 = 0. What is w?\nAnswer: -1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*a - 33 = 0, 612*d = 617*d - 5*a + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1121.906923 times -0.4\nAnswer: 448.7627692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4042550 and -193.\nAnswer: -780212150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622820 divided by 185?\nAnswer: 8772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 27. Suppose 5*s - 111 = -u. Let w = 27 - s. Solve -3*h = w + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-81)\/210 - (-2)\/7. What is the third biggest value in -5, -4, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l = 2*w - 371, 3*w - 3*l = 549. What is the common denominator of (1\/2)\/(20\/w) and 63\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 6*z**2 + 14*z + 3. Let n be p(0). Solve -n*x + 2*c = 13, 2 = -2*x + c - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408723319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*l = 0, -7*c - 3*l = 15*c - 4*c - 31 - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63059 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 6)\/30*4390.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 14*k - 6*k + 43*k)*((-3 + 2 + 2)*(3 + 0 - 2) + 0 - 3 + 1 + 0 + 3 + 1).\nAnswer: 69*k - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 267 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -20*j + 14736. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41417284?\nAnswer: 2, 2531, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -c44c (base 13) to base 9\nAnswer: -41155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657.8749um to centimeters.\nAnswer: 0.06578749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134937 by 517.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 8*p**2 + 7*p - 4. What are the prime factors of n(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u - 1. Let z = -6 - -3. Let d be a(z). Suppose -17 + d = -4*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1257067045 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 1)*(-2*k + 2*k - 2*k) + 0 + 0 + k + (-k + 3*k + k)*(3 + 3 + 1) - 950 - 9*k + 950.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8947577.4 to the nearest 100000.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558602519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 45 - 10. Let i(f) = -f**3 + f**2 + 14*f - 4. Calculate the smallest common multiple of k and i(4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 + 428 = -24*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 8376 = 3272. Let h = 2270 - q. What is the greatest common divisor of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 73908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2250*q**3 + 962*q**3 + 1289*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3317541 - 1985837. Let m = q + -1331728.00027. Let n = m - -24. Round n to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3569, -3296, -2847, -2222, -1421, -444, 709?\nAnswer: 2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 48\/3 + 4. Solve 8*k = 3*k + i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -81. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 462*k + 22. Let s(u) = 463*u + 18. What is -4*q(z) + 5*s(z)?\nAnswer: 467*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176712809 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 8*x + 4*x + 4 + 5. Let r be o(4). Suppose -9 - 3 = 4*g, g + 18 = r*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 (base 7) in base 10?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 242247 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 12*w + 4. Let x be p(3). Suppose -25 = -x*t + 39. What is the lowest common multiple of t and 142?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 10*b**2 + 9*b + 6. What is p(6)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 13\/6*p**3 + 0 + 0*p + 3*p**2 + 11\/12*p**4. What is the first derivative of z(a) wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-3 + 6 + (-2345)\/670)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 291?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:02 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-8)\/(3 + -59)). Solve 10*i + c*i = -17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304569 is divided by 134.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 3*r + 3*r + (5*r - 3*r + r)*(-r - r + 4*r) + (-r + r + r)*(-2*r + 1 - 1).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-513))\/((-2)\/(-3)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 1. Let v be a(-1). Suppose 0 = k - 3 - v. Suppose 2*j - j = 4*m - 1, 2*j + 5*m + 2 = 0. Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 7. Suppose -4*k + 5*j - 16 = 0, 2*k + 25*j + 6 = 27*j. Let s(m) = 3. Let n(q) = -8. Let h(t) = -n(t) - 3*s(t). What is k*w(x) - 6*h(x)?\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 11 = -2*l. What is the remainder when l is divided by ((-2)\/(-5))\/((-8)\/(-80))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*174\/290*(-5)\/28.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8113335 by -3.\nAnswer: 2704445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578154942.\nAnswer: 2, 11, 107, 1095223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9981*m + 490*m + 3095*m + 100*m.\nAnswer: 13666*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*i + 108 = -257, 5*i = 5*a - 895. Suppose a = 5*q - q. Calculate the greatest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252 (base 15) to base 3\nAnswer: 201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 greater than or equal to 2.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w - 14. Let v(p) = -26 + 5*p - 22 + 75 - 22. Calculate -6*f(l) - 17*v(l).\nAnswer: 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 not equal to -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 7*p**2 - 46*p**2 - 27*p**2 + 3*p**2.\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 0, -2, 359, -7 in ascending order.\nAnswer: -7, -2, 0, 3, 6, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - w + 6. Let k be f(0). Let t(d) = d**2 - 6*d. Let x be t(k). Suppose -2*n + o + 1 = x, 23 = n - 11*o + 6*o. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-506) - (5 + 583\/(-121)). Let f = -4.5 - -0.5. Put -5, l, f in increasing order.\nAnswer: -5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(5 - -1))\/(-1). Suppose -6*y + 11980 + 44366 = l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 12 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.424 - -0.424. Let p be 1 - (-3)\/6*1. Which is the closest to p? (a) h (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 304*i + 34656.\nAnswer: 2*(i + 228)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/10)\/(1\/(-45)). Suppose 0 = -10*g + j + 99. What is the greatest common factor of g and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.4 (c) 23 (d) 1\/4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14570108 by -3642527.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9518 divided by -1\nAnswer: 9518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4852332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 24*h**2 + h - 20. Let d be x(24). Suppose -d*r + 3*j = -2*r - 2, -2*j = -5*r + 5. Suppose r = -f + 66. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m**3 - 1386*m**2 + 843*m + 558.\nAnswer: -3*(m - 1)*(m + 93)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/403?\nAnswer: 11\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m + 5 = 2*c, -5*c + 4*m + 16 = 0. Let j be (-1 - 0\/(-1)) + -13. Let k = -14 - j. Solve -4*d - f + 2*f = 6, d + f + c = k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146226 and 146226?\nAnswer: 146226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/1440 + u**5\/60 - 116*u**3\/3 - 143*u**2 + 1. Let n(s) be the first derivative of l(s). Factor n(p).\nAnswer: p*(p + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0*u**5 + 1\/2*u**4 - 1\/10*u**6 - 3\/2*u**2 + 0 - 2*u + 0*u**3. Factor t(c).\nAnswer: -3*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/15*(40\/(-3))\/4. Calculate the remainder when 21 is divided by (1\/1)\/(129\/(-33) + f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + 3359*c**2\/2 + 2216411*c\/4 - 1111565\/2.\nAnswer: (c - 1)*(c + 349)*(c + 6370)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29189*o**2 - 1278*o**3 - 9731*o**2 - 9730*o**2 - 9728*o**2.\nAnswer: -1278*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 14. Let y be s(8). Suppose 2*n - o - 159 = -y*n, -5*o + 45 = n. Calculate the highest common divisor of 180 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11523 - -11518. Sort 13\/4, 3, o, 0.1.\nAnswer: o, 0.1, 3, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41030208 is divided by 2303.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkc when three letters picked without replacement from ckicjmicxkiiicm?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -15, -39, -83, -153?\n\"Answer: -f**3 - f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.625*1347.87\nAnswer: -842.41875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-1 - (1 + sqrt(304))) + 4*(3 + sqrt(19)) + 3.\nAnswer: -5*sqrt(19) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 - 175. Solve -5*l + l = -z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmmmhmmmm. Give prob of picking 4 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z. Let q(h) = -4*h + 0*h + 0*h - 2*h. What is q(w(r))?\nAnswer: 54*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -676, -2308, -5472, -10678, -18436, -29256?\n\"Answer: -85*d**3 - d**2 - 12*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108126 by -6.\nAnswer: -18021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v**3 - 2*v**3 + 2*v**3 - v**2)*(5*v + 0*v - 3*v) as t*v**4 + g*v**2 + i*v**3 + y*v + b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 4*z**2 + 3*z**2)*(-4*z + 2*z - 20*z**2 + 10*z**2) to s + b*z**4 + q*z + n*z**3 + a*z**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1263541325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 7. Let d(u) be the third derivative of -u**5\/30 + 494*u**2. Give d(s(h)).\nAnswer: -18*h**4 + 84*h**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 27) + (14 - -4 - -7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(9)\/sqrt(3).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2777 + -4639. Let s = -1848.17 - a. Round s to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 0*g**2 - 2*g**2 + (4 - 3*g - 4)*(-g - 1 + 1) - 15*g + 15*g + 4*g**2 + (g - 1 + 1)*(-2*g - 3*g + 2*g) - 2*g**2 - 2*g**2 + 2*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34405103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*g, 3*g = 2*k + 50 - 57 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 smaller than -195.286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 - 2*h**3 + 3*h**2 + 30*h + 17. Is v(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164540*l*q - 9*l + 3561 wrt q?\nAnswer: -164540*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1558 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9775034 nanograms in kilograms?\nAnswer: 0.0000000000009775034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9 - 3)*(6*l**2 - 48*l + 48*l).\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -21685.\nAnswer: -26\/21685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94184 and 976.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10886882 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120322322 + 312?\nAnswer: -3120322010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/4*4\/(-48)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238 - 114 + 182)*(5*v - v - 3*v).\nAnswer: -170*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 + -12 - (-4 + 0\/1). Suppose -l*p = -8*p + 265. Suppose -70 = -x - p. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-1235) + 5\/52?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -1. Suppose -4*m + 12 = -0*m. Sort -3, j, m in decreasing order.\nAnswer: m, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 - q**4 + q**4)*(0 + 0 - q) - q**5 + 0*q**5 + 3*q**5 + 2*q**5 + 7*q**5 - 3*q**5.\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-99))\/((-55)\/(-10) + -6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363*r**4 + 11*r**3 - 6736*r.\nAnswer: -4356*r**2 + 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*y + 134*y - 70*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:33 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257085, 256761, 256437, 256113, 255789, 255465?\nAnswer: 255141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((-22)\/(-11))\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*w + 1 - 232*w - 231*w - 233*w.\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -443141637*v**4 + 1391434155 with respect to v.\nAnswer: -1772566548*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605738453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:13 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose 0 = 3*f - 4*q - 29, -5*f - 5*q = -2*q. Put -2, t, f in decreasing order.\nAnswer: f, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v + 30 = -69*v. Let w be ((-6)\/5)\/(2\/20). Let s = v - w. Solve t + 9 = -2*i, -s = -5*i + 5*t - 0*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -381 - -678. Suppose -133 = -5*r + a. Suppose 0 = 5*y - 39 - r. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590446.2 litres to millilitres.\nAnswer: 590446200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 1, -246, -3 in ascending order.\nAnswer: -246, -21, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1510 divided by -15491\nAnswer: 1510\/15491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14 and 71\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 + w**2 - 3. Let v be q(-2). Let k = v - -25. Suppose -5*t + 5*x + 45 = 0, 2*t - 4*x - 3 = 5. Solve 2*j - t = 4*c, -k*j + 4*c + 9 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2757908 and 74836.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1050 and 541682925?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 3*i**2 + 2*i**2 as m*i**2 + y*i + c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**3 - 1222*a**2 - 2439*a - 1. What is x(-2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 5*r - 14. Let m = r - -3. What is the tens digit of -3 + ((-152)\/m - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154368 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2508766 and 4550.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8331 = 3*r. Suppose -o + r = -f, -o + 2783 = 2*f - 0*f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49149 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e15 (base 16) to base 13.\nAnswer: 54a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -14*o. Let c(m) = 12*m + 111. Determine y(c(h)).\nAnswer: -168*h - 1554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33423\/176 - 2025\/11. Calculate the common denominator of i and -5\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = p - 12. Calculate the greatest common divisor of 21 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/3, -2\/3, -7\/16, -5, -9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 97, 129, 143, 133, 93, 17?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 6. Let f be (24\/16)\/(-3*3\/492). Let a be (-205)\/f*(1 - 2\/10). Solve -m = -o*m - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51, -29, 13, 81, 181, 319, 501?\n\"Answer: u**3 + 4*u**2 + 3*u - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyi when three letters picked without replacement from yzttzziitzyiyi.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-8 + (-2 + -3 - (-33 + 28))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*a**6 - a**5 - 5*a**2 + 19*a.\nAnswer: 16800*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -59627, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 2*h + 1 + 6*h + 2*h. Let d(a) = 3*a + 1. Let f(b) = 3*d(b) - 4*r(b). Give f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 30 + 3*t**3 - 37*t + 30 - t + 11*t.\nAnswer: 3*t**3 - 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-81)\/54) - (-4)\/28?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 719464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -49*b - 311 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-32)\/(-14). Let f(r) = -r**3 + r - 1. What is f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 7*u. Put -18, -1, u in descending order.\nAnswer: u, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9041*w + 60 - 60 + 1516*w in the form y*w + u and give y.\nAnswer: -7525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*z - 15 = 0, -3*m - 41 = -8*m - 2*z. Put 4, 0, m in descending order.\nAnswer: m, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*a - 6 = 0, a - 78 = -79 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-2020524.3\nAnswer: -60615.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 168022.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 130\/40*(6 + -2)*1. Let z = -149 - -147. Which is the closest to 2? (a) z (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.2, -34, -2, 0.3.\nAnswer: -34, -2, -0.2, -0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 20384, 1\/5?\nAnswer: 20384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -39.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 11*v**2 - 12*v + 3. Let z be g(12). Suppose -z - 13 = -4*o. Let u be -1*(o - 10\/(-5)). Let w(t) = -3*t - 1. Calculate w(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*m - 20 + 45 = 2*m, 0 = 4*o + 4*m - 60 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3444 + 5?\nAnswer: 3449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21419124 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 77\/5 of a gram?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyyqyfyfqfyyfy. Give prob of sequence yyy.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 14 = -2*v, 6*v + 2 = 5*v. Is 13804\/10 + w\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-30)*(-7 + 1). Suppose 0 = 4*r + 32 - 8. Let f(n) = -n**3 - 6*n**2 + 3. Let b be f(r). Solve 0 = -z - v*y - 19, b*z + 6*y = y - 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 6\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -418799 in 0.03, 9, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065 divided by -22612?\nAnswer: 1065\/22612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -155.\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**33\/(s\/(s\/(s**(-1\/60)*s))))**6)**(-1\/3))**(-4\/17) assuming s is positive.\nAnswer: s**(226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/8 of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -191, -236, -241, -194, -83?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 23*p + 63. Let a be q(-26). Calculate the greatest common divisor of 24 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40441, -80885, -121329?\nAnswer: -161773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - -155. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*h = 226*h - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.032 + -0.074. Let y = -3.2364 - -3.278453. Let o = k + y. Round o to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2177324 + 0.4?\nAnswer: 0.6177324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -6\/53, 0.3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 59935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24444081 and 1161.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35741 and 2429.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2202669 divided by -21.\nAnswer: 104889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -8*k + 7*k. Let j = k + -31. Solve j*i = -4*n - 16, -2 = 5*n - 3*n - 4*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 904311 and 1161?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3826901815?\nAnswer: 5, 11, 19, 3662107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/6) + 0. Calculate the remainder when 65 is divided by (-5 - 39)*1\/n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 5*x**4\/4 + 4*x - 5. Differentiate d(f) with respect to f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z - 60 = 0. Let n(s) = -2*s**3 + 15*s**2 - 6*s - 5. Let a be n(7). Let x be ((-9)\/z - a)\/((-6)\/24). Solve -3*f - 10 = -x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5029\nAnswer: -4\/5029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4)*1 + (sqrt(12) - sqrt(48))*2)\/(sqrt(144)\/(sqrt(18)\/sqrt(3)) + sqrt(24)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6422 + 11060. Let s = 73362 + q. What is s rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 122, 183, 246?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139 + 597. Suppose -a = -2*u + 46. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/60 - z**4\/6 - 5*z**3\/6 + z**2. Let y(s) = 3*s. What is the remainder when y(4) is divided by x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**5\/80 + 5*y**4\/16 - 25*y**3\/8 + 13*y**2. Solve u(l) = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 173 = -195 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + (sqrt(468)*2 - sqrt(468)) + sqrt(468))*-2 - (-5 + (sqrt(468) + 1*(-2*sqrt(468) + sqrt(468)) - sqrt(468))))*-4)**2.\nAnswer: -4032*sqrt(13) + 68176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27193 * -332\nAnswer: -9028076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/22? (a) -5 (b) 3 (c) -1\/4 (d) 4 (e) -3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y**2 + 6*y**2 - 71*y**2 + 12*y**2.\nAnswer: -114*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 8 + 1 + 0 - 2 + (0 - 1 + 0)*(-2 - 1 + 1) - 10 + 3 - 22)*(-3 + 17*u + 3).\nAnswer: -493*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0*d**2 - 2*d**2 - 8*d**2 + 2*d**2 - 646*d**3 + 9*d**2.\nAnswer: -646*d**3 + d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1032 in descending order.\nAnswer: 1032, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -7975265.7393.\nAnswer: -7975266.7393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.77*6.4.\nAnswer: 11.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/4)\/(u**(2\/13)*u)*u**8*u**2*(u\/((u\/u**11)\/u*u)*u*(u\/(u\/(u\/((u**12\/u)\/u))))\/u*u)**11 assuming u is positive.\nAnswer: u**(2241\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151010, -151026, -151042, -151058, -151074, -151090?\nAnswer: -151106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.97. Let j = 0.97 + x. Is 2\/9 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 - -136. Let u be (-480)\/(j + (-64504)\/10750). Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/31 + -33\/62. Let w(r) = -29*r + 117. Let x be w(4). What is the second biggest value in c, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/7 - -499\/322. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 743 = -37. What is b rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = 3*j + 3, 4*j - 54 = -4*m - 66 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 1. Let j(o) = 2*o**2 + 4. Give -j(h) + 4*m(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (1 - (-12)\/3). What is the greatest common factor of 36 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 348 and 0.4?\nAnswer: 139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25583176 and 1042222?\nAnswer: 7498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:36 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -717 + 1527. Calculate the highest common factor of s and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -538, -536, -538, -544, -554, -568, -586?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.42 + 15.431374. Round o to four decimal places.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568055 - 1136032 - 3*k**3 + 567996.\nAnswer: -3*k**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 75*n**3 + 4*n + 26. Let q(r) = -75*r**3 - 3*r - 27. Let a = 37 + -41. Let j(y) = a*q(y) - 3*z(y). What is the first derivative of j(l) wrt l?\nAnswer: 225*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*((sqrt(60) + sqrt(540)*-2)\/(4*(sqrt(12) + (sqrt(12) - (sqrt(36)\/sqrt(3) + sqrt(12) - sqrt(12))) + sqrt(12))))**2.\nAnswer: 1125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) -4\/897 (b) -1\/34 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132742120 by 4424.\nAnswer: -30005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 156 = -3*u + 111, -3*u = 3*i + 21 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212 or -37973\/179?\nAnswer: -37973\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 17.55 (c) -155\/2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let o(g) = -g**3 - g**2 - 4*g - 4. Let m be o(-3). Let y = m + 18. Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -4 (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -18, -108, -12.\nAnswer: -108, -18, -12, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -816\/16003?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:12 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4*z**18)\/(z**(-11)*z*z\/(z\/(z*z**(3\/5)*z))) assuming z is positive.\nAnswer: z**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((318200\/(-21090))\/(-172))\/(5\/(-9))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5383*p - 53828. Determine s(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-10))\/(-5)*28\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53443 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4916 + 4929. Sort l, 2, 3, -3.\nAnswer: -3, 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 115570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 1 + 4 + 2*q**2 - 5*q + 0. What is the first derivative of d(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5198, 3922, 2644, 1364?\n\"Answer: -u**2 - 1273*u + 6472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1659 - 0.0559. Is -20 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -3*v + 12. Let d(n) = n**2 - 4*n + 7. Let p(z) = 2*z - 3. Calculate v*d(q) - 5*p(q).\nAnswer: -2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5 + 25*a**4 + 5*a**3 - 60*a**2 - 36*a = 0.\nAnswer: -1, -3\/4, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g + 64. Let v(s) = 10*s + 57. What is -5*p(f) + 6*v(f)?\nAnswer: 10*f + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3943 + 2*w + 3943 + 1303*w**2 in the form k + o*w**2 + y*w and give o.\nAnswer: 1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81\/712 - 1\/89. Put h, -2\/7, 2.7, 1 in decreasing order.\nAnswer: 2.7, 1, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 6*w - 5. Let u be f(-4). Suppose u*g + 59 = -a, 5*g - 54 + 149 = -a. Let d = g + 26. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100011010000011100011 (base 2) to base 15\nAnswer: -70a103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11433 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 1. Let w(i) = -9*i - 5. Let x(c) = 26*h(c) + 6*w(c). Let d(l) = -5007*l + 5000*l + 8 - 23. Calculate -6*d(b) + 22*x(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*20*8\/(-200))\/((-4)\/30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(39)\/sqrt(3) + (sqrt(13) - sqrt(468)\/sqrt(4) - sqrt(13))**2 + 5)*-3*-6.\nAnswer: -108*sqrt(13) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 13*r. Let w be g(-13). Suppose -10*i = -w*i - 40. Calculate the least common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6632 + 10?\nAnswer: 6642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 617 = 8*r - 3*r, 5*r - z = 621. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 11955 + 3073. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4088 + -541. What are the prime factors of r?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 44*j - 19 = -47*j, 4*k = 5*j - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/11)*f**(2\/5)*((f**(-1)\/f)\/f)**(-2\/21) assuming f is positive.\nAnswer: f**(194\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -186, -318120 in decreasing order.\nAnswer: 3, 2, -186, -318120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148\/246*-4*4\/64?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:48 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**3 + 2*n - 1. Determine x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467\/8 + 377\/8. Let f = g + 12. Let u be 3 - (-28)\/(-44)*(-2 + 7). What is the biggest value in 1, u, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6909251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/5 - 7180144*w\/5 + 7180143\/5 = 0. Calculate w.\nAnswer: 1, 7180143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366309*y**3 + 392525*y**3 - 3*y**2 - 4*y**2 + 3*y**2.\nAnswer: 758834*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 25*b = 5*h + 14, 3*h = -b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 4*y + 2. Let w be c(-3). What is the units digit of w*(-4)\/(-16)*-659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5 - 16*z**4 - 8276*z**3 - 172112*z**2 - 922768*z - 758912 = 0.\nAnswer: -22, -7, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*s + 2*l - 4300010, 4*s = 5*l - 8600025. Round s to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2. Let a(z) = 189*z - 72. Let x(r) = -11*r + 7. Let l(b) = -b - 1. Let s(n) = 2*l(n) + x(n). Let g(c) = 5*a(c) + 72*s(c). Give p(g(t)).\nAnswer: 243*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**20)\/(t*t\/t**8)*(t*(t\/t**4)\/t)**(-1\/8) assuming t is positive.\nAnswer: t**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49891, 49900, 49921, 49960, 50023?\n\"Answer: q**3 + 2*q + 49888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.822 + 13.822. What is the nearest to -86 in 0, g, 0.06?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53449\/294 or 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/21*(-2)\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 2*l - l + ((-16 + 25 - 18)*(-1 - 4 + 4) + (2 - 1 + 0)*(3 + 1 + 0))*(-3 + 2*l + 3)*(1 + 1 + 7) as d*l + a and give d.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -b - 54, -m - 2*b = -3. Solve 9*j - 4 = -m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79484 + -12.\nAnswer: 79472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2\/2 + 26. Let g(h) be the second derivative of 49*h**4\/2 - 19*h + 2. What is v(g(r))?\nAnswer: 294*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/7)\/((-6)\/21) - -7. Solve 4*n - u*n = 3*p - 6, 3*p - 12 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -137654 and 0.9?\nAnswer: -123888.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 8501472*i - 9034378270848.\nAnswer: -2*(i + 2125368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 156430204.07?\nAnswer: -156430205.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 661650 and 1210.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -6 + 22, 16*a - 36*x = 21*a + 137 + 82 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.82639 micrograms to grams.\nAnswer: 0.00007782639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1404\/(-273))\/((-2)\/966). Which is bigger: y or 2477?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puffuuuppppufup. Give prob of sequence uupp.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -833.33829 to the nearest integer.\nAnswer: -833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(27)\/sqrt(3)))\/sqrt(11).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + ((sqrt(24)\/sqrt(768) - sqrt(2) - sqrt(162)*-1) + -3)**2)*-1 + -2.\nAnswer: -4481\/32 + 195*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 3*c**5\/20 - c**4\/8 + c**3\/3 - 3*c**2. Let d be t(2). Suppose 0*z - d = -4*z. Solve -4*i + 0*i + z = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:48 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 188 = 2*l + 67, 4*p = 5*l - 304. Suppose -11*w - l = -17*w. Solve -s + 0 = 2*y - 2, -w = 3*s - 2*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v*v\/((v*v**0*v)\/v))\/(v*v*v**(2\/13)*(v**5*v)\/v) assuming v is positive.\nAnswer: v**(-119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21819 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 4*y**3 + 0*y - 6*y**3 + y**3 + 1 + 4*y. Give t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*b + 23, 4*v - 5*b - 8 = -2*b. Let h = v + 6. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-39) + 2\/(-13). Is 9 a factor of (j - -22) + 9\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -15*w + 19*w. Let q(g) = -3*g - 2. Calculate q(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175992023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v - 6. Let m be c(3). Solve 4*h - q + 5 = 0, 3*h + 9 = -m*h - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 836.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -391\/5. Let q = 1.071 - -0.929. Which is the nearest to -1\/6? (a) 3\/8 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 - 182. Let q(j) = j**3 - 15*j**2 + 49*j + 12. Let f be q(10). Which is the nearest to f? (a) -0.4 (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (832\/384 + 2\/(-3))*8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -2*(5 + -2*sqrt(99)) + 4)*2 + 5)*4)**2.\nAnswer: -2304*sqrt(11) + 101520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1590, -1, 0, -4\/3, -3, 1\/7, 1\/4?\nAnswer: 1590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2 - 1983844*p = 0.\nAnswer: 0, 991922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -20, -26, -30, -32?\n\"Answer: s**2 - 11*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 12*h**2 - 5. Let y be g(6). Is y - -12 - (3 - 830) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 - 63 = -20*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 5 = -21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 6518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*g - 192*g + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3184278.\nAnswer: 2, 3, 530713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.26 + -0.74. Which is the smallest value? (a) -1\/3 (b) -9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:15 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 968 and 477950?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4\/2 - 145*m**3 - 736*m**2 - 447*m + 2655\/2 = 0.\nAnswer: -3, 1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -40436.\nAnswer: 21\/20218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {i: 2, e: 1, z: 1, m: 2, c: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9 = -1. Suppose -2*m + 8*l = 4*l - 8, 4*l = s*m - 14. Let c(w) = -7 - 5*w - 5*w**2 + 5*w**2 - w**m. Determine c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 3. Let m(v) = 3*v + 8. Let k(a) = 11*f(a) + 4*m(a). Let d be k(3). What is the highest common divisor of d and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 8*p**2 + 7*p**2)*(5*p - p - 2*p)*(-2*p + 5 - 6 - 3).\nAnswer: 16*p**4 + 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20.3 (b) 2 (c) 2\/15 (d) 5 (e) -2 (f) -0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13161 - -947609\/72. Calculate the common denominator of -109\/120 and v.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/68529?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.6 + -0.6. Let y = -19 - j. Let n = y - -36.3. What is n rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-1 + (3*(sqrt(343) + 1 + sqrt(343)) + 3 + sqrt(343)*-2)**2)*-6 + 4.\nAnswer: -497066 - 30240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.944 + -25. Let y = q - -0.197. Let l = y - 0.1409839. What is l rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from affuar.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -7 + -4 - (6 - (-5 - -26))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 21*x**2 + 2*x - 3. Calculate n(2).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 1)*(8*i**5 - 14*i**5 - 8*i**5).\nAnswer: -140*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2358*o**3 + 2371*o**3 - 11 + 2 + 2373*o**3 - 7099*o**3.\nAnswer: 3*o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202109751 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14295449 to the power of 1\/2, to the nearest integer?\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21537 is divided by 359.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 415, 733, 1051, 1369?\n\"Answer: 318*l + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 2\/5, -34.2, -0.39629?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbfvfb. Give prob of picking 1 v and 1 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {b: 4, k: 3, y: 1, g: 1, u: 2, r: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645)*2)\/(5*(-1*sqrt(9) - sqrt(9))).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8559 or 8557?\nAnswer: 8557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32170 + 41682 - 4732 = -1536*v for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 34, -7\/138, -1.5?\nAnswer: -7\/138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -74, -165, 2.41, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6864 divided by -78\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/120 - d**5\/60 + d**4\/24 + d**3\/6 - 95*d**2 + 2. Let i(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*k**3 + 0 - 1\/5*k**2 + 2\/5*k.\nAnswer: -k*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 129710925 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(2*-1*(-6)\/(132\/77)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -112\/1963 smaller than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 + 3*z**2 - 4*z + 3. Let m be q(2). Is (-12)\/m*(-9)\/(-3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 47*d + 206. Let w be f(6). Suppose -k - 9 = -4*k. Suppose 52 = 5*m - j, 4*m - k*j = j + w. Calculate the remainder when 41 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 1 = -v, -14*b + 15 = -8*b - v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -164, -228, -316, -434, -588?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7*i = 3*i + 15, 2*t + 2*i = 30. What is the remainder when 162 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 3*a**2 - 2*a - 6. Let p be w(-4). Let c = -749 + 765. Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -2. Let b = 2.87 + -2.7699. Let d = b + q. Round d to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3721 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3562783773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2.27, 1\/2, -0.06 in decreasing order.\nAnswer: 3, 1\/2, -0.06, -2.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*y + 29 = 19, 26 = 4*x + 2*y. Which is the fourth smallest value? (a) -2 (b) 0.2 (c) 0.1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 3*d - 2. Let y = -2 - -4. Let f be 5\/10 + 7\/y. Let u be r(f). Solve -2*p = 3*p + 4*s + 17, -2*p + u*s = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/14 - (-22)\/4. Solve -116*t + 114*t - k = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from biibbbi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*s - 160*s + 3 = 3. Which is the closest to s? (a) -0.1 (b) 0 (c) 10 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268230.\nAnswer: 2, 3, 5, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:12 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64675, 129471, 194267?\nAnswer: 259063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i. Let k(m) = 5*m - 90 + 90. What is 11*k(y) + 4*t(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8127 * 0.7.\nAnswer: -5688.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3) + 80\/42. Let a(t) = 2*t**2 - 7*t - 3. Let z be a(4). Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 2, d: 1, g: 1, p: 1, q: 1}. What is prob of picking 1 g and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33348087 - 6?\nAnswer: 33348081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f - 4. Let r be d(6). Suppose 0 + r = j. Let t(n) = n**3 - 9*n**2 + 10*n + 3. What is the remainder when t(j) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51\/26 + -6\/13. Let h = -2509 + 2508. What is the closest to h in d, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/128*-4)\/((-2)\/(16\/12))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12662, -24606, -36550, -48494?\n\"Answer: -11944*w - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -35\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/11)*p**(14\/9)\/p*(p\/p**30)\/(p\/(p\/(p**12*p))) assuming p is positive.\nAnswer: p**(-4085\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32703263 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18699 is divided by 220?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 13\/5) + 1. Let t = -0.12 - -0.04. Let q = t + -0.32. Which is the closest to -2? (a) n (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9) - (-14)\/6. Let o(q) = q**3 + 18*q**2 - 4*q - 44. Let t = 49 + -67. Let m be o(t). Sort m, 4, u in decreasing order.\nAnswer: m, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - 5 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 166*g - 57*g - 6 - 55*g - 53*g. Let k be 18\/45 - (-48)\/5. Give w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 7, m: 1, e: 1, x: 7, k: 3}. Give prob of picking 1 f, 1 e, and 1 k.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k - 10*k + 9 - 9 as f*k + a and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -43.54, -48, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7*v - 2*v - 190 = 0, -2*v = -4. Suppose -2*h + 58 - m = 0. Let j(y) = -10*y**3 + 1. Determine j(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**2 - 18 - 15*k**2 - 1 + 26*k + 9*k**2. Let u be t(-14). Let h(b) = -1 - 29*b + 85*b - 29*b + 6 - 29*b. Give h(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 44298*d**3 - 2*d**2 + d - 1. Let w be f(6). Let m = w - -16009957. Suppose m + 2921742 = 5*o. What is o rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 4*u - 4. Let r be i(5). What is the derivative of 4*s**3 - r + 0*s + 0*s + 30 wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (4\/2)\/(-2). Let s(f) = -f**3 - 6*f**2 - 3*f - 5. Let l be s(-6). Let k = 19 - l. Solve -i*q + 0*q - k = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*g = 0, -5*z - 2*g + 2 = -10. Let f(s) = -5*s - 1. Let j = 20 + -19. Let a(v) = -v + 3*v + 4*v + 0*v + j. What is z*a(r) + 5*f(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 57\/4 (b) -4 (c) -0.1 (d) 4 (e) 3\/14 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 8*x + 9. Let t be h(-9). Let k(o) be the first derivative of t*o**2 + 1 + 2\/21*o**3 + 0*o. Determine q, given that k(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 15*l**2 - 15*l - 35. What is the hundreds digit of f(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + (-438)\/(-4). Calculate the common denominator of (0 - 2) + g\/(-12) and -75\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:03 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 - 22*t**2 + 18*t + 3. Is a(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8052383 grams in tonnes?\nAnswer: 0.0000008052383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39043533.3 rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 10. Let b be o(-3). Let z be b\/(-3) - 12\/9. Solve 2*a = 5*a - 5*d - 5, -2*d = z*a + 33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 151981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*c + 11871 = -732*c - 1277*c + 734 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (sqrt(2057) + (2 + sqrt(2057) - sqrt(2057)) + -1 - -2*(sqrt(2057) + -1) - (-2 + sqrt(2057) + 1 - (-1 + sqrt(2057) + sqrt(2057))*3)))**2.\nAnswer: -352*sqrt(17) + 131651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 - 1132*j\/11 + 160178\/11.\nAnswer: 2*(j - 283)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -773472 by -18416.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 3*b. Let r(i) be the third derivative of i**5\/6 + 5*i**4\/8 + i**3\/6 + 3*i**2 - 5. Calculate 11*o(t) + 2*r(t).\nAnswer: -2*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/5 + 46*o**3\/5 + 48*o**2 - 288*o\/5 = 0?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((176\/(-24))\/(-11))\/(3\/18). Solve 5*w = -3*q - q + 30, 2*q = 3*w + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*r**3 - 2*f*r**2 - 37046*f*r - 104068*f wrt r.\nAnswer: 3*f*r**2 - 4*f*r - 37046*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnndnndn. Give prob of picking 2 n.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 + -653\/5. Sort o, 0.5, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103602 divided by 1114?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3885, 31177, 105263, 249543, 487417, 842285?\nAnswer: 1337547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/(-63))\/((-12)\/72)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24999888 or 24999885?\nAnswer: 24999885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 2475?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(84\/(-8)))\/((-4)\/7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 13 - 5*r - 3*r - 8.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 46*j - 12 = -49*j, -j + 2 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1660749270 and 2.\nAnswer: 1660749270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -0.281, 5\/4 in increasing order.\nAnswer: -0.281, 5\/4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))\/((b*b**(3\/4)\/b*b)\/b))\/(b*b**(14\/9)*b*b**(-13)) assuming b is positive.\nAnswer: b**(313\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k - 1110 = -58*k. Let u = 64 - 120. Let f = u + k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -68 and 526713.\nAnswer: 526645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6011258kg?\nAnswer: 601.1258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*h + 392 + 2906 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.122 rounded to 1 decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/21*2*(-38)\/380?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 3*v + 3*v + (-39 + 43 - 98)*(1 + v - 1).\nAnswer: -92*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2 + 285*s + 140.\nAnswer: 5*(s + 28)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.094 (b) -145 (c) 3799\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(14)\/sqrt(2)) - -2*sqrt(12)\/sqrt(4).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (16 - (11 - -13))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.047 and 0.6365833?\nAnswer: 0.6835833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*m = 308*m - 8*q + 80, -3*m + 2*q - 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -2)*((-4)\/(-10))\/1. Suppose k*q = -5*u, u = -u. Sort -1, -5, 2\/9, q.\nAnswer: -5, -1, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917840 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 12*v - 42. Let l be d(-3). Let s be (1 - 8\/9)\/1. Which is the closest to -0.2? (a) s (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s - 12, 3*s = 3*t - 801. Suppose 11 = -4*l + t. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145229483*l + 408125983.\nAnswer: 145229483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -64, -67, -70?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 371 divided by -58746\nAnswer: -371\/58746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: c37 (base 16) to base 7\nAnswer: 12055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 4 + 2. Is 12 a factor of -3 - (-508 + (l - 0\/1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -870, 26\/21, 2\/11, 2\/9.\nAnswer: -870, 2\/11, 2\/9, 26\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -5 (c) -1\/5 (d) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 + 91*f**2 + 1974*f - 4320 = 0.\nAnswer: -48, -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*v, 3*v + 16 = -6*z + 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*b + 18 = 0, 12 = -2*b + 2. Let p be (-80)\/(-44) - 2\/x. Let v(q) = 9*q + 267. Let o be v(-29). Solve s - 2*s - p*a + 6 = 0, 4*a = -5*s + o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 243\/305 + 5309\/610. Let v be 3 - 1 - 1109876\/(-72). Let w = v - 15409. Find the common denominator of w and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = s + y + 294, 2*y - 6 = 0. Let m = s - -334. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/112860 and -181\/330.\nAnswer: 112860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.987 - -0.013. Let z = -29.06 + b. Let r = -0.04 + z. What is the biggest value in -5, r, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.0875\nAnswer: -0.04375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 + 54. Let p = 85.4 + m. What is p rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2510584*r + 26*r**2 + 2510584*r.\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Suppose s + 1 = x. Suppose 0 = x*m + p - 16, -3*m - m + 2*p + 28 = 0. Solve 0*h + 2 = -4*h - m*l, 0 = -h - l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + (-213)\/6)*(2 + -4). Find the third derivative of d*h**3 + 114*h**2 - 691*h + 691*h wrt h.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -68.9. Round n to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0 + 2, 0 = -4*i + 4*f + 16. Suppose 10*x - 11*x = 0. Put i, -3, 1, x in descending order.\nAnswer: i, 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*s**4 + 4*s**2 + 2*s + 1 wrt s?\nAnswer: 180*s**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2210 in 1\/8, 4, 0, 2, 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 853570520 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284117*w**5 + 2*w**4 + 3*w**3 + 5921878*w**2 wrt w?\nAnswer: 17047020*w**2 + 48*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 327 = -2*a, -3*a + 345 = d - 138. Calculate the greatest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185819\/6, -4, -46.\nAnswer: -46, -4, 185819\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6527*x**2 + 8846*x**2 - 4192*x**2.\nAnswer: 11181*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 - 35. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 2*r**2 - 15*r - 10. Let t be d(6). Is 400\/9 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 10) to base 8\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7471.38 decades?\nAnswer: 747.138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7304.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-128)\/(-40) - ((4 - -1) + -5). Let k*s - 6\/5 - 3\/5*s**2 = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169475.99999865401 + 169476. Round k to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 8. Let d = 10 - y. Suppose -3*l + 1 = -d*l. Let h(m) = -m**3 - 2*m**2 - 2*m - 1. What is h(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -639 + 638. Put -0.1, 1.8, k, -2 in decreasing order.\nAnswer: 1.8, -0.1, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 55 = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 687, -5, -6, -26.\nAnswer: -26, -6, -5, 0, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -11. Let z be ((-3)\/(-2) + -1)*(y - -12). Let i be 3 + 0 + -1 + 2. Solve -z*o = -i*o - 5*c + 24, 4*o - 5*c + 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 + 4*b - 5. Let l be o(5). Suppose 0 = 2*k + 19 - 193. Suppose -3*g - 3*t = -k, -3*t + l - 47 = 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261156.2 * 2\nAnswer: -522312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/63)\/((-2)\/6) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 5:52 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/12705*-143 - (-12)\/22)\/7\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -59, 0 in increasing order.\nAnswer: -59, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, 4, 6, 208605?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/180 + 25*a**3\/3 - 14*a**2 - 3. Let x(t) be the first derivative of c(t). Let r(b) = 195*b. Determine x(r(o)).\nAnswer: -76050*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-6)*(-68)\/17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*j + 32, -2*r - r = j - 19. Suppose 0 = 2*v + r + 2. What is the units digit of 42\/18 - v\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5828?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.2 (b) 41 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.06 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*k + 2. Let f = 89 - 156. Let w = -66.9 - f. What is the second biggest value in -17, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 3 + sqrt(19)*1 + (sqrt(931) - (sqrt(931) + (sqrt(931) - sqrt(931)*-2))) + sqrt(19) + 1)**2.\nAnswer: -144*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6402663 (base 7) to base 12\nAnswer: 314003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*79995\nAnswer: -223986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.1 (b) 10 (c) 1 (d) -0.6 (e) -11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3278*z**4 + 6487*z**4 - 3243*z**4 + 146*z**3 to h*z**2 + a*z**4 + m + x*z + r*z**3 and give r.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/390 and 73\/650.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**10\/15120 - s**8\/672 + s**6\/90 - 25*s**4\/12 - 63*s. Let f(m) be the third derivative of o(m). Let f(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 0, -4*l + 17 = -l - 4*y. Suppose 5*u - 647 = -3*k, k - 560 + 175 = -l*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 30 = 0, -j + 5*k + 34 = 9 + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3 - 3)*(0*h**4 + h**4 - 3*h**4) - 23*h + 2*h**5 - 16*h + 34*h.\nAnswer: -2*h**5 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2342*w**3 + 1258*w - 688*w**3 + 1429*w + 2091*w**3 wrt w.\nAnswer: 22470*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*i + 49, 4*p + 0*i = -i + 59. Let r be ((-8)\/3)\/(10\/p). Let t be 0\/3 - 1 - 5. Sort t, -3, r.\nAnswer: t, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*55 - (5 - 1). Let i = -15 - v. Calculate the remainder when 173 is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.9 + -8. Let x = o - -0.055. What is x rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-68)\/6*(-9)\/6. Let c(b) = b**3 - 5*b**2 + 3*b - 6. Let p be c(5). Let o = n - p. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:41 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 18*s**2 + 6*s**3 - 28*s**2 + 18*s**2 + 21*s**2 - 2*s to h + i*s + l*s**3 + j*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 11:40 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u\/(u*u\/u**(-4\/3))*u)*u**(-1\/5)*(u**(1\/2)\/u)**(-21\/4) assuming u is positive.\nAnswer: u**(451\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4821914?\nAnswer: 2, 17, 37, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 214?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1194*o**3 - 2*o - 1 - 1 - 11024*o**3 + 0*o.\nAnswer: -9830*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - w**2 + w + 1. Let h be f(-1). Let t be 4 + -3 + h + 70 - 0. Let l = 71 - t. Solve 3*z + l - 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 3. What is the units digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 - 2*a**2 + 4 - 2*a**2 + 7*a + 0*a**2. Let f(h) = h**2 + 2*h + 2. Let r be f(-2). Suppose 18 = -r*i - i. Determine u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r - 9*r - 30*r**3 - r**3 - 28*r**3 - 22*r**3 as i*r**3 + v*r + f + q*r**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 11*i + 126. What is the remainder when h(0) is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(15*n**3 - n + 2*n**2 + 184887 + 16*n**3 - 184886) to s*n**2 + r*n**3 + o*n + q and give r.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2754 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 12*a + 6. What is f(6)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 - 27 = 0. Let v be h\/(-6)*(-3)\/2. Suppose -t + p = 3 - 4, -2*t - 19 = 5*p. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.611 + 16.271. Let o = 1.17 - 0.03. Let x = o + w. Round x to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9761236703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p)**(1\/25)\/(p\/p**(-9)*p*p*p**(-3\/2)*p) assuming p is positive.\nAnswer: p**(-286\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20352176855 and 0.4?\nAnswer: 20352176854.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3251802768 to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*o - 503 - 723 + 121 - 59 + 67*o to a*o + m and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2, -35 in increasing order.\nAnswer: -35, -2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, c: 10}. Give prob of picking 2 c and 2 v.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Suppose -3*z + 1 = -m - 4, 0 = -s*z + m + 8. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5\/7 - 54223*t**4\/7 - 72288*t**3\/7 + 72292*t**2\/7 = 0. Calculate t.\nAnswer: -18073, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-132)\/(-385)*5*(-21)\/6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkz when three letters picked without replacement from zkkkzvzzv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*f**5 + 84*f**5 - 257*f**5 - 4 + 4 - f**5 + (-f**5 + 4*f**5 - 5*f**5)*(-3 + 3 - 2) + 3*f**3 - 3*f**3 - 14*f**5.\nAnswer: -78*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4913 - 3508. List the prime factors of d.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10135 (base 9) in base 4?\nAnswer: -1220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 + -534455?\nAnswer: -534235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (1*sqrt(35))\/sqrt(7) + 5 + (sqrt(80) + (sqrt(80)*1 - sqrt(80))*2 - (1*sqrt(80) + -3 - sqrt(80))))**2.\nAnswer: 180*sqrt(5) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*w = -6*w + 11, -2*w = 4*v - 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38612\/29 or -1330?\nAnswer: -1330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 832 + -834.935. Let u = 0.065 - z. What is the nearest to 0 in u, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25385030 is divided by 1335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4434.99 + 4435. What is the closest to 2\/3 in 1\/4, q, 4, 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -15.66.\nAnswer: 10.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**3))*p)**(-7)\/(p**(1\/4))**(-47))**(2\/9) assuming p is positive.\nAnswer: p**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2235343 to 4 decimal places.\nAnswer: -0.2235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79194 less than -7076.62?\nAnswer: 72117.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 159\/(-6) - 3\/(-6*1). Let m = 60 + i. Suppose 0 = 7*v - 76 + m. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-45))\/(900\/(-1250))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 310 + 674 = -5*k, 2*i - k - 1995 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmomoxmomomx. What is prob of sequence mm?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 15 = s, 54*t + 86 = -2*s - 2*s - 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 44*v - 721. Let t be c(16). Suppose 12 = -d - 4*r, d + 3 = 4*d - r. Let z(y) = y + 3*y + d*y + 20 - y. Let q(a) = a + 7. Calculate t*q(p) + 6*z(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1200524632 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1118722, 1118742, 1118762?\n\"Answer: 20*w + 1118702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*a + 2*b, -2*a = 3*a - 4*b - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**9 assuming w is positive.\nAnswer: w**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39919 - 1681. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4673.3884 to the nearest 10.\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 3*r - 1. Suppose 0 = -2*w + 4*c - 8, 0*w - 5*c = w - 24. Calculate j(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/36 and (-2)\/15*(76109\/2904 - 22\/(-8)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5786 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -298979*y**2 + 95*y + 197234447?\nAnswer: -597958*y + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0495, -29\/18, -69?\nAnswer: -29\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-103)\/(-17) - (-38 + 44))\/(-9 + 12)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7 - 3 = 0. Let j be (13\/(-5) + v)*1. Let p = -2\/11761 + 11769\/47044. What is the third biggest value in 3, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-86 + 92)\/(4\/6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1749390 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107.03 and 0.1.\nAnswer: 10.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 188678840 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2 = -4*a, 4*a = -5*l - 3 - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 - 23) - 15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvqvvvvvv. Give prob of picking 1 q and 3 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 36*b + 21 = 0. Suppose -b*i = -2*d - 365, -3*i = -0*i - 5*d - 377. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/28)\/((2\/(-7))\/2). Suppose 8 = -2*x + 2*w, -12 = j*w - 7*w. Solve -2*s - 5*t = -35, x = 3*s + 2*s + 2*t - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-126665.\nAnswer: -759990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(605))**2 + (sqrt(5) - (sqrt(5) + 0) - sqrt(5)) + -5.\nAnswer: 21*sqrt(5) + 601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1629979595 to the nearest integer?\nAnswer: 40373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-4) + 1*3. Let n be 8\/(-4) + f + 5. Solve 10*m + m**2 + 0*m**2 + n - 8*m = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708644521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 2*i**2 - 2*i + 4. Let t be a(0). Let b = 10 - 17. Is (t\/b + -2)*-14 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 112.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2156 and 417676?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-10))\/(18\/45). Let t(z) = 64*z**3 + 4*z**2 - 38*z**3 - 2*z**r - 1. Determine t(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n = -4*q - 204625 + 204617, -q + 29 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 698, 721, 744, 767, 790?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50323 is divided by 352.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 3. Let y be m(3). Let s = 15 + -11. Suppose 10 = 5*a + s*o, 4*o = 2*o - 10. Solve -4*t - c = -a*c - 17, -y = 3*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*i - 12. Suppose 15 = i*w - w. List the prime factors of (w\/(-4))\/(2\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrbr when four letters picked without replacement from grarabarbgybarabrgb.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 0.5. Let b = 7 - x. Put b, -4, 3\/4 in decreasing order.\nAnswer: b, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 11*o + 12. Give c(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 7. Let d(t) = -2. Determine 22*d(g) + 6*j(g).\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 20*c. Suppose 0 = 4*h - 7 + 39. Let l = -5 - h. Let z be (1\/(-2))\/(l\/6). What is s(z)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 5*c - 15, 2*t - 3*c - 9 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5637, 147, -0.4?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a*g**2*i**6 - 2*a*g**2*i**4 + 5*a*g**2 + a*g*i**2 - 2*a*g - 3*a*i**2 wrt i?\nAnswer: 2280*a*g**2*i**3 - 48*a*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2846 = 3*d - 2737. Is 82 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 62 + 18 - 112 + 6*n.\nAnswer: -2*n - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 9653 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87011879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 102a04c - 4?\nAnswer: 102a048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -22 in increasing order.\nAnswer: -22, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.016 - 44. Let n = m - 0.216. Which is bigger: 4 or n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 13\/(-1)) + 1. Suppose -4*b + 2*m + 52 = 0, 47 = 4*b + 4*m + 7. Calculate the greatest common factor of z and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25048612, 25048607, 25048602, 25048597, 25048592?\nAnswer: 25048587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**3 + 3*r**2 + 4*r + 2. Let n be f(-1). Suppose -n*x = 9 - 49. Suppose -3*k + 6 + 0 = 0. Solve 3*u + k = -0*u + x*z, -5*u = z - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-13 - (17 - 31)) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 3. Let k = c - 37. Let y = -17.5 - k. Sort -0.16, -2\/9, y in decreasing order.\nAnswer: -0.16, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/5 + -3\/10. What is the closest to t in -4, 1\/9, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 21*n - 9. Let x(g) = g**2 + 9*g + 5. Let b(i) = -3*d(i) - 7*x(i). Let l(u) be the first derivative of u**2 + 14. Determine b(l(v)).\nAnswer: -4*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from rfdidr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8118*j + 4164542. Give h(-513).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347010386 a multiple of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -412\/5 in 0.5, -34, -9\/11?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*z = -6, 2*q - 5*z + 4 = -4. Let k be q\/(-4)*(-14)\/21. Find the first derivative of 2*v**3 - v**4 - k - 2*v**3 wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/56312473 or 1?\nAnswer: 6\/56312473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhch when four letters picked without replacement from hhchjhrjjjy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11703 + -2828. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/4)\/(258\/(-24) - (-56 + 45))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**5 - 5*d**4 - 11*d**2. Let n(t) = 6*t**5 - 8*t**4 - 17*t**2. Let k(l) = 8*a(l) - 5*n(l). What is the third derivative of k(b) wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 59.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8548?\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v**3)*(2*v + v - 4*v) + (-1 + 1 - v**3)*(-5*v + 8*v + 6*v).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 19, -109, -277, -479, -709?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*f**6 - 3*f + 417259*f**5 + 14*f**2 - 417259*f**5 wrt f?\nAnswer: -11400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27361 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**4 - 924*v**3 - 1968*v**2 - 988*v. Let s(y) = 2*y**4 - 933*y**3 - 1967*y**2 - 987*y. Let x(j) = -6*s(j) + 5*w(j). Solve x(i) = 0.\nAnswer: -1, 0, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*z**2 + 73*z**2 + 63*z**2 + 71*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 16*j - 65 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 288131 minus 0?\nAnswer: 288131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355142 + 80337 = -5185*x for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/36 and -83\/2568.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 14079258.\nAnswer: 14079255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b + 41*b + 12 = -g, -3*g - 12 = 3*b. Let h be 9\/6*4\/6. Let w be h\/((-2 + g)\/12). Is -3 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from hhfhfhhfffzzhfhfifhf.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*l**3 - 160582*l**2\/5 + 487966*l\/5 + 264 = 0.\nAnswer: -220, -1\/370, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 14*y**2 + 43*y + 5. Let o be q(-9). Solve 2*w - 12 = -4*a, -o = -2*a + w - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -8) + 3 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.62771985 take away 156?\nAnswer: -224.62771985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(110) + sqrt(110) + -1*sqrt(110))*4 + sqrt(110) + sqrt(110) + 3*sqrt(110)*-1)\/(sqrt(30)\/sqrt(12) - -2*sqrt(30)\/sqrt(3)).\nAnswer: -1 + 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**2\/2 + 13*b + 2. Let n be h(-6). Suppose 0 = 4*y - 2*f + 3 + n, -y + 2*f = -5. Put 5, 0, y in decreasing order.\nAnswer: 5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -189585250 to the nearest 1000000.\nAnswer: -190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11592956 divided by -2898239?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 266935927 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(132)\/(-4*sqrt(4)))\/(sqrt(539)*-1).\nAnswer: -3*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 13*t**3 - 2*t + 2. Let p = 1525 - 1524. Let d(l) = -l + 1. Calculate p*d(w) - q(w).\nAnswer: -13*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -86.03. Let r = t - 1.03000194. What is r rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 + -1 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/712 and 64\/3.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82524, 82537, 82550, 82563, 82576?\nAnswer: 82589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 2:28 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -24\/5*n + 2\/5*n**4 - 12\/5*n**3 + 8\/5 + 26\/5*n**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 43 - 47 = 5*h, 4*n = 2*h + 24. Which is the third biggest value? (a) n (b) -0.02 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4 - 261*d**3 + 15390*d**2 - 177132*d + 294840 = 0.\nAnswer: -130, 2, 14, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 341*u**6\/30 - 231*u**2\/2 + 127*u. Find the first derivative of b(j) wrt j.\nAnswer: 1364*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774523090 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, -11832, 5, -4, -15 in descending order.\nAnswer: 5, 0, -2, -3, -4, -15, -11832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/((-29930)\/(-246))*(-2)\/12.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n. Suppose -3*l + 51 = q, 5*l + n*q - 85 = 3*q. Let a(k) = k + 9. What is the remainder when l is divided by a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -10 - -9) + (0 - -2) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdmm when four letters picked without replacement from msumssbmmdmsmbmusm?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 19*g + 75 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 182\/30 + (-2)\/30. Let t be n\/(-4)*(-152)\/(-798). Is -0.267 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 412, 3\/5, 65\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9009074857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k + 24*k - 2*k**3 - 4*k**3.\nAnswer: -6*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 878, 3046, 7284, 14282, 24730, 39318?\nAnswer: 58736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 1, q: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1679*c + 8395. Determine l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -89*j**2 - 96*j + 3. Determine f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293133419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 22\/(-10))*(4 + 1). Let g be ((-4)\/k)\/(10\/(-17)). Which is smaller: 6 or g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1. Let u(y) = -y - 19. Let s(j) = 5*d(j) + 5*u(j). What is the tens digit of s(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*c**2*d*n**3 + 2*c**2*n**2 + 51*c**2*n - d*n - n**3 + 1 wrt n?\nAnswer: -150*c**2*d*n + 4*c**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001554 is divided by 143077.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -2*k + a + 2*a, -5*k + 1418 = -4*a. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0172961 to five dps.\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 6. Let m be d(0). What is the derivative of 4 - 2*c**3 - 2*c**3 - m wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*j + z + 20, -j = 4*z - 14. Let k(y) = 3*y - 3. Let f be k(j). Let b(m) = m**3 - 3*m**2 - m + 3. Let q be b(3). Solve q*g = 3*g + f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 - 2*q + 3. Let u(r) = 3*r - r**2 - 5*r**2 - 3 + 0*r**2. Let a(p) = -7*k(p) - 6*u(p). What is a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*f**2 - 28 - 1 + 20 + f**3 + 4 + 3.\nAnswer: f**3 - 324*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(425) + sqrt(425) + -1)*5)**2 + -2 + -5.\nAnswer: -11000*sqrt(17) + 1062977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1070*d**3 - 5*d - 4 wrt d.\nAnswer: -6420*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(98) + sqrt(98)) + -5 - sqrt(16)\/(2*sqrt(24)\/sqrt(3))*4)**2.\nAnswer: 720*sqrt(2) + 10393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 15*i + 28. What is the tens digit of w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 97 - 14*z + 223.\nAnswer: -14*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 46*r**2 + 40*r - 22. Let f(h) be the first derivative of 5*h**3 + 13*h**2\/2 - 7*h - 9. Let z(c) = -16*f(c) + 5*v(c). Let z(p) = 0. What is p?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-2 - (-8 + 4)). Let c be (g\/(-2))\/((-1)\/(-4)). Solve s - 15 = -c*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/163700 and 13\/655?\nAnswer: 21444700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3521172.\nAnswer: 2, 3, 293431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285180 and 17700.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (70 + 1) - (936 - 933).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*j - 393 = -99*j. Let y = j + 150. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1148*a**2. Let r(b) = 43*b - 5. Let h(y) = -51*y + 6. Let m(i) = -5*h(i) - 6*r(i). Determine m(o(v)).\nAnswer: -3444*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*j - 300*j - 309*j = 3223. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22274 + -21558. What is the remainder when 2167 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from gbwwngnngswnn.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000112154 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243911 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367422 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from hscccss?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*i**(-1\/6)*i)\/i)\/(i\/(((i**(-1\/2)\/i)\/i)\/i)*i))\/(i**(-2\/3))**31)**29 assuming i is positive.\nAnswer: i**493","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4614 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52\/223 or 1352?\nAnswer: 1352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215 + 215. Suppose -69*x + 80*x - 110 = w. What is the remainder when 49 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -2, 174, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232381 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 46 + -50?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*p + 17*p + 270. Suppose 3*y = 18*y - p. Solve 4*t = 6*t + 4*h - y, h - 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.15, 1\/4, 0.3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91395100 rounded to the nearest 1000000?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58548*l**3 + 3*l**2 + l - 592 wrt l.\nAnswer: 351288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(76) + sqrt(76)))**2.\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (1 + -2) - (-13092 - 529) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/4 - 6654075*r\/2 - 14758904701875\/4 = 0. What is r?\nAnswer: -2218025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11.2, 24, -8\/5.\nAnswer: -11.2, -8\/5, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1216) - sqrt(1216)) + 0 + 3*1*sqrt(1216))**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Let f(i) = -i**3. Let q(z) = -z**2 - z + 3. Let o be q(-3). Let w be (-1 - -1) + o + 2. Let y(s) = -5*s**3. Determine j*f(k) + w*y(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 1 - (-2 + (16 - (4 - -19))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(3\/(-18)). Let i = n - 4. What is the third derivative of 3*p**2 + 3*p**5 - 3*p**5 - p**2 - i*p**5 wrt p?\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -623*m**3 + 2*m**2 + 9*m + 6. What is c(-1)?\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635356.\nAnswer: 2, 193, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2685385\nAnswer: -805615.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2939 = -19*i + 1432 + 1241 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27848 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1 (c) -0.064 (d) 1\/4 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*((k**(-6)*k*k)\/k)\/k)\/((k*k**(-1\/4))\/(k**(1\/4)\/k)))\/((k**(-2\/7)\/k)**28\/((k*k**9)\/(k*k**6*k))) assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 8. Suppose 4*d = n - 5. Suppose -d*p + 5*p = 12. Solve p*s + 7 = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 309 = 23*d - 26*d, 0 = d - 2*p - 100. What is the remainder when 3477 is divided by d?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/2 - 6*f - 27\/2 = 0?\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 - 165576*z + 7116070 = 0.\nAnswer: 43, 82745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 3*c**7\/7 + 4*c**3\/3 + 10. Find the third derivative of m(x) wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 86 = -5*c, 2*s + 7*c - 11*c = 60. Let k = -7 + 8. Differentiate 3*w**3 + w**3 - 4 + k - s*w**3 with respect to w.\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*1*(-38)\/(-95). Solve -5*k - 2*y - 2 = 6, -w*k = -5*y - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a + 3. Let j be h(0). Solve 2 = -5*y - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - 6561*n**2 + 1072554*n + 537872. Let k(s) = 75*s**3 - 124660*s**2 + 20378525*s + 10219560. Let j(b) = 115*f(b) - 6*k(b). Factor j(y).\nAnswer: 5*(y - 328)**2*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26012245 is divided by 29968.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*x - 18 = 135*x. What is the tens digit of x\/4*(-660)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38388 equal to 38613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-8)\/40*5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-1 - 3*-1). Let w = -1\/51 + 157\/204. Is y <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12293 - 12282 + 24575 - 124*r - 9*r.\nAnswer: -133*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0 + 5 - 21*l + 4 + 22*l. Let x be o(-6). Factor -x*r**2 + 3\/2*r + 0 + 3\/2*r**3.\nAnswer: 3*r*(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-4 - (-50)\/12). Let o = -1 + 0.98. Let k = -0.42 - o. Which is the closest to d? (a) -3 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 134531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/2, -4\/51, -8.5, -5?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.5, 66798, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.91 - 0.19. What is x rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(54\/(-8)) - (-1810)\/1629.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -820*h**4 + 18*h**2 - h wrt h?\nAnswer: -19680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 6. Let f be c(6). Let d = -1252 - -3793\/3. Let s = f - d. What is the second biggest value in 4\/3, -2\/13, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -4165b4?\nAnswer: -4165c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 15)\/(1\/4) - 287\/41.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 154, 257, 418, 637?\n\"Answer: 29*b**2 + 16*b + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekkkkkkkerkkekkkr. What is prob of picking 3 e and 1 r?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 5121.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*f = 359*f - 161 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**2. Let l(y) = 23*y**2 + 15*y + 5. Let p(f) = 896*f**2 + 588*f + 196. Let v(r) = 196*l(r) - 5*p(r). Give v(k(w)).\nAnswer: 4732*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -260, -16 in ascending order.\nAnswer: -260, -16, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d + 111*d - 70 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 75*b + 650.\nAnswer: (b + 10)*(b + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/27)*r**20*(r**(1\/11))**44 assuming r is positive.\nAnswer: r**(674\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:16 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 - i**4 - 2*i**4)*(-4 + 1 - 1) + 4*i - i - i - 2*i**4.\nAnswer: -10*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921*g + 6240 = -1161*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 0)*(-f + 0 + 2 + 0) + 36*f + 522*f + 643*f.\nAnswer: 1200*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23437*c + 12306*c + 11076*c.\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2344 = h. Suppose -2*x - x + h = 5*n, -2*n + x + 230 = 0. What is the second derivative of -6*t**2 - 116 + 0*t + n - 5*t wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12400*y**3 + 13*y**2 - 1274.\nAnswer: 74400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -32. Suppose x - 17 = h*m, -2*m - 6 = m. What is the remainder when 24 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 30545*q = 30546*q + 372, f - 31 = q for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**4\/8 - 2*r**2 - 77. Let d(i) = 163*i. What is x(d(k))?\nAnswer: -489*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {n: 1, c: 10, k: 7}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 - 4 = 0. Suppose -4*w + 8 = -m*w. Solve 2*s = w*s - v + 12, 23 = -3*s + 4*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4 + -3 + sqrt(40)\/sqrt(8))**2 + -1).\nAnswer: 4*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 3*h - 26*h - 102*h**3.\nAnswer: -102*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwyvrvrvrcr. Give prob of picking 2 v, 1 w, and 1 r.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-322)*(-18543)\/5298\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(33\/4))**(1\/32)\/(((c**(2\/9)*c)\/c)\/(c**(-1)*c))**(16\/7) assuming c is positive.\nAnswer: c**(-2017\/8064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*y + 6 = -5*s, 5*s = 3*y - 9. Suppose s = 3*c + 2*c - 525. Let w = -36 + c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 5, 9 in descending order.\nAnswer: 15, 9, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228\/5 - 46. Let w be -43 + 13 + -1 + -1. Let x = 36 + w. Sort 2, y, x.\nAnswer: y, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**4 - 2*r**3 - 10*r**2 + 2. Let b(y) = 7*y**4 - 7*y**3 - 41*y**2 + 9. Let p(t) = 2*b(t) - 9*h(t). Determine i so that p(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2, -166.17, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (3 + 24 - -6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285197 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -936.1 + 936. What is the nearest to f in -1\/6, 0.2, -3, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 - (-5 + 2). Suppose -3 = -i + h*i, -3*i = -z + 27. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - (4 + -2 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -37*p + 240. Let g = -40 + 67. Let r = 47 - g. Calculate the lowest common multiple of r and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*d + 10, 2*a + 3*a + 20 = 5*d. Calculate the smallest common multiple of d and 148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3683 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91114.00000058817 - 91114. What is v rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 5*l**2 + 0*l**2. Let r(b) = 5*b**2 - 4. Let z be 2*3\/(-6) - -46. Let w(m) = -55*m**2 + 45. Let q(c) = z*r(c) + 4*w(c). What is u(q(t))?\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -110001?\nAnswer: 1\/110001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 13*k**2 + 301. What is the remainder when 7195 is divided by y(-11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2651\/2*(3 - 1). Suppose -z + i + 8838 = -g, -4*i - 11504 = -z. Is (2\/(-6))\/((-12)\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*t = -28369, 0 = 4*g + 54*t - 56*t - 113476. List the prime factors of g.\nAnswer: 11, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 157?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 - -112. Solve 0 = 8*r + z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/6*(56\/(-12) - 0). Suppose 2*w + i - 23 = -4*n, -4*w - n = -25. Calculate the lowest common multiple of w and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.98, 2\/13, -5\/1544?\nAnswer: -2.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -89\/6?\nAnswer: -89\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - -4.9. Let n = -2.4 - -1.9. Let f = n + w. What is the nearest to 1 in f, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*6*(1 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 1 + 3*q - 2*q + (0 + 3 - 1)*(-11*q - q - 2*q) as k*q + z and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 466 = -6*h. Calculate the greatest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 4.85, -0.7, 2\/7, -3\/8, -2 in increasing order.\nAnswer: -2, -0.7, -3\/8, 1\/4, 2\/7, 4.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3, 16, 5 in ascending order.\nAnswer: -3, -0.3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4.5 (c) -0.4 (d) -4 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102103200101 + 10?\nAnswer: -1102103200031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-21)*p)\/(p**(4\/3)*p)*(p*p*p**(-1\/7))\/(p*p*p**(-23)) assuming p is positive.\nAnswer: p**(935\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38\/3*o**3 + 16*o**2 - 16\/3 + 2\/3*o + 4\/3*o**4 = 0. What is o?\nAnswer: -1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -322b?\nAnswer: 3228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 31 = 7*m - 3*m, -3*m + 21 = -2*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 30 = 0, -v - 8243*o + 16490*o - 20 = 8244*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 381*g**2\/2 - 16599*g\/2 + 16219\/2.\nAnswer: -(g - 331)*(g - 49)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19891 greater than or equal to 278493\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 * 2.2233\nAnswer: 0.0355728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -224311413 (base 5) to base 15\nAnswer: -14e4dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.264056 decades in years?\nAnswer: 72.64056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 912528647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3273097 and 31371.\nAnswer: 31372.3273097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -470*f + 236*f + 1 - 9*f**2 + 235*f. What is u(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -389476 or -389687?\nAnswer: -389687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 69*z + 83 + 7 + 5.\nAnswer: 68*z + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 179415530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -411?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 7 - 3*a - 3*a + 8*a. Suppose z - 13*z = 60. Give y(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316123.8ml to litres.\nAnswer: 316.1238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 68*s = 29*s + 21616. Calculate the remainder when s is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188986\/3*(5\/3 + 1\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95.3 + 3.5. Let a = x + 676.2. Let d = a - 774.99999198. What is d rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*w - 6*w - 4 = 0, -15 = -5*r - w. Suppose -2*l - 22 = -2*b, -b = -6*b + r*l + 54. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 3 (c) -11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*q + 396*q - 15 = 0. Let t(x) = -5*x**2 + 5*x + 5. Let i(r) = 3*r**2 - 2*r - 2. Determine q*i(l) + 2*t(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*k - 240 = 209*k. Let b be -38*((-14)\/392)\/(4\/k). Determine t, given that -24\/7*t + 6*t**5 + 0 + 124\/7*t**4 - 104\/7*t**2 - b*t**3 = 0.\nAnswer: -3, -2\/3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1695334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 31602?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/6 + t**2\/2 - 4*t. Calculate l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/66 + 59*g**4\/66 + 16*g**3\/11 + 46*g**2. Factor d(p).\nAnswer: -2*(p - 24)*(5*p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 74 = -11*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/3847168315?\nAnswer: -2\/3847168315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnkkbn. What is prob of picking 1 h, 1 b, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2852)\/(-44) + 6\/33. Let r = o + -45. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 32. Let q = 385\/3 + -127. Which is the nearest to 3? (a) -0.2 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -8)*(-35)\/(-14). Suppose j*k - 33 = 117. Solve -k*q + 0*y + y + 16 = 0, 2*y = 4*q - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Let j be (-1)\/(-3)*r*3. Suppose 58 = j*i - 298. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + ((sqrt(2176)*-1 - sqrt(2176))\/(1*sqrt(200) + sqrt(2)))**2)*2.\nAnswer: 7131\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -618221 (b) 0 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7224 a factor of 815329536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -15, -4 in increasing order.\nAnswer: -15, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 16. Determine w(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let v(l) be the second derivative of 0*l**2 + 5\/12*l**4 + 0 + 18*l + 0*l**3. Calculate v(w(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 + 2.7. Let l = 0.8 - t. Put -2\/7, l, -3 in descending order.\nAnswer: -2\/7, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -506 - -176. Let z = i + 3002\/9. Suppose -4\/9*b**2 - 64\/9 - z*b = 0. Calculate b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 36 + 36 = 44*r. Solve r = 2*l - 5*o - 10, 0 = l - 2*o - 31 + 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/78*3)\/(580\/3770)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -37?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2 - 2 + (-5 + 1 + 2)*(2*y - 4*y + 4*y) + 5*y + 3*y - 6*y - y - 1 + 1)*(4*y**2 + y**2 + 0*y**2).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 661*m**5\/5 - 918*m - 267. What is the derivative of a(d) wrt d?\nAnswer: 2644*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + -2.9. Let u = -327.5 + 321. Let g = k - u. Which is the fourth biggest value? (a) 0.1 (b) g (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 787338 and 341.\nAnswer: 8660718","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2030)\/(-40))\/29 + (-73492)\/41648.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-8)\/(-3) + -2). Suppose -5*t + k*j = -50, 0*t = -5*t + j + 35. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -919.21.\nAnswer: -923.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8077 by -40.\nAnswer: -8077\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -5*z**2\/2 - z - 2. Let k be g(-1). Let y = k + 3. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121353 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*n**3 + 22*n**3 - 2*n**2 + 8*n**3 - 1 to t*n**3 + w*n + m + o*n**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let i(w) = -w**3 + 7*w**2 - 8*w + 5. Calculate the remainder when (1782\/(-8))\/(-3) - (-1)\/(-4) is divided by i(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -54. Let c = 44 - r. Let q be (-130)\/(-4)*(2 - 0). What is the greatest common divisor of q and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6.8. What is the nearest to -3 in -0.4, o, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99629.32ng in tonnes?\nAnswer: 0.00000000009962932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/22, 1.37, 1, 5 in decreasing order.\nAnswer: 5, 1.37, 1, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89643849493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -14865.\nAnswer: 1\/14865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/5 - (-24)\/10. Suppose -4*q + u*q + p = -6970006, 0 = -2*q - 5*p + 13939984. Let w be q\/17 - (-8)\/(-68). Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3786 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38214617.\nAnswer: 7, 541, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28704 + 28709 - 26*k**3 - 4*k**3 - 57413.\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.87 - 10.43. Let p = 11.6 + i. What is the biggest value in p, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3221143 + -2?\nAnswer: -3221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189767 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36762457*k**3 - 6253163*k**2 wrt k?\nAnswer: -220574742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 4*z + 1. Let r(a) = -a + 6. Let o be 4 + (2 - (2 + -2)). Let p be r(o). Suppose p = -3*h - 2*h + 15. Calculate w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((1 + sqrt(3))*3)**2 - sqrt(3)) + -1 + -4 + sqrt(27).\nAnswer: 27 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 12dd?\nAnswer: 12e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + t + 30 = 0, -2*t - 5 - 25 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(3860058 + 30*h**2 + 279*h**5 - 3860058).\nAnswer: -558*h**5 - 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 26. Let h be 2\/a + (-160)\/25. Let u(i) = -13*i**2 + 11*i. Let o(j) = -7*j**2 + 6*j. Give h*u(w) + 11*o(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4297 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2\/5 - 672*f\/5 - 673\/5 = 0.\nAnswer: -1, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 91 in decreasing order.\nAnswer: 91, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215653 (base 7) in base 12?\nAnswer: -7613b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**12*b)))\/b)**10 assuming b is positive.\nAnswer: b**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1734\/(-153))\/((-44)\/(-396))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23570\/414001 - 20\/5831. Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 710 divide 61579261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g**3 - 5650*g**2 - 130*g. Let j(s) = 4*s**3 - 1413*s**2 - 30*s. Let a(c) = -26*j(c) + 6*t(c). Suppose a(v) = 0. Calculate v.\nAnswer: 0, 1419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82799242 and 658?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 4*c - 20. Calculate d(-8).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57, -176, -367, -630, -965, -1372?\n\"Answer: -36*u**2 - 11*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152 and 83200?\nAnswer: 748800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120211100 (base 3) to base 14.\nAnswer: -24c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:19 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + 0.1. Let n = k + 1.4085. Let c = n + -0.01. What is c rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 18 - (7 - -15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/7 + 48*y**3\/7 - 124*y**2\/7 + 114*y\/7 - 36\/7 = 0 for y.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 3. Let s(q) = 2*q + 7. Let j(b) = 3*s(b) + 7*w(b). Let y(c) = 38*c. Calculate y(j(f)).\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 11*z + 22. Let r be l(-11). Suppose 0 = -y + 10 + 1. Calculate the highest common factor of r and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27310.\nAnswer: 2, 5, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1439, 0, 1, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15289741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 1948 = 3*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = -2534 + 2570. Let v(d) = -2. Let s(i) = i + 2. Give r*v(c) + 2*s(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3 + 105075*f**2 + 420288*f + 420284 = 0.\nAnswer: -105071, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 162 = 13*x. Suppose 4*z + 4*s - 364 = -120, 5*z - 3*s - 281 = 0. Suppose -4*k + 3*h = -x, -2*k - 4*h + z = -2*h. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 10 = 3*m, 2*k + 923 = 3*m + 909 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 12 = -g, 3*g - 226*n + 34 = -221*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 46*h - 30. Let x be r(-45). Let v = 24 + -27. Let d = 8 + -5. Sort d, v, x in descending order.\nAnswer: x, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/(16\/(-6))*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from qszqsqzzzqzzzsqzqszs.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b - 64 = -66*b - 3*m, 0 = 3*b + m - 40. Solve 9 = -b*p + 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 + 6. Let t = -3.539 - -0.539. Sort t, -1.2, m, 2.\nAnswer: t, -1.2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 37 = -1. Suppose 51 = v + u. Let z(h) = h**3 + 3*h**2 - 7*h. Calculate the remainder when v is divided by z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (12 + 7 + -25 + 23)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 - 2)*(-x + 2*x + 0*x) + (-3 + 4 - 4)*(-3*x + 4*x - 2*x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m\/m**(-5\/9)*m\/(m\/(m*m**(-16))*m)*m**12*(m*m**(-3\/4))\/m assuming m is positive.\nAnswer: m**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 + 103. Let f be 1\/v + (-10676)\/51. What are the prime factors of 4\/22 + (-11039)\/f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**2 + 391*a + 3598. What is h(-11)?\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22568*x**2 - 82827*x**2 - 31385*x**2 + 9819*x**2.\nAnswer: -126961*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(-2 + sqrt(7) + 0))**2 - (sqrt(560)\/(-1*sqrt(10) - sqrt(10)))\/(sqrt(512)*-1).\nAnswer: -1025*sqrt(7)\/16 + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 31 - 0. Let x = 39 - o. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/16 and -51\/4836418.\nAnswer: 38691344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s\/s**(1\/7))*s)\/(s\/(s**(4\/5)\/s))*s**(-3\/4)\/s**1)\/(s**(1\/11)\/s**(-5))**31 assuming s is positive.\nAnswer: s**(-245823\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12850)\/(-514) - (2761\/10)\/11?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 994 = -3160. Let q = 53 + u. Which is bigger: -17\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 66 - 64 = 0. Let s be (-3 + -7)\/((3 - 4) + n). Which is the nearest to 1\/4? (a) -3 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 850297 from 48936109.\nAnswer: 48085812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2. Let d = 5 + -2. Let o(x) = -4*x - 9. Let p be o(-3). Let z(v) = 0 + p + v**2 - d. Give z(q(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2 + 54*c - 53 = 0?\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13\/3, -0.09, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400350 - -400455.00094. Let f = n + -105. Round f to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091397000 rounded to the nearest one million?\nAnswer: 2091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2)*1 + 0. Suppose -2*k + 2 + 2 = z. What is the second derivative of -5*f + k*f - 3*f**4 + 5*f**4 wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*y**4 + 234*y**4 + 73*y**4)*(3 + 2 - 4)*(-6 + 2 + 2)*(0*y - 2*y - y) + (2*y + 2*y - 2*y)*(-2*y**3 + 2*y**3 + 2*y**4).\nAnswer: 1018*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*c - 99 = 0, 6*c = 2*c + 16. Suppose 4*l - t - 7 = 0. Let m = l + -33. Is -24 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 - 2.1. Let k = 3.7 + w. Is k at least 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*sqrt(500) - sqrt(20))\/(4*sqrt(64)) - ((sqrt(440)\/(2*sqrt(11)))\/sqrt(8) + -5)).\nAnswer: -15 - 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2434 + 2?\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*((-1 - (-26)\/7) + (-120)\/40). Let z be (-2)\/(-4)*(8 + -4). Let c = -1 + 1. Solve 3*n - v + 14 = c, -3*n - z*v = -r*n - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -16\/3, 1\/4, 2, 12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 - 106. Which is the nearest to -1\/2? (a) -2\/11 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 97*a. Let g(b) = -8*b. Determine d(g(u)).\nAnswer: -776*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802 = -3*y + 790 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 - 5. Let m(s) = s**2 - 1. Let y(n) = i(n) - 5*m(n). Let c(d) = 5*d + 37. What is y(c(j))?\nAnswer: -25*j**2 - 370*j - 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10609404 - -324.0045.\nAnswer: 10609728.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/6)*j*j)\/j)**(-30)\/(j**19*j**(1\/4)) assuming j is positive.\nAnswer: j**(-177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 176, 263, 350, 437, 524?\n\"Answer: 87*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 10*i + 1. Suppose -d - 4*d + 25 = 0. Let g be t(d). Suppose -l + 15 = -g. What is the highest common divisor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9062282, -9062281, -9062280, -9062279, -9062278?\nAnswer: -9062277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/9)\/((-2)\/6). Let y = 38\/27 + 749\/216. Let u = -241\/56 + y. Sort u, g, -8 in increasing order.\nAnswer: -8, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*w + 188*w + 8*w**3 + 183*w + 15*w**2.\nAnswer: 8*w**3 + 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 1 = -5*d, -3*q - 5 = -6*d - 0*d + 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.08981578 rounded to 3 decimal places?\nAnswer: -9.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1672320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -18*p + 5 + 3*p + 13*p. Calculate b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4002587 and 2.45522?\nAnswer: 4002589.45522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2597986 divided by 62.\nAnswer: 41903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -71. Let g(j) = 8*j**2 - 5. Let l(d) = -49*d**2 + 29. Let f(h) = 148*h**2 - 88. Let p(c) = -3*f(c) - 8*l(c). Determine t*p(k) - 32*g(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -335696\nAnswer: -51\/335696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*s**3*w + c**2*s**3 - 648*c**2*s**2 - 2*c*s*w - 2*s**3*w + 1944*s**2*w - 2*s + 2 wrt c.\nAnswer: 2*s**3*w + 2*s**3 - 1296*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:40 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*a = -2*f + 326, 2*f + a = -326. Let v be ((-502)\/7)\/(42\/(-147)). Let p = f + v. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -8, -3, -1, 78086 in decreasing order.\nAnswer: 78086, 4, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02380686 rounded to 5 decimal places?\nAnswer: -0.02381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -552233 + 58?\nAnswer: -552164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 (base 6) in base 9?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.449 - 1.64375. What is y rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w - w + 4*t, 0 = -4*t + 8. Suppose 0 = w*x + x + 39. Let g(c) = c**2 + 11*c - 2. What is the units digit of g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 25*i**2\/2 + 14*i + 131. Let z(s) = -11*s - 7. Let n(u) = -2*v(u) - 5*z(u). Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 = t, t + 5*z = z + 13. Suppose -r - t = 4*g, 9*g + 23 = r + 4*g. Let o(b) = -b**2 + 2*b + 4. Give o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 14, o: 5}. Give prob of picking 1 j and 3 l.\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 4*j - 5. Let d be n(-5). Let l = 4.962 + -1.962. Which is the nearest to d? (a) 1\/6 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427408367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -15.8. Let v = -35 - h. What is v rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 7*h + 3. Let s(a) = -6*a**2 - 36*a - 15. Let t(p) = -2*s(p) - 11*u(p). Let n(b) = b**2 - 6*b - 3. Give 5*n(j) - 6*t(j).\nAnswer: -j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - 4*g**2 - 18*g - 13. Let t(o) = -3*o**3 - 5*o**2 - 21*o - 14. What is 7*m(u) - 6*t(u)?\nAnswer: -3*u**3 + 2*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3460\/16 + (-9)\/(-12). Suppose -7*j + g = 35. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*j, n - 3*j = -n - 2761. Let d = -5553\/4 - n. Let y = 154367\/6258 - 1\/2086. Calculate the common denominator of d and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z**3 + 7*z**3 + 2393*z**2 - 3*z**3 - 2393*z**2 + 460 to r + d*z**2 + y*z**3 + s*z and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 52, 133, 248, 397, 580?\n\"Answer: 17*a**2 - 4*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -27, 42, 181, 414, 765, 1258?\nAnswer: 1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -28. Suppose 0 = 2*x - 3*o + h, 2*o - 28 = 5*x + 49. Let i = 11869\/1582 + -2\/791. What is the common denominator of i and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1873560882 and 0.5.\nAnswer: 1873560882.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 20*r**2\/9 + 14*r\/9 - 16\/9 = 0. What is r?\nAnswer: -8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3340))\/(-4*(12 + 0 - 13)). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*((s*s**(1\/4))\/s)\/s*s))**(2\/9)\/((s*((s\/(s\/s**(-2\/9))*s)\/s)\/s)\/s)**(36\/5)*s**(1\/3)\/s**(-6)*(s**(-2\/5))**8 assuming s is positive.\nAnswer: s**(1069\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -114*s**3 - 19*s**2\/2 - 19*s - 5384. Let w(h) = 57*h**2 + 3*h + 3. Determine -3*b(v) - 19*w(v).\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 11*o**2 + 9*o - 7. Let y be g(-10). Solve -4*j + 1 = -y*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(3\/17)*j)\/j**(-1\/4)*(j*j**(-3\/5))\/j*((j\/j**(-4\/5))\/j)\/j assuming j is positive.\nAnswer: j**(553\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3dfbd (base 16) to base 9\nAnswer: -426234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 297*a - 5038. Calculate b(13).\nAnswer: -1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 99518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2 - -4)*5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -1.6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9467.552 and -18?\nAnswer: 170415.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11078674 and 2988.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -12*g + 10. Suppose -c - c = -8. Let q(h) = -h**3 + 4*h**2 + h + 1. Let r be q(c). Solve 3*a - r = -g*i - 0, -a - 3*i = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*i + 0*i + 8 = 0, 4*q = -2*i + 16. Let p be 6\/(-3) + (q - -760). Suppose p = 5*v + 5*j, 4*v + 5*j = 536 + 75. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 4*l - 2. Let m be n(-6). Let v = 11 - m. Solve v = -3*b + 7, 0 = 4*s + 5*b - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, 1.8, 3\/5.\nAnswer: -2, -1, 3\/5, 1.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1)*p)\/p)**(-2)\/((p*p**(2\/7))\/(p*p\/(p\/p**(-3)))) assuming p is positive.\nAnswer: p**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-1)\/(-2))*1574. Suppose 2*x + a = 5005. Let z = 6509 - x. Round z to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42257, 42263, 42269, 42275, 42281?\n\"Answer: 6*d + 42251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 46 = -6. Suppose r*a - 13*a = -24. Solve 2*h = 6*h - a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*d - 12*d - 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5370221 - 0.537. Round d to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22327 - 8113. Suppose t - 1974 = 18*q. Is q a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-62)\/((-5456)\/66).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31913, 31908, 31907, 31916, 31941, 31988, 32063?\nAnswer: 32172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 39. Suppose z*x - 4*x - 15 = 0. Suppose -11*j + 18 = -8*j. Solve x = -c + j*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10248, -20632, -31028, -41448, -51904, -62408, -72972?\nAnswer: -83608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -574 - -609. Let v be 1\/(287\/i + -8). Sort -5, v, 42, -2 in descending order.\nAnswer: 42, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2. Let s(z) = -8*z**3 - 11*z**2 - 7*z. Let h(b) = -2*s(b) + 22*v(b). Find the second derivative of h(t) wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 5, s: 12}. What is prob of picking 2 e and 2 s?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, c: 5}. Give prob of picking 1 d and 3 c.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkb when four letters picked without replacement from bbbbbkbkbbk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6678\/(-583))\/((-6)\/33). Solve -16*v - 17 = y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 6:06 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, -8, -2 in descending order.\nAnswer: 23, 5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60260 (base 8) in base 3?\nAnswer: 1020221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.806 rounded to two decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 111*i - 1425. Let q be n(13). Suppose -4*l + 24 = -6*l. What is the units digit of (-85)\/(-3) - l\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 14*l**2 + 7*l. List the prime factors of t(10).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, -686, -1 in increasing order.\nAnswer: -686, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -20. Let x be (-5)\/((-30)\/q)*-6. Solve -3*c + 19 = 5*i, -3 = -c - x*i + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 + 315. Let u = -11 - -16. Let h be (-44)\/(-3) - ((-10)\/6)\/u. Calculate the highest common divisor of x and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32 - 46*h**3 - 72 + h**2 - 5*h**3 wrt h?\nAnswer: -153*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**8\/168 - 27*v**7\/14 + 361*v**5\/60 + v**4\/24 + 135*v**2. What is the third derivative of p(x) wrt x?\nAnswer: 120*x**2 - 9720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -10) + ((-30)\/(-10) - 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31344, 125367, 282072, 501459?\n\"Answer: 31341*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4, 3*p + 10 = j - p. Let u be 8\/3 - 2\/(-6). Solve -5*m = -4*c - 2, -5*c = -j*m + 14 - u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + s + 0)*(2 + 0 - 1) - s + 3*s + s - 25 - 25*s - 22 + 44 + s + 0 + 0 to p + h*s and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p - 3 + 3 - 37*p + 3*p - 2*p - 5*p - p + p - p + (1 - 3 + 1)*(2*p + 0*p - p) to m*p + s and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17063 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 - 3534*c**2 - 962580*c + 46884600 = 0.\nAnswer: -610, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u = a - 8, -5 = -2*u - a. Suppose 0*p - 4*p + 18 = 3*v, 4*v + 4 = 4*p. Suppose -t - 18 = -v*s, 24 = u*s + 3*t - 6*t. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/8 - (-1)\/4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 0*g**2 + 0*g**3 + 1 - 2\/5*g**5 + 0*g + 1\/4*g**4 + 1\/6*g**6. Let f(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 122*u + 2928. Let y be m(-24). Solve -136*a + 145*a - 18 = y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {s: 2, k: 1, f: 1, m: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:10 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 68. Suppose -8 = 2*h, 67 - 7 = 5*y - 5*h. Sort 1, t, y, -3 in decreasing order.\nAnswer: y, 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2739\/96 - -5 - 1. Let x = -31\/32 - l. Find the common denominator of -31\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, q: 7, z: 2}. Give prob of picking 3 e.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2742 + -2725.198. Let b = 0.198 + f. What is the smallest value in b, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:18 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1579666 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -370 + 169. Round t to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155698537?\nAnswer: 3, 718566179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 0.5. Let b be 2\/12 - 4\/312. What is the second smallest value in i, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = 3*q, 3*q - 2*q = -4*f - 16. Solve 0 = d - q*o + 4, -d = -o - o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 74. Which is the closest to -2\/7? (a) 4 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*i + 59*i + 60*i as t + w*i and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -8 - (-1 + 0 - 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**2 + 15*f**2 + 10*f**2)*(5*f + 5*f + 0*f) + 252*f - 252*f - 27*f**3.\nAnswer: 133*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92 + 13)\/((-2)\/10). Suppose 0*u - t = -5*u. What are the prime factors of u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -187, -361, -533, -703, -871, -1037?\n\"Answer: o**2 - 177*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w**(-3\/4)*w)\/w)\/(w**(-7)*w*w))\/(((w**(-1\/5)*w)\/w)\/w*w*(w\/(w**0\/w))\/w))**41 assuming w is positive.\nAnswer: w**(3649\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -22 (b) -1 (c) -0.2 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 52866.9 + 49.94\nAnswer: 52916.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2825*a - 3990. What is the ten thousands digit of c(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 5*u**3\/6 - 9*u**2\/2 - u. Differentiate h(v) with respect to v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 235344.75398 and 0.079?\nAnswer: 235344.67498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d - 3. Let l be k(-3). Suppose l = -4*w - 0*c - c + 327, 156 = 2*w - 2*c. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzzwdkddkkwllkkdkdz. What is prob of sequence zzdk?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 632091?\nAnswer: 1896273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let o(t) = -7*t - 2. Let k be -1 - 3\/(3\/(-2)). Let p = k + 9. Let f = -15 + p. Calculate f*a(l) - o(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199571 is divided by 39888.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*p - 1576567 = -394959. What are the prime factors of p?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h + 30*h + 378 = -842 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3941, -8059, -12179, -16301, -20425, -24551, -28679?\n\"Answer: -c**2 - 4115*c + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0082 + 2591517.676059\nAnswer: 2591517.684259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2 - 13*c**2 - 5*c**2 - 41*c wrt c?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 13 = 5*t + 2, 3 = 3*t + 3*r. Let f(m) be the second derivative of -m**5\/20 + m**4\/4 + m**3\/6 - m**2 - 3*m. Let b be f(3). Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 146209*c**2 - 6435177*c + 6581385.\nAnswer: (c - 146253)*(c - 1)*(c + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 4) in base 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19120773 divided by 6373591?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1248, 1604, 1960, 2316, 2672?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1097, -0.5, -2\/5, 0.03?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 29*d**2 + 11*d - 13*d**2 - 17*d**2 + 20. Let m be f(11). Suppose m = -r + 24. Solve r*z = 3*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 149790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 2\/655, 13.1, -0.1 in increasing order.\nAnswer: -0.1, 2\/655, 1.2, 13.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3398, 3401, 3396, 3377, 3338, 3273?\n\"Answer: -i**3 + 2*i**2 + 4*i + 3393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274182555 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -34580000 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**2*l - 94408*h**2 + 1078341*h*l + 6*l wrt h.\nAnswer: 14*l - 188816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 2583, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.4. Which is the second biggest value? (a) 2 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + z - 1. Let r(c) = -85*c**2 - 34*c + 34. Give -34*b(n) - r(n).\nAnswer: 51*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 - 506. Let x = -191 - g. Let o(b) = -6*b**3 - 3*b**2 - 3*b + 1. Let v(f) = f**3 + f**2 + f - 1. What is x*v(u) - o(u)?\nAnswer: 3*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:18 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181514*d**4 + 1602525*d**2?\nAnswer: -4356336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106885253 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -137 - -187248\nAnswer: 187111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5471*q + 10*q**2 - q**2 - 16421*q + 5464*q + 5486*q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120938\/3 - -40318. Factor -8\/3*n**4 + j*n + 4\/3*n**5 - 4*n**3 + 0 + 16\/3*n**2.\nAnswer: 4*n*(n - 2)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 43 + -51 + 39 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa277 (base 15) in base 13?\nAnswer: -15c079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, 1, -13, 22.\nAnswer: -13, 1\/3, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77112681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x**2 + 245*x - 245*x + (0*x + x + 0*x)*(0*x + 0*x - 8*x) to the form r + h*x**2 + p*x and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h**3 + 60*h**2 + 86*h**3 - 48*h**3 - 60*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7565761 by 3.\nAnswer: -7565761\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 5. Let s be (-9)\/(-3) + 4\/4. Let o(t) = -2*t**2 - 4. Let l(p) = s*n(p) + 5*o(p). Let i(a) = a**2 - a**2 - 2*a**2. Calculate l(i(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131.\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**7\/8820 + i**5\/420 + i**4\/12 - 10*i. Let g(r) be the third derivative of p(r). Solve g(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2512, -4865, -7222, -9589, -11972, -14377, -16810?\nAnswer: -19277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1333*t + 362*t + 5757*t)*(2*t + 3 - 3)*(-2 + 1 + 3)*(-2 + 2 + 1) to k + u*t + h*t**2 and give h.\nAnswer: 29808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1713, -3433, -5153, -6873, -8593, -10313?\nAnswer: -12033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 847*445\nAnswer: 376915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 38032.54ng?\nAnswer: 38.03254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7444580569.\nAnswer: 7444580569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 - 12)*(1 - 3). Suppose -t*j - 114 = -5*g, 4*g + j + 3*j - 120 = 0. Let c = g - 20. Solve 0 = 4*h + p - 3*p - c, p - 4 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**5 - 276*h**4 - 543*h**3 - 270*h**2 = 0.\nAnswer: -90, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 30 = 0. Let j(c) = 4*c - 61. Suppose 24*w = 292 + 92. Let t be j(w). Solve -5*f - a = -t*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -419\/364 + 45\/52. Put 1\/4, -4, 10, h in decreasing order.\nAnswer: 10, 1\/4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 30. Which is the second biggest value? (a) o (b) 2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p + 2*p)*(-1 - 1 + 4 + 4 + 0 - 2 + 2 - 1 + 0 + (0 + 0 - 2)*(-1 - 3 + 5) + 5 - 3 - 1 - 1 - 2 + 1)*(-17*p - 19 + 19).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 301034?\nAnswer: 301030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9782 + -9811. Let i = 0.3 - 0.2. Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(1*sqrt(330) + sqrt(330)) - sqrt(330))\/sqrt(10))\/((1*sqrt(96))\/sqrt(2)))**2.\nAnswer: 891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (375\/39)\/(30\/(-455) - 356\/(-2492))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5232764 to the power of 1\/2, to the nearest integer?\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 l when four letters picked without replacement from klilklkkkllkk.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 541*x - 2108. What is the ten thousands digit of i(49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 1544 - 1523 = -3*f, -75 = -3*f + 5*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - -0.41. Let l = 0.4899991 - y. Round l to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((-1*sqrt(72) - sqrt(72))\/sqrt(6)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 301, -2, -8, -123, 2 in ascending order.\nAnswer: -123, -8, -2, 2, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0 + 1\/90*z**5 - 2\/3*z**3 + 0*z + z**2 - 1\/36*z**4. Determine h so that i(h) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296912111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (128\/(-62) - -2)*2. Let t = j + 1\/248. Put -2, t, 0.3 in decreasing order.\nAnswer: 0.3, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/5*(3 - 340\/119)\/(4\/210)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10253406, -10253398, -10253386, -10253370, -10253350?\nAnswer: -10253326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2656 and -95\/1104896?\nAnswer: 1104896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 24*n + 272. Let x(p) = 15*p + 183. Let s(y) = 5*i(y) - 7*x(y). Give s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -767977.\nAnswer: -82\/767977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-414)\/(-2898))\/((-6)\/(-1764))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -565137 bigger than -565141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/(-8)*12*-6 and 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4154 is divided by 605.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/10)\/(248\/744).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29886, -59767, -89648, -119529?\nAnswer: -149410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(0 + sqrt(425)))**2.\nAnswer: 160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in 1.3, 5, -2\/11, 44?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*u**2*x**3 + 43*u**2*x**2 - 151*u**2 - u*x**3 - 5*u*x + 3*u - 6*x**3 - 634 wrt u?\nAnswer: -284*x**3 + 86*x**2 - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Suppose -3*y + 270 = -z*y. Let q be (-7)\/((-7)\/y) - 0. What is q rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 1. Let m(y) = -8*y**3 - y - 28. Let c(g) = b(g) - m(g). Find the first derivative of c(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-29588)\/65)\/(8\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.116 + 0.074. Let z = 0.042 + t. Let v be (3\/((-33)\/2))\/(-2). What is the nearest to z in -1\/2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*((-294)\/(-28) + -10). Suppose -30 = -3*y + 5*u + 47, 0 = y - u - 27. Sort l, y, -1.\nAnswer: l, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**17*(o*o*o\/o**(-24)*o*o*o)\/o)\/(o**(1\/2)*(o\/(o*o\/(o*o*o**(23\/5))*o))\/o*o))**(-15\/4) assuming o is positive.\nAnswer: o**(-1227\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -2. Let v(x) = x**3 + 4*x**2 + x - 3. What is the units digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 5, -10, 10, -9, 23 in decreasing order.\nAnswer: 23, 10, 5, -3, -9, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/8 - (-4)\/(-16). Suppose -r*l - 2*s = -55 - 275, 2*l - s = 123. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (-3*(sqrt(88)*-3 + sqrt(88) - sqrt(88) - sqrt(88) - sqrt(88)) - sqrt(88)))\/(-4*sqrt(72))*-4.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 4. Let n = -3 + 3. Let z be c(n). What is the third derivative of 3*u**4 - 2*u**2 + u**6 - 3*u**z wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5753533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20274043875974 take away -0.1?\nAnswer: -20274043875973.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, v: 1, u: 1, r: 2, l: 2}. What is prob of picking 1 u and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 160\/3143251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6010222 and -83\/1959855?\nAnswer: 90153330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose -d - 2 = -2*x, 3*d = -i*x - 2 + 5. Let g(w) = -w**2 + w + 4. List the prime factors of g(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j + 6. Let q(t) = -19*t - 11. Let g(y) = 11*l(y) + 6*q(y). What is g(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 347, 493, 619, 719, 787?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 m when four letters picked without replacement from {b: 3, c: 2, m: 9, o: 2}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*m - 3, -5*m - 17*l + 25 + 20 - 41 = -3*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, -19\/5, 1\/37, 47 in descending order.\nAnswer: 47, 1\/37, -1.5, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334 is divided by -1*(3 - -5) - 902\/(-82).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 598 by -6764.\nAnswer: -299\/3382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, l: 2}. What is prob of picking 2 p?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:26 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6 + 3275\/(-2))*12)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + -916.8518888.\nAnswer: -908.8518888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6624 and 12834.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h**2 - h + 50. Let w(j) = 3*j**2 + j. Give v(n) + 3*w(n).\nAnswer: -2*n**2 + 2*n + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 16*x**2 + 18*x - 3. Let y be m(-14). Suppose -5*f = y + 38. Suppose 10 = -5*v - 10. Sort v, f, 1.\nAnswer: f, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/8)\/k*k*k**(-3))\/(k**(1\/3)*k**(-5\/3)))**(1\/2))**(-39) assuming k is positive.\nAnswer: k**(481\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.3. Let l = 4.765 + -0.165. Let s = l + -3.9. Are i and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -10 + (-8 - 0)*-1. Solve 0 = d*m - 6*o + 3*o + 6, o + 8 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 25*q**3 - 16 - 30.\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 33*m = 14. Suppose 0 = -5*p + 5*a + 15, -12 = 2*p - m*p + 2*a. Solve 2*i + 0 - 2\/3*i**p = 0 for i.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l**0)**(-46)\/((l**5\/l**(2\/3))\/(l**(2\/5))**(8\/7)) assuming l is positive.\nAnswer: l**(-19727\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567, 1115, 1661, 2205, 2747?\nAnswer: 3287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3198861\/2644238 + -3\/42649. What is the common denominator of y and -75\/14?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k**4\/5 + 108*k**3\/5 + 236*k**2\/5 + 36*k + 44\/5 = 0.\nAnswer: -11, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = -617 - 947. Let h(o) = o**3 + 15*o**2 + 4*o - 6. Let p be h(-15). Which is bigger: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*w - 982, -6 = 3*w - 0*w. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (35\/(-21) + 1)*(4 - 5). Let q = 5 + -10. Let u = 4.6 + q. What is the closest to u in z, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289149721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/47 (c) -0.2 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 173*f**3 - f**2 - 15*f + 76. What is the hundreds digit of c(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**3 + 6*r**2 + 4*r + 7. Let k be u(3). Calculate the highest common divisor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:03 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 49*i + 11872 = -2*z, 2*z - 5948 = -i. Calculate the highest common divisor of 108 and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -419*a**3 - 17*a. Let l(z) = 70*z**3 + 3*z. Determine 6*c(q) + 34*l(q).\nAnswer: -134*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/25)\/((-39)\/(-55908255)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2052073 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 6 - 4 - g + (1 + 2 - 4)*(0*g - 4*g + 2*g) + 3 + 2*g - 3 + 6*g + 3*g - 3*g.\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934 a factor of 13280741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -215\/3, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.3 (b) 1\/7 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 41*j**3 + 232*j**2 + 244*j + 14. Calculate a(-4).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/3, -14477, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 48, 61, 78, 99?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 35*z - 1. Let x be r(3). Let j be (-4 - 105\/(-10))*4. Suppose -3*d - j = -5*d. What is the greatest common factor of x and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 10. Calculate q(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1177 + 1177.18256. Round z to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 2. Let z be (4 - 1) + 1 + -4. Let t be r(z). Suppose 4*n - 112 = 4*w, -3*n + 4*n - 25 = t*w. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166037917 - 166037917 - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -4*u**4\/3 + 1003*u**2 + 1. Let f(t) = 2*t**2 - 2. What is f(x(s))?\nAnswer: 2048*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319993993?\nAnswer: 2269, 1463197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -434756?\nAnswer: -19\/434756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 5*u = 34, 5*u + 153969 = -c + 153995 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -9*i**6\/10 + i**5\/30 + 5*i**3\/6 - 16*i**2. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20913564 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4\/13 (b) -2\/17 (c) 1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 218094.2 millennia?\nAnswer: 21809420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351648 by -396.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -218328, -216766, -214162, -210516, -205828?\n\"Answer: 521*k**2 - k - 218848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 + 177. What is the greatest common divisor of 88 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.07 - -5. What is the biggest value in -4, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 138*z**2 - 6894*z + 1565. Determine k(-177).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 59. Find v, given that -4\/9*v + 0*v**2 - 2\/9 + 4\/9*v**d + 2\/9*v**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 - 142. What is the highest common divisor of r and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1325951 divided by -6\nAnswer: 1325951\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -138?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -170.72?\nAnswer: 168.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2 + 40*z + 227. Let i(p) = -2*p**2 + 14*p + 81. Determine -11*i(h) + 4*r(h).\nAnswer: -2*h**2 + 6*h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 7. Let v = -9.999924 + l. What is v rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.4757243 to 2 dps.\nAnswer: 27.48","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h - 5. Let k be u(4). Let l = k + -43. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (541 - 541 - 77*k)*(2 - 5 + 1 + 0) to the form f + w*k and give w.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3790009 is divided by 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4\/3 (b) -15\/7 (c) 2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 394*k**2 - 180*k + 20. Let r(z) = -79*z**2 + 36*z - 4. Let v(b) = -6*q(b) - 33*r(b). Factor v(l).\nAnswer: 3*(9*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2877 + -1741. Suppose 1398 = 14*i - c. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*f**3 + 319697*f - 14827827 wrt f?\nAnswer: -60*f**2 + 319697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4888227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037814 to 5 decimal places.\nAnswer: -0.00378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 19 = 3*c + 90, 5*c + 2*b = -179. Let t be 1\/5 + (-28)\/c. Sort -3, t, 2.\nAnswer: -3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.34 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*o - 77644 + 15120. What are the prime factors of o?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6629 + 10410 = -586*z - 12304 + 5317 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71519053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 38*t - 8934. Let j be n(0). What is j rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 122*v**3 - v + 55*v**3 - 176*v**3. Let z(p) = -4*p**3 + 6*p - 5. Calculate -6*m(c) - z(c).\nAnswer: -2*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from {i: 7, f: 1, z: 3, s: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*c**2 - 6 + 2*c**2.\nAnswer: 4*c**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50620073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rere when four letters picked without replacement from reere?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/9 - 44*j**3\/3 - 680*j**2\/3 + 4624*j\/9.\nAnswer: -2*j*(j - 2)*(j + 34)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 827288999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(624)\/(sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12)))\/sqrt(4) + 3*((sqrt(325) - sqrt(13))**2 + -4).\nAnswer: sqrt(13)\/3 + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 9 + -14)\/(-1*1). Let y be (v + -5)\/(4 - 5). Which is the fourth smallest value? (a) y (b) -0.3 (c) 3 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/(-11 - -22) - 7) + 10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - g - 77 = -509, 5*g = -5*y + 440. Suppose -5*i = 3*u - 601, 5*u - y = -4*i + 894. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -3*r + 15, 3*q = -r + 1. Let v(z) = z**3 - 7*z**2 - 7*z - 11. Let g be v(r). Let i = -49 - g. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-2)\/(-40)). Calculate the greatest common factor of 30 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:19 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1969970244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3393 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -10, 0.\nAnswer: -10, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 260*u**2 + 7775*u - 8030.\nAnswer: -5*(u - 73)*(u - 1)*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 1. Let c(m) = -3*m + 1. Let f(q) = 5*c(q) - 7*l(q). Suppose -4*u + 5 = -a, -5*u - 4*a + 3*a - 5 = 0. Calculate f(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from kkkkwkkkwkwww.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l + 3*l - 4*l)*(-5 + 7 + 26)*(34 + 32 - 106) as u*l + h and give u.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b = 47*b + 35. Solve 0 = -2*s + b + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130*p**2 - p - 140.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9648 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1011 + 269*y + 1014 + 271*y.\nAnswer: 540*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -7) + 4 - 1 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2 + 34*d - 3847. What is q(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 + 106884*p**3 + 713851496*p**2 - 2142302736*p + 1428344352 = 0. Calculate p.\nAnswer: -13362, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/4 - 39*r - 1881\/4 = 0. Calculate r.\nAnswer: -33, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = 4*v. Let u be v\/13 + 19\/39. Let q(i) = -i**3 - 7*i**2 + 1. Let k be q(-7). Which is the closest to u? (a) -0.3 (b) -1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let c(j) = -j**3 + 14*j**2 + 48*j + 232. Let a(h) = -2*h**2 - 7*h + 1. Let i(y) = 7*a(y) + c(y). What are the prime factors of i(u)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144111 (base 5) in base 13?\nAnswer: 14045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 divided by -318.\nAnswer: 79\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363463633?\nAnswer: 13, 263, 106307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 773*i - 777*i + 352 = -4*m, -370 = -4*i - 5*m. Calculate the highest common factor of 2235 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**3 + 11*x**3 + 4*x**3 - 1. Let q be m(1). Let b = 14 - q. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6156, 6172, 6188, 6204, 6220?\nAnswer: 6236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + x + 6 = 0, v - x = 3*x + 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*q**3 - 527 + 527 + q.\nAnswer: -109*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94456 or -94482?\nAnswer: -94482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 950*o - 38038. Determine t(-51).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-620802)\/24635)\/(9\/15).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23815*b**2*w**3 + b**2*w**2 + 2*b**2 + 7*b*w**2 + 10*w**2 wrt w?\nAnswer: 142890*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8613981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 10694271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.9 + 5.2. Let d be 287\/49 - (0 - (-1)\/(-7)). Let z be ((8\/(-6))\/2)\/(-2). Which is the closest to d? (a) n (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915545 a multiple of 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2181, 2937, 3691, 4443, 5193?\n\"Answer: -d**2 + 759*d + 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -513*u + 5356. List the prime factors of v(-77).\nAnswer: 31, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnlxlxllqnslnx. What is prob of picking 1 l, 1 q, and 2 n?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -6, -3\/13, 1201, -2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 10 - 51*o**3 + 52*o**3 + 12*o**2 + 4*o in the form g*o + u*o**3 + h + v*o**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226\/273 + 10\/39. Which is the smallest value? (a) 5 (b) 0 (c) f (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 39*d - 4 = 0. What is the second derivative of 952*c - 979*c - 7*c**2 - 15*c**2 - 3*c**d wrt c?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230850 and 14740.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1*591\/3. Let c = z + 281. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48330 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.004 + -27.604. Let w = z - -37. What is w rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931)*3 + -3))*1)**2 + -3.\nAnswer: -84*sqrt(19) + 3730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from {a: 3, d: 1, n: 3, j: 6, b: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792 and (5 - (5 + -5)) + 107?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*z - 78 = -166, 5*p + 4*z - 72 = 0. Let x = -13 + 18. Let s = 5 + x. What is the least common multiple of p and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11861768*h**3*m**2 - h**3 + 17372963*h**2*m + m wrt m.\nAnswer: -23723536*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10*35\/7. Let f(j) = -j**3 + 2*j**2 + 5*j + 3. Let g be f(i). Suppose -5*t + 127 + g = 0. What is the greatest common factor of 256 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.849 - 0.049. Let h = o - 102.8. Let k = h - -101.17. Round k to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 16*y**2 - 173436*y + 130068 = 0?\nAnswer: 3\/4, 10839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -31. Let q be (-4)\/12 + 1\/s. Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/14101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0 - 4*k**2 + k**2 - 27. Let m(w) = -2*w**2. Calculate m(o(q)).\nAnswer: -18*q**4 - 324*q**2 - 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/9)*a*a*a\/(a*a\/(a*a\/(a*a**8)))*a*(a\/a**(-4))\/a*a**(-1) assuming a is positive.\nAnswer: a**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6094*g**3*q**3 - 171*g**2*q**3 - 13*q**3 wrt g.\nAnswer: 36564*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 19*t**6\/120 - t**5\/60 + t**4\/12 - t**3\/6 - t**2. Is q(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 190 + 52 - 2*s)*(0 - 3 - 4).\nAnswer: 14*s + 1162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -46, -0.1, 3 in decreasing order.\nAnswer: 3, -0.1, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -t + 1, 2*t + 0*t + 4*y = -6. Suppose t*h - 34 = 4*h. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393265 a multiple of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**2 - 2*b - 2. Suppose 24*w - 181 = -37. Let r(f) = -3*f - 2*f + 22*f**2 - 26*f**2 + 1 + 6*f + 0. Determine w*k(d) + 11*r(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -113. Let m = -19991\/8 - -2487. Calculate the common denominator of m and (160\/(-18))\/(-4*7\/l).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(75) - 3*sqrt(3)*3)*6)**2 + -2.\nAnswer: 27646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 3084 = 113*g - 6420 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1914871 = 1914871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from jhhhjjlhhhhjjhhjh.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 + o**2 + o**2)*(-2*o - 3 + 3) + (-o**2 + 2*o**2 - 3*o**2)*(-2*o + o - o) + 45*o**3 + 35*o**3 + o**3.\nAnswer: 71*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(114)\/(sqrt(96)*-1)*2.\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 + (2 - 8) + 102\/34 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 25*a + 30*a = 15, 0 = -3*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 116*y - 65. Is w(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129557202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -442\/11?\nAnswer: -442\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256483.\nAnswer: 3, 241, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfs when three letters picked without replacement from yfdtfdsy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -298 (base 12) to base 7.\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1bc + -3?\nAnswer: -1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 171*j + 9722. What is k(-57)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-3))\/((-6)\/(-18)). Let z be (-2)\/g - 13\/(-5). Let c = -10 - -15. Solve 3*j - c = 2*k + 2*k, -z*k = 2*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 592 - 587.21. Let w = 4.73 - b. What is the second smallest value in -8, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39.53 at least 241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -27. Let z(c) = 4*c**2 + 2*c + 1. Let l be z(g). Let m = l + -21. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3084 - -2932. Let h = -0.24 - 0.16. What is the second biggest value in q, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1110\/(-148)*1\/((-6)\/8). Let t(q) = -q**3 + 11*q**2 + q - 42. Calculate the remainder when t(f) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/20 - 11*y**4\/12 + y**3\/6 + 12*y**2 + 19*y. Does 16 divide l(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(((-150)\/4)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l - 11. Let i(x) = 29*x + 23. Let p(r) = 2*i(r) + 5*t(r). Let a be p(-2). Solve 25 = -a*m + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317306896 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3164.9 + 3034. Round p to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5536)\/450 - (-2)\/(-1). Let u = 128\/9 + w. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0226 * 0.6.\nAnswer: -0.01356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**5 - 2*t**4 - 2*t**2. Let a(w) = 8*w**5 - 42*w**4 + 108*w**3 + 204*w**2 - 1296*w. Let m(h) = -a(h) + 6*o(h). Solve m(f) = 0 for f.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 95, 111, 107, 77?\n\"Answer: -s**3 - s**2 + 40*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 45*b - 500. Let m be n(-24). What is the closest to 0.2 in m, -0.3, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1354 + 1851.\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861678 is divided by 5856?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -183. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/9 + 3 - 33\/(-9). Suppose 5*w + 0*w - 296000000 = -o*r, -2*r - 4*w + 148000000 = 0. What is r rounded to the nearest 1000000?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*n**2 + 0 + 16\/7*n + 1\/7*n**3.\nAnswer: n*(n + 2)*(n + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*f**2 + f**3 - 27*f**2 - 24*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + -23. Let o be (m - 2)\/(3\/3). Let c = o - -112. Which is bigger: c or -30\/11?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-4) + 1 + 23. Let v = 33 - x. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 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: List the prime factors of 11566734.\nAnswer: 2, 3, 1927789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = v, r + 5*v = -0 + 14. Suppose x + 3*n - 7 - 4 = 0, 5*n - 58 = -r*x. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3134 + -3016. Calculate the remainder when 932 is divided by y.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111158687 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, 2, 417, -1, -2 in decreasing order.\nAnswer: 417, 4, 2, -2\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3769219 is divided by 532.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.2 + 29. Let p = y - -0.4. What is p rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 28. Let m(o) = -2*o - 19. Let q(y) = 5*f(y) + 7*m(y). Let u be q(-5). Suppose u*h + 50 = 6*h - 2*x, 4*h + 3*x - 25 = 0. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 6*a + 9. Let f be c(-3). Suppose f*r - 3*k = -3*r + 33, -k - 47 = -4*r. What is the least common multiple of 46 and r?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 0.3, -2367?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i - 614. Let d be m(36). What is the biggest value in d, -1, -37, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 3 + (-10)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12439 (base 13) in base 12?\nAnswer: 175a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 - 2 - 156*a**2 + 155*a**2 + 2*a**4 + 6*a**3 + (-2*a**2 + 0*a**2 - 6*a**2)*(a**2 + 3*a - 3*a) as q*a**4 + s + n*a**2 + b*a + g*a**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10234005731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1))\/u*u*u\/((u\/(((u**(-5\/2)\/u*u)\/u)\/u))\/u))\/((u*u**1\/u)\/u)**(-11)*(u\/(u*u**(-5\/3)*u)*u*u\/((u**(1\/2)*u)\/u))**31 assuming u is positive.\nAnswer: u**(197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8540*u**2. Let h(w) = 5*w**2 - 6. Give h(t(n)).\nAnswer: 364658000*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -164*-5\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 60*f + 124. Let l be v(-2). Sort -2, l, -232 in decreasing order.\nAnswer: l, -2, -232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13161985*l + 936391 wrt l?\nAnswer: -13161985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 - 215357060*z + 2318933164592180 = 0. What is z?\nAnswer: 21535706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(2 - (6 - 2)). Suppose 22 + 18 = o*a. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 5*x**3 + 7*x**2 + 79. Find the second derivative of p(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43280 is divided by 43083?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -49. Suppose 5*o = -4*k + d + 11, k = 5*o - 20. Suppose 2*m**3 - 4\/7*m**2 + 10\/7*m**4 - 8\/7*m**5 + 0 + k*m = 0. What is m?\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4845 by 12407.\nAnswer: -255\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*r - 62 = 0, -29*f + 27*f - 3*r + 21 = 0. Calculate the highest common divisor of 69 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266869711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55130*f**3 - 4*f**2 - 55118*f**3 - 55112*f**3 + 165356*f**3.\nAnswer: -4*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 2, j: 1}. What is prob of picking 1 j and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -122 and -112 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**3\/3 + 589972*b**2 - 166407448*b\/3 = 0?\nAnswer: -442573, 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 365301 + 5?\nAnswer: 365306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 11) to base 9.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 + m. Let a(y) = 5*y**3 + 216*y**2 - 2*y - 136. Let b(d) = -a(d) - 4*j(d). What is the second derivative of b(i) wrt i?\nAnswer: -6*i - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n + 8*n - 46*n - 49*n as v + b*n and give b.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-735)\/(-60))\/(22 + 2159\/(-68) + 10)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 5*y**3 - 3*y**3 + y**2 + y**3.\nAnswer: -y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikebvvo. What is prob of sequence oi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, o: 2, d: 4, t: 1, l: 5, c: 4}. Give prob of picking 1 l and 2 d.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/14)\/(((-15)\/(-42))\/((-650)\/520)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 150916.1 minutes in microseconds?\nAnswer: 9054966000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.66 and 0.8.\nAnswer: 2.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 6*u**2 + 5*u - 2. Calculate the lowest common multiple of z(-4) and -4 - (-14 - -2 - (2 + 2)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2474 - 2425) + 3 + 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2729\/2305 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:33 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 63764 = -10410. Suppose 15*n - 6353 = 10*n + 2*t, -3*n + q = -t. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0*q - 2*q - 3*q. Let v be 2\/((-3)\/((-9)\/(-6))). What is the units digit of f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 1707821550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**4 - 2*t**2 - 4\/3*t + 0 + 0*t**3.\nAnswer: 2*t*(t - 2)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + q - 18 = 0, j = -2*q + 23. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, 25, 91, 193, 343?\n\"Answer: 2*c**3 + 28*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:44 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:27 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148476 is divided by 640.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -19*k**3 + 16*k**2 + 7*k + 20*k**3 + 3 - 27*k - 1. Is 16 a factor of d(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 3*g. Let l be h(-3). Let o be -2 - 7*(2 - 3). Suppose m = 4*k, 0 = k - o - l. Solve -c - 3*c + m = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78\/(-182) - (-3058)\/14 - 1 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 10:25 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*o - 11*o + 53*o + 10*o in the form l + u*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*h + 3*h - 2, -5*h + 3*q - 3 = 0. Suppose 0 = -5*k - 2*t + 275, h*k - 4*t - 248 = -4*k. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1200*y**5 + 58*y**4 + 3*y**2 + 19539 wrt y.\nAnswer: -72000*y**2 + 1392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 + z - 8. Let q be (6\/(-15))\/((-2)\/30). Let t be y(q). Let j be 2 + -2 + t + -559998. What is j rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:42 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 2021?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -11959\nAnswer: 7175.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t. Let d be 2\/(-1*(-2)\/2). Let f be d\/3 + (-32)\/(-6). Let c(i) = -i + 1 - 1. What is f*c(m) - 2*g(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.1 - -11. Which is the closest to -5? (a) 5 (b) l (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/112)\/((-6)\/8)*14\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 2 (c) 13\/57598 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/22? (a) 0 (b) -0.4 (c) 9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 33*i - 59. Let a be c(-31). Let k = -2 + 4. Put k, a, -1, 0 in decreasing order.\nAnswer: a, k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*p + 372, 3*r + 291 = 27*p - 24*p. Calculate the remainder when p is divided by 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -127 + b - 4*b**2 + 8*b**3 + 412 - 144 - 149 in the form t*b + v*b**3 + s*b**2 + u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 2:20 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 31*m**2 - 3770*m - 68249. Calculate g(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3377042371 to the nearest integer?\nAnswer: 58112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 1 + 6 + 24 + -65?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 30 - 3 = 0. Calculate the remainder when a 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 30381435 and 2205?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (69\/33 + -1))*(-8558)\/(-38511).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*z - 2190 = 7*z, -2*b - 4*z + 2158 = 0. What are the prime factors of b?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17194 divided by 454?\nAnswer: -8597\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3.5. Let n = 5 + -8. Let u = r - n. Round u to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/3))**(-9)*(h**(-1\/2))**(1\/56) assuming h is positive.\nAnswer: h**(-1345\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24576137 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 -5684, -11349, -17014, -22679, -28344, -34009?\nAnswer: -39674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 + g. Let o = -1 + -1. Let j(a) = -a**2 + a - 1. Determine o*j(s) + 2*d(s).\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2184 + 5075*p + 2184)*(-18 + 9*p**2 + 18).\nAnswer: 45675*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2151, 0.6, 16496 in descending order.\nAnswer: 16496, 0.6, -2151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.054 + 0.146. Let o be 0 + 15\/8 - 2. Let v = 5 + -15\/4. What is the closest to 0.2 in o, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*d + 4*d. Let f be (4*d)\/3*-1. List the prime factors of 174\/15 - f\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.465 + 0.065. What is the third smallest value in -5, 2, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 4. Let t be o(1). Which is greater: -16\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131717943 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -0.101 in increasing order.\nAnswer: -17, -4, -0.101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 2*i**5)*(-5 + 4 - 1) + 3*i**5 - 8*i**4 + 8*i**4.\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2581650 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvtyvoffov. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -5, 14982 in ascending order.\nAnswer: -5, 0, 2, 14982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -48*o**2 - 16*o. Let m(u) = -u. Determine m(v(g)).\nAnswer: 48*g**2 + 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 351?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -12, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24 + -28 - (66 - 0). Let c be (-4)\/(-10)*w\/8 + 0. Which is smaller: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 267. Let j = g - -354. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11624.792886 to zero dps.\nAnswer: 11625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r - 24. What is the lowest common multiple of r and 62\/14 + 12\/(-28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6161999?\nAnswer: 23, 267913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 1. Let w(d) = -d**3 - 9*d**2 + d + 11. Let x be w(i). Let p(g) = g**2 - 8*g - 3. Let c(v) = -8*v - 4. Let o(m) = x*p(m) - 3*c(m). Factor o(l).\nAnswer: 2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 21 - 1. Suppose 2*r - d = -2. Let t = -38 - -115\/3. Is t at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from zbztzib?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z = -6*z. Suppose z = 2*p + w - 4*w - 247, -4*p + 521 = 3*w. Suppose -17*j + 15*j + 44 = 0. Calculate the remainder when p is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1862*n**3 - 427*n**3 - 7*n**3.\nAnswer: -2296*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*x - 4*l = 153*x + 4, 3*l = -4*x - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i**3\/3 - 1041. Let g(u) = -351*u. Give s(g(b)).\nAnswer: -246402*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 3*u**4\/2 - u**3\/3 + u**2 - 2*u + 7. Let p be j(1). Suppose -3*g = 5 - p. Is 1\/4 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 567 = -0*i - 36*n, -221 + 664 = -n + 224 + 235 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/4))**(-3\/5))**(-3\/10) assuming s is positive.\nAnswer: s**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2630 - -2632. Do 60\/37 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.708123 rounded to two decimal places?\nAnswer: -3.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70994\/(-76065))\/(2\/165).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdg. Give prob of picking 1 d and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - (-15)\/2. Let v(q) be the third derivative of 11*q**4\/24 - 8*q**3\/3 - 8*q**2. Is 18 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89297708 to the power of 1\/2, to the nearest integer?\nAnswer: 9450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 0*m**2 + 5*m**2 + (0*m - 3*m + m)*(-m - 2*m + m) + (m - m - 2*m)*(-3*m - m - 6*m).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -208149796*y + 65622310 wrt y.\nAnswer: -208149796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 4, 1\/146?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 4856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 + 2*o + 1. Let k be m(-1). Suppose 2*p - p - k = 0. Suppose 106 = p*z - 89. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, o: 2}. Give prob of picking 1 m and 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*s + 16138 = -18614, 5*h + 3*s - 57910 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 41. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-8 + -9 - -30) - -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m - 5. Suppose -3*i - 4*f = -20, -3*i + f = 2*f - 32. Suppose -15 + i = -3*g. Let u be b(g). Solve 5*d = 2*d - u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5947*c**3 + 8566*c - 8566*c.\nAnswer: -5947*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1232 and 5566330.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/15 - y**4\/4 + 31*y**3\/6 + 3*y**2. Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -16 (c) -10 (d) -0.4 (e) 4260\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 + 2*d**3 - d**3)*(-4 - 2 + 3)*(75 + 164 + 293) to a*d**2 + s*d**3 + q*d + x and give s.\nAnswer: -4788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 545858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2*v - 648105920*o**2 - 93067892*v**2 wrt v.\nAnswer: o**2 - 186135784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 20. Suppose 551 + 591 = p*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 12*r. Let y(a) = 33*a + 2. Give b(y(l)).\nAnswer: 396*l + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 271 + 157. Let u = n + -107. Suppose 4*f - 92 = c, -4*c - 19 - u = -5*f. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 9*l**2 + 4*l + 3*l**4 + 1 - 15*l**2 to z + s*l**4 + h*l**2 + v*l**3 + k*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806821609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4\/9 - 5216*s**3\/9 + 2207860*s**2\/9 - 99969800*s\/3.\nAnswer: 4*s*(s - 505)**2*(s - 294)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97262, -387660, -871198, -1547876?\nAnswer: -2417694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + 2 + 6 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 10*a - 9. Let n be z(2). Solve 0 = 2*x + 3*x + u + n, -4*u = 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -73, -71, -49, -7?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4 - s**3\/3 + 5. Let g be v(-1). Suppose 2*z - g - 7 = 0. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 2:49 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1177267 to three dps.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b87c + a?\nAnswer: -b872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -36. Calculate the common denominator of 6\/(-9)*(-606)\/56 and (24\/160)\/(g\/218).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.423566 rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 2:07 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.2, -5017\/7 in decreasing order.\nAnswer: 0.02, -0.2, -5017\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 - 3*a - 353*a**2 + 5*a + 361*a**2 as p + i*a**2 + t*a and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 1923*k + 11430 = 0. Calculate k.\nAnswer: 6, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 2*k + (k + 0 + 0)*(1 - 2 + 6))*(1 - 4 + 2) - 18 + 2*k + 18 + 1 + 4*k - 1 + (2*k + 1 - 1)*(6 + 0 - 4).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.8100321 weeks?\nAnswer: 136.0853928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 4*b = 45*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5085 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2800 - 1814. Suppose 5*z = 2*a - 602, -4*a + 186 = -2*z - d. Suppose -3*w + a - 18 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 464*j**2 + 30*j + 77. What is the tens digit of o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 + -7. Let a = 3 - x. Sort 5, 0, a in descending order.\nAnswer: 5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.030572 * -0.09.\nAnswer: 0.00275148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14994, -15001, -15006, -15009, -15010?\n\"Answer: z**2 - 10*z - 14985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923432?\nAnswer: 2, 115429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8566 + 8605 - (1 - -24)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10, -5, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + -120. Let f be 4\/(-6) - (-86)\/(-6). Let y = a - f. Is 4 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/49)\/(-4))\/((-12)\/(-168))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 18*v**3 - v + 2. Let w(i) = -i**3 - i**2 - 1. Determine -j(c) - 2*w(c).\nAnswer: -16*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 57*y - 4. Let s be q(-28). Let k be (32\/s)\/((-2)\/(-6)). Solve k*x + 8 = -4*b, -b = -3*x - 1 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose 2 - 8 = -z*w. Suppose 0 = -b - 5*d - 1 + 24, 0 = -2*d + 8. Solve 15 = w*h + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 17 - k**3 + 5*k - 14*k**2 - 8*k + 4*k. Let y be t(-14). What is the nearest to -0.13 in 0.1, y, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 369847, -4, -2 in ascending order.\nAnswer: -4, -2, -1, 369847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -526\/85 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102011001303 (base 4) in base 11?\nAnswer: 2747692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -130875 (base 13) to base 10\nAnswer: -458424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 548, 1168, 2026, 3116, 4432, 5968, 7718?\nAnswer: 9676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2234 or -13403\/6?\nAnswer: -13403\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 4*o - 4*o)*(2*o - 2*o + 3*o)*(21 - 21 + o).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.30552 - 0.02452. Let c = 4729.281 + -4696.2. Let m = c - z. What is m rounded to 0 decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7779*q**3*x**2*z + 52*q**3*x*z - 7*q**2*x**2*z + 5*q**2*z - 6*q*x**2*z - 5*q - 7 wrt q?\nAnswer: 46674*x**2*z + 312*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 10\/3 (b) -1 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f + 1, -b - 5 = 3*f. Let z be (4 + -12)\/b - -1. Suppose -i = -3*i + 3*n + 117, 305 = z*i + 5*n. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0663 + 0.4337. Sort -4, 5, b, 0.099 in ascending order.\nAnswer: -4, 0.099, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -96 (c) 5 (d) -0.14 (e) -7\/4 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(81\/6) + (-8035)\/(-9)?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 25.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:51 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -320 = -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 388038886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6809 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 45 + (24 - 77).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 78?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1431 and 3021.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67703*r**3 - 117*r + 68056*r**3 + 114*r.\nAnswer: 353*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 10*w**2 - 2*w + 11. Calculate j(9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010222220 - 101022?\nAnswer: -11011101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2 + 14*g**2 + 153*g - 39*g**3 - 75*g - 24*g**2 + 9*g**2 - 74*g. Calculate m(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.1 (c) 14 (d) 2\/19 (e) -6\/3509 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-26430)\/20)\/((-4)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 188 (b) -2\/7 (c) -1 (d) -1\/5 (e) 267 (f) -4 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378 - 190 + 18*g**3 - 188.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**2 - 10*b + 4. Let a be f(-6). Suppose -110*r - a = -114*r. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:34 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -31. Let x = n + -4. What is a in -18*a**2 + x*a + 3*a**3 + a - 6 + 6*a**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = -5*d - 388, -5*f - 10 = 0. Let z = -25 - d. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-2 + 936\/232. Which is the second biggest value? (a) -1\/2 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*w - 21960, 3*w = 5*d + 4*w - 109852. Let p(a) = -1620*a - 10. Let n be p(3). Let f = d + n. Round f to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24404 - -4?\nAnswer: 24413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = -71*f - 153*f. Suppose -j + 12 = -2*t, 2*t + 3*j + 4 = -0*t. What is the third smallest value in t, f, -27?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offforofooxf. Give prob of picking 1 f and 1 r.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -4, -2\/51?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*s + 245*s = 763. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.87611, 0.2, 2\/7 in decreasing order.\nAnswer: 0.87611, 0.4, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405, 458, 509, 558, 605, 650?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 776\/9. What is the third smallest value in -6, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -28. Let t(a) be the second derivative of -a**3\/6 + 3*a**2\/2 + 119*a. Give t(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 6*c - c + 5*j, 5*j = 2*c - 16. Let r = c - 22. What is the units digit of (-3)\/(r\/15) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 732, 733, 734?\n\"Answer: z + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -785, -867, -1005, -1199, -1449, -1755, -2117?\n\"Answer: -28*u**2 + 2*u - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -307 + 642. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (144\/20)\/((-4)\/(-10)). Suppose 8*q - 6*q = d. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6\/6 + 3*i**5 + 17*i**4\/4 - 5*i**3 - 8*i**2 + 1071. Factor c(u).\nAnswer: -u*(u - 16)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**7\/168 - m**6\/90 - m**3\/3 + 5*m. Let q(r) be the second derivative of b(r). Find the third derivative of q(z) wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 + 1588*q + 8. Let v(l) = -7*l**2 - 1602*l - 10. Give -5*g(h) - 4*v(h).\nAnswer: -2*h**2 - 1532*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*o**3 - 46*o - 46*o**3 + o wrt o.\nAnswer: -420*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 14 = 16*l. Calculate the greatest common factor of l and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9\/29 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from hhhjhhhjhjh.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -232\/5? (a) -12 (b) 7\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/33879482 and -16\/31213?\nAnswer: 237156374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 - -8 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6887, -6886, -6885, -6884?\nAnswer: -6883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = -a, 5*a - 9 + 13 = 2*y. Suppose 3*h + 7*h = a. Solve h = -r - 0 - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 17}. Give prob of picking 1 s and 2 b.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 5. Let k = 6 + i. Is (5 - 62)*k\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7400 + 4?\nAnswer: -73eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3929562 tonnes to milligrams.\nAnswer: 392956200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 87*y**3 - 2*y**2 + 2*y - 1. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13452\/152*2*6?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -677 + 738. Let v = -85 - -47. Let y = v + a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 2 (b) -353 (c) -3\/34 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, 182, -1491 in ascending order.\nAnswer: -1491, -4, 9, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.67 + 158169.\nAnswer: 158168.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 0. Suppose -7*r + 3*r + 44 = k. Calculate the lowest common multiple of (18\/(-24))\/(1\/(-12)) and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1275649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -127*c**2 - 4828*c - 102. Determine b(-38).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13347123 (base 9) to base 14.\nAnswer: -c36168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 6. Let v be 64\/(-6)*6\/(-4). Suppose v*b - 15*b = 2. Let l(x) = 7 + x - 2*x**b + 5*x - 6*x. Give 5*a(d) + 4*l(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120211121201 (base 3) in base 5?\nAnswer: 322441431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -0.1598557.\nAnswer: -0.11189899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -9*x**5 - 332*x**4 - 2444*x**3 + 12528*x**2 + 9920*x - 44800 = 0.\nAnswer: -20, -2, 2, 28\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 2901*o**2 + 70056*o + 421200.\nAnswer: -(o - 2925)*(o + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 - -9 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((1*sqrt(96))\/sqrt(12)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, 1\/3, 3\/5, -2\/15 in descending order.\nAnswer: 3\/5, 0.4, 1\/3, -2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d + 3. Let c be p(-4). Suppose b - y - 9 = 32, -c*y + 192 = 4*b. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57737449?\nAnswer: 7, 11, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2746 = 4*u, 2060 = 11*u - 8*u - t. List the prime factors of u.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/462970 and -61\/14740.\nAnswer: 10185340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, d: 3, y: 2, p: 5}. Give prob of picking 1 y and 3 p.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*t - 5*a - 3, -t = -2*a + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16803 is divided by 51?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*r + 410 = -305*r + 1562 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-69)\/15 - (-36)\/60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434685 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1533 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -30 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5389 in 1\/4, 1, 12\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 235620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.028*-0.4786\nAnswer: -0.0134008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 20. Let j be -258*3\/a + 3. What is the greatest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 13600084 + 13600084.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:25 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 4*k + 0 = -13, 7*t + 17*t - 23*k = 21*t - 22*k + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.33149 millimeters in kilometers?\nAnswer: 0.00005333149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6097 = 3*p, 0 = -2*c + 2*p + 7137 + 5061. Does 122 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13279164 to the nearest integer?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 1. Let x(c) = c**3 - 4*c**2 - 8*c - 5. Is 7 a factor of x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -2\/7 (c) 5 (d) -479 (e) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 9) in base 8?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18154080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -2\/15 (b) 5.1 (c) 0.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 3*c**2 + 4*c**2 + (-9*c + 31 - 31)*(0*c + 6*c + c).\nAnswer: -65*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + 127\/12. Let o = -5923\/660 - 51\/44. Let z = o + h. Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -271962, -543920, -815878, -1087836, -1359794?\n\"Answer: -271958*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894 a factor of 1100968337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 597997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -25, -40, -55, -70, -85?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1325.5 - 1326. Which is the fourth smallest value? (a) 2\/29 (b) k (c) -1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10796 is divided by 145?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 1 l when three letters picked without replacement from {m: 1, n: 2, k: 1, l: 1, a: 2, z: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216*(54871\/(-999) - -55).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 - 4*x**2 - 5*x - 3*x**2 + 15*x**2.\nAnswer: -3*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 - 19174*u + 459552845.\nAnswer: (u - 47935)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + r + 15, -2*r = 0. Let i = u - 11. Suppose -5*k = i*n + 4, -4*k + 12 = -2*n - 9*k. Solve n*a + p = 23, -p - 10 = -2*a - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1631462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386138 (base 14) to base 5.\nAnswer: 444000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 7*r - r**2 - 53*r + 64*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 4, r: 9, j: 2}. What is prob of sequence jb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93950?\nAnswer: 2, 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 5816*j**3 + 420352*j**2 + 5816*j - 420348 = 0. Calculate j.\nAnswer: -1523, -1, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 137379.9 weeks?\nAnswer: 1384789392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08676*2.\nAnswer: 0.17352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 4, 102 in descending order.\nAnswer: 102, 4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 0\/(-2)) + 1. Let r be 3\/6 - (-6)\/(-20). Which is the third biggest value? (a) o (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97156 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (360 - 342) + (-1 + 2 - -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400662, 801066, 1201470, 1601874, 2002278, 2402682?\nAnswer: 2803086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000147659855 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 - 27*p**2 + 599*p wrt p?\nAnswer: 40*p**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17364.000056216 + -17364. Round x to 7 dps.\nAnswer: 0.0000562","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2524 + -1547. Let c = k - 1377. Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:35 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) -0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -549 times 0.1?\nAnswer: -54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -191 times 71.5\nAnswer: -13656.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 1. Let t(b) = -55 - 6*b**2 + 0*b**2 + 54. Let q = 36 + -37. Determine q*r(o) - t(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80781 - -80846.847. What is a rounded to one dp?\nAnswer: 65.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(350) - (sqrt(350) - sqrt(350)*1)))\/(2*sqrt(112)))\/(3*sqrt(80)\/(sqrt(8) - (sqrt(32) - 1*sqrt(32)))).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9388 and 6400.\nAnswer: 60083200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s + 28 = 67*s. Solve 0 = 4*r - 5 - s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23917436 is divided by 23917402?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 40. Let v(x) = 6*x - 260. Let u(a) = -13*h(a) + 2*v(a). Let t(o) = 361*o**2 + 2. Calculate u(t(j)).\nAnswer: -361*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 + -251. Let k(y) = 2*y + 1. Let n(x) = -x. Let r(s) = -k(s) + n(s). Let v be r(-1). Solve 0 = 4*g + 2*h + 8, 2*g + q = -v*h - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29417101, 58834201, 88251301, 117668401, 147085501?\nAnswer: 176502601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38329674*q + 9381081 wrt q?\nAnswer: -38329674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*s + 4, 5*x = x - 3*s + 14. Solve -5*f = 4*w - 20, -3*f + x*f = -w + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 617, 948, 1281, 1616?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/3 - 11. What is the closest to -1\/2 in b, 1\/15, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 65 = 13*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2948 is divided by 1039?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62, -243, -548, -977, -1530, -2207?\n\"Answer: -62*i**2 + 5*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -5284?\nAnswer: 5289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18956 divided by 14?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + (4 - -9 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 2 - 2 + 5 + 182*o.\nAnswer: -o**3 + 182*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -15. Let s(p) = 3 + p**z - 44*p**2 - 3. Let v(n) = -n. Determine v(s(f)).\nAnswer: 43*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4+-69856\nAnswer: -69860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/7 - 1416*v**2\/7 + 12332*v\/7 + 30360\/7.\nAnswer: 4*(v - 345)*(v - 11)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 17 + p + 42 - 25 + 2*p.\nAnswer: 5*p + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -422\nAnswer: -2954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*s - 3*p, -3*p - 8 = -p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -145*q**4\/24 + 8*q**3 + 2*q**2 + 10. Differentiate d(y) wrt y.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -0.2, -29, 7 in decreasing order.\nAnswer: 7, 5, -0.2, -0.5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.68 and 0.1?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 19*q**2 - 40*q + 41. Let u be f(-21). Let i = -1 + 0. What is the closest to u in 0.1, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4631*p + 397972 = -7320*p for p.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 416208.1?\nAnswer: -208104.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469661 by 13.\nAnswer: -469661\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17342 and 4002.\nAnswer: 52026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -161897\/116228 - -2\/29057. What is the common denominator of -17\/49 and x?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 3*u. Let w be b(0). Suppose 4*r + 8 + 0 = w, 4*p - 58 = 3*r. Suppose 9*m - 6*m = 114. What is the remainder when m is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x**3 - 994*x**2 - 268*x - 263. Calculate i(-66).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153018443.\nAnswer: 153018443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 23*i - 174. Let n(w) = 10*w**2 - 67*w + 528. Let p(c) = 14*h(c) + 4*n(c). Determine g, given that p(g) = 0.\nAnswer: 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912 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: What is the common denominator of 139\/50022 and 29\/78606?\nAnswer: 550242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16804 (base 13) to base 12.\nAnswer: 20b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2313 and 74\/2313?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 6:30 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:02 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 3*g**2 - g**2 + 4*g in the form z*g**2 + j*g + f and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-7 - -7) - 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10672 and 20148.\nAnswer: 2337168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (-2 + sqrt(612))**2*-2) + 1 + (sqrt(612)*-1)**2.\nAnswer: -42*sqrt(17) + 1845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -454*f**2 - 380*f - 760. Calculate s(-2).\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k. Let m be t(1). Let i(s) = -s - 3. Let w be i(m). Suppose w = -3*r + 3*j + 108, 0*j + 2*j - 113 = -3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3389, 3715, 4043, 4373?\nAnswer: 4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103672*g + 58726?\nAnswer: 103672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**23 assuming g is positive.\nAnswer: g**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5863 is divided by 255?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let g be 42\/4*w\/3. Solve -4*j - 23 + g = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-30))\/(50\/450)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 0*r + 2*r - 2 + 13*r**2. What are the prime factors of v(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36145 - -36162. Solve 8 = -2*o + 4*y, 2*y - 9 = -2*o - a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8374 - 809.\nAnswer: -808.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*h = -99*h + 5106. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7456653 is divided by 15933.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -40, -85, -150, -241, -364, -525?\n\"Answer: -j**3 - j**2 - 21*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Put 0.3, 6, n in increasing order.\nAnswer: 0.3, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 2*n + 3. Let g be r(0). Let k be 2 + (2 - g) - -5. Let q = 13 + k. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11730195 by -3.\nAnswer: -3910065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q - 5 = 0. Let t = 9 + 8. Let l = t + -16.2. Which is bigger: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba4 + -1?\nAnswer: -ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let f(b) = 4*b - 3 - b + 3 + 1. Let c(p) = -f(p) + 4*h(p). Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38*2\/(-28) - -3. What is the smallest value in -1, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 3. Let o = -22 + 16. Let m(j) = j + 2. Let c = 5 + -9. Let g(q) = c*z(q) + o*m(q). Let r(l) = 2*l. Determine r(g(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.89637 litres to millilitres.\nAnswer: 97896.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1218.3 (b) -4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 73785, -0.4 in increasing order.\nAnswer: -0.4, -0.01, 73785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8808618424104.000001953 - -8808618419956. Let f = -4148 - p. Round f to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 3*u**2 - 12*u**2 - 7*u**2 in the form g*u**2 + r*u + k and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*s = -10, -8*s + 9*s - 5 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 7)*(-89*u + 89*u + 38*u**3) + (-2 + 2 + u)*(2*u**2 + u**2 - 2*u**2) to z*u**2 + t*u + w + y*u**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -117466586 divided by 5\nAnswer: -117466586\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.54834 rounded to 2 dps?\nAnswer: 306.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4026, -8094, -12162, -16230, -20298?\n\"Answer: -4068*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15845\/9 - 1757. Let s be (-5)\/(3 + -1 - 3). Calculate the common denominator of 2 + (37\/s - 0) and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 376.7573 milliseconds?\nAnswer: 376757.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*f + (0 + 1 + 1)*(f + 2 - 2) - 8 + 8 + 7*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 4645. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12\/545 + 53907\/2180. Let q = 24 + -23. Calculate the common denominator of l and (-245)\/15*q*(-6)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 94.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-300) - 5\/270*9.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50377, -50230, -49985, -49642, -49201, -48662, -48025?\nAnswer: -47290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (sqrt(7) + sqrt(112))*1 + 5 + ((sqrt(448) - (1 + sqrt(448))) + 3)**2 + (0 + sqrt(700) + (sqrt(700) - (sqrt(700) + -1)))**2.\nAnswer: 25*sqrt(7) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyyy when four letters picked without replacement from {y: 5, i: 4, j: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.02557, 4, 9?\nAnswer: -0.02557","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6808 + 115802\/17. Let u = -1552\/391 + t. Does -1\/4 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 206 = -434 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 5*q, 2*w - 1 + 11 = 2*q. Let v be 2\/8 - 23\/w. Let a(f) = f - 7. Give a(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -24, -31, -42, -57, -76?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*v - m, 3*m - 24 = -2*v + 35. Solve 3*r + 4*y - v = 0, 2*r - y - 3*y = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**3*f**3 + 22*d**3*f**2 - 819*d**3 + 20*d**2*f**3 - 119*d**2*f - 168*f**3 wrt d.\nAnswer: 30*f**3 + 132*f**2 - 4914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17234*l - 34460*l + 17240*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/12 + 3*s**3\/2 + 9*s**2\/2 - 4*s. Let g be l(-8). Do g and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-4\/19)\/h)*(h\/h**(1\/3))\/h assuming h is positive.\nAnswer: h**(50\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 163193, -4, -1 in increasing order.\nAnswer: -4, -3, -1, 163193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = 3. Let b = m + 10. Put 3, b, -3 in descending order.\nAnswer: 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1786725841.001081 - 1786724212. Let q = 1629 - s. Round q to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3164 + 48516.\nAnswer: 51680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34982.\nAnswer: 2, 17491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -5, 1312?\nAnswer: 1312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 984471\/343 <= 2870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30485.\nAnswer: 5, 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 63\/2. Let m(n) = -n**2 - 6*n - 5. Let y be m(-5). Which is the nearest to h? (a) 2\/7 (b) 2\/11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4864, -38221, -128568, -304399, -594208?\nAnswer: -1026489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12124 is divided by 135?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87627420 to the nearest integer?\nAnswer: 9361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -275 - 77. Calculate the remainder when 259 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(-4*c - 7*c**5 + 4*c).\nAnswer: 35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-276)*-1*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/9 - 11012*y**3\/9 + 1224*y**2 + 11012*y\/9 - 11014\/9 = 0.\nAnswer: -5507, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**2\/2 - 4. Let l(a) = -a - 1. Let u(z) = 2*z + z - 8 - 10*z + 0*z. Let d(x) = -24*l(x) + 3*u(x). What is d(t(v))?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -25*(0 + 8\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1 - (-6)\/5). Suppose 0 = v*t + 5*g - 10, 0 = -4*t - g - g + 8. Suppose 2*f = -t*f + 652. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(190)*1*-4*5)\/(sqrt(30)\/sqrt(3)*-1 + (sqrt(10) - sqrt(160)*-3))*-3)**2 + 1).\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6796101.295 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least as big as -56104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11070057*n - 29937931 wrt n.\nAnswer: -11070057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41650 and 280?\nAnswer: 166600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*x + 425 + 241 = -270*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at most -491\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**3 - p**2*q**2 - 7*p**2*q + 264*p*q**2 + 2 wrt p.\nAnswer: 30*p - 2*q**2 - 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 638195 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 + (9\/(-12))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8105 and 74.7.\nAnswer: -605443.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 52, 222, 562, 1126, 1968?\nAnswer: 3142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, -4, -3\/7, -305 in descending order.\nAnswer: -0.3, -0.4, -3\/7, -4, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 2*g. Suppose -2*o + 2 = -8, 3*d - o = 13. Let c(t) = t. Give d*c(p) - 3*n(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4703724 to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*n + 252 = 0, 186*n = 2*v + 191*n - 279. Let b(a) = 3*a**2 - 7*a - 2. What is the least common multiple of v and b(-5)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203 + 200. Let x(z) = 2*z**3 + z**2 - 6*z - 11. Let i(m) = m**3 + m**2 - 3*m - 5. Let d(u) = 5*i(u) - 2*x(u). Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0065874215 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebbb when four letters picked without replacement from {b: 5, e: 9}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 26. Let v be w(-4). Let k = v - 21. Let l(h) = -h**3 - 2*h**2 + 3*h + 2. Let m be l(-2). Put k, m, -5 in decreasing order.\nAnswer: k, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4)**(-15)\/((b\/b**2*b*b)\/(b*(b\/(b\/(b**(-4\/9)*b))*b*b)\/b*b)))**(8\/5) assuming b is positive.\nAnswer: b**(-4136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/329 + -647\/3619. What is the nearest to -1\/3 in -1, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 42*x + 37. List the prime factors of y(18).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11220201324 - -10?\nAnswer: -11220201314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s + 3. Let j = 474 - 493. Is s less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12030 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: Find the second derivative of 2*b**3*w + b**2*w**2 - 18*b**2*w + 3*b*w**2 + 17*w**2 wrt b.\nAnswer: 12*b*w + 2*w**2 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(8\/3)*w**(8\/5)*w assuming w is positive.\nAnswer: w**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1370032\nAnswer: 3\/1370032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 0 - (0 + 0). Let s be ((-5)\/f)\/(3\/6). What is the third derivative of -4*o**5 - o**s + 5*o**2 - 2*o**2 + 2*o**5 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 13*b + 2. Suppose -3*g + 681 - 708 = 0. Calculate h(g).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + ((-26)\/(-5) - (9 - 3)). Let l = 3\/145 + -4501\/290. Let s = l - -16. Sort 3\/8, b, 4, s in decreasing order.\nAnswer: 4, s, 3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*1\/4*(349 + -3).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70676315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 2}. What is prob of sequence qd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 24. Find the third derivative of 3*w**3 - 14*w**3 + 13*w**2 - m*w**3 + 7*w**2 wrt w.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.48 - 0.46. Let a = h - 0.22. What is the smallest value in a, -0.1, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q. Let w be (2 + q)\/((-4)\/(-6)). Solve w*y = 6*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cegqehc. What is prob of picking 1 c and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 13 - (-17 + 0 + 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -20, 0 = -i - 3*i + x - 420. Let g be -1*4\/(-8) - i\/4. Suppose 0 = -3*u - g - 30. Is u bigger than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 55\/((6510\/935)\/(-7) + 1). Suppose -16*z - z = -w. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-4) - -1 - 5831\/68. Let a = -58 - b. Which is greater: a or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/30 + o**4\/8 - 5*o**3 - 13*o**2 - 7. What is the first derivative of y(t) wrt t?\nAnswer: 12*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2556792 is divided by 188.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*d**2 - 350*d**2 + 5*d - 5*d.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7.6. Let i = j + -0.5976. Round i to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 8428459.\nAnswer: 16856918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgprgrnpgrpwrgwr. Give prob of picking 1 n and 1 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:01 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**5 - 1120*w**4 - 58485*w**3 - 710330*w**2 - 652960*w = 0?\nAnswer: -154, -53, -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-828))\/((-3)\/4)*180\/(-30).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-180)\/(16\/(-4)). Suppose 9*t = -36 - y. Which is greater: -11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11286*r - 3659*r - 3826*r - 3816*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -41, -7, 61, 175, 347?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 12, -1620 in decreasing order.\nAnswer: 12, -42, -1620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27*a**3 - 8*a**2 - 5*a - 4. Let h(l) = -14*l**3 + 3*l**2 + 2*l + 2. Give -5*h(p) - 2*w(p).\nAnswer: 16*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:47 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-12)\/(-9))\/(-4)). Let l(f) = -f**2 + s*f**2 - 7*f**2. Let y(g) = -3*g**2. What is l(y(j))?\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*s**4*x - 343*s**4 - 7838*x wrt s.\nAnswer: -28*s**3*x - 1372*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, i: 4}. Give prob of picking 1 o and 1 i.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 1 - 2023*y**2 + 18*y**3 + 2023*y**2 + 2*y**4 to the form b + i*y**3 + w*y**2 + z*y**4 + g*y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47819 is divided by 583?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 - 6*j + 4. Let i(s) = s**2 + s + 1. Let u(z) = -f(z) - 4*i(z). Let c(p) = 7*p**2 - p + 5. Calculate 8*c(w) + 5*u(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.043932 and 0.053.\nAnswer: -0.002328396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96448?\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - o - 27 + 22 = 0, -4*o = -4*a - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1306831 and 1.52?\nAnswer: 1986383.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 51, 2, -99, -270, -529?\n\"Answer: -3*b**3 + b**2 + 3*b + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 p, and 1 b when three letters picked without replacement from {p: 1, s: 2, b: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 9. Let n be x(9). Let p be (-3 + 2)*(4 - (-3486)\/(-36)). Let l = p - 93. Is n greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(78\/24 + 1\/(-4)). Suppose -5*p + h*r = -100, 0 = 10*p - 5*p + 2*r - 79. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o**2 + 0*o**5 - 8\/7*o**7 + 0*o**6 + 0*o - 6*o**3 + 0*o**4 + 24. What is the third derivative of z(d) wrt d?\nAnswer: -960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392.1878 centuries in millennia?\nAnswer: 39.21878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:44 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*r + 7, m = 19*r - 23*r - 9. Find the common denominator of (22\/27)\/((-2)\/(-12)) and (20\/(-60))\/(m + 278\/258).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 4275 = -19*m. Suppose 3*w + x = 13, 2*w + 0*w - 7 = -x. Suppose w*k - m = 2*k + b, -3*b + 9 = 0. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let n(h) = 3*h. Let q(a) = 3*n(a) - 2*o(a). Let r = -34 - -38. Calculate q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 2*p. Let f be q(4). Suppose 0*x = -8*x - f. Put x, -1, 3, 2\/19 in decreasing order.\nAnswer: 3, 2\/19, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11817880 minus 0.142?\nAnswer: -11817880.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018528 rounded to seven dps?\nAnswer: -0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/21674712 and -19\/192.\nAnswer: 173397696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twttttwwtwwtwtwwwtwt. Give prob of sequence wt.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 25. Let v be x(-15). Solve -n = -2*j - 0*n - 15, j - 3*n + v = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gltr when four letters picked without replacement from rgtrrrlw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g. Let l(h) = h**2 + h + 23. Is l(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.1. Suppose -17145 = -8*d + 53*d. Let j = 763\/2 + d. Which is the closest to y? (a) 3\/5 (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4904 divide 209624357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-31 - -32 - 19) - (-107 + 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 1158016.\nAnswer: 3474048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 8070?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-169)*(-3237)\/2573\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llltllltllllllllllll. Give prob of sequence ll.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100111111000000011100?\nAnswer: 100111111000000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*sqrt(76)\/(sqrt(4) - sqrt(16)).\nAnswer: -5*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*k + 26, 0 = 5*r - 4*k + 3*k - 28. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 424230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, m + 50 = 6*m - 4*d. Suppose f - m = 20. What is the tens digit of (16\/(-10) + 2)*f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05201791 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67307.26 tonnes in kilograms?\nAnswer: 67307260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:10 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122238 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 7, -83 in decreasing order.\nAnswer: 7, 0.3, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwa when three letters picked without replacement from {w: 6, a: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4)*4\/4*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 413, 924, 1759, 2906, 4353, 6088, 8099?\n\"Answer: -2*p**3 + 174*p**2 + 3*p + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let l(q) be the third derivative of 2*q**7\/45 - 7*q**4\/2 - 25*q**2 - 2*q. Let t(p) be the second derivative of l(p). What is m(t(c))?\nAnswer: -224*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - (-630)\/(-42))*(0 + (-1)\/(-1)). Let s(t) = -1 + 4*t**3 + 2*t - 2*t**3 + 2*t + 5*t**2. Calculate s(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 1. Let t = 0 + -5. Let h = 6 + t. Does 5 divide u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = -a + 4*k, 2*k = -4*a - 2. Let q = -3889 - -19447\/5. What is the nearest to q in a, -2, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1486881 * -52\nAnswer: 77317812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + 4*s - 5. Let a(g) = -14*g**3 + 11*g - 14. Determine 3*a(j) - 8*n(j).\nAnswer: -2*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 6:57 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from gyngffjfgygjnfjgny?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-20)\/(-24)*15\/275?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1004004 (base 9) to base 4\nAnswer: -2002131121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/30 + 2*w**4\/9 + 9*w. Let n(k) = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asatataatt. What is prob of picking 1 t and 1 s?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 296\/10 + (-10)\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36820 divided by 4?\nAnswer: -9205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q + 6*p = 53*q - 21, 2*q - p = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3087, 6047, 9007?\n\"Answer: 2960*s + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/10, -0.1, 11.4, 3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -402 times 0.192269\nAnswer: -77.292138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 25*p + 10440. Suppose -5*d = f - p, 2*f - 241 = -d - 0*d. List the prime factors of d.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 39*n + 2390. Suppose -2*q = -48 - 72. Calculate the remainder when q is divided by m(-61).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - 1. Let r be x(-4). Let s = 32\/1533 + -2\/1095. Which is bigger: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5752 - -51.\nAnswer: -5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.0000079 - -60. What is h rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15804 * 0.41.\nAnswer: -0.0647964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g, 4*h + 2*g = -2 + 4. Is 10 a factor of h\/(-3)*-27 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4153465.562 to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432844.\nAnswer: 2, 108211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 13434\/1932 + (-210)\/980?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(800) + -3 + sqrt(200) + (sqrt(128) + 0 - (-1 + sqrt(800) + sqrt(8))))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 2*p**2 + 4*p + 4. Let y be 10*4\/160*(-4)\/(-2). Let v(f) be the first derivative of -2 - f + 1\/4*f**4 - y*f**2 + 0*f**3. Give d(x) + 4*v(x).\nAnswer: 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*m**6 - 2*m**4 - 19*m**2?\nAnswer: 4920*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*p - 114. Let t = -7 + 9. Let n be (t\/6)\/((-1)\/(-114)). What is the highest common factor of p and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 3*q - 2. Let m(i) = -i**2 - i + 1. What is 5*m(w) + 2*v(w)?\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 + 4*k**2 - 2*k + 4. Let w be u(3). Let p = w + 126. What is the highest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*u - 30*u + 57*u - 39 - 158*u**2 + 32 wrt u?\nAnswer: -316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 1057 = -479. Let x be (-20)\/4*i\/(-60). Suppose 5*k = 2*h - 71, 2*k - 38 = -h - 16. What is the highest common divisor of h and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 p when four letters picked without replacement from uaiappuitpasss?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.3 (b) 0.1 (c) -0.5 (d) -1282\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 - 5.3. Let h = -4.9 + 0.9. Let s = 1 - h. What is the nearest to 1\/3 in r, -4, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0. Let q be (-4)\/(8\/(-10)) - 1. What is the closest to v in q, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 18*z - 27. Let q be n(16). Suppose 4*s = q*p - 10*p + 131, -5*s + 2*p + 172 = 0. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3102454591.\nAnswer: 317, 9786923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 28*f**2 - 28*f + 47. What is the first derivative of m(z) wrt z?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-9))**(-19\/4)\/((i\/(i*(i\/(i*i**(-21)))\/i))\/i**(-1\/10)))**(-3\/41) assuming i is positive.\nAnswer: i**(1941\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65249592 is divided by 265?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 733 + -391. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-4)\/15)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5591798 + 2041796. Let b be h\/(-10) - 22\/110. Round b to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**7\/336 - w**6\/40 - 13*w**5\/160 - w**4\/8 - w**3\/12 + 8*w. Factor s(x).\nAnswer: -x*(x + 1)**2*(x + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/(-8)*54\/81. Is (5\/k)\/((-13)\/54301) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 3*q)*(752 + 8980 + 1189371*q - 1189368*q - 916).\nAnswer: 6*q**2 + 17632*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 43*u + 4791. What is b(94)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 + 2.5. Which is the second biggest value? (a) 2 (b) i (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -12640*g + 492954. Calculate d(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let k(o) = -8*o - 18. What is k(w(a))?\nAnswer: 8*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397*t**2 - 274*t**2 + 231*t**2 + t**3 - 19*t**5 wrt t?\nAnswer: -1140*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*x - 14 - 6 = 0, 20 = -5*x. Suppose h*n - 25 - 217 = -r, -2*r + 477 = n. Is (-2)\/9 + r\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676995*c + 3 - 674162*c - 3.\nAnswer: 2833*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyeeyeelyeeylel. What is prob of picking 1 l and 1 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/5, -0.2, -0.3, 4\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(15\/(-120)*512\/(-80))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 7) to base 8\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177 and 16402?\nAnswer: 49206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*j - 35 = 0, -4*n - 8 = 5*j + 11. Let g be (-2)\/8 - 38\/8. Sort 0, n, g in descending order.\nAnswer: 0, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12021 (base 3) in base 9?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3 + (2 - 3 + 3)*(-4 + 2 + 4) + (-2 + 1 + 3)*(-3 + 8 + 0))*(0 + 0 + 2*w) to p + s*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 305.561 and 471646.962.\nAnswer: 471952.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times 5\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + -15. What is the remainder when 42 is divided by (-6)\/24 - f\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3667699 and 396508.\nAnswer: 14670796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 87 = 265. Suppose 18*x - f*x - 161 = 0. Calculate the remainder when 157 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 329, 2, -1\/3, 0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 411, 559, 583, 441, 91?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -b727 (base 12) to base 3\nAnswer: -1000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 85. Let c = m + 27. Let l = 19.999983 + c. Round l to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193039237 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 126.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -329 + 15?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2464 and -3\/83572.\nAnswer: 51480352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 6734*w**2 - 120996*w.\nAnswer: -2*w*(w + 18)*(w + 10083)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w*w**(-16))*w)*w**10)\/(w\/w**(4\/3)*w*w)**24 assuming w is positive.\nAnswer: w**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 minus -36.13635?\nAnswer: -89.86365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, -2260331 in increasing order.\nAnswer: -2260331, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127245406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/2 + 599*t**3 + 4775*t**2\/2 - 599*t - 2388 = 0. Calculate t.\nAnswer: -1194, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 636104925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 585\/11, -50.51, 1\/3, 3, 4 in decreasing order.\nAnswer: 585\/11, 4, 3, 1\/3, -50.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 101*p**2 + 39*p + 197. What are the prime factors of h(-45)?\nAnswer: 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-16))\/((-2)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-7304)\/132. Let b = -251\/3 + x. Let v = 0.27 + 0.03. What is the nearest to 0.1 in -4, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92, 96, 102, 110, 120?\n\"Answer: g**2 + g + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**15\/(u\/(u\/((u*(u\/((((u\/u**(1\/2))\/u)\/u)\/u*u))\/u)\/u)))**(34\/7)*((u**0*u)\/(u\/(u*u**6)))\/(u**4\/(u*(u**6*u)\/u)) assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 285.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.32 - -3.32. What is the smallest value in p, 3\/14, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + q)*(11 + 7*q - 11).\nAnswer: 7*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-95))\/((-2)\/(-19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*h + 16, -5*r - 1 = -r - 5*h. Suppose k - r*k = -2700. Round k to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -89, -107, -125, -143?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 7282*r + 4530768. What is a(687)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400481551?\nAnswer: 137, 269, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**22)\/f**(-30))**(-37) assuming f is positive.\nAnswer: f**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45589692, -45589687, -45589682?\nAnswer: -45589677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 - 284. Let k = r - -181. Let w(b) = 99 - k + 3*b + 0*b. Let f(q) = -4*q. What is f(w(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 2}. What is prob of sequence vkvk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 2\/17, 5, -11, 1795?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 6*v**2 + 22*v - 3853. Calculate o(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2969880.9 months to centuries.\nAnswer: 2474.90075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/5 + 420676*f**3\/5 + 252408*f**2 + 1262044*f\/5 + 420682\/5.\nAnswer: -2*(f - 210341)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008153816 to seven dps.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r = 0. Let j = 1 - r. Let g(m) = m**2 - j + 5 - 46*m + m**3 + 43*m. Calculate g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 56*v - 84*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.489 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2688148 (base 10) to base 16\nAnswer: 290494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 3*i**2 - 9 - 18*i**3 + 0*i**2 - 6*i**2. List the prime factors of o(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699, -705, -699, -669, -603?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2034*j**3 - 5*j + 3. Let y be t(1). Suppose -3*f + y + 1234 = c, -2160 = -2*f - 5*c. What are the prime factors of f?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 9*w**2 + 15*w - 13. What are the prime factors of o(5)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t*t**(-2\/13)))*t*t*t*t**(5\/2))\/(((t**0\/t)\/t)\/(t\/(t*t**(-3\/4)\/t*t))))**(-31) assuming t is positive.\nAnswer: t**(-16275\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdkddddkddkkd. Give prob of picking 3 k.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3\/7 (c) -7 (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15604230 - -12?\nAnswer: -15604217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*r - 12*r - 20*r)*(2*r**4 + r**2 - r**2).\nAnswer: 30*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 27*o = -26*o + 776, -m + 3*o = -782. Is m a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20891 and 13132?\nAnswer: 274340612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, n: 6, u: 2, k: 1, e: 5}. What is prob of sequence eu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 387, 932, 1737, 2826?\nAnswer: 4223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.133 + -1050.83065.\nAnswer: -1050.69765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 2. Let x = -10 - 4. Let d = o - x. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7279111 is divided by 1819775.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Suppose -t*b - 2*p + 168 = 0, b + 4*p = 52 - 17. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/60 + 5*h**4\/8 + 11*h**3\/3 + 317*h**2. Calculate q(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 118*y - 6. Let k(l) = -52*l - 2. Determine d(k(i)).\nAnswer: -6136*i - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 33. Is q at least -3\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -4*p + 50 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3.02. Let u = -4.88 - -5.3. Let z = u + n. What is the third biggest value in z, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 3, c: 3, b: 2, g: 1}. What is prob of picking 2 w and 1 c?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -11. Suppose -y = w - 38. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 459*f + 23433. What is y(-43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3 - 3*z**2\/2 + 2*z + 137. Let c(v) = 10*v**2 + 9*v - 7. Calculate -2*c(t) - 7*h(t).\nAnswer: t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 3*s**2 - 5*s - 1. Let j be y(-4). Let p be 30\/2*1\/j. Put 0, 4, p in ascending order.\nAnswer: 0, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + -2)*((-93)\/(-6) - 4). Is f > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:04 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165560, 165354, 165148?\nAnswer: 164942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpgdz. What is prob of sequence gz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 2*l**2 + 0 - 5*l - 3\/4*l**4 + l**3. What is the units digit of o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -341*m - m**5 + 155*m**2 + 121 + 143*m**2 + 411*m**3 - 469*m**3 - 19*m**4.\nAnswer: -(m - 1)**3*(m + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s + 4*s. Solve -4*h + h - 6 = s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -187, -592, -1215, -2056, -3115?\n\"Answer: -109*s**2 - 78*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -34806774?\nAnswer: 174033870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -20701884 = -20701885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjjnjttjt. Give prob of picking 2 t and 1 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 7*u - 4. Let d(c) = c**3 - 14*c**2 + 16*c - 31. Let m be d(13). Give r(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*y + 3*y = -12, -5*c = 3*y + 4. Suppose -4*p = -8*p + 16. Is (p + -5)\/(2*c\/(-2062)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 381409882 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 + 10*c + 38. What is j(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 2, y: 2, f: 1, k: 1, a: 1}. Give prob of sequence yofa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aex when three letters picked without replacement from {w: 7, v: 2, x: 1, a: 2, e: 1, u: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489334 is divided by 308.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 3\/4*i**4 + 0*i**3 + 0*i**5 - 1\/4*i**6 - 2 + 0*i - 3\/4*i**2. Let c(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -277, -412, -545, -676?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 1. Let o = 1 + c. Let g(x) = x - 2. Let n(d) = 1. Determine o*g(w) - 6*n(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3*d + 177*d - 9*d)*(2*d**2 + 3*d**2 - 4*d**2).\nAnswer: -342*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + 0*o)*(3 - 4 + 2)*(715 + 733 - 1432)*(2*o + o + o**3 - o).\nAnswer: -32*o**4 - 64*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 625*j + 6*j**2 + 3*j**2 - 626*j + 1 to t*j + v + c*j**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*x**2 - 81*x**2 - 110*x**2.\nAnswer: -443*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 21*k + 17. Let a(g) = -7*g - 6. Let n(l) = 11*a(l) + 4*j(l). Let r be n(4). Solve z = 4*p - 15, -2*z = 2*p + 10 - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {x: 2, m: 8, q: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -52. Suppose -4*b + 11 + 12 = -3*i, -b = 3*i + 13. What is the second smallest value in -2, v, b, 2\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*h - 3*r = -1219*h - 23, -2*r = -2*h - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5220\/420 - (1 - -10))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100566 divided by 6.\nAnswer: -16761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -44. Solve -j = q - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1141010 (base 6) to base 7.\nAnswer: -336312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -914 - -1801\/2. Is 2\/9 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18930*o**3 + 1591*o**2 - 1591*o**2 - 4831*o**3.\nAnswer: -23761*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 242103 and 11.\nAnswer: 2663133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18120156?\nAnswer: 2, 3, 1510013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((1197\/(-14))\/19).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2. Suppose -14 = -n - 3*k, 2*n + 2*n + k - 12 = 0. Let t = 116 + -30. Let u(h) = t + n*h - 86. Calculate x(u(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 403, 986, 1937, 3334, 5255, 7778?\nAnswer: 10981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -53928, -113664, -173400, -233136, -292872?\n\"Answer: -59736*c + 5808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v - 3*j - 21 = -47*v, -j - 18 = -5*v. Solve v*k - 29 = 4*p, -2*k + 39 = -p + 28 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k. Let x(t) be the first derivative of 0*t**2 - 1\/2*t**3 + 7*t + 12. Let l(y) be the first derivative of x(y). Give l(h(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.003, 4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -97.76 + -0.4\nAnswer: -98.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1395645474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l + 3. Let s(u) = -7*u - 1. Let h(d) = -12*s(d) - 5*t(d). Is h(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 7767, 1, 0.5, 6\/13, -98 in ascending order.\nAnswer: -98, 2\/13, 6\/13, 0.5, 1, 7767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*3 + sqrt(4)\/sqrt(2) + 5.\nAnswer: 5 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/3 (b) 1 (c) -6 (d) 2\/5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-1 - 3) + 1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m = 60. Let k(a) = -a**2 - 7*a - 2. Let w be k(-6). Suppose -36 = -w*c + m. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 0 (c) 35\/17 (d) 22.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 73*n + 797. Give g(-9).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232629 = -v + 3*i + 176467, -4*v = -5*i - 1636391. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 = 3*m - 6, -4*m = -3*x - 8. Suppose x = i - r + 2 - 8, 5 = -5*r. Solve -s + 11 = 3*d, -4*s + i*d - 25 = -9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41904694 and 1808.\nAnswer: 335237552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3249 and 1881.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1. Let k(u) = -2*u - 10. Let b(q) = -2*k(q) + 20*o(q). Let a(h) = -h. Calculate b(a(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -127841 = -127957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (52 + -47)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14144 by -884.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182.7 - -197. Round n to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 866?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 91, 2\/13, 1255, 2 in decreasing order.\nAnswer: 1255, 91, 2, 1\/4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -43ff (base 16) to base 12\nAnswer: -a0a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 13*f + 37*f - 10*f - 3 = -2*g, f = 423*g + 1278 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 40*b**2 - 180*b - 2. Determine q(3).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28050 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2 - 24. Let x = d - 11. Let k be 3\/7*((-55)\/11)\/(-5). What is the fourth biggest value in k, -1, -7, x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*n + 216*n + 71131 = -8333. What is the highest common factor of n and 37268?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 a factor of 56924669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m = 33*m - 16*c + 284, 12*m - 7*c + 3*c + 32 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 2 - (1 - -1). Suppose -19 = -y + 5*b, 3*b = -y + 3 - w. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*t - 73692, 8*n + 2*t - 36846 = 6*n. Is n a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.23, -0.4, -15\/7, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6298, 6587, 6858, 7111, 7346?\n\"Answer: -9*r**2 + 316*r + 5991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 69 - 5. Suppose -x + d = x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213708*r*t**3 - 500*r*t**2 - 78*r wrt t.\nAnswer: 1282248*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 + 0 - (97 + -102)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 444 + -441. Suppose 2*h - 6 = -2. What is the third derivative of 2*d**2 + a*d**h - 2*d**3 - 4*d**3 + d**2 wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1360 and 133104?\nAnswer: 11313840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5600 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1559488 by 224.\nAnswer: -6962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfquxqqg. Give prob of sequence uq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058659072 times 0.2?\nAnswer: 0.0117318144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 bigger than 1127858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.074 - 0.026. What is the closest to 2\/9 in n, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - -9. Let d = 55 - l. Is ((1 - d) + 2)\/(16\/4688) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14066, 0.03, 0.27?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 - 13*m**2 + 214*m + 6. Calculate t(-9).\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-2*4\/224*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1216 greater than or equal to -70513\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*b = -15, 3*b - 29 = 823*d - 827*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 330, 1217, 2694, 4761, 7418, 10665?\nAnswer: 14502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - y)*(0*y**2 + 0*y**3 - 10*y**2 + y**3)*(-6 + 3 + 0) in the form j + i*y**4 + b*y**3 + u*y + v*y**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from ukkickiumk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -98*d**2. Let s(m) = 1. Let j(l) = 53*l - 12. Let h(r) = -j(r) - 3*s(r). Let b(w) = -12*w + 2. Let p(t) = 9*b(t) - 2*h(t). Calculate u(p(q)).\nAnswer: -392*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 554307 - 2650541?\nAnswer: -2096234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k = -33*k - 65. Sort 3, 1, k, -40 in ascending order.\nAnswer: -40, 1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4880 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - ((5 - -1) + (-12 - 5) + 14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -4 (b) -4\/3 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56\/177, -0.21, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17\/(i**13\/i)*i**(9\/5)\/i**(2\/5) assuming i is positive.\nAnswer: i**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31561 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76.32 - 80.94. Is -1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8708*x**6 - 720*x**2 + 162 wrt x.\nAnswer: -1044960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 3:14 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1178049\/7 or -168293?\nAnswer: -1178049\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122640.\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/5)\/((-1)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-8)\/10*2\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1330 and 8873?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 2*i**2 - i**2 + (-9*i + 9*i - 19*i)*(-13*i - 4*i - 5*i).\nAnswer: 419*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*a - 57*a - 3243 - 226 - 9203 = 0 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 - 2531*i - 2564*i - 2555*i - 588 + 7650*i + 588.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -20, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 9*f - 391. Give n(10).\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1003 + -989 - (21 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from vzrzhzzrhzvv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 91 = p, -2*p = i - 0*p + 37. Let v = i - -32. Suppose 4*w + v*h + 520 = 6*w, 2*h + 1032 = 4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1242 + -1241. What is the third biggest value in 0.1, -4, k, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a**(1\/16)*a)*a*a**12\/a*a*(a*a**5*a)**(11\/7))**6)**3 assuming a is positive.\nAnswer: a**(3735\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + d + 4 = 0, 48*k - 46*k + 2 = d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0.06444\nAnswer: -3.93556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 5. Let g = 0 - u. Calculate the remainder when 26 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 33*m**2 + 30*m - 90. Determine n(-34).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {a: 1, h: 1, y: 4, b: 4, c: 1, l: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125\/11 in -3, -5, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -93, -174, -271, -390, -537?\n\"Answer: -h**3 + h**2 - 67*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 613*x - 614*x + 8896. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b - 2*b)*(b - 4*b + 5*b) - 11 - 12*b**3 - 6 + 18.\nAnswer: -14*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12909 + -12881. Solve -j*b = -43*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((24\/8)\/(-6))\/((-2)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 13*o**2 + o + 17. Let s be h(13). Let y be (s\/12)\/(2\/4). Put -5, 0, y in descending order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 - 105*j*n + 20*n + 11 wrt j.\nAnswer: 6*j**2 - 105*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c4 (base 16) in base 2?\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5292?\nAnswer: -5292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10.5. Let d = -0.4 - y. What is the nearest to -0.1 in -1\/2, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -215?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -870*n + 531085. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 4, c: 1, p: 1}. Give prob of sequence tcvp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*w + 10. Let z = 5 - w. Calculate the remainder when 3 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -35. Calculate the least common multiple of 11 and i.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*q + 136. Suppose q = -7*t - 43. Is 1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6244.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11082 + -22349?\nAnswer: -33431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a - 20. Let i be (1 - 2)\/1 - -1. What is the remainder when a is divided by i - (-6 - (-2 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -4429.\nAnswer: 3\/4429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 4*c - 0*c - 15, 4*k + 149 + 144 - 320 = 5*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.79979851 rounded to two decimal places?\nAnswer: 33.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * 8.334386.\nAnswer: 283.369124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 5969*v + 83938. Give u(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*m + 3*b**2 - 31*b - 7959*m with respect to b.\nAnswer: -2*b*m + 6*b - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.067 + -5.867. Let d = -4.8 - u. Let z be (2\/4)\/1*-18. Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207893.1 to the nearest 1000.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2650)\/1060)\/((-1)\/8)*18\/16*4.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 16453*k**3 - 90222765*k**2 + 164836947775*k + 330034918250.\nAnswer: -(k - 5485)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.72 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 151691710*t. Let r(j) = -j**2. Determine r(d(x)).\nAnswer: -23010374882724100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -51. Let i = -18 - -26. Let s = -4 + i. Which is the biggest value? (a) p (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6519 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 689865 by 165.\nAnswer: 4181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1084 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 3*i**2 - i - 3. Let n = -15436 + 15433. What is b(n)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 57782 = 22*p - 25*i, -i - 2633 = -p. Calculate the highest common divisor of p and 945.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8596 rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4379377071 rounded to four decimal places?\nAnswer: -0.4379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 25. Let g = 14.3 + q. Let j = 2.3 - g. Which is the second smallest value? (a) -1 (b) 1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(12\/(-12)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (34656\/36)\/((-4)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -178*f**2\/5 + 602*f\/5 + 156.\nAnswer: -2*(f + 1)*(89*f - 390)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5540511526 and 12?\nAnswer: 5540511514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 27 - 85 - 20*k**2 - 58.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 9. What is the remainder when 42 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.85833ml to litres.\nAnswer: 0.08985833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*t**6 + 75*t**4 + 11*t**2 + 6093 wrt t.\nAnswer: 10440*t**3 + 1800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-3)\/(-2)). Suppose 2*d - 8 = 4*d. What is the nearest to u in d, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -48. Suppose -9 = -z*n + 3. Suppose -4*i + 3*l + 444 = 0, -6 = -n*l - 14. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 - 1068?\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/3, 1.75 in decreasing order.\nAnswer: 7, 1.75, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 427630 plus -0.08?\nAnswer: 427629.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1608 and 127\/64320.\nAnswer: 64320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, 4, -5 in descending order.\nAnswer: 269, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-6)*-1 + (-893)\/(-282) + -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-138)\/161)\/((-6)\/28). Solve 241*c - 242*c - 18 = -4*x, 0 = -i*x + 4*c + 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*m = -17*m + 113*m. Let y(j) be the second derivative of -9\/2*j**3 + 5\/6*j**4 + 0 + m*j**2 - 7*j. Find the second derivative of y(t) wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -12 + -6 + -1 + 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*-191936.\nAnswer: 7869376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbnb when four letters picked without replacement from {c: 2, n: 2, b: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + f + 7. Let h(s) = s**2 - s. Let y(q) = h(q) - r(q). Let x(t) = -3*t**2 + 3*t + 7. Let a(m) = 3*x(m) + 2*y(m). Determine a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4645891*o**3 + 3149477 wrt o.\nAnswer: 13937673*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 63. Solve -2*w + 3*w = -k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4\/3 (b) 83 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78478 + 1?\nAnswer: -78477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4319 and 5901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*g + 13 = -g, -5*b = -4*g - 61. Is b less than 44\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 445 + 451 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 2\/(9\/6 - 2). Suppose 0 = -4*n - 5*k + 15, 9 = v*k. Let i(b) = -b**3 - b - 1. Determine i(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 + 17142*t**2\/7.\nAnswer: -3*t**2*(t - 5714)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -23*r**3 + 9*r**2 + 9*r + 9. Let q(k) = 11*k**3 - 4*k**2 - 4*k - 4. Let i be (28 - 27)\/((-2)\/18). Calculate i*q(l) - 4*j(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 3*t + 9. Let b be s(-4). Let p(g) = -g**3 - 11*g**2. Let v be p(b). Solve -4 = -v*k + 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5703 divide 4255194087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.50354 and 3.\nAnswer: -37.51062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8655 and -71?\nAnswer: 614505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -1\/6*r**3 - 6 - 1\/8*r**4 - 1\/120*r**6 - 3\/2*r**2 - 1\/20*r**5 + 0*r. Let s(x) be the second derivative of f(x). Factor s(k).\nAnswer: -(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.044 and 0.4.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(176) - (2 + (sqrt(176)*2 - sqrt(176)))) + -1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 - c + c)*(-196 + 196 - 189*c) + 2*c**4 - c**4 - 3*c**4 + (-3*c + 4*c**2 + 3*c)*(0 + 0 + c**2) as s + w*c + h*c**2 + j*c**3 + k*c**4 and give k.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/30 - -6 - 68\/102)*1.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/10 - j**5\/30 - j**3\/3 - 13*j**2 - j. Find the third derivative of d(i) wrt i.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 88. Let p be 75\/(-18) - 6\/y - -5. Factor 0*i + 0 - 3\/2*i**3 - 3\/2*i**2 + 3\/2*i**4 + p*i**5.\nAnswer: 3*i**2*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -1\/36*c**4 - 1\/90*c**6 + 0*c**2 + 0 + 10*c + 1\/30*c**5 + 0*c**3. Solve s(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 5*v. Calculate the remainder when k(-5) is divided by (-15)\/(-6)*(-2548)\/(-245).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1024867310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24062210 and 82.\nAnswer: 986550610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4924 + -4923.9969889. What is c rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 30 - 111. Calculate the least common multiple of 4\/(-8)*-12 - 6\/(-1) and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*m - 1, -3*m = 4*o - 6*m - 1. Let l be (o - (-20)\/(-4))\/(-18). Let p = -2 - -2.5. Which is the nearest to 1? (a) l (b) 3\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 32 - 32. Let w(f) = 3*f**2. What is w(o(g))?\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13005, 12823, 12523, 12105?\n\"Answer: -59*c**2 - 5*c + 13069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6099 is divided by 3035?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41143110*j**5 - 89497*j**2 + 83*j wrt j.\nAnswer: 2468586600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 95 = 2*w. Suppose w - 31 = 4*h. What is the remainder when 15 is divided by (h + 4)\/((-2)\/(-18) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:36 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 789511 less than -8\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Put 3, -91, 5, 1, -3, 3212, -4 in decreasing order.\nAnswer: 3212, 5, 3, 1, -3, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666544479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:28 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2628230 or 7884692\/3?\nAnswer: 7884692\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 46 = 4*d. Suppose 4*z + 4*c + 5 = 3*c, -2 = d*c. What is the tens digit of ((-40)\/5)\/(z - (-82)\/86)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1056681 greater than -1056680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 31*n + 11 - 33*n + 8. Calculate v(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*n - 5 = 0, -i + 12 = 5*n + 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 4*r**3 - 2*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {i: 1, r: 1, g: 9, q: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u. Let o be a(4). Let b be (-1)\/4 + (-90)\/o. Let z(n) = 2*n + 1. Let h be (-2)\/((-2)\/(-6) + -1). Let t(k) = -k - 1. Calculate b*z(c) + h*t(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.4 (c) -5 (d) 1.76 (e) -337.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 22*i. Let m(p) = 17*p + 104. Let t be m(-6). Let g(q) = 1405 - 3*q**t - 1405. What is a(g(n))?\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 8*f - f + 7*f + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22854*u + 22841*u - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(10\/7)\/u))\/(u*u**(6\/13)) assuming u is positive.\nAnswer: u**(-81\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 3, h: 9, q: 2, z: 3}. What is prob of picking 3 k and 1 z?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imem when four letters picked without replacement from yynniemnymnnmenmmm.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40537180897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 14) + 4*1. Let q(t) = 9*t + 6. Give q(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1066, 1, -5, 5, -2, 0 in increasing order.\nAnswer: -1066, -5, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let v(h) = -12*h. Suppose 4*d + 16 = -2*c, 5*d - 4*d = 2*c - 4. Determine d*p(i) - v(i).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5))**(-3\/2)*(w\/w**(2\/7))\/(w\/(w\/(w\/w**(2\/27)))) assuming w is positive.\nAnswer: w**(-967\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 1 (c) -3\/4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 1482.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042649 rounded to 3 decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -7*t**6\/8 + 91*t**4\/24 + 506*t**2. Let l(g) = -7*g**3 + 6*g. Give -91*l(a) + 6*p(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*(-225)\/(-90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.816 (b) 22 (c) 0.2 (d) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 5\/3 (c) 3\/4 (d) 66\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f**2 + 885*f - 9. Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(160\/(-576)) + -6 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(20\/3)*f)\/(f*(f**(1\/18)*f)\/f) assuming f is positive.\nAnswer: f**(119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-30)*(-4 + -2). Suppose -2 = c*z + 10. Sort z, 5, 4, -1 in increasing order.\nAnswer: z, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:30 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*o = -294*o. Suppose -5*q + 9*q - 244 = o. Suppose -56*w = -q*w + 1100. Does 55 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44155*j**3 - 1432*j**2 - 391578*j - 319 wrt j?\nAnswer: -264930*j - 2864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t = 74*t + 273 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(7\/2)*y**(-3)\/y*y*y\/(y*y**(1\/10))*y\/(y\/(y\/y**(-1\/8))))**(-42))**45 assuming y is positive.\nAnswer: y**(-11529\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44 and -85.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2306, -4395, -6484, -8573?\nAnswer: -10662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 2 t when four letters picked without replacement from {s: 1, l: 3, t: 2, n: 3, u: 2, g: 3}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/11, -22\/5, -3 in ascending order.\nAnswer: -5, -22\/5, -3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85300311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 13*j**3\/3 + 3*j**2 - 4*j. Let c be ((-18)\/(-3) - 3)\/3. Is 16 a factor of a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -911, -1388, -1867?\nAnswer: -2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32724?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*g - 214 = 0, -5*u + g - 351 = -0*g. Is u not equal to -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 207?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:38 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 25 = -7. Factor -x*h**2 + 4*h - 4*h - 2*h**3 + 8 + 4*h**3.\nAnswer: 2*(h - 2)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11151*b**3 - 5*b**2 - 5*b - 5. Let g(v) = 16727*v**3 + 8*v**2 + 8*v + 8. Calculate -5*g(s) - 8*o(s).\nAnswer: 5573*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2325, 4, -1 in ascending order.\nAnswer: -1, -0.1, 4, 2325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.328737 millilitres to litres.\nAnswer: 0.001328737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 1, g: 4, a: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10064 and -103\/666?\nAnswer: 90576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23622333353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -103. Sort 1\/13, -1\/5, 3, h in descending order.\nAnswer: 3, h, 1\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2012\/(-276)*153\/102 - -11.\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101010011101 + 0?\nAnswer: -10011101010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 15 + 10 + 5. Let a(h) = -11*h**2 - 9*h + 9. Let f(v) = -5*v**2 - 4*v + 4. Let l(u) = -4*a(u) + 9*f(u). Calculate l(q(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5086 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67928918 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(8\/(-24)) - -7. Let f(r) = 52*r**3 - 4*r**2 - 16*r + 8. Let j be f(i). Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19678, -17555, -11822, -673, 17698, 45097?\n\"Answer: 301*c**3 - c**2 + 19*c - 19997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3538?\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 2*f - 5. Let g be d(4). Suppose -k + 3*w = -13, k + 0*k + g*w + 11 = 0. Let p be (k\/5)\/(4\/20). Put -1, -5, p in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - c + 10. Let f be m(0). Let z be 15\/f*10\/3. Suppose -z*x + 4*x = -21. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 2\/9 (c) 1593.6 (d) 63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1720 = -k - 7*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 0.0541.\nAnswer: 0.4869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(75\/9))\/((-90)\/(-400)*4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 1. Let d be f(3). Is (106\/3)\/(d\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3350 in 5, 7, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/28*3\/(-12).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142096 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-166)\/(-348))\/(14\/(-21)). Let x = 1\/29 - j. Let -x*s**3 + s**2 + s + 0 = 0. Calculate s.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 38.327\nAnswer: -191.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241910 and 212160?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 774 - 621 = 0. What is the highest common divisor of 629 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4110)\/2466)\/((2\/3)\/(-1))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 4*k + 34, 28*k - 22 = 61*k - 30*k - 4*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4116424 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71390157?\nAnswer: 3, 17, 97, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnn when three letters picked without replacement from {n: 5, a: 1, t: 2, q: 1, v: 2, j: 2}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0, 5, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**6\/36 + 2*c**5\/5 + 35*c**4\/24 + 4*c**3\/3 - 1976. Factor o(s).\nAnswer: s**2*(s + 1)*(s + 3)*(s + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/8 - 272019*j\/4 = 0. Calculate j.\nAnswer: 0, 544038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246265278?\nAnswer: 2, 3, 7, 23, 79, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011101110011101 (base 2) in base 5?\nAnswer: 21212401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 4*z**2 + 18*z + 19. Let m be f(-6). Let y = -15 - m. Calculate the lowest common multiple of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1324368 and -71\/16848?\nAnswer: 154951056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 10*s + 2. Let q(h) = 8*h**2 - 29*h + 5. Let a(g) = -4*q(g) + 11*v(g). Let x be a(-6). What are the prime factors of 0 - x - 144\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -2. What is the greatest common factor of 52 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8532 (base 10) in base 14?\nAnswer: -3176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 44. Let g be (-35)\/14*(-8 + 3 + 3). Solve 4*c = -0*c + 5*b - 3, -c = g*b - w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-12)*30\/(-40)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 246 or 245?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + j**2)*(-4*j**2 + j**2 + 0*j**2) + 0*j**4 - j**4 - 4*j**4 in the form s*j**2 + m*j**3 + z + x*j**4 + w*j and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + x = -5*i + 81, -3 = 3*x - i + 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from ppvvpvvwptpnp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(1 - -1)*420 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -61*r - 15. Let c be j(5). Let z = c + 324. Solve -4*i = 2*o - 6*o - 16, z*i = -o + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018288083 less than 0.11?\nAnswer: 0.091711917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u = 20. Suppose 5*o - 189 = 3*c, -2*o - u*c + 70 = -8*c. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1428 and 9588.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -363, -806, -1427, -2226, -3203?\nAnswer: -4358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**6\/5 + 4*k**5\/25 + k**4\/10 + 88. Find v such that m(v) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 3)*(h - 2*h - h)*(4 - 2 + 0)*(86*h - 188*h - 77*h)*(-4*h**3 + 0*h**3 + 5*h**3).\nAnswer: -3580*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 3\/36*-62. Let u = -161\/30 + h. Let k = 10\/83 - 196\/249. Which is the closest to -1\/3? (a) k (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 182, 739, 1542, 2591, 3886?\n\"Answer: 123*f**2 + 188*f - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13860 and 7185276?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**7\/42 - o**5\/10 + o**3\/6 + 10*o. Find z such that n(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72a + -179?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1175744 millilitres to litres.\nAnswer: 0.0001175744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55640967, 55640969, 55640971, 55640973, 55640975, 55640977?\nAnswer: 55640979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1\/2. Which is the smallest value? (a) 2\/5 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163114891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 13813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4170 - -2710. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 + -0.06. Which is the biggest value? (a) 15 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q + 31. Suppose -10 - 14 = 4*z. Let m be l(z). Suppose -m*d + 62*d = -60. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 153863220.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-127)\/(3556\/840)*(2\/(-5))\/((-172)\/(-215))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t + 3. Determine v(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40162192.5 rounded to the nearest 10000?\nAnswer: -40160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 71040 and 71039 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3\/8, 8.8, -54, -5, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-399855)\/39284)\/(19\/(-12))?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/4 + 97*z**3\/4 + 101*z**2\/2 - 97*z - 198.\nAnswer: -(z - 99)*(z - 2)*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-5)\/(-2)*(-48)\/(-40). Let y be ((-4)\/3)\/(r\/567). What is the highest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3 - -8) + (2 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -55, -97, -141, -187?\n\"Answer: -q**2 - 37*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/5741 <= -8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/((-378)\/140) - (3 + -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 6*q - 13. Let d be u(7). Let m be (216\/(-20))\/(d\/40). Let v be 16\/m - 64\/126. What is the second smallest value in 7, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*z + 38*z**2 + 26*z + 0*z**2 + 2*z**2 - z**2 + (2*z - 3*z + 3*z)*(0*z - 3*z + z) in the form a*z + k + h*z**2 and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 - ((-37 + 1 - -44) + -9).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5*w*w*w\/(w\/w**(-2\/3))*w)\/(w**(2\/7))**48 assuming w is positive.\nAnswer: w**(-113\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(6))\/sqrt(6) - sqrt(2)) + (sqrt(2) - (-4 + sqrt(32))) - (1*(sqrt(32) - sqrt(800))*-2)**2.\nAnswer: -2044 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2529.953 millilitres to litres.\nAnswer: 2.529953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 29*l**2 + 14*l + 15. Is d(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30142082 divided by -5?\nAnswer: 30142082\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17909 times -57\nAnswer: -1020813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 19 + -8 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 77133584*i\/3 + 743698722585632\/3.\nAnswer: 2*(i + 19283396)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9674 + -4.\nAnswer: -3.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:31 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1304+111760\nAnswer: 113064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - c + 18. Let m be b(0). Suppose 15*g + 21 = m*g. Solve g*n - 3*n + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -16. Suppose 2*o = o - p. Is o at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + 39. Let j be u(9). Solve 6 - 9 = j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 14, -20, 2\/73?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 47*p - 72 = 51*p, 3*p = 4*d - 65. Solve -d*y + 15 = -7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.72 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 2, o: 11, m: 1, q: 1}. Give prob of sequence cy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 0, 0.4 in descending order.\nAnswer: 0.4, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**23*b*b*b**(1\/32)*(b\/(b\/b**(11\/9)))**(1\/53) assuming b is positive.\nAnswer: b**(-289187\/15264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891688170 is divided by 1909.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64769*z - 64769*z - 5*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = k + 2, k + 4*k - 6 = -q. Let u = k + -1. Suppose u = 2*t - 0*t - 50. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*18\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 - -209. Put 3, d, 1 in increasing order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 3. Let a be b(-3). Let m be (-6)\/(-5)*1*(-7 + -3). Is a equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14087211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -22, -32, -42, -52, -62?\n\"Answer: -10*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 + 10062836*b**2\/9 + 12657583545362*b\/9.\nAnswer: 2*b*(b + 2515709)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29963735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2. Let a(h) = -495*h. Give o(a(p)).\nAnswer: -490050*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*q - 31 + 7, 3*q - 31 = 5*v. Let x be 4 - v\/((-15)\/(-6)). Let p(j) = 3*j**2 + 2*j + 1. Let f be p(-1). Solve 2*b = -f - x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 1. Let q(m) = m**3 + 17*m**2 + 60*m + 69. Let v(l) = 6*b(l) + 2*q(l). Solve v(r) = 0 for r.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18696\/(-2280) + (1 - (-11 - -1))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2583008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25865 + -1b9?\nAnswer: 25668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*u - 4*q + 17, -2*u = 6*q - 38. Solve -u*t = -t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -9. Is (-26)\/(-169) + 37\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z - 1. Let i be 3*(-15)\/(-9) - 3. Let k = -1 + i. Let c(q) = -q - 1. Determine k*t(y) - 2*c(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4090*w**5 - w**4 - 4*w**3 + 1163*w**2 + 501*w + 3 wrt w?\nAnswer: 245400*w**2 - 24*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48159864 and 930?\nAnswer: 240799320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 325 and 7?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 = 59*v - 66*v. Suppose -4*b = -12*b + v. Solve 2*t + 1 + 7 = 0, r + 5*t = -b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725 divided by -6273?\nAnswer: -575\/2091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.1, 0.12, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from akkrrrkututrrut?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 - 140. Does 37 divide (10\/4)\/(u\/(-148))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/600 + 3*u**4\/40 + 27*u**3\/20 - 45*u**2. Solve d(w) = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*j - 90, 3*b = 4*j - 2*j + 64. Which is smaller: 21 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1225216*r + 1225273*r - 3 + 19 in the form y + h*r and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(110)*1)\/sqrt(11)*-2)\/(sqrt(18)\/(4*sqrt(36)\/sqrt(4))) + -3.\nAnswer: -16*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + (sqrt(52) + sqrt(104)\/sqrt(2))*6)*-1)\/((sqrt(180)\/sqrt(5) - sqrt(4)) + 2*(sqrt(4) - sqrt(4)*-1)).\nAnswer: -13*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1.58, 28.7?\nAnswer: 28.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16833756721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (6 - (-2 - -2)). Suppose 4*s - 5*s + t*a = 0, -4*a = -4*s. Let i be (0\/5)\/(2 + s). Solve -2*v + 3*d - 12 = i, -1 = 4*v + 3*d + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63015 + -41?\nAnswer: 62644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -473*u**2 - 198*u - 17. Let d(o) = -158*o**2 - 67*o - 6. Let h(z) = -17*d(z) + 6*m(z). What is the second derivative of h(w) wrt w?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9707974 to 2 dps.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2757 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 515 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 712\/32 + 2\/(-8). Let x = y + -19. Solve 0 = x*q + 4 - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -155, -149, -139, -125, -107?\n\"Answer: 2*f**2 - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-three quarters of a year?\nAnswer: 219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + 59. Suppose -7*h + 12*h = c. Let j = 35 - h. Calculate the greatest common factor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461754318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3164 divide 1966698671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 - (-1 - (-4 + 0)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(6)*2 - sqrt(6))*3)\/sqrt(2))**2 + sqrt(15)\/(sqrt(5) - sqrt(25)\/(sqrt(5) + sqrt(5)*1))*-6.\nAnswer: 6*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 36. Let c be j(11). Suppose 0 = -5*n + c, -f - 3*n + 50 = -0*n. Let z = f - -15. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -18. Let u be 4\/w - 10\/55. Suppose u = -z, 5*z - 32 = -2*x + x. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*m - 3 = 0, 4*g = 4*m + m + 11. Let w be 3*(75\/g + -1). Calculate the highest common divisor of w and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = 3*a, a + 4*c + 28 = 3*a. Suppose 0 = -4*o + 4*z + 12, 4 = a*o - z + 1. Sort -4, 3, o in increasing order.\nAnswer: -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34621399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -22, -16, 4, 89 in decreasing order.\nAnswer: 89, 4, -16, -22, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -25*y**2 - 27*y - 18. Let w(k) = -14*k**2 - 14*k - 8. Give 3*p(b) - 7*w(b).\nAnswer: 23*b**2 + 17*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 0.8. Let n = -0.7 - l. Which is the nearest to 2? (a) 0.4 (b) n (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 227 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -893 + 2*o**2 + 1778 + 4*o**3 - 694.\nAnswer: 4*o**3 + 2*o**2 + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 11, -188, -477, -862, -1349, -1944?\nAnswer: -2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -71, -50, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 956, 5, 2\/3, 241\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4074?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + s = 1 + 1, 2*t + 2*s = -4. Suppose 0 = -g, -t*b + g = -3*g. Solve -5*d + 2*d + 4*y = -4, b = 3*d - y - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -315912, -1263638, -2843186, -5054562, -7897772, -11372822?\n\"Answer: -d**3 - 315905*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 at least as big as -441\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 14*o**2 - o - 6. Let q be y(-14). Let x be 11\/22*q*1. What is the units digit of (3 + -130 + -4 - x)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 173*g - 29820. Calculate p(171).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5203 by 11.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*a = -64*a + 6, -32 = 2*k + 2*a for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 666 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*f + 2*r + 3, 0 = 4*f + 4*r - 24. Solve -f*g - 2 - 10 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*i + 14, -i - 27 = 2*h - 7*h. Let v(q) be the third derivative of 0 - 1\/6*q**4 - 2*q**2 - 1\/6*q**3 + 0*q. What is v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20010202112 (base 3) to base 7.\nAnswer: -1012205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*u + 28 + 30 - 60)*(-5*u + 5*u - 2*u).\nAnswer: -120*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0194 + 0.0772. What is a rounded to three decimal places?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/4 - -15) + 4*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/((-4)\/24). Let g be t\/3*(1 - -2). Solve 0 = j - g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 3. Let j = -34 + 37. Suppose 0*v = -v - 2*w - 3, -j*w = -v + 17. Calculate p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 50, 91, 148, 227, 334?\n\"Answer: y**3 - y**2 + 27*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.027, 4, 1, 0.03, -2\/13, -5 in ascending order.\nAnswer: -5, -2\/13, 0.027, 0.03, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1098\/(-36) - -31)*14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 15*u + 28. Let f be x(13). Let m(b) = -8*b**2 - 4*b**2 + 11*b**2 - 9*b**f. Let k(v) = 125*v**2 - 243*v**2 + 120*v**2. Give m(k(s)).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g - 10. Let p be b(5). Let y = 1 + p. Suppose 3*i + 2*j = y*j + 49, -4*i + 68 = -4*j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -500*h**3 - 3*h - 1 - 2*h**4 + 500*h**3 with respect to h.\nAnswer: -8*h**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, p: 1, x: 1, n: 1, h: 1, u: 4}. What is prob of picking 2 u and 1 h?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z - v = -17, -v + 6 = z. Calculate the lowest common multiple of 4 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:35 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12964.1 rounded to the nearest ten?\nAnswer: -12960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -50*y**3 + y**2 + 3*y + 2. Let b be v(-1). Let l be b\/(-40)*4\/10*0. What is the derivative of 2*d**4 - 7 - 4*d**2 + l + 4*d**2 wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10050238 is divided by 220.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((1\/9)\/(21\/18)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20078.\nAnswer: 2, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -366.00000187 - -366. Round j to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99449201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:25 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1096158479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*w - 60, -5*d - 142 = -2*w + 5*w. Let s(n) = -16*n + 6. Let u be s(-3). Let v = u + d. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7806955511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3002223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/4902 and -37\/8.\nAnswer: 19608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 3*u**2. Let d(v) = -v**2. Let y(q) = -q - 14. Let l be y(-11). Let i(g) = l*o(g) + 7*d(g). Factor i(t).\nAnswer: -t**2*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1128335, -2256676, -3385019, -4513364, -5641711, -6770060?\nAnswer: -7898411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (22 - ((-39 - -62) + -14 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + m + 2, -1 = -q + m. Let s = -3 + q. Let a be (-2)\/(-4) + (-1)\/6. Is a greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 3 = -447 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 3. Let u be a(1). Suppose -u*j - 8 = -6*j. Let p(o) = o**2 + o + 1. What is p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -2.7. Let m(l) = 0*l**2 - 15 + 2*l**2 + 14. Let o be m(-1). Which is the nearest to o? (a) -5 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-51)\/((-4)\/(16\/9)). Let a = x + -133\/6. Sort 0.2, a, -1\/8, -3 in decreasing order.\nAnswer: a, 0.2, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 52*m + 27320 = 22*m. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 206 + 94 = 0. Calculate the highest common divisor of p and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110528755.3 to the nearest one thousand.\nAnswer: -110529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1827 divided by -261.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + 60 + -73\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4037 - 3*t - 4055 - t + 2*t to the form r*t + f and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1961513 by 3.\nAnswer: 1961513\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, -101, -456, -1017, -1784, -2757, -3936?\n\"Answer: -103*y**2 + 160*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**3 - 14*a**3 + 15*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -813 - -814. Sort w, -5, -0.3, 73.\nAnswer: -5, -0.3, w, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(196))\/(sqrt(847) + (3*sqrt(847) - sqrt(847)) + sqrt(847)).\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66379*a*c**2 - 1034*a*c + 64*c wrt c.\nAnswer: 132758*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9302095.6501062 + -9302015.65. Let n = 80 - t. Round n to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(2\/11)*t*t)\/t*t**(-7))**(-4\/15))**29)**35 assuming t is positive.\nAnswer: t**(15428\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/3 + 50*y**2 - 1875*y = 0. What is y?\nAnswer: 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000110 (base 2) to base 9.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 + 4*u + 3. Suppose 285*g = -42*g + 3345 + 2214. Let m(d) = 20*d**2 - 11*d - 9. Give g*w(n) + 6*m(n).\nAnswer: n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 6*k - 81 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(9\/2 + 0). Let s = x + 20. Is 13 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*5\/((-30)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/55 + (-4)\/(-22). Suppose o*t - 60 = -5*s - t, -5*t + 14 = -s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*y**2 - 102*y**2 - 17*y**3 + 48*y**2 + y + (-4*y + 2*y + y)*(-y**2 + 4*y - 7*y - 5*y).\nAnswer: -16*y**3 + 7*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 535950557501 and -0.2?\nAnswer: 535950557501.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 389304065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*4)\/((-5)\/(-10)). What is the units digit of 42\/(-28)*a\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.87 - 24.63. What is the smallest value in w, -4, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Let p = 15 - -5. Let b = p + -16. Solve n = -3*j + b + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m**2 + 3*m + 6. Let s = 19 - 9. Suppose -18 = s*k - 13*k. Is 17 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 m when four letters picked without replacement from nnnnmnmnmnmmtncmmmm?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 52 = -g. Let h = 148 + g. Let s(x) = x**3 - 4*x**2 - 6*x + 7. Let p be s(5). Is h bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 1, i: 4, a: 1, j: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 193*s**3 + 6*s**2 + 8*s - 2. Let q(i) = -i**3 - i**2 - i. Give -a(f) - 6*q(f).\nAnswer: -187*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by -34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -34 - (1 + (3 - 9))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23*w + 7. Let a be f(-21). Let r = -474 - a. Solve 0 = 4*i - r*t + 17 - 3, 5*i - 5*t + 25 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*i - 8*i + 88 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 2448 = 43*d. Is 203 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -116\/9*u**3 + 0*u - 63 - 841\/3*u**2 - 1\/6*u**4. Factor r(j).\nAnswer: -2*j*(j + 29)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916 - 15*p**2 + 17*p**2 - 61.\nAnswer: 2*p**2 - 977","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -29. Find the third derivative of -4*y**6 + 34*y**2 - 31*y**2 - 4*y**j wrt y.\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - m + 1. Let u(c) = 3*c**3 - 6*c**2 + 2*c + 2. Let f be u(3). Let x(t) = f - 14 - 15 - 10. What is -2*o(y) - x(y)?\nAnswer: 2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3889 - 0?\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5 - 741*c**4 + 9225*c**3 - 22935*c**2 - 54348*c + 68796 = 0 for c.\nAnswer: -2, 1, 7, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -818*n**3 + 10*n + 10. Let c(k) = -468305*k**3 + 5726*k + 5726. Calculate 5*c(l) - 2863*o(l).\nAnswer: 409*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05 (b) -57\/2 (c) 47 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*v - m + 12, -2*v - 5*m = -41. Let t(h) = v*h - 5*h + 5*h. Let u(z) = 1 - 1 - 2*z. Determine u(t(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 73. What is the lowest common multiple of 3 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/15)\/2*(-180)\/54\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 34398127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**2 - 1\/6*k**3 - 2*k + 0 - 1\/240*k**6 - 5\/48*k**4 - 1\/30*k**5. Let d(v) be the first derivative of o(v). Factor d(z).\nAnswer: -(z + 1)**2*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95279573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1034, -4224, -9558, -17036?\nAnswer: -26658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38 - 6)*23\/92. Solve 33*l = 5*h + 21*l - m, 1 = h - 3*l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 2*m - 5. Let k be t(-4). Suppose 4*p = -u + 17, -4*u - p - 3*p + 32 = 0. Calculate the highest common factor of u and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 406, 412, 412, 400, 370, 316?\n\"Answer: -g**3 + 3*g**2 + 4*g + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23367 - -591.258?\nAnswer: 23958.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9d5 (base 14) to base 16\nAnswer: -79f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 0*l**4 + 4*l**4 + (l**4 - l**4 + 2*l**4)*(-2 + 0 + 0) - 7*l**4 - 54*l**2 + 54*l**2.\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5, -2*r + 7*o + 4703 = 4*o. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8736914?\nAnswer: 2, 131, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) - (-21)\/9. Let c be (1 - 2)*(x + -2). Suppose -6*f = -c*f. Solve -3 = -3*a, f*h - 3*a = -h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 2*p**2 - 5*p**2 in the form m*p**2 + y + a*p and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y - 4. Let x(r) = r + 1. Suppose -4*m - 243 = -223. What is m*x(i) - k(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(((m\/(m**(1\/5)\/m))\/m)\/m)\/m)\/(m**(-6)*m))\/((m\/m**4)\/m*m\/m**(-9)))\/((m**(-3\/4)\/m**(1\/12))\/(m**(-1\/4))**(-1)) assuming m is positive.\nAnswer: m**(-7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/9 + 876970*q**2\/9 + 2630896*q\/9 + 1753928\/9 = 0. What is q?\nAnswer: -438482, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1461\/978) + 2. Let u = -1\/163 + r. What is the second biggest value in -1, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:34 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50042616 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -3.9. Let g = j + -0.2. Let z = g - -4.1. Which is the biggest value? (a) 1 (b) z (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23241696?\nAnswer: 2, 3, 242101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2935*p = 2947*p - 60, 151*a = -3*p + 619 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 34*v**3\/9 + 3676*v**2\/9 + 11064*v + 1296 = 0.\nAnswer: -54, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 260 = 4*k, 18*m + 2*k + 662 = 23*m. Suppose -m*a = -131*a - 95. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -9*h - 32. Let f be -6 + 6 - (h + -3). Suppose f*u - 52 = 18. Solve -2*j + u = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4066, -4025, -3970, -3895, -3794, -3661?\n\"Answer: k**3 + k**2 + 31*k - 4099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5755, 11453, 17113, 22735, 28319, 33865?\n\"Answer: -19*k**2 + 5755*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 40\/7. Let h(j) = j**2 - 6*j + 4. Let n be h(5). Let f be -32*19\/380 - (0 - 2). Which is the closest to i? (a) n (b) f (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/145860*60*-26?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -702147 (base 10) to base 5\nAnswer: -134432042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3 + 17133144*b**2 - 36693129314970*b + 220158159097068 = 0.\nAnswer: 6, 4283283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 1009 = 2*d + 1009 - 1810, -3*t - 5*d = -78 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 24*o**2 - o - 1. Let w = -5 - -4. Let t be n(w). Solve 0*y + 2*c = -2*y, -y = -5*c - t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/90 - -1\/18. Let c = 62\/5 - 367\/30. What is the nearest to 2\/7 in 2\/5, c, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2572*o - 1298*o - 1291*o + 14 + 8. Let b be i(-4). Calculate the greatest common divisor of 120 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1160 and 37\/5800.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 - -1156\/5. Which is the nearest to 1\/4? (a) x (b) 3\/2 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3 - -0.3. Let d = -3.3 - c. Let b = 0.299968 + d. Round b to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -2. Let c = d - 13. Let l = -2 + c. Put 0.3, 0, l in descending order.\nAnswer: 0.3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 + 41\/(-3). Let i be 2 + (-2)\/((-4)\/h). Let n(s) be the second derivative of -s**5\/20 - s**4\/3 + 5*s**3\/6 - 7*s**2\/2 - 2*s. Determine n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {b: 7, a: 7}.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-260*l**2 + 3 + 546*l**2 - 4*l + 414*l**2)*(-2*l**2 + 0*l**2 + l**2) to the form j*l**3 + m*l**2 + b + d*l**4 + h*l and give d.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4074*n - 338*n + 715*n - 284*n as u + s*n and give s.\nAnswer: 4167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 98*d - 13. Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (-33 - (-34 + 14)). Solve -3*p - 5*z + 24 - 28 = 0, -z + b = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g - 4. Let f = -2672 + 2726. What is the highest common divisor of g and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13149 is divided by 6570.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/57? (a) 3\/2 (b) -271 (c) -2 (d) 4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 + 12*h - 9. Let s(j) = 9*j**2 + 30*j - 18. What is -2*s(i) + 5*v(i)?\nAnswer: 2*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 63*n - 261. What are the prime factors of c(16)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -1424, -3, 1.\nAnswer: -1424, -3, 1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j**2 - 5*j + 3. Let b be 6 - -2 - (-3 + 9). Let z(u) = 2*u**b - 2*u**3 + 5*u**2 + 9*u - 2*u + 0*u**3 - 6*u**2 - 4. What is 7*s(f) + 5*z(f)?\nAnswer: -3*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -231 (b) 4 (c) 1\/271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.04314 + 34.08. Round l to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2306890 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f - 63. Let s be c(-9). Let j be 6\/27 + (-770399996)\/s. What is j rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 226 * 59.\nAnswer: 13334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q**2 + 2*q. Let i be p(2). Let g = i + -37. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 37 - (7 - (5 - -11) - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7, 3, 2\/1105, -27, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:47 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 22*d - 16. Let a = -4 + -6. Let y be s(a). Solve -g + y*g = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 753820.\nAnswer: 1507640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 319*s + 315*s = 40, -2*s - 90 = 7*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a - 133 = -533 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 365288.\nAnswer: 1826440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - (-2 + -2) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293649 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(104\/106 + -1). Let f = d - 479\/9. What is the common denominator of (-50 + 37)\/(24\/22) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {c: 2, n: 4, d: 2, w: 3, e: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -221 and 1486.\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 5 + -7 + -2 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3556007*j**5 + 5530254*j**2 wrt j?\nAnswer: 213360420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. Suppose -1348501 - 851499 = -a*q. What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -124, -213, -326, -469, -648, -869?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 2, i: 2, f: 1, y: 2, z: 1}. What is prob of sequence uj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -103*k**2 + 6*k + 31. Let w be u(-8). Is (30\/18)\/((-5)\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 = 5*o, 5*o = r - 2114. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68598094 and 6.\nAnswer: 205794282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-141)\/13 + (5 - (-268)\/(-52)). Let s(u) = -104*u - 216. Calculate the remainder when s(x) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.27 + -674.\nAnswer: -665.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -632 (b) 1 (c) -3 (d) 3\/7 (e) -2 (f) -4\/5 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712*h**2 + 31*h + 2141*h**2 - 704*h**2 - 30*h - 715*h**2.\nAnswer: 10*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 + 6*p + 7. Calculate x(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5614\/23 - -244. Which is greater: 0.2 or d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*0.5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.14 and -3.2.\nAnswer: -12.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 9*x - 7*x**2 + 3 - 2 + x. Let d(z) = z**2 + 9*z + 12. Let s be d(-6). What is the tens digit of u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 0 - (-2)\/1. Let s(t) = 2*t + 1. Let a be s(q). Let o = -2279 - -2284. Solve a*v - 10 = o*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 7260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(3 + -1) + 17\/(-16 - 1). Factor 0*u**z + 0*u + 3\/8*u**3 + 3\/4*u**4 + 0 + 3\/8*u**5.\nAnswer: 3*u**3*(u + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) -9\/7 (c) -598.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433 divided by -34171?\nAnswer: 1433\/34171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 + 4*s**2 + 5*s - 5 - 4*s. Suppose -a - 8 = 2*j, 0 = -5*j + 6*a - 2*a - 20. List the prime factors of b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1170127 (base 13) to base 6.\nAnswer: -311411451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 3\/2, -1\/21, -2, -2\/5, -1 in descending order.\nAnswer: 3\/2, 1\/10, -1\/21, -2\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225212 (base 7) to base 2.\nAnswer: -100110100010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(5\/3))**(2\/17)*(x*x**(2\/17)*x*x)**(-6) assuming x is positive.\nAnswer: x**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*f + 5 = -22, 4*y + f = 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-70)\/4) + (-79)\/(-7). Suppose -12*j = -m*j + 5. Sort j, 3, -3, 2 in descending order.\nAnswer: 3, 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 45*p**2 - p - 30. Let k be g(-45). Suppose -k*a + 6820 = 16*a. Calculate the highest common divisor of 55 and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488\/10 + (-4)\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 3*c**2. Let a be l(3). Let g be 0 + a + -2 + 4. List the prime factors of (246*(-8)\/(-12))\/g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-110)*(-6)\/8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x + 2 + 25498*x**2 + 44*x - 25498*x**2 + 240*x**3 wrt x?\nAnswer: 1440*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 9*l - 51. Suppose 0 = 9*a + l*a - 2871. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = 3*x - 22, 3*x + 2*c = -7. Suppose 5*m = -4*v + 252, -2*v + m = -3*m - 100. Let b = -53 + v. Sort x, b, 2 in ascending order.\nAnswer: x, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.6499974 - -23.65. Round h to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002022 - 2011200?\nAnswer: -10020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 19, -2, -601, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + 18*y - 35*y + 4*y**3 - 6836.\nAnswer: 4*y**3 - 6836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-6 - -6) - 28) + 8 + -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -70, -111, -156, -205, -258?\n\"Answer: -2*x**2 - 31*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -48. Let d = -4448 - -4448. Which is the closest to d? (a) w (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-112)\/(-4) + (-1 - -2 - 2) and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than -140.628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7015.4395 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/144 and 41\/192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54183170.\nAnswer: 2, 5, 23, 37, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n*o*y - 535*n*o - 604*n*y - n - 2*o*y + o wrt o.\nAnswer: -5*n*y - 535*n - 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*r - 88 - 61, -69 = -2*r + 3*w. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 108*f**3 + 994*f**2 - 1992*f - 3096.\nAnswer: 2*(f - 43)*(f - 6)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82902775 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -307.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-8) - 1830\/1080 and -91\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6)\/(1\/(-3)). Let n = r - -8. Suppose n*f + 3*t - 229 = 0, 4*f + t = f + 168. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, z: 12}. What is prob of picking 2 z?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 1 y when three letters picked without replacement from llljlytjjl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-10))\/((-1)\/(-34)). Let b be h\/2 + (-10)\/20. Suppose -b*c - 20 = -9*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*l*n*o**2 - 2*l - 2*n*o**2 - 455*o**2 wrt n?\nAnswer: 20*l*o**2 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1688*k**2 - 8*k - 4. Let a be v(-2). Is -2 + (-6)\/6 - a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(3*j - 3*j + 2*j**2 - 3 + j**2 + 3 + (-3 - 2 + 0)*(j**2 + j**2 + 0*j**2) + 4 - 4 + 5*j**2) to the form o*j + k + b*j**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 118 + 0.3\nAnswer: 118.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2730.12 and -83?\nAnswer: 2647.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*w - 2*w + 5320. Is 76 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwv when three letters picked without replacement from {b: 2, m: 1, v: 1, w: 1, g: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 220c (base 13) in base 12?\nAnswer: 28b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471381 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325116*q**2 - 106262*q.\nAnswer: -650232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:21 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -88, -178, -332, -568, -904?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k + 3*k + 3*n, 0 = -5*k + 4*n + 5. Let j be 3 + 0 + (-116)\/39. Let d = -14\/39 + j. Is k less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2628*j + 2552*j + 684 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c**3 + 7 - 7 - 115*c**3.\nAnswer: -75*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 105 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1771\/(-392)) + (46 - (-13356)\/(-288)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21113 (base 5) to base 6.\nAnswer: -10304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from {x: 7, s: 9}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2411 = -3*n + 4*l, -3*n = l - 1450. Let y = n + -322. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 4*d**3 + 4*d**3 - 4*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/12 + 5*g**4\/12 - 5*g**3\/6 - 5*g**2 - 9*g. Let a(l) be the first derivative of q(l). Find m such that a(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 309 = 4*u - 0*z, -369 = 5*u - 2*z. Let x = 79 + u. Suppose k = y + 43, -x*k + 8*k = 2*y + 166. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-5)*((-10045)\/(-28))\/41\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 107582 and 0.03.\nAnswer: 107582.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -100110110000000001 (base 2) to base 12\nAnswer: -77a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let q(o) = 147*o**2. Determine x(q(t)).\nAnswer: 21609*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 + 204*l**4 + 88416*l**3 - 618*l**2 - 264813*l + 176814 = 0 for l.\nAnswer: -141, -2, 1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 2*z**2 - 2*z + 4. Let s be 3\/(-2)*(1 + -3). Let j be n(s). Suppose -10*k + 13*k - 30 = 0. Calculate the greatest common factor of k and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - -0.4.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - -2) + -5 - -2) + 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 214, 319, 426, 535?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-82)\/(-1) + -3). Let n = s + -161\/237. Which is the closest to 0.1? (a) -4\/5 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-189)\/204 - (-135)\/180. Which is the nearest to 2\/5? (a) 2 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -1578755146.58.\nAnswer: -1578755146.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*k + 24 = v, -57192*v + 57187*v - 2*k = 44 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 84. Let j be (4 - -1) + -24 + c. Which is greater: j or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2160527*g**4 + 2086561*g**2 wrt g?\nAnswer: -51852648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 87?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2862 is divided by 137?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274638 - -416?\nAnswer: -1274222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-8)\/(-12)*(-950)\/20. Suppose -5*f = 5, 0 = 4*p - 3*f - o - 8. Solve 8*m - 7*m = -5*q - p, m + 4*q = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7739959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.4, -371, 39628, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmk when three letters picked without replacement from mmmzkktgmymk?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35937020199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, w: 3, z: 1, s: 5, o: 2}. What is prob of picking 2 s?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 6. Suppose 3*k + 14 = 4*a, -4*a + h*k + 10 = -2. Let x(u) = -a*u**2 + 9*u - 9*u. Let d(j) = j**2. What is d(x(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65173 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.84 - 52.06. Let l = v + 67. Suppose -2*r = -2 - 4. Which is the biggest value? (a) 2 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18234672*w - 60284428?\nAnswer: 18234672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 184*l - 9821. Calculate p(43).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -235742 < -235742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*n + 18 = 10, -2*n - 76 = -2*w. Suppose -5 = -p + 4*i, -p - 4 = 4*i - w. Calculate the remainder when 399\/3 - (-4)\/2 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2092, -2177, -2338, -2581, -2912, -3337?\nAnswer: -3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from kkzcww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3253089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9859649, -19719288, -29578927?\nAnswer: -39438566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 5*n - 7*n. Let b = 1 - -2. Suppose 2\/3*r**4 + 0*r**2 + n + 0*r**b + 2\/3*r**5 + 0*r = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35162*m - 33021 wrt m?\nAnswer: -35162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15563 is divided by 1727?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 116075 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 264573744, 264573743, 264573742, 264573741?\n\"Answer: -j + 264573745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -6. Let z = 49 + k. Put z, 7, -3 in ascending order.\nAnswer: -3, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202150 - -8?\nAnswer: 202158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50559.58km to centimeters.\nAnswer: 5055958000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjajaajjojjjjjjjaa. Give prob of picking 1 o and 3 a.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -7*a + 40. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -52397*n. Let r(a) = -35*a + 1. Calculate j(r(s)).\nAnswer: 1833895*s - 52397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 75*w - 218. Let z be b(3). Solve -7 = 2*j - z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9949 is divided by 199?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -416, -1134, -2466, -4616, -7788, -12186, -18014?\nAnswer: -25476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -109*y**2 - 362*y + 11. Let b(x) = -54*x**2 - 172*x + 5. What is 5*a(t) - 11*b(t)?\nAnswer: 49*t**2 + 82*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 11. What is the highest common factor of 35 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -625*g**3 - g**2 - 5*g - 4. Let b(d) = 5*d + 4. Let v be b(-3). Let k = v + 7. Let q be f(k). What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + (3 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*1)\/((-108)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -372 divided by -93\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -0.57. Let b = t + -1.03. What is the second smallest value in 3, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 4*u - o, o - 5*o = -u + 85. Calculate the remainder when 223 is divided by u.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 33. Let u(a) = a + 4. Let i be u(-4). Suppose -5*k + 85 = -4*s, 3*k + 5*s = -i*k + 14. Calculate the remainder when k is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*c - 39 = 20*c - 180 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -3 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1031212332?\nAnswer: -1031212332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*g + 3*g**5 - 17*g - 4*g**2 - 5*g**2 wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6.06. Let x = -1.94 - k. Let d = 2.006 + x. Round d to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 12648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 181518031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2241, 2229, 2221, 2223, 2241?\n\"Answer: q**3 - 4*q**2 - 7*q + 2251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1044.772 - 1047. Let u = 0.228 + g. Let w = -1 + 1. Sort 5, u, w in ascending order.\nAnswer: u, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/385*18\/(-15)*(-2)\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.050991 + 0.051. Round h to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 125 - 75 = 0. Let g = -42 + 47. What is the greatest common factor of u and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5821, 11715, 17607, 23497, 29385?\n\"Answer: -a**2 + 5897*a - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 - 4*d**2 + 4*d. Let j(s) = 5*s**3 - 3*s**2 + 3*s. Let n(y) = -4*j(y) + 3*m(y). Let w = 588 - 589. Give n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t - 53. Suppose 4 = -n + t. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z - 343 = -10*z + 179 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116043 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4\/4 - d**3\/3 + 2*d**2 + 4*d + 761. Determine y so that a(y) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56\/55 - 21\/55. Sort -6, i, -3.\nAnswer: -6, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 30 = 3*r. What are the prime factors of (1795\/r)\/((-3)\/9)?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 2*a - 30 + 30.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 2059?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 0.4 (c) 96 (d) -4 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 r when four letters picked without replacement from vewvwevvrvwwe.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -14.6, 15, 0, -1?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -282, 112, 558, 1056?\n\"Answer: 26*r**2 + 316*r - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 201606156 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835396334 to the power of 1\/2, to the nearest integer?\nAnswer: 42842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*i - 16 = 0, 6*s - 3*s - 3*i = -12. Suppose -4*v + 5959 = 8*u - 3*u, -4*u - 3*v + 4768 = s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036299 to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1105 + 1109 + (-6 - (0 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.88 - 1880\nAnswer: -1883.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1)*8\/((-256)\/(-80)). Let u(b) be the second derivative of i*b + 7*b**2 + 0*b**3 + 1\/3*b**4 + 0. What is the derivative of u(g) wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1071 (b) -0.06 (c) 21\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k - 13. Let p(m) = -10*m + 12. Let o(y) = 5*y - 6. Let s(h) = 11*o(h) + 6*p(h). Let g(r) = -13*s(r) - 6*w(r). What is the tens digit of g(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d + 21 = 81*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 69*u - 70. Let v be c(-70). Put 49, -7, v in decreasing order.\nAnswer: 49, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98490, 197169, 296018, 395037, 494226, 593585?\n\"Answer: 85*z**2 + 98424*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 1) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 507680\/191 + -2658. Let f = u - 2121\/1910. Find the common denominator of f and -11\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08493194 to four dps.\nAnswer: 0.0849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/sqrt(4) + (sqrt(5) + 1)*2.\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 44\/6)*(-1848)\/385?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/18 and 73\/12332?\nAnswer: 110988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 6*g + 7. Is a(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 5973007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 + (-3)\/(-6). Solve -n*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(68) + 1)**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176839301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7784 by -28.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -158, 3, 1, 107 in increasing order.\nAnswer: -158, -77, 1, 3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/9*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 27*k**2 + 108*k. Give z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3024*q + 97. Suppose -17 = -3*d + 4*a, d + 0*d = -2*a - 1. Is x(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/83 and -57\/6265?\nAnswer: 519995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.3 (c) 1.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 519 - -208. Let i = v + -300. What are the prime factors of i?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + -4 - ((sqrt(78)\/sqrt(6) - sqrt(13)) + 2 + sqrt(13))**2)*5 + -2)*-5*-2.\nAnswer: -1070 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = 10. Let o = j - -6. Let r = -8 + o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l - 1 + 1 + 0.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y + 7. Let w(j) = 9*j - 9. Let m(f) = 10*f - 10. Let b(z) = 6*m(z) - 5*w(z). Give 6*b(i) + 13*c(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28401021 and 2295032.\nAnswer: 227208168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 - 4 = 0. Suppose -f*t + 13 = 4. Let q = 637.2 + -637. Which is the third biggest value? (a) q (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 + 27018*a**2\/7.\nAnswer: -2*a**2*(a - 13509)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-10 - -11))\/((-2)\/(-13876)).\nAnswer: 2, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 329 - 735. What is the remainder when l is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -171 (b) 0 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 20 = 0. Let w = 9 - p. Solve w*f + 7 = -8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 103*n**2 - n - 97. Give k(-103).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404675413 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/34*302\/1 + 25 + -34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1537811 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -21072.469 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6789*q**3 - 3*q**2 + q + 1. Let t be d(1). Let f = t + 67821\/10. Calculate the common denominator of f and (-4 + (-447)\/(-108))*(-8 + -6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/432)\/(-3*(-4)\/(-216)*9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - i**3 + 3 - 3*i.\nAnswer: -i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1980) - (sqrt(1980) + (sqrt(1980) - -2*sqrt(1980)*6)))\/((4*2*sqrt(99))\/sqrt(9)))**2.\nAnswer: 7605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-5)\/40). Suppose -h*k = -2*o - 16, -6*k = -2*k - o - 14. Factor -17*b**2 + 23*b**2 - 3*b**k + 6*b**3 + 3*b.\nAnswer: 3*b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636634 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 14151294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 8 = -2*n. Solve 4*r = -n + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 36 = -4*g. Suppose -g*x + 33 = 15. Suppose -x*u - 9 = 0, -2*z + 3*u = 8*u - 283. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-188)\/1392 - (-5)\/20. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.8219 to zero dps.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2583 + 18082\/7. Is 38 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507, -3993, -13447, -31851, -62187, -107437, -170583, -254607?\nAnswer: -362491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 4\/4 + (6 - 2). Let t(k) be the first derivative of 3\/4*k**2 + 0*k**3 - i - 3\/8*k**4 + 0*k. Determine b, given that t(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by 175.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - r - 3909 = 0, 5*r - 1927 = 43*m - 44*m. What is the remainder when m is divided by 647?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3\/(-9)*0)\/(-1))\/3. Suppose -4*s - p + 24330 = 0, -4*p = -x*p - 8. Let i be 0 - (s - 8\/4). Round i to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + -1. Find the common denominator of 73\/18 and 110\/(-32) - (-2)\/j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/123 or 1?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from brhbohrohbocbrboro?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -0.1, 6\/11, 2\/11 in increasing order.\nAnswer: -0.1, 2\/11, 6\/11, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(63\/(-6))*5\/(-2). Let q(z) = z**2 - z + 1. Let x(m) = -3*m**2 - m - 4. Let l(p) = 4*q(p) + x(p). What is l(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 3*l + 3. Let s = -1 - -3. Let p be c(s). Suppose 430 = p*x - 5*k, -x + 67 + 29 = k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -483904.\nAnswer: 3\/483904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -4*x - 3*s, 2*s = -2. Suppose -x*o - 2*c - 49 = 0, o + 4*c = -12 - 21. Let l = o - -25. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1101 - -707947\/643. Let f = 4665\/26363 - l. Let u = f - 221\/574. What is the common denominator of -87\/20 and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 30*t**3 + 39*t - 7. Let z(l) = -20*l**3 - 26*l + 5. Let h(x) = 5*s(x) + 7*z(x). Find the second derivative of h(j) wrt j.\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1, 28, -0.15?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 433*p + 235*p + 721 - 262 - 205 + 781 wrt p?\nAnswer: 668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 99 and -1.174.\nAnswer: 97.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-1\/8)\/(m**(2\/7))**(6\/19)*(m**(-1\/4))**4*(m**(-4)*m)\/((m*m**2)\/m) assuming m is positive.\nAnswer: m**(-6613\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17*5.921141\nAnswer: -100.659397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4 - (-148)\/1200*-5.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/40 + 3*m**5\/16 - 3*m**4\/16 - 9*m**3\/8 + 143*m - 50. Let j(p) be the first derivative of n(p). Factor j(t).\nAnswer: -3*t*(t - 3)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 37*i**2 - 13*i + 132. What is g(37)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (556\/(-10))\/(-40 - -39)*(-15)\/(-6). Which is bigger: f or 1520\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 - 6*z - 2. Let n be (4\/12)\/(1\/(-15)). Is a(n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.5 + 46.5. Let y = -57 + j. Let r be 3 - (1 + (-160)\/(-84)). Which is the closest to -1? (a) -0.5 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810238720 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -905, -907, -921, -953, -1009, -1095?\n\"Answer: -r**3 + 5*r - 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -49*t + 1432. Let r(v) = 10*v. Determine r(x(q)).\nAnswer: -490*q + 14320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 555.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, w: 15}. Give prob of sequence wa.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -481*r - 80. Let d(q) = -241*q - 36. Determine -11*d(m) + 5*k(m).\nAnswer: 246*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + -3.1. Let u = -3.4 - 0.6. Let r = u - o. Which is the second biggest value? (a) -0.2 (b) -3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -783 (b) 8 (c) 15.5 (d) 2\/5 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 283456.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzjj when four letters picked without replacement from {z: 2, j: 5, q: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2197*r**5 - 10*r**4 + r + 52161 wrt r.\nAnswer: 43940*r**3 - 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*b*i**2*u - 2*b*i*u**3 + 8*b*u**3 + b + i*u**2 + 2*u wrt i?\nAnswer: -24*b*i*u - 2*b*u**3 + u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**7\/12600 + r**6\/360 - r**5\/24 - 49*r**4\/24 - 47*r**2. Let j(a) be the second derivative of n(a). Factor j(o).\nAnswer: -(o - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*l - 5*k + 151, 5*l - 127 = 2*k. Let v = l + -15. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + y - 4. Let s(i) = -5*i**2 - 5. Suppose 0*r - 8*r - 8 = 0. Let q be (1 + -5)\/(r*(-1 - -3)). Calculate q*s(h) - 3*l(h).\nAnswer: 2*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 783, 1205, 1649, 2109?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7))**(-11)*(t**(-4\/11))**(-35) assuming t is positive.\nAnswer: t**(1706\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -5*n**3\/3 - 5*n**2\/2 - 8*n. Differentiate j(y) wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/10 + 1\/5. Let p be 6*a\/(-18)*-3. What is the common denominator of p\/16 + (-2)\/72 and 107\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37194423359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h**4*x**2 + h**4*x - 2*h**3*x**2 - 35*h**2*x**2 + 11*x wrt h.\nAnswer: -792*h*x**2 + 24*h*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((330\/(-4))\/15)\/((-7)\/14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 69 = 3*q. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-51)\/6)*(-5)\/(-120).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440678973 is divided by 3025?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000078929 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o - 12. Let m be f(-5). Let i = -29 + m. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39280*0.5.\nAnswer: -19640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**5*x**3 + 14291622*n**2*x**3 + 9*n*x**3 + 17042664*n*x wrt n.\nAnswer: -40*n**3*x**3 + 28583244*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -2249756.\nAnswer: 202478.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31962 and 95886?\nAnswer: 95886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(85)*2)\/sqrt(5).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -0.2, -5, -0.6, -0.212, 1, 4?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -34*f + 2. Let t be r(-2). Let h = -34 + t. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-12) - (-51)\/18. Suppose 304 = w*i + 1699. Is 12\/8 + i\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163705172 to the power of 1\/2, to the nearest integer?\nAnswer: 12795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 75 = -5*o + 2180, 0 = x + 3*o - 455. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 3*r - 3. Let u be n(3). Let b(y) = y**3 - 15*y**2 + 2. Let s be b(15). Suppose 0*g - s*g = -16. Solve v - h + g = -u*h, -v = h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6*d = -4*d + 2*s + 6, 11*d - 7*s = 54 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04930384252 + -0.3.\nAnswer: -0.34930384252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:06 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103, 200, 277, 328, 347?\n\"Answer: -h**3 - 4*h**2 + 116*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7360594 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 58, -204879.\nAnswer: -204879, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -971948, -971945, -971942?\nAnswer: -971939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 837 - 833. What is the remainder when 31 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2. Let m = -6222 - -6225. Let p(t) be the third derivative of 10*t**2 + 0*t**m + 0 - 1\/12*t**4 + 0*t. Calculate w(p(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5577, -5539, -5501, -5463?\n\"Answer: 38*g - 5615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -255071, -1020325, -2295761, -4081379?\n\"Answer: -255091*b**2 + 19*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**7\/420 - 3*i**6\/40 - 31*i**5\/120 + 3*i**4\/8 + 8*i**3\/3 + 32*i**2 - 18*i. What is k in h(k) = 0?\nAnswer: -16, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**3 + 82*t**2 - 114*t + 1197. Give u(8).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 18*r + 265*r**3 - 34*r - 276*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 j when four letters picked without replacement from {j: 3, i: 1, u: 2, s: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.1815427 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 - 8*a - 5. Let h be o(-7). Let c(s) = -2*s + 7. Let k be c(5). Put k, 4, h in descending order.\nAnswer: 4, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 4 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164810100 by 140.\nAnswer: -1177215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 3*u + 0*u - 4*u + 4*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 8*k**3 + 12 - 12*k**3 - 12.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1797, -1801, -1817, -1851, -1909, -1997, -2121?\n\"Answer: -g**3 + 3*g - 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -61*q**2 + 2*q. Let i(d) = 2*d**2. Determine b(i(x)).\nAnswer: -244*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 17, 32, 45, 50, 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18991*j*p + 4*j - 5*p + 27621 wrt j.\nAnswer: 18991*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0 + 1\/24*k**4 + 0*k + 4*k**2 + 2\/3*k**3. Let i be u(0). Solve -i*q + 4*t = 0, -t = q - 7 - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 764952426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5309723 and 47787507?\nAnswer: 47787507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 302380 and 62?\nAnswer: 9373780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p - 18986 + 7320. What are the prime factors of p?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/10 and 51\/187640.\nAnswer: 187640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwwhwhgw. Give prob of picking 1 g and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-170)*50\/165?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/94 and -31\/6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a = -39*a - 19. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1802286*-4.\nAnswer: 7209144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 + 0*s**2 + 4*s**2 + 2*s**2 - 7*s**2 - 9*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, h: 13}. What is prob of sequence huhh?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*j**3 - 9*j**5 - 64*j**2 + 11*j**5 + 10*j**4 + 51*j**3 + 64*j.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 7*f**2 - 3*f + 1. Let a = -16 + 21. Is 12 a factor of t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 32130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995 + 5*o**2 - 3*o + 3*o - 995.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/64)\/(69\/1012))\/(3\/(-12))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from jhjjjjnljnlj?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 4:18 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/30 and 36\/695?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 567131*m**2. Let p(y) = 41*y**2. Give p(b(o)).\nAnswer: 13187140417601*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*o + 2*n = 36, -14 + 14 = -3*n - 12 - 3 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-5)*a\/(a*a**7)*a**(-4\/7)*(a*((a**(-4\/7)*a)\/a)\/a*a)\/a*(((a\/a**(-7))\/a*a*a*a)\/(a\/((a\/(a*a\/a**1))\/a)))\/(a**1)**(1\/19) assuming a is positive.\nAnswer: a**(772\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h. Let j be (-7)\/(364\/(-8)) - (-378)\/78. Let w(u) = 5*u**2 - 6*u**2 - j*u**2. What is g(w(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/34, 19, -4 in decreasing order.\nAnswer: 19, 1\/4, -1\/34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(204) + (sqrt(204) - (sqrt(204) + sqrt(204)*1 + sqrt(204) - sqrt(204))))\/sqrt(12))**2)*5 + 2*sqrt(612) + (3*sqrt(425) + sqrt(17))**2.\nAnswer: 12*sqrt(17) + 4362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 590592, 1181149, 1771704, 2362257, 2952808, 3543357, 4133904?\n\"Answer: -t**2 + 590560*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35\/4 + 257\/28. Let c = 4 - 17. Let w = c - -12. Which is bigger: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*m - 4376008, v - 5*m - 688360 = 1499630. Round v to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 28 = 6*v. Let s = 500 + -1468\/3. Is v at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.731 * 2405.\nAnswer: 119603.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1525 = 4*r - j - 847, -5*r - 4*j = -2944. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 6)\/(19*(-60)\/2850*(-10)\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, -2, 2\/3, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065398382 to the power of 1\/2, to the nearest integer?\nAnswer: 32640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123701 by 259.\nAnswer: -123701\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/72 and -2*(4 + 3735\/(-648)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4482218 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = -0*t + 3*t, 2*o = -5*t + 54. Let v be (-2)\/3 - 112799992\/t. What is v rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let a(o) = 6*o - 1 + o + 2*o**n - 2*o. Let v be a(-4). Calculate the greatest common factor of 77 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 1 (c) -4 (d) 8 (e) 2.62 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:26 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*(-23)\/(-184)*-18*(-16)\/(-3432)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m**3 - 13*m**2 - 8*m - 9. Let n(k) = 3*k**3 + 2*k**2 + k + 2. What is -4*n(c) - t(c)?\nAnswer: -33*c**3 + 5*c**2 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from nxnxyynyrx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.887 - 714.113. Let c = a - -719. Put c, 42, -1\/4 in descending order.\nAnswer: 42, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 2*w. Let u be i(3). Let f(n) = 36*n + 3602. Let h be f(-100). Solve 0 = b - 4*q + u, h*b + q - 2 = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -8. Suppose -m = -0*m - g. Solve -12 = 4*a - m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a factor of 6418391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 101 + 95 = -x, 2*x = 3*i - 147. Solve -5*t = 64 - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31569 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 3*c + 6. Calculate o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7310000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 - -155. Suppose 138 = r + j. Suppose 0 = -4*a + 27 + r. What is the remainder when a is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74963?\nAnswer: 7, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 786, 717, 526, 153, -462?\n\"Answer: -10*b**3 - b**2 + 4*b + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44777657?\nAnswer: 4919, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 12. Solve q*c + 1 + 5 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 242514\nAnswer: -13\/80838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35732 * 0.06.\nAnswer: 2143.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245611536*i**5 - 107954*i**2 - 43 wrt i.\nAnswer: 14736692160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5) + -3 - (sqrt(245) - (sqrt(245) - 2*sqrt(245))))**2 + -5*(3 + sqrt(80)).\nAnswer: 52*sqrt(5) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538072 is divided by 384515.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213999966 = 4*t + 2*l, t + 3*l = -2*t + 160499979. Suppose o + 5*q + t = 0, 0 = -5*q + 3 + 7. What is o rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 990211353\/724 + -1367695. Let k = 2\/181 + m. Let c = -0.28 + -0.02. What is the biggest value in k, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -527 + 1058 - 514 - w**3 + 10*w**2 - 2*w. Determine y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*m = -12, 2*p - 4 + 14 = 4*m. Let h be (-4 + 8)*p + 9. Put 4, -4, h in ascending order.\nAnswer: -4, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88053 not equal to -88051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*n**3 - 40*n**2 - 20*n**3 + 39*n**2 - 4*n**2 in the form y*n + k*n**3 + q*n**2 + b and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (73616\/428 - 135) + 594\/(-14)\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20438 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 77\/5 - 6\/(-10). Suppose -2*g + 3*g + 3*x = 0, 5*g - v = x. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. What is the second derivative of 2*g**2 - 2*g**2 - 3*g - g**v wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-8))\/((-2)\/24*3). Let x(p) = 17*p**3 - p + 1. What is x(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 255 + 80 = 0. Suppose -2*z = -p + 47, 4*z - 43 = -2*p + q. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1323 - 1322.8. Which is the smallest value? (a) 5 (b) f (c) -1\/2 (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -22*i**5\/5 + 278*i**4\/5 - 534*i**3\/5 - 518*i**2\/5 + 556*i\/5 + 48 = 0.\nAnswer: -1, -4\/11, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**5 - 29600*t**4 + 57895960*t**3 - 11425424480*t**2 - 23024655260*t - 11541305216 = 0.\nAnswer: -1, 224, 3589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12534706*k + 16325340 wrt k?\nAnswer: -12534706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 70\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 4. Let t be w(3). Let k = -1 - -4. List the prime factors of (-4)\/12 + t\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 + (50 - 18) + (-1 - (1 - 0))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -28 (b) 3 (c) -0.1 (d) 7\/4 (e) 885\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 490 = 7*x - 2*x, 0 = 5*x - 5*n - 485. Calculate the lowest common multiple of 51 and x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 - 18 = 0. Suppose 0 = s + 4*l - l + z, l = -5*s + 7. Differentiate -2*h**4 - s + 3*h**4 + 16 with respect to h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34555 - -56025?\nAnswer: 101581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 24 - 9 = 0, 2*w + 21 = 5*i. Solve 25 = i*f + 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1357190 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -13*t - 18*t - 34. Which is the nearest to t? (a) -4\/5 (b) -1 (c) -38 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131086 (base 10) to base 3.\nAnswer: -20122211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/420 + 11*j**5\/21 + 109*j**4\/84 - 1486*j**2. Suppose m(t) = 0. What is t?\nAnswer: -109, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**3 - 60641*m**2 + 16*m - 51983953 wrt m?\nAnswer: 6*m**2 - 121282*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1134271, -1134305, -1134353, -1134409, -1134467, -1134521, -1134565, -1134593?\n\"Answer: v**3 - 13*v**2 - 2*v - 1134257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 + 12202210?\nAnswer: 12201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -664840 by 2.\nAnswer: -332420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3788 - 34010\/9. Which is smaller: i or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*t = -4, t + 0 = -2. Let f = 0.04 + -0.04. Let q = 0.2 - f. Which is the third biggest value? (a) h (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 6*b - 5. Let j(w) = -2*w**2 + w. Let t be j(-1). Let a(l) = 7 - 3 - 8 - 5*l + l**2. Calculate t*o(k) + 4*a(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/532 and -74\/1995.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002009238271 to seven decimal places.\nAnswer: -0.0002009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60125.2ml in litres?\nAnswer: 60.1252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22224 (base 7) to base 9\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 43, 50, 39, 4, -61, -162?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -15*i**2 + i. Let v(z) = -2*z**2 - 14*z + 35. Let q be v(-9). Let k(w) = 10*w**2. Let r(n) = -2*n**2. Let c(u) = q*k(u) - 6*r(u). Give g(c(d)).\nAnswer: -60*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -478 in 2\/19, 78.23, -0.18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(2\/8). Find the second derivative of -t**s + 3*t - 3*t + 2*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1172?\nAnswer: 1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 16 = 13*y + 3*x, 3*y + 3*x - 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 10 = -h, -4*l = h + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 1. Suppose y*t = 183 + 279. Calculate the greatest common divisor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8186, 14638, 21094, 27554, 34018?\n\"Answer: 2*y**2 + 6446*y + 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 53*x + 1039 + 21 = 0. Let z(s) = s**3 - 2*s. Let j be z(2). Suppose 5*i + j*r + 7 = 6*i, x = 5*r. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30169281 times -0.4?\nAnswer: 12067712.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -4949161680 and 24.\nAnswer: -4949161656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -929493, -929357, -929131, -928815, -928409?\n\"Answer: 45*h**2 + h - 929539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(2 - 2 + 7)*(-i + 6 - 6).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/34767512 and -5\/39?\nAnswer: 104302536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k**3 + 4 - 3 - 3 + k + 14*k**3 + 2*k**2. Let h(u) = 4*u**2 + 3*u + 2. Let j be h(-4). Let s be (-2)\/(-3)*j\/12. Determine p(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -9*m**5\/10 + 4*m**4\/3 + 4*m. Find the third derivative of x(u) wrt u.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.2. Let t be ((-1)\/3)\/((-12)\/48). Let m be -80 - -80 - (-6)\/2. Which is the closest to h? (a) m (b) -5\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 885 and 177?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185720242.\nAnswer: 2, 37, 41, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8.9, -1\/6, -1, -36, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 26*u - 151. Calculate l(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 14*s - 30. Let j be v(3). Is j equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.66 - 53.66. Let k = 3 - 3.2. Let v = 8 - 11. Which is the fourth biggest value? (a) v (b) y (c) k (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/7)\/p*p\/(p\/p**5))**3\/((p**1\/p)**(-23)*p**(-2)\/(p**(-5)*p*p)) assuming p is positive.\nAnswer: p**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*d**3 + 2\/7*d**5 + 0*d + 0 + 6\/7*d**4 - 6\/7*d**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/30)\/(2\/(-10)). Let h be c - (0 - -2) - -1. Suppose -3 = h*y - 21. Solve y = -r + 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424\/2226*(-9)\/(-2).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 24*v + 0 + 1.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t - 8. Is o(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331316 (base 7) in base 12?\nAnswer: 121981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130.2462 + 0.1938. Round j to zero dps.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01 times -239.7?\nAnswer: 242.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3712 + 7.51. Let p = t + -0.083. Round p to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11755?\nAnswer: 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 325133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + k + k = 8, -t = 4*k - 16. Solve t*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -85. Which is the nearest to o? (a) 2 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 - 5*u - 1\/24*u**4 + 0*u**2 - 1\/6*u**3. Determine h so that y(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2884685, 2884713, 2884741, 2884769?\n\"Answer: 28*j + 2884657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1*sqrt(117)*-2)\/sqrt(9) + sqrt(117)\/(6*3*sqrt(9) - sqrt(9)).\nAnswer: -16*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39281, -68053, -96825, -125597?\n\"Answer: -28772*h - 10509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663.4 minus 194639?\nAnswer: -191975.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 5 + 6 - 11 - 410*t - 3*t**3 + 343*t.\nAnswer: -3*t**3 - 3*t**2 - 67*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 85618, 85620, 85622?\n\"Answer: 2*h + 85616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 + 3. Let h = 53.5 + -52.5. What is the nearest to -0.2 in 6, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2 + 6*(sqrt(108) + sqrt(108)*-2)))**2 + -1)*5.\nAnswer: 11520*sqrt(3) + 311355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(2057) + (-2*sqrt(2057))**2*-2 + (sqrt(2057) - ((sqrt(2057)*-1 - sqrt(2057)) + 2)**2))*2.\nAnswer: -49386 + 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.76 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 194, 425, 748, 1163, 1670, 2269?\nAnswer: 2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 8*r**2 - 2*r + 19. Let k be v(8). Factor -4*p**3 - 13*p**2 + 12*p**2 + 20 + 10*p**2 + k*p**3 - 24*p.\nAnswer: -(p - 5)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 - 4*a + 29. List the prime factors of p(7).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208386 by -17.\nAnswer: -12258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -61 (b) -0.2 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -415?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (216\/171)\/3*(-1)\/4. Let j = 4 + -6. Which is the third biggest value? (a) m (b) -9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 2*h**5 - 3*h**5 + (-2 - 2*h**3 + 2)*(0*h + 0*h + h**2) - 23*h**2 - 9*h**5 + 23*h**2 + (-h**3 - h**2 + h**2)*(-3*h**2 + h - h).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126.0064 + -0.0936. Let d = y + 132. Round d to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23340.8 - 23340. What is the third smallest value in -5, 2, i, 1\/6, 1\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**2 - 14*f**2 + 21*f**2 + 3. What is the remainder when 154 is divided by r(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 + -6.89. Let z = -23.4941 - -24.29. Let b = z + k. Round b to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13671 and 129703?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 326, 4, -4, -6 in descending order.\nAnswer: 326, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {g: 4, y: 1, x: 2, q: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 + 5*i - 2. Let g be h(3). Let p = 18 + g. Calculate the remainder when 25 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*s**3 + 21*s**3 - 5*s**3)*(-11 + 5 - 3) as d*s + q*s**3 + f*s**2 + h and give q.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - ((3\/9)\/((-1)\/18) - -1). Is 58\/171 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000356403 to seven dps.\nAnswer: -0.0000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1032 - -3443423?\nAnswer: 4000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {a: 1, j: 1, z: 1, n: 3, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/352291 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 - 5*w + 3. Let p be i(6). Suppose -2*q = -163 + p. Let z = q + -44. Solve 0 = 5*v + 8 - z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 8*a**4\/3 - 2*a**3\/3 - 7*a**2\/2 + 11*a. Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.196 in 0.5, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 65*t**2 - 29*t - 553. Is p(46) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4202902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.99 + 0.01. Let n = 11 - t. Let g = n + 11. Sort g, 4, -4 in decreasing order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/7 - 78*o**2\/7 - 150*o\/7 - 74\/7 = 0.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 8, -2, 510, 2 in descending order.\nAnswer: 510, 8, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2 - 169*y + 193*y - 26*y. Let r(m) = m. What is j(o) + 4*r(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260661 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74724561187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-14)*(-26)\/6 and ((-2832)\/160 + 18)\/(9\/(-327)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a day in hours?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1196.979 to the nearest ten.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/2 + 843*z**2 - 8405*z\/2 = 0?\nAnswer: 0, 5, 1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -106.3. Let o = 1\/236 + -715\/1652. What is the closest to -0.5 in -3, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0.3, 12\/7, 31, -1\/5, 0.2 in descending order.\nAnswer: 31, 27, 12\/7, 0.3, 0.2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66911*s - 66908*s + 133817*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 8*q**2 + 13*q. Let a be g(6). What is the units digit of 4\/(-6)*a*(-158)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k - v = 5, 3 = -5*k - 4*v. Suppose 0 = 2*q + k - 3. Solve -q + 11 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 0.02732, 0.2, -7, 2 in descending order.\nAnswer: 2, 0.2, 0.02732, -1\/12, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4*280\/42)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -909030 by -6.\nAnswer: 151505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ppttpp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(8 + 3\/3). Let g = -3 + y. Let c(m) = -47*m - 2287. Calculate the remainder when c(-49) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 22*x - 150. Let f be q(-4). Sort f, -76, -45, -4 in increasing order.\nAnswer: -76, -45, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*n**2 + 1 + (-6 + 4*n + 6)*(-4 - 2*n + 4) + 1 + n**2 - 1 to h + r*n + x*n**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81935320 + 122*m**3 + 967740*m + 115*m**3 + 4745*m**2 - 935*m**2 - 348*m**3 + 116*m**3.\nAnswer: 5*(m + 254)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6) - 26\/12. Let b be (l\/(-9 + 3))\/1. Factor 0*j - b + 1\/3*j**2.\nAnswer: (j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 14\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*v - 138 = 54, -732 = 2*q - 3*v - 621 for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Suppose n*j = o - 29, 4*j + o = 7*j + 19. Let g be (14\/5)\/((-2)\/j). Solve -5*f + 29 = -3*w + g, -18 = -5*f + 2*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10072*d**3*s**4 - 13011*d**3*s - 42*d*s - 17*s**4 wrt s?\nAnswer: -120864*d**3*s**2 - 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - (-188)\/(-136). Which is the second biggest value? (a) -2\/9 (b) l (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6653664 (base 9) to base 11\nAnswer: 2024620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*g - 124 = -5*g, b - g = -41. Let i = -42 - b. Is (-381 - 0)\/(i - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606297400 a multiple of 3550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.76805442 and 7.\nAnswer: 5.37638094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -74. Suppose 4*g - 2*d = z*g + 8, -d - 4 = -2*g. Solve -5*m - 1 + 6 = g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 988325910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2156, -138, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let g = -2 + j. Which is greater: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269794347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10876 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = 4*m, -q - 4*q + 60 = 3*m. Let n = -7 + q. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 6:02 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -795.19 take away -0.1556?\nAnswer: -795.0344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 172*f**3 - 32*f**3.\nAnswer: -204*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 9*f + 7. Let s be q(-8). Is (1*-256)\/s + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11850 + -11587. Are o and 22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 + -20717244?\nAnswer: -20717301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*v**2 + 382*v**2 - 2*v**3 - 1195*v**2 + 377*v**2 + 11*v.\nAnswer: -2*v**3 + 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 570199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 2)\/(-3) - (-17)\/(-8). Which is the nearest to 5? (a) 3 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:22 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 2, j: 2, c: 3, f: 2, l: 2}. Give prob of picking 1 l, 1 c, and 2 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/772 and 3\/2509.\nAnswer: 10036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 10. What is the second smallest value in k, -7, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v - 16. Suppose 2*h - 4*z - 8 = 0, -4*h = -3*z + 2*z - 23. Calculate the remainder when f(4) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031210 (base 4) to base 3.\nAnswer: 20210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:35 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymyyyfymmmffyfym. Give prob of picking 1 m and 3 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 + -281. What is the smallest value in k, 4, 6.2, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31279 is divided by 10424.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*w**2 + 30*w**4 - 5612 + 5522 - 225*w + 5*w**5 - 10*w**5 + 30*w**3.\nAnswer: -5*(w - 6)*(w - 3)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 10. Let r be j(-7). Let f = 2 + r. Suppose -v + 3*v - f*o = 19, -34 = -5*v - o. What is the highest common divisor of v and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 + 123.2. Which is the closest to 0? (a) 4 (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-726)\/605)\/((-42)\/5). Which is the nearest to 0.1? (a) k (b) 15 (c) -19 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.917 - 0.037. Let g = -0.5 + q. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-147))\/(1\/(-9)). Let w be (-2 + 2 - 1)*-1. Which is bigger: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.049, 3\/5, -7, -2527?\nAnswer: -2527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 6 - 24 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(468) + 2*sqrt(468)) + (2*sqrt(468)*5 - (sqrt(468)*2 + 5)).\nAnswer: -13 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*i - 49, 3*m - 4 - 11 = 3*i. Let z = 6 + m. List the prime factors of z*3*(16 + -15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/5 + 3\/(-5). Solve q - 1\/3*u**3 - 1\/3*u**4 + 0*u**2 + 0*u = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -673975 - -1343975. Suppose 4*r - p = -6*r. Round r to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 51 + (-14880068)\/309838.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9016 - -11731598509\nAnswer: 11731589493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((5187\/(-18))\/13)\/(-21 - -26) and 43\/8739.\nAnswer: 87390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 4*u + 3*u)*(6 - 2 - 1)*(311 - 311 - 114*u).\nAnswer: -684*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/45 and -149\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 0.7109, -5, 2\/3, 0.1?\nAnswer: 0.7109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + (1*sqrt(135))\/sqrt(9))*2)\/((sqrt(140)\/sqrt(4))\/sqrt(7)*-4).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 0, 6163?\nAnswer: 6163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h - 60. Let c = 74.2 + -69. Let x = c + -4.7. What is the third smallest value in h, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - -5)*(-2)\/42*-7. Let t(p) = -15. Let c(s) = s**2 - s - 1. Give g*t(h) + c(h).\nAnswer: h**2 - h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19972528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z + 3*z**2 - 3*z - z - 3*z**3 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/4 + 2*r**3 - r**2\/2 + 8*r + 3. Let b be d(6). Find the second derivative of -2*s - s + b*s**5 - 2*s wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/600*h**6 + 0*h**5 + 0*h**7 + 0*h**4 + 0*h + 13*h**2 + 1\/1680*h**8 + 0 + 0*h**3. Let v(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4746 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 9. Let n be (3\/(-2))\/(u\/20). Solve 4*o + n*g = 0, 3*o = g - 2*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 13 = -3*u - q, 3 = q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((382\/(-3))\/1)\/(76\/(-114)). Suppose r = v - 133. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3058*s**3 - 1981*s**3 - 6652*s**3 + 5489 wrt s.\nAnswer: -16725*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122377201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 8*w - 1. Let d be f(1). Suppose d*k - 3 = u, -30*k + 5 = -25*k - 2*u. Put k, -84, -2 in decreasing order.\nAnswer: k, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3483 + 3501. Let g(v) = -v**3 + 17*v**2 + 17*v + 32. Give g(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1 - 6 + 8 - 6*p. Let t be y(-7). Suppose t = -5*v - 4*v. Round v to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 2. Is f*90 + 3 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -6 - -2 - (14 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 14, 2, -2, -20, 7\/3, 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 8. Let v = -8 - -14. Suppose p = -v*g + o*g + 32, 5*g - p = 66. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116274239*v**3 + v**2 + 169472422?\nAnswer: -348822717*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**7\/42 - 5*j**6\/8 - 4*j**5\/3 + 15*j**2 + j + 15. Let p(a) be the second derivative of n(a). Find y such that p(y) = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 14. Let a(b) = -4*b - 70. Calculate -3*a(r) - 16*k(r).\nAnswer: -4*r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -1501, -1768, -1715?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0741 + -46.8259. Let u = 47 + p. Let i = 340 + -6458\/19. What is the closest to -1 in u, 2\/7, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008046082 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o + 111 = 179*o - 107 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2760150.424 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 703177887 to the power of 1\/2, to the nearest integer?\nAnswer: 26518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -573969 + 983360. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -39 + 28 + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4488 divided by -68.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2598\/1299)\/((-105)\/77 + 3).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-21)*((-336)\/30)\/(-8))\/(4312\/(-8085))?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65091?\nAnswer: 3, 13, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5055 plus -33.1?\nAnswer: -5088.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46405 is divided by 15325?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446637, 893442, 1340225, 1786974, 2233677, 2680322?\nAnswer: 3126897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 16, m: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7 and 13\/1695?\nAnswer: 11865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**4\/6 - 34*k**2. Let p(f) = -49*f**2. Determine p(r(z)).\nAnswer: -784*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0 - 1\/15 - 2682750\/511875)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2 - 4. List the prime factors of -1 + v + 2 - -28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41.97836 litres?\nAnswer: 41978.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 6 - (11 + (74 - 130 - (-1 + 10)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 0.0705, -0.0228 in descending order.\nAnswer: 73, 0.0705, -0.0228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/12 - v**3\/6 - 5*v - 4. Let b be -5 + 3 + 1*7. Let a = b + -7. Let p(d) = d**3 - 2*d**2 + d - 1. Give a*m(z) - 2*p(z).\nAnswer: -2*z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**4 + 2*a**4 + 3*a**4 - 2*a**4 - 6*a**4 - 2*a**4 + (-4 - a**3 + 4)*(-a - 2*a + 2*a) + 4*a**3 + a**4 - 4*a**3.\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 + 3 + 2*z + z**3 - z - 3*z + z. Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdxd when four letters picked without replacement from dtxddtxtttd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 - 12*w**3 + 34*w**3.\nAnswer: 38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r**1)*r)**(-7\/11)\/(r*r**(7\/5)\/r*r*(r**6*r)\/r) assuming r is positive.\nAnswer: r**(-532\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.491 + -4.130931. Let s = -0.36 + n. Round s to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2 + sqrt(272) + sqrt(272) + sqrt(272) + -5)*-6)**2 + sqrt(272) + 0 + -4 + -5 + (sqrt(272) + -1*sqrt(272))**2.\nAnswer: -2588*sqrt(17) + 88441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -76. Solve w = 5*i + 24 - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -21*s**2. Let l(c) = -3*c**2 - 7*c + 68. Let r be l(-6). Let p(q) be the first derivative of -12 - 1\/2*q**r + 0*q. What is p(w(m))?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2*-2*(-1)\/8)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*o**2 - 345785 - o + 345785)*(-1 - 2*o**2 + 1).\nAnswer: -218*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6819840 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 799325473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 17*r**2 - 76*r - 23. What is u(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 + -83.32. Let f = 91 + w. What is the nearest to -1 in -6, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 - 596 = -49*x. Calculate the least common multiple of x and 161.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12988*m - 8078*m - 7523*m)*(0*m + m - 3*m).\nAnswer: 5226*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -1523 - 2831. What are the prime factors of p?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**2 + 32*h**2 - 203*h**2.\nAnswer: -136*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-644)\/4554)\/((-84)\/1080).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/30 + 2*g**2. Let n(j) be the second derivative of -5*j**4\/6 + 2*j + 7. Give n(h(z)).\nAnswer: -40*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160314125095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, o: 4, t: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1695, -6811, -15333, -27261, -42595, -61335, -83481?\n\"Answer: -1703*n**2 - 7*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 + -195. Suppose 2*c = 2*w + 484, c - 104 = 4*w + s. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**3 + 4. Let h(y) be the second derivative of -y**5\/20 + y**2\/2 - 6*y - 3. Give 4*h(x) - r(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c + 1. Let j be n(3). Suppose -14*r + 5*r**2 - j + 8 + r**2 = 0. What is r?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**5\/6 - 17*s**4\/36 + 2*s**3\/9 + 396*s**2. Factor x(f).\nAnswer: 2*(f - 1)*(15*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*j = -26, 0*q = q + j - 2. Let i = q - 4. Solve -i*c + 2*r = 0, 4*c - r + 1 = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = -1. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6*z - 20 = -2*z, 3*s + z + 14 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -222?\nAnswer: -19.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1415 and -3\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 57946?\nAnswer: 2\/28973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6ba1a84 - -10?\nAnswer: 6ba1a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32842554.\nAnswer: 2, 3, 73, 167, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2. Let g(f) = -6*f**2 - 1642*f + 2. Calculate g(t(n)).\nAnswer: -24*n**4 + 3284*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8 and 1.23543.\nAnswer: -4.694634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*6*4\/(-8)*((-37)\/(-3))\/(-37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y + 5*y + (0 + 0 - 5)*(2 - 1 + 8*y - 2).\nAnswer: -35*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 353 - 4295\/12. Calculate the common denominator of u and 139\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -538672, -1077346, -1616020, -2154694, -2693368?\n\"Answer: -538674*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9590299714.8 - -0.065.\nAnswer: -9590299714.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*m - 25, 2*b - 5*m = -2*m + 7. What is the second derivative of 3*p**b - p**5 + 3*p**5 - 2*p**5 + 2*p wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/19)*d*(d*(d*d*d**(13\/2)*d*d*d)\/d)\/d*d*d\/(d*d*d**(-17\/2)*d)*(d*d\/d**(-1\/12))\/d assuming d is positive.\nAnswer: d**(4591\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 + 6*k + 21. Determine p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -228 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -1, 5, -2, 23 in increasing order.\nAnswer: -6, -2, -1, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -1*sqrt(76) + 4 + 4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 2*r. Let m = -4 + r. Suppose q - 3*b - 27 = 0, -839 = q + 2*b - 826. Solve q*c + m - 7 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) + sqrt(156) + sqrt(156)*-1)*5)*3)\/(6*sqrt(120)\/(-2*sqrt(10))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j. Suppose -12 = -2*p - j*p. Calculate the lowest common multiple of 22 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*n**3 + 164465*i*n**2 - 5*i*n - 40*n**3 + 2*n**2 + 56*n + 134 wrt i.\nAnswer: 2*n**3 + 164465*n**2 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/27, 3466620, -5 in decreasing order.\nAnswer: 3466620, 2\/27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460352508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -o - 4 + 5, 4*z + 5*o - 17 = 0. Let d be 1*(z + 2)*3\/(-9). Solve d = -0*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26884.836509 and 0.\nAnswer: 26884.836509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*x + 40, -f - 4*f + 50 = -5*x. Calculate the highest common factor of 200 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -18. Let o be (-13)\/g + 3\/12. Which is the third smallest value? (a) 4 (b) -0.3 (c) -0.5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + (-1360)\/(-48). Let t be (-16)\/d - -2*116\/14. Solve -t = -5*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*t = -600*t - 72 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + s - s**2)*(-2150*s + 740*s + 554*s) to i*s + k + b*s**2 + g*s**3 and give g.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 126*m**2 - 59534*m - 215. Calculate a(189).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 3:29 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435575 (base 10) to base 11.\nAnswer: 278288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 15, 9, -15, -18, 1.\nAnswer: -18, -15, 0, 1, 4, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18983*d - 18708*d + 2 - 3869*d + 13893*d - 2.\nAnswer: -27667*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*z**3 - b**3*z**2 - 3*b**3 + 27*b*z**6 + 10*b wrt z?\nAnswer: -24*b**3 + 3240*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16f (base 16) in base 7?\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1 + -4 + 7. Suppose 5*f + 4 = -3*i - 129, -b*i + f - 121 = 0. Let s = i + 59. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**2 + 19*w**2 + 16*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 2*n + 5. Let j be i(0). Suppose -j*b + 407 = 3*k, 3*k - 2*b + 6*b - 403 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 41\/1720.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + 17*r - 17. Suppose -5*h + 9*h - 136 = 0. Let a = h + -32. Let q(y) = 5*y**2 + 6 - 5*y**2 - 6*y + a*y**2 - 4*y**2. What is -4*g(v) - 11*q(v)?\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11807 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4703 + -199. What are the prime factors of l?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 - 422*g - 8907. Calculate r(-43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2. Let m(v) be the second derivative of -v**7\/2520 + v**6\/180 - v**4\/3 + v**3\/2 - 60*v. Let x(b) be the third derivative of m(b). Give x(t(u)).\nAnswer: -25*u**4 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444\/(-41)*2\/5*40\/(-48)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 790920 by 40.\nAnswer: 19773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*u + u - 2*b, 2*u + 5*b = 38. What is the smallest common multiple of u and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2\/3 + 20944*v\/3 + 27415696\/3 = 0?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 8*b - 2. Let h(m) = -6*m**2 + 54*m - 113. Let x be h(6). Determine d(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3\/3 + 7*m**2 - 36*m - 186. Let s be r(10). Suppose -2\/3 + 1\/3*y**s + 1\/3*y**2 - y**3 + y = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4, -z - 7*a + 17 = -9*a. Suppose 4*j - 2 - 2 = -4*p, 5*p = -2*j + 11. Let c = z - p. Solve 4*t + k - 3 = -20, 2*k = -t - c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let n(q) = 908838*q + 47. Determine x(n(v)).\nAnswer: 908838*v + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 18*l**2 - 40*l + 9. Determine b(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*s. Let h = -5.04513 - -0.04513. Which is the third biggest value? (a) s (b) h (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/17952 and 55\/1408416.\nAnswer: 15492576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + z + 2*z. Suppose 3*c + 6 = 0, 3*i + 0*c = -c + 10. Let j(d) = -3*d. Let r(n) = n**3 - 6*n**2 - n + 5. Let w be r(6). Give i*f(y) + w*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54024699.\nAnswer: 3, 37, 181, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 918\/408*2\/(-3). What is the nearest to -0.1 in 1\/4, -0.3, b, 39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 61113?\nAnswer: -61116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let v be a(-2). Let i(j) = -j**2 + 3*j + 4. Let d be i(3). Let t(x) = -2*x**3 + x**2. Let s be t(-1). Put d, v, s in decreasing order.\nAnswer: d, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x - 442288 = -441904 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - g + 3 = -2, g = 4. Let u be 3 + s*4 + 1. Let j = 3 + u. Let y(c) = 2*c - 1. Determine y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -29*u**2. Let x(y) = 56*y - 10. Let s(p) = 28*p - 4. Let b(o) = -5*s(o) + 2*x(o). Calculate b(c(g)).\nAnswer: 812*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -607\/6. What is the common denominator of (-2748)\/1296 + (-6)\/(-72) and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/3*21\/144 + (-8)\/(1184\/(-259))?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a decade in months?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(3) - (sqrt(117) - 2*sqrt(117))) + (sqrt(117) + 5*-2*sqrt(117))\/sqrt(9).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3371 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5\/3 - 25191*n**4 - 75566*n**3\/3 + 453436*n**2\/3 + 100760*n - 604576\/3 = 0.\nAnswer: -75572, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put together -23771 and 0.4.\nAnswer: -23770.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1628 and 59190824.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18, -7, -4, 2\/21, -7977?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3130 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/4)\/((168 + -12)\/13).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -19) + 38 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*c + 3. Suppose -2 = c*x - 10. Solve 0 + x = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d = 5*v - 19, 2*v - 10 = -d. Suppose 4*y - 3 = 5*j, -2*j - 2*j = -d*y + 4. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2651 and -2651 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1075 (b) 4\/77 (c) 1\/7 (d) -1 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(512))**2 + (sqrt(2) - sqrt(14)\/sqrt(63))*5.\nAnswer: 10*sqrt(2)\/3 + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150918 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/365 and 49\/195056?\nAnswer: 975280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v\/(v**5*v)))\/v*v*v*v**15\/v*v)\/((v*v**(-11))\/(v\/(v*v**(2\/9)))) assuming v is positive.\nAnswer: v**(295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 21*g**2 + 37*g + 121. What is a(-5)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**8\/336 + o**6\/90 + 2*o**3\/3 + 7. Let t(y) be the third derivative of u(y). Find the third derivative of t(w) wrt w.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 87. Let t(i) = 17*i. Let m be t(1). Let y = q - m. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -15757?\nAnswer: 220598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxqjqxjqy. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 8*k**2 - 1. Let c(h) = -h - 1. Let d(l) = -5*c(l) + q(l). Let t be d(7). Let x = t + 36. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 27*n**3 + n**2 - 2*n + 1. Calculate q(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368, -1458, -3274, -5816?\nAnswer: -9084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.9. Let o = 2 - 4. Let n = 2.2 + o. Is n < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + d)*(-60 + 129 - 23 - d + 3 - 2*d - 3 + (-3*d + 0*d + d)*(-1 + 6 - 4) - 2*d - 1 + 1) + (d - 2*d + 3*d)*(0 + 3*d + 0).\nAnswer: -d**2 + 46*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 267, 542, 837, 1152, 1487?\n\"Answer: 10*p**2 + 245*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f + 4*f + 8*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3058 is divided by 762.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (140*d**2 - 149*d**2 - 1 - 19)*(1 - 1 + 2*d - 2) as r*d + v*d**2 + f*d**3 + k and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*o - 562573*c + 562578*c, -4*c - 9 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 10*l**2 - 25*l - 6. What is a(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 1\/4, 1\/5, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 0*d**3 + 8*d**2 - 17*d**2 + 0*d**2 - 10 + d**3 + 20*d. Let m be u(6). What is the greatest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**15\/t*t*t)\/t*t)\/t**11)\/((t*t\/t**13*t*t)\/((t**(-22)*t)\/t)) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/4, -5, 2\/5, 302?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.763 + -5.247. Let g = n - -44.9. Let i = g + -0.59. What is i rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150648 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.3089 rounded to zero dps?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19082*u**6 + 526*u**2 + 6*u - 215*u**3 - 812*u**3 + 9542*u**6 + 9542*u**6 wrt u.\nAnswer: 240*u**3 - 6162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-15) - (-8)\/(-10). Is 3*(0 + k)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 169 = 3*x - o, 3*x + 5*o - 509 = 0. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 6*a + 85. Let m be n(-5). Solve -1 - m = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 10, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 1. Let x(w) = -7*w + 7. Suppose -3*k = -5*b + b + 30, k + 14 = 2*b. Let n(f) = b*x(f) + 39*j(f). Let z be n(1). Put -7, 2, z in descending order.\nAnswer: 2, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 17*b + 15. Let f be s(-16). Is f <= -3\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = -5*d, -4*s = -s - 2*d - 16. Suppose 3*y = -2*u + 14, 11 + 4 = 4*y - u. Solve 9 = 5*j + 3*f, 0*j + s*f - 4 = -y*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/33 - -37\/66. What is the nearest to p in -3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-24)\/128). Suppose 3*l - 33 = -r*l. Solve 0*q = l*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2 - 18. Suppose 3*a + 12 = -0*m + 3*m, -u = 2*a. Suppose -m*z = -z. Solve -s + 1 + 0 = z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 8. Determine i(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*c + 0*c**2 + 339*c + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20.91 and 0.3.\nAnswer: 21.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 16*l - 20. Let c = 3 - 41. Let f = -21 - c. Is u(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q - 3*q**4 - 9 + 12*q - 14*q**3 + 8 in the form r*q**2 + b + d*q**4 + v*q**3 + a*q and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*l + 3 = -4, -8*k = -5*l - 49 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-4 + 7) - (23 + -13)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 46*v + 82*v - 4015 - 1183 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = u + 21, -2*u - 2 = -g + 3*g. Let n be ((-4)\/u)\/((-2)\/(-10)). Let a = 605.47 + -605.97. What is the third biggest value in -2, a, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/91)\/(((-3)\/78*1)\/(30\/60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 12. Let m(t) = -9*t - 35. Calculate 4*m(u) - 11*q(u).\nAnswer: -3*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697710, -1395421, -2093132?\nAnswer: -2790843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.863957 times -0.1\nAnswer: -0.0863957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/7728 - 22105\/4304496. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8360*h**2 + 16716*h**2 + h**3 - 8356*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 20*u**5 - 18*u**5 + (35 + 15*u - 35)*(3 + 3*u**2 - 3)*(7*u**2 - u**2 + 0*u**2).\nAnswer: 233*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/2 - 52815*u\/2 - 554778 = 0?\nAnswer: -21, 52836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 121660 (base 8) to base 3\nAnswer: 2010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, -3, 3.\nAnswer: -20, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79604 and 3738545?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3603684 + 105.6391616. Let x = 96 + -202. Let k = x + f. What is k rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b = 0. Let c = b + 2. Is c*(-1 - (-219)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*38463\nAnswer: 11538.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:19 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1 + 2. Suppose x + 3 = -f, 2*f - 6 = -x + 5*x. Let v = x + 7\/3. Which is the nearest to 1\/4? (a) t (b) 5\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, p: 8}. What is prob of picking 2 f?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 - 2*m + 5. Let j be g(7). Let d = j + 154. Let z(h) = 9*h + 88. Calculate the remainder when d is divided by z(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1\/178, 2873 in ascending order.\nAnswer: -1\/178, 1\/6, 2873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 9.\nAnswer: -5, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3*(-357)\/(-476)*6)\/((-2)\/42).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 596, 604, 612, 620?\n\"Answer: 8*f + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 68. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -8376\/5*m**2 + 3344*m - 11136\/5 + 1404\/5*m**3 - 2\/5*m**4 = 0?\nAnswer: 2, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -115425*s + 21. Give i(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(1920*l - 305 + 605 - 300) + (2*l + 2 - 2)*(-1 + 2 + 1).\nAnswer: -3836*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(128)*-4 + sqrt(128))\/sqrt(2))\/(3*sqrt(56)\/(sqrt(42)\/(sqrt(6)*1))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/16 + 15 + 7\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4660.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csbxcczc. What is prob of picking 1 z, 1 s, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 0 + (1*sqrt(17) + sqrt(17) - sqrt(17) - sqrt(17)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - 5*sqrt(204)*5) + sqrt(204))\/sqrt(12) + -2 - (3 + -1*sqrt(68)*-4))*1.\nAnswer: -31*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2693.1 + -2693. Which is the nearest to -1\/2? (a) -5 (b) j (c) -2\/17 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 109) + (-429 - -477).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 17*j**2 + 124*j + 789. Let a be v(-12). Calculate the highest common factor of a and 4739.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 10*o + 9. Suppose -751*x + 811*x = 180. What is s(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113925 and 5859?\nAnswer: 1025325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p + 0*p + 23*p as j + d*p and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -0*r + 3*c + 19, -4*r - 1 = -3*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12041 = -2367. Let z = 12 - 22. Is ((-5)\/z)\/((-1)\/v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -4*j - 5, 0 = 3*j - 3. Suppose h*o + 3*n + n - 45 = 0, -4*o + 35 = 3*n. Solve 2*m - 2*w = 0, 0 = o*m - 3*w + 10 - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 8 = -4*o + 4*x, 3*o = -5855*x + 5853*x + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203264, -203265, -203266?\nAnswer: -203267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 1 + 11 - -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -24 - -31 - 24\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:35 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 divided by -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 793 = -5*l, 0*l = -4*l - 2*s - 630. Let i be (-4)\/(-18) + l\/(-18). Suppose -i = -3*u + 42. Calculate the remainder when 49 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -34. Suppose -3*t - f = -43, 6*f + 25 = 2*t + 3*f. Suppose 3*s = r + t. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11285 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 7*y - 41. List the prime factors of r(-28).\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 19, n: 1}. What is prob of picking 1 b and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:50 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -470554*d**3 + 219*d + 867403552.\nAnswer: -1411662*d**2 + 219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 228875434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:06 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1794 - -1800. Let u(t) = t + 1. Let c(a) = -6*a**2 - 6*a - 6. Determine d*u(b) + c(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3583 + -3582.5086. Round q to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from {g: 3, v: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 342, 341, 340?\n\"Answer: -o + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/842 - -7891\/263546. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/74321250 and 53\/1486425?\nAnswer: 74321250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 21936120.\nAnswer: -131616720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -518 times 0.033\nAnswer: -17.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, q: 1, y: 2, e: 4, o: 2, z: 1}. What is prob of sequence izq?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 176. What is the nearest to -2\/5 in -2\/9, 4, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/2 (b) 4\/5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*h - 10, h - 12 = -14. Calculate the remainder when 16 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/(-6099) + -10 + (-960)\/(-95). Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3 - 3)*(1 + 1 - 4) + (-13 + 38 + 65 + 79)*(-9*l - 7*l + 1 + 13*l).\nAnswer: -509*l + 169","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -172. Let p = m + 122. What is the greatest common divisor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2 and -101\/115764.\nAnswer: 115764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:02 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10069038, -10069039, -10069040?\n\"Answer: -l - 10069037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56841262?\nAnswer: 2, 28420631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.6 (b) -261 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -412\/99285?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 6*h**2 + 29*h + 9. Let z be s(9). Let b = -10 + 17. Let m = z - b. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/20 - -10 - 9\/(135\/(-56))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/(-3)*153\/510)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 240 = 2*f. Let d = 118 - f. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8070 divided by 5.\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 333, 977, 2233, 4305, 7397, 11713?\nAnswer: 17457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1077003 smaller than -1077002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 2\/7 (c) -1\/5 (d) -12 (e) 14249\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 72 + 18 + -126 + -69\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 2*d + 122 - 149, 4*b - d + 21 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -26*j. Let o(h) be the third derivative of 0*h**3 + 0*h + 0*h**4 + 0 + 1\/60*h**5 + 11*h**2. What is o(w(p))?\nAnswer: 676*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5032*w - 64573. What is t(-13)?\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6 + 9. Suppose 2*i - c = 3*i. Let k = 33\/4 + -8. Sort k, i, -2 in descending order.\nAnswer: k, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 467429550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 2, a: 2}. Give prob of picking 1 g and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6881120 and 176.\nAnswer: 75692320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 7*m**2 + 3*m - 9. Let h be c(5). Let b = h - -230. Is b a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-210))\/((-20)\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*p, 4*g - 3 - 19 = 3*p. Let i be (80\/24)\/((-5)\/p). Let -20\/3*o + 25\/3*o**2 + i = 0. Calculate o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/16 and 31\/1142.\nAnswer: 9136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -292 - 23. Suppose s + 1 = x - t, -125 = -5*x + 2*s. What is the greatest common divisor of x and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 8703919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -339*x - 2373. Determine o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/(-2*1)*129\/((-26703)\/(-46))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*y**6 - 3*f*y**4 + 17*f + 2*y**5 - 14*y**2 wrt y.\nAnswer: 240*f*y**3 - 72*f*y + 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-130)\/(-4)*(-48)\/15. Calculate the common denominator of ((-4355)\/50)\/13 + (-1 - -1) and 72\/24 - h\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 0)**2 + (-1*sqrt(15))\/sqrt(3).\nAnswer: -sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*z + 4*z. Let i be 12 + 0*(-3 + z). Solve -5*q + i = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69aa10 (base 14) to base 3.\nAnswer: -20210000011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5362750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 21*g + 511*g**2 + 0.\nAnswer: 511*g**2 + 21*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 times 3?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000912207 rounded to 6 decimal places?\nAnswer: 0.000912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 14 - 18. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154403 + 2?\nAnswer: 154405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 1001011?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3770 is divided by 151.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-28)*(i**3\/i)**(-3\/38) assuming i is positive.\nAnswer: i**(-535\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3 - 434*m - 158 wrt m?\nAnswer: 3*m**2 - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92180\/32697 + -16\/3633. Suppose 0 = -3*i - 17493 - 1458. Let t = i + 113647\/18. Find the common denominator of t and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 12. Let x = -4 - o. Let g(z) = z - 6. Let v be g(6). Solve v = x*w + m + 16, 4*w + 6*m - m - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -2 - (-3 + -12). Suppose -82 + 511 = 3*p. Calculate the greatest common factor of q and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45917 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11131 - 5743. Let p(h) = -2696 - 2*h + z - 2692. Let y(b) = 34*b**2. Determine y(p(q)).\nAnswer: 136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.7, -2277, -3, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*x + 80 = -940*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/14*(-1424)\/801.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 28 - -45 - 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + 23. Let d = l + -48. Let u = d - -15. Let x(q) = -q**3 + 9*q**2 + 10*q - 2. Determine x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2210456147 + 0.1.\nAnswer: -2210456146.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.7906kg to micrograms.\nAnswer: 378790600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g + 1. Calculate m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 0*u**2 + 4*u**2)*(-37060 + 37060 - u) + (1 - 1 - 2)*(-u + u + 2*u**3).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 + -4 - 2) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 6. Let u be p(2). Solve t - y = 3*t - u, -4*t + 5*y = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1801? (a) -15\/2 (b) 5 (c) 0.053 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y)**(-4))**(-27)\/(((y\/((y*y*y\/y**(2\/15))\/y*y)*y)\/y*y**(-1))\/(y**0)**27) assuming y is positive.\nAnswer: y**(-1982\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -45, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -47*y**3 + 2*y**2 + 5*y + 6. Let h be p(-2). Suppose -2*c + 6*c - h = 0. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 4*i + 3. Let k(t) = t**3 + 5*t**2 + 4*t + 4. Let v be k(-4). Is n(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*-2*(-9)\/(-4). Let m = q - -159. Suppose -3*p + 4*a = -m, 0 = -a - a + 6. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1\/4*4)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303768 to the power of 1\/2, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 3*z**3 + 48\/5*z**4 + 27\/5*z**5 - 6\/5*z**2 + 0.\nAnswer: 3*z**2*(z + 1)**2*(9*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 540949 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 747575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 60?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8524*i*v**3*y + 14*i*v**2*y + 2*v**3*y + 2*v**3 + 3*v**2 - 68*v wrt v?\nAnswer: -51144*i*y + 12*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 16. Let b = o + 593. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 1) + (89 + -106 - -75)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w. Let a(v) = -v**2 + 3*v - 3. Let y be a(2). Let m = y + -6. Is i(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236427 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28122.\nAnswer: 2, 3, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - s + 17 - 52, 2*j + 4*s = -10. Let f be j + 15 - (1 - 0). Which is smaller: -1\/18 or f?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - b**3 + 0*b**3 + 1 - 20*b**2 + 20*b**2 - 10*b**3 + (4 - 4 + 2*b)*(b**2 - b**2 - b**2).\nAnswer: -13*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 8\/321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 7. Let r be (-5)\/(-1) + (-1 - -1). Let a be o(r). Solve -a + 0 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628412.\nAnswer: 2, 3, 135701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 141994343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 6:25 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -17. Let a = -7 + k. Suppose -a*o = -3*o - 35. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52749.\nAnswer: 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d**2 + 124*d - 192 = 0. Calculate d.\nAnswer: 3, 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28862106 divided by -78?\nAnswer: -370027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3258, -26091, -88068, -208761, -407742, -704583?\nAnswer: -1118856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18486718 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -135. Calculate the remainder when 104 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66235, -66321, -66521, -66835, -67263, -67805?\nAnswer: -68461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 0 + 0*i**2 - 20*i**3 - i**2 - 1 - 2*i**4 to o + v*i**2 + y*i**4 + q*i + j*i**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:17 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2981.7387 to the nearest ten.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1429633?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*r - 101*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(147) + 1)**2 + (sqrt(24)\/sqrt(2))\/sqrt(4).\nAnswer: 15*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*t - 6*t + 7*t**2 - 4*t**2)*(-t**2 + 2*t**2 - 2*t**2) - 2*t**4 + 0*t**2 + 0*t**2 to the form l*t**3 + b*t**4 + i*t**2 + u*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 1. Let l be g(3). Let i be (-2 + 3)*(0 - l). What is the second derivative of -4 + a**i + 4 + 2*a wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 5*p + 4*p + (3 - 4 - 1)*(-21 + 10*p + 21) - 3*p + 2*p + 0*p)*(p**4 - 2*p**4 + 2*p**3 - p**3).\nAnswer: 23*p**5 - 23*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7495707 is divided by 104?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w - 0*w - 24. Suppose -3*o + o - 2*n + 16 = 0, -4*o + 22 = 2*n. Calculate the lowest common multiple of (-1)\/(w - 24\/(-9)) and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -8 + 4 + -6 + -2 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1241, 2483, 3727, 4973, 6221, 7471?\nAnswer: 8723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2510\/129?\nAnswer: -2510\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -99127759.\nAnswer: -99127761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*l. Suppose 8 = -4*c - l*c. Suppose 0 = 4*i - 2*i + 2. Which is greater: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179955 by 215.\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/9*(-3 + 4 - -2). Which is bigger: -12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -407, -397, -373, -329, -259, -157, -17?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-2790)\/20)\/(-3))\/3)\/(91\/(-364))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2186618 + 0?\nAnswer: 2186618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -2 (c) -0.1 (d) 3 (e) 9 (f) -0.83\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - ((-8)\/(-36) - (-47)\/(-9)). Suppose -5*t - 5*m + 2680 = 0, 0*t - n*t = 5*m - 1066. Is 50 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 2.08. What is the nearest to 2 in t, 0, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -31. Let p be (-40)\/((w\/(-18))\/7). Suppose o = -3*o - p. What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -19*i - 4*m + 28, m = -4*i + 18. Suppose -3*n - 186 = -5*a - 2*n, 5 = -5*n. Solve -38*w = -a*w + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96684612 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - 3\/2*w**2 - 3*w.\nAnswer: -3*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**3 + 18*k**2 - 3*k + 15. Let q(m) = -11*m**3 - 17*m**2 + 4*m - 17. Determine -2*q(g) - 3*y(g).\nAnswer: -2*g**3 - 20*g**2 + g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5210912?\nAnswer: 2, 7, 43, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:32 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/2*8\/(-5). Is 257 + 0 - (-120)\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/5 + j = 0. What is j?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.33507 rounded to 2 decimal places?\nAnswer: -10.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*w + 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1524544 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 d when three letters picked without replacement from ssdsds.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**3\/24 + 63*s**2\/16 + 65*s\/4 + 630. Find x such that q(x) = 0.\nAnswer: -2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 581 + 168 + 165 + 57*t**2.\nAnswer: 57*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 + 0 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/351 and 16?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/15 + 14896472*q - 416071646337720.\nAnswer: -2*(q - 55861770)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-8 + 4 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4179988, 4179982, 4179976, 4179970?\nAnswer: 4179964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -14. Calculate the least common multiple of v and (1 + 0\/5)*16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -57*k + 3574. Let f(i) = 4*i - 3. Let j(z) = -4*f(z) + o(z). What is the derivative of j(r) wrt r?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:56 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 31. Suppose 14 = -a + t. Let l = 400 - a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**4 - 135*s + 62*s - 2*s**3 + 72*s + 2*s**4 + s**3 + 4*s**2 - 12 to the form b*s**4 + r + j*s**3 + h*s + w*s**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 889623 and 9681.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvnnv. What is prob of picking 2 n and 1 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34440121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -29. Suppose -y + 151 = -3*d, 0 = -2*y + d + d + 314. Calculate the greatest common factor of y and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - b**3 + 3*b - b - b**3 + b + (-6*b**2 + 2*b**2 + 3*b**2)*(0*b - b + 3*b) + 3*b**3 - 3*b - b**3 + 2*b.\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6923525 not equal to -6923523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 93208372*z + 93214983*z + 1.\nAnswer: 6611*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24880893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1) + 0 + -19. Let j be (-4)\/(-18) - 50\/q. Solve 4*l = j*m - 6*m + 15, -16 = -4*m - 4*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 4*j + 272 = 0, -5109*h + 5104*h - 5*j = -390 - 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 468 = 34*c - 94*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 11 = 21. Suppose 4*j - 1 = 3*x, x = k*j - 3*j + 9. Find the third derivative of 5*m**2 - 7*m**3 - 2*m**2 - 5*m**2 - j*m**2 wrt m.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + g - 156, -12*g = 7*z - 16*g - 250 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 141, 210, 279, 348, 417?\n\"Answer: 69*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*n - 12*o + 15*o, -2*n = 2*o + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296424 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: Let b = 19 + -11. Let z be 51 + -49 + (2 - 2*-2). Is z < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 2*z)*((z**2 + 0*z**2 + z**2)*(-22*z**2 - 4*z**2 + z**2) - z + z + 8*z**4).\nAnswer: 42*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -1 - 3) + -6. Let s = -9 - x. Suppose 3*p + y + 16 = 0, 0*p + 4*y = -4*p - 32. Which is the third biggest value? (a) s (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 56, 92, 126, 152, 164?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20605476, 20605459, 20605416, 20605335, 20605204, 20605011?\n\"Answer: -2*s**3 - s**2 + 20605479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 367\/9 - 41. Let i = -140 + 140. Put i, -1, z in increasing order.\nAnswer: -1, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3713 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1\/g))**(-2\/13)*(g*(g\/(g**0*g*g)*g*g*g*g)\/g)**(-22\/5))**(-50) assuming g is positive.\nAnswer: g**(8680\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 18 - 18)*(367*c + 20*c**2 - 367*c).\nAnswer: -520*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/24587136 and 71\/504?\nAnswer: 24587136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 7*b - 13. Let q be u(-9). Suppose q = p, -2*p - 2 = -3*n - n. Solve 5*r - n*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185840851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0 + 500\/7*z**2 - 184\/7*z**3 + 688\/7*z + 4\/7*z**4 = 0.\nAnswer: -1, 0, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.161 - -0.3682136?\nAnswer: 0.5292136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 1535*q - 6115. Determine r(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 2*w + (2 + 2 - 3)*(0*w + 2*w - 3*w))*(-1215*w + 30544 - 30544).\nAnswer: -1215*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p - 8. Let o be k(-2). Suppose 81 = -o*x - 4*t + 645, -425 = -3*x - 5*t. Suppose -n - 7 = -2, 2*n - x = -3*d. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d**2 - 10*d - 5. Let s be u(6). Let o = 490 + s. What is the remainder when o is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -120?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 18444 (b) 2\/9 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 96 = 2*s, 99 = 2*u - s - 3. Let i(r) = r**2 - r + 3. Let h be i(0). Suppose -2*m = h*m - u. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -24\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0 - 13 = 2*q, -q + 5*p - 19 = 0. Let c = 6 - q. Sort 5, -5, c.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 7*s**2 + s - 9. Let a be f(7). Let y be ((-3 - a) + 2)*-1. Let k be y*2\/4*-4. Solve -k*u = -5*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 0.3. Let z = 141.7 + -142. Which is the nearest to i? (a) z (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (-1*sqrt(66) - sqrt(66) - sqrt(66))*-1)\/((sqrt(60)\/sqrt(2))\/sqrt(5)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -33?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232692644 and 40.\nAnswer: 2326926440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + a + 4. Let s be j(0). Find the first derivative of -4 + 3*f**3 - f**3 - s*f**3 wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**4 + 16*u**3 - 123*u**2 - 3. Let l(h) = -h**4 + 34*h**3 - 245*h**2 + h - 5. Let d(s) = 3*l(s) - 5*r(s). Find the third derivative of d(a) wrt a.\nAnswer: 48*a + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1644, -6574, -14792, -26298, -41092?\nAnswer: -59174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 5*z - 29 - 16 - z**3 - 4*z - 8*z**2. Let s be i(-7). Let l(g) be the second derivative of 5*g**3\/6 + g**2\/2 + g. What is l(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2232 + -0.0768. Which is the closest to -24? (a) -9 (b) -2\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000082931422 rounded to seven dps?\nAnswer: -0.0000829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.28546266.\nAnswer: -0.85638798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -4. Suppose -u*f + 90 = -25. Suppose k - f = 1. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (17 + -3 + 7 - 67)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 9. Is 1 + 1 + (u - -379) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 1.1. Let d = r + -0.8. Suppose 86*c = 122*c + 72. Put c, d, 2 in descending order.\nAnswer: 2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*s + 10, 0*u - 5 = u. Sort -4, -3, s in ascending order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -52. Suppose -19 = 2*u - t. Is 4\/(-28) + 1220\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 11. Round y to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2079318 and 2079318 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-13164)\/(-1512) + 4\/18)\/(58\/(-11165))\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**3 - 15*b - 15. Let p = -17 - -2. Let i(c) = 0*c + 17*c + 2 + c**3 - 6*c - c - 5*c - 3*c. Give p*i(m) - 2*n(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c = 3*b - 17, 0 = 4*c + 20. Suppose -b*x = -2*v + 97996, -5*v = -6*v + 5*x + 48995. Round v to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 - 24*h**2 + 110*h + 300 = 0.\nAnswer: -15, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42160 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 116*j + 4 + 2 + 5 - 110*j. Determine n(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.9, 2\/73, 1\/8, 2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*y**4 + 124*y - 18*y + 3*y**4 - 225*y**4 wrt y.\nAnswer: -2316*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -20. Let s(t) = -t**2 + 0*t - 2*t - t. Let p(c) = -c**2 - c. Let y(h) = n*p(h) + s(h). Let f(g) = -3*g. Give y(f(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -7. Let v be 8\/(0 + 4) + 3. Let s(h) = 4*h + v*h - 3*h - h - 4. Let w(d) = 4*d - 3. Give c*w(t) + 3*s(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 222 = 43*d. Suppose -67 + 85 = -d*c. Let t(h) = 15*h + 5. Let l(r) = 7*r + 2. What is c*t(s) + 7*l(s)?\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -42442 (base 5) to base 12\nAnswer: -17b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1418018563 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccumcmucu. What is prob of picking 2 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 28339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 182*k**3 - 66*k**3 + 123*k**3 + (-k**3 + 3*k**3 + 0*k**3)*(2 - 5 + 5) + 0*k + 0*k - 11*k**3.\nAnswer: 232*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 3*d - 4. Suppose -2*y - 4*i + 23 = -y, 5*y + 2*i - 25 = 0. Let f(n) = -2*n**2 - 2*n - 3. Calculate y*q(h) - 4*f(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**8\/1008 - l**7\/630 - l**6\/72 + l**5\/36 + l**4\/18 - 2*l**3\/9 - 739*l**2. Suppose s(t) = 0. What is t?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, c: 1, n: 4, m: 5}. What is prob of sequence qc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + b = 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 74865 = 5*q, 0 = 3*q + 18*p - 17*p - 44911. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1231 + 1230.98644. What is s rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(((-7232)\/(-24))\/(-113))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766403 is divided by 766357?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7788527.03 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12 and 6\/(-18) + 139\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4. Sort p, -5, -4.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1. Let n(o) = -2*o - 91 + 44 + 51. Let d(c) = -5*a(c) + n(c). Calculate d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 26272\nAnswer: -7\/13136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4202*q - 4200*q = -12, -3*v + 5*q + 32 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305 + -283. What is the remainder when 171 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 267.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, d: 2, x: 1, p: 1, w: 1}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 59*s**2 - 567*s - 216. Let g be h(66). What is g rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 1480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3 + 52\/(-18)). Suppose p + 39 = 4*q. Solve -k + 5*k = -q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let i(k) = -3*k**2 - k**3 + 2 - 2 - k + 0. Is i(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42490.\nAnswer: 2, 5, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 77. Let y = 15 - u. Let h = y - -19. What is the remainder when 3 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 7*v - 6 = 4*z, 3*v = -3*z + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 882 and 459.\nAnswer: 44982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 690*c. Suppose 3*p - 37 = -1. Suppose 0 = 4*l + 28 + p. Let x be a(l). What is x rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 15\/(-10))*(0 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -461, -918, -1375?\n\"Answer: -457*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdddmddmddmbmbmmm. What is prob of sequence mmmb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -401 bigger than -399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 15. Calculate the greatest common factor of z and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4715947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 448376083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -249 + 2*f**3 + 249 + (-5 + 2 + 4)*(4*f**3 + f**3 - 3*f**3).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Let b be 2\/j + 84\/(-8). Let d = -3 - b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let p(i) = -558*i. Calculate p(r(c)).\nAnswer: 1116*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/124811409 and -145\/10853166.\nAnswer: 249622818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3270, -3270, -3250, -3198, -3102?\n\"Answer: 2*v**3 - 2*v**2 - 8*v - 3262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75666, -75647, -75628, -75609?\nAnswer: -75590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13031\/12 - -1078. Let y be 6\/10 + 148\/20. Calculate the common denominator of 277\/15 + 4*y\/(-240) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1453, -2760, -4067, -5374, -6681?\n\"Answer: -1307*i - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + 4\/(-6). Let w(v) = 2*v - 91. Let i be w(a). Let b be (-5)\/15 + i\/(-3). Calculate the highest common divisor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -95*s + 1609. What is the remainder when (6\/(-4))\/(6\/(-708)) is divided by w(16)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/27)\/(1088\/(-96))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 6, t: 3, z: 4, x: 1}. What is prob of sequence dzt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*p + 540*p - 178*p - 4*c = 179*p - 4, -2*p + 4*c = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -733505, -733509, -733513, -733517, -733521?\n\"Answer: -4*n - 733501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625726 to the power of 1\/2, to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44780967 by -3971.\nAnswer: -11277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 12. Let x be 2\/6 + 28\/6. Suppose 4*m - 4*z = p, -x - 3 = -m + 3*z. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -351845243*f**3*s**3 - 64735*f**2*s**3 + 2*f**2*s + 2472*s**2 wrt f?\nAnswer: -2111071458*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 655795 divided by -131159\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r - 3508 - 4837 = 505. Which is bigger: -1311\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.039 and 2491.\nAnswer: -97.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 - 2*r + 13. Let n(w) = -w**3 + 15*w**2 + 15*w + 10. Let k be n(16). Let v be j(k). Is 2\/((-4)\/(-2))*(69 - v) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*x + 255*x = -470. Sort x, -6, 3 in descending order.\nAnswer: x, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198a (base 13) to base 9\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671621 to the power of 1\/2, to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2\/3 (b) 0.3 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -i. Let p be 214\/i + 4\/18. What is the tens digit of p*1 + (-2 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2118 - 1454. Suppose g = m - 5*m. Let t = -117 - m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -149*d + 5852. Calculate p(39).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97299 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:59 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47927?\nAnswer: 11, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*q - 120 = 139*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9158 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.14041 (b) 4 (c) 0.03 (d) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3359*m**2 - 14418*m - 142392621.\nAnswer: -6718*m - 14418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/12*s**4 + 0*s**3 + s**2 + 227*s + 0. Let d(q) = 11*q**2 + 12*q. Calculate n(d(p)).\nAnswer: -22*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 + 272. Put t, -0.14, -3\/5 in decreasing order.\nAnswer: t, -0.14, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/30 + l**4\/6 - l**3\/6 + 2*l**2. Let k be 0 - -3 - (-7 + -1). Let q = k + -8. What is x(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1752 and 273768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 113 = -73. Let m(c) = 2*c**5 + 30*c**4 + 88*c**3 + 112*c**2 + 70*c + 16. Let h(t) = t**5 + t**4 - t. Let i(f) = n*h(f) + m(f). Factor i(z).\nAnswer: 4*(z + 1)**4*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*u = -7*m + 124, -5*u - 115 = -5*m. Let f = -2 + m. Calculate the remainder when (-4)\/16 - 3490\/(-40) is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = 40*y + 93 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5 - u**2 + 2*u - 1 - 5. Let z be d(2). Let b be 1\/26*(4 - 0). Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -66, -1\/7, 4.83, -1\/2, -6.9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.5583 and -46627?\nAnswer: 46619.4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = 3*f - 7*f. Suppose -h + 141 = 4*y, 0 = -5*y - h - 2*h + f. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-321\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301 + 1?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhb when three letters picked without replacement from {l: 1, h: 1, b: 4, g: 1, x: 2, s: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1 - (-3 - 0)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 280594776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 2*y + 3*y + (5*y + y - 2*y)*(0 - 4 + 6) - 10 + 10 + 12*y)*(-y - 6*y - y**3 + 5*y) as a*y**4 + v*y + z*y**2 + r*y**3 + l and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/9220 and -5\/9.\nAnswer: 82980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 399721 + -163202. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 43, 2\/31, -0.3, 3, -2\/11, 0.09?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 190043502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 - 208. Sort -21, 3, c in increasing order.\nAnswer: -21, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31250 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -188497825, -376995648, -565493471?\n\"Answer: -188497823*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*r - 20 - 14. List the prime factors of (-28104)\/(-32) + r\/8.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*s - 1. Let x be 318\/27 + s\/(-18). Suppose n = -2*h + x, 32 = 4*n - 0*h + 4*h. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108857, -217713, -326567, -435419, -544269?\nAnswer: -653117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3\/6 - 6*k**2 - 20*k. Let n be f(-14). Let z be ((-35)\/5)\/(n - 19\/9). Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59.23512 nanometers?\nAnswer: 0.00000005923512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:27 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:00 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l**2 + 7*l - 5. Let s be v(2). Suppose 2*t = s*t + 242. Is t > -64\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-2)\/2*0 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o - 15. Let n be d(-6). Let h be (-2)\/((3\/(-40))\/n). Suppose 5*c - f - 22 = 72, 4*f = -4*c + h. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 772 - 764. What is the nearest to l in -5, 5\/2, 2\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -261903924265 + 4?\nAnswer: -261903924261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1741896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 5*z. Let f be p(-4). Suppose 3*s + y - 39 - f = 0, 0 = 5*s - 2*y - 153. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2847 - 2851 + 1772*r + 5698 in the form l + z*r and give z.\nAnswer: 1772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -31a6?\nAnswer: -319b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1010223*z**2 - 1313371*z.\nAnswer: 2020446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*l**2 + 44*l + 6.\nAnswer: 2*(l + 1)*(19*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 0.2157.\nAnswer: 0.004314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose 2*i - 4 = -w. Suppose -5 = -4*x + 7. Solve -x*c + 3*b = 4*b - 10, -5*c = -3*b + i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53613781 is divided by 1132?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 55*l**3 + l**2 - 8*l + 6. What is the units digit of r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 3*z - 3. Let v be d(3). Let b = v + 5. Solve -x = b*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*k + n, 5 = 2*k - 2*n - 1. Let v(l) = -l**2 + 2. Let i be v(0). Suppose -o - p = -2*o, 5*p = -i*o. Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26123 + 26114. Is f less than 1545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.29 take away -0.19521089429?\nAnswer: 17.48521089429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 2*c**3 - 21*c**2 - 2*c**3 - c**4 - 1 + 22*c**2 to j*c**3 + w*c**4 + p*c + l + r*c**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1483055*r - 1331999 with respect to r.\nAnswer: 1483055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 145\/3 (c) 2929.8 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 1, l: 4}. Give prob of sequence ll.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46500 and 9300.\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 8a?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067105 (base 8) in base 6?\nAnswer: 15501541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -0.2 (c) -1\/535 (d) 95.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -302977.\nAnswer: -4\/302977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 908118 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 4*t**2 - 5*t. Let g be h(5). Let k(b) = -b + 2. Let j be k(g). Suppose 4*o + j = 22. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekydeyyjyj. Give prob of sequence de.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - sqrt(72)\/sqrt(18)) + sqrt(36) + sqrt(324)*5)\/(sqrt(12) + sqrt(132)\/(sqrt(11)*-2) - -5*(sqrt(12) + (sqrt(12) - sqrt(192)))))**2.\nAnswer: 10000\/1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 6*h**2 - 36*h - 30. Give y(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112 - 12110?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23837 + 23987. Is 45 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882434651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (120 - 122 - (1 + 4)) + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + f - f + (-3 - 1 + 2)*(3*f**5 - 2*f**5 + 0*f**5) + 5*f**5 + 0*f**5 - 2*f**5.\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 5*y - 3. Let l(z) = z**2 - z. Let m be l(0). Let u be -4 - (4 - (3 - m)). Let q(o) = -3*o**2 - 6*o + 4. Calculate u*k(h) - 4*q(h).\nAnswer: 2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2. Let o(c) = -2*c**2. Calculate g(o(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaar. What is prob of sequence aara?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -4, -437, 5, -2, 2 in ascending order.\nAnswer: -437, -4, -2, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 4. Let y be i(5). Let k = 1 - y. Solve k - 2 = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (0 + 1)) + -16 + 15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 350.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.5 - -7. Let c be 22\/24 + (-4)\/6. What is the nearest to c in 2, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/2 - 33*c**4 + 607*c**3 - 2078*c**2 + 4929*c\/2 - 961 = 0.\nAnswer: 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-18 - -33) + -13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15345 and 31\/23049.\nAnswer: 39298545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1268 = 3*c - 1246. What are the prime factors of c?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61045 (base 7) in base 10?\nAnswer: 14782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 775 and 772 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-315)*6\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*m + 5*m + 388 + 275. Solve 29*x = -m - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*c - 153 = 0, 85 + 17 = -2*i + 3*c. Suppose 3*b - 5*a = b - 182, -b = 2*a + 91. Let j = i - b. What is the greatest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 783 - 607 - 4*i - i. Let s be w(0). Let y be 604\/s + 6\/(-33). Do 2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 10*z = -368 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765713064.\nAnswer: 2, 151, 1461683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -92*q**3 - 4*q**2 + 6*q + 1. Let r(u) = -92*u**3 - 3*u**2 + 5*u + 1. What is 6*r(g) - 5*z(g)?\nAnswer: -92*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 55. Suppose -k*r + 934 = 3*g + 181, -5*r = 4*g - 1900. Let q be -2 - r\/(-3280)*(-70)\/(-4). Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153119391 rounded to the nearest one hundred thousand?\nAnswer: 153100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42.692795 and 0.5.\nAnswer: -42.192795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f + 4*f + 16*f - 13.\nAnswer: -9*f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 greater than or equal to 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254192 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*c + 27*c**2 - 114*c - 20*c**2)*(105*c - 204*c + 66*c).\nAnswer: -231*c**3 + 297*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q + 2. Let a(l) = -l**2 - l. Let d(z) be the third derivative of 7*z**5\/60 - z**4\/8 - 4*z**2 + z + 746. Give q*d(b) + 3*a(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -53*d**2. Let a(j) = -423*j**2. What is 6*a(n) - 51*f(n)?\nAnswer: 165*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 20*j**2 - 36*j + 14. What are the prime factors of z(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.57 - -2.43. Let p = j - 94. What is the biggest value in -1, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3153 - -4985. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 k, and 1 z when four letters picked without replacement from {z: 3, k: 3, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 47. Suppose -5*o + 2*d + 474 = -d, -f*o - 5*d + 264 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50461772 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 33*s = 45. Suppose -2*u + s = -i + 2*i, -65 = -3*u - i. Calculate the lowest common multiple of u and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:48 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.824*0.01129.\nAnswer: 0.00930296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.08, 1\/3, -3\/4, -30209?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -51. What is the second smallest value in i, 20, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -19. Suppose 2*a - 240 = 4*n - 2*a, -2*n - 92 = r*a. Let k = 175 + n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895362.\nAnswer: 2, 3, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11*n**2 + 136*n - 288. Give x(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 7. Let d = j - -35. Let t = d - 22.3. Which is the closest to -0.1? (a) t (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1 + 0*q**2 + q**2 - q - 2*q. Let i be g(3). Calculate the remainder when 51 is divided by 25*(-5)\/(-5) - i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506068449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -673, -913, -1089, -1201, -1249?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1088886644 and 2188.\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10110?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177862 and 904.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:33 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14513523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 1\/315*n**7 - 5*n**2 + 0*n**3 + 0*n**5 + 0*n + 0 + 1\/180*n**6 + 0*n**4. Factor q(w).\nAnswer: 2*w**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -211, -212, -213, -214, -215?\n\"Answer: -v - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 2*i - 5. Let w be (-1 - 33\/(-9))*(-9)\/4. Let g(z) = -2*z**2 - z + 6. Give w*t(v) - 5*g(v).\nAnswer: -2*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 233593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 403986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -p - 2*s, 5*s - 11 = -0*p - p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 380, 923, 1672, 2621, 3764, 5095?\n\"Answer: -f**3 + 112*f**2 + 2*f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (13 + -11 - (0 + 0) - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuoi when four letters picked without replacement from giiuugioouvvguuivi.\nAnswer: 5\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 83, -5, -2, 2 in increasing order.\nAnswer: -5, -4, -2, 2, 21, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/7)*d**6\/d*d*d*d**(-2\/3)*(d**(-7)\/d)\/d assuming d is positive.\nAnswer: d**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o - 15. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -70 - 1\/20*s**5 + 0*s**2 + s + 235\/12*s**4 - 27\/2*s**3. Find the second derivative of c(l) wrt l.\nAnswer: -6*l + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -27*j**5\/160 + 19*j**4\/16 - j**3\/2 + j + 141. Solve y(q) = 0 for q.\nAnswer: 0, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2039716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17516 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 13*a**4\/24 + 28*a**2 + 21*a. Let m(x) = -x - 4*x + 2*x. Give m(w(y)).\nAnswer: -39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440782*a**3 + 19*a**2 + 440784*a**3 + 22*a**2 + 18*a**2.\nAnswer: 2*a**3 + 59*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - n)*(1 - 4*n - 1)*(-986 + 11 - 25).\nAnswer: 8000*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 4\/6) + 1. Let k = 0 - -0.2. Let y be 1 + 1 + ((-1)\/(-3) - 6348\/2898). What is the second smallest value in y, k, u, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*k - 343, -6*f = -7*f - 4*k + 70. What is the third derivative of 67 - 67 + f*q**2 + 44*q**3 + 4*q**3 wrt q?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 71*q + 70*q = 4, 4 = -3*b - q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/16 and -75\/4388.\nAnswer: 17552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*x**2 - 149*x**2 + 0 + 77*x**2 + 0.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -367*z + 599 wrt z?\nAnswer: -367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165 + 330 - 165 + 9*q**3 + 5*q**2 - 569*q + 226*q wrt q.\nAnswer: 54*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16 + 15 + b - 10. Let x(o) = 2*o**3 + 15*o**2 + 6*o. Let l be x(-7). Calculate the smallest common multiple of d(l) and 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -53 + 0*m + 47 + 0*m - m. Let j be t(-3). Let l(v) = -3*v - 3. Give l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 1. Let c be s(-1). Let l = -302 - -67. Let t = l + 232. Is c <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (10 - -7) + (3 - 8) - 47.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 - 24*l**3 - 36*l**2 + 16*l + 48 = 0. What is l?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -248 + -7?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3600 and (1 - 2101)\/((-168)\/189*(-21)\/(-28))?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w + 3*w**2 - 6*w**3 - 6*w**4 + 3*w**5 + 5*w + 10*w**2 - 6 - w**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-20) + (-11)\/4. Let d = 3 - l. Suppose d*s = 2*s + 88. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180 - 5?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 18195907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d02ee (base 15) in base 16?\nAnswer: 4f9349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:35 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0 - 26 - 27*l**2 - 28*l - 26 + 4 + 16*l**3 - 17*l**3. Let b be j(-26). Solve 0 = -v + 2*v - 2, -2*v - 12 = -b*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(117) - (0 + sqrt(117))) - (2*(1*sqrt(117) - sqrt(117) - sqrt(117)))**2) + -1.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42aa + -5090?\nAnswer: -936a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -363 + 696. What are the prime factors of 4 + r\/45 + 4\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 3 + 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4741 less than -5\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 591, 1184, 1777, 2370, 2963, 3556?\n\"Answer: 593*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -148, -244, -360, -502, -676, -888?\n\"Answer: -a**3 - a**2 - 72*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 1209?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1841 - 936. Let o = n - 264. List the prime factors of o.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9476624 + -0.04.\nAnswer: 9476623.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -7)\/((-3)\/4). Let i = 2 - c. Which is bigger: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 62*x**2 - 12*x - 36. Let h(g) = 11*g**2 - 2*g - 7. Let l(t) = -2*d(t) + 11*h(t). Determine l(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 - 6?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001101010010 (base 2) in base 8?\nAnswer: -111522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, -2, 9 in ascending order.\nAnswer: -23, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (5 - (-2 + 4))) + (5 - (-7 + 16))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125.14 + 123. Let w = 0.24 + j. Let r = -3.9 - w. Which is the biggest value? (a) -0.2 (b) r (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 317.4276 seconds?\nAnswer: 317427.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 985 (base 12) to base 9\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddy when three letters picked without replacement from dddydyyyddyyd?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 12. Let s be (-4 + 3)\/(1\/(-5)). Let c be (s + p)\/(1*-2). Solve c = -3*t + 9 - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*f + 3666 = -4*i, 3676 = i - 5*f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -834 + 834. Suppose 2\/5*g**4 + 0 - 2\/5*g**3 - 4\/5*g**2 + i*g = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414838953161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphhpddpdphdppdhpp. What is prob of picking 1 d and 1 h?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -5 - 0) + 0 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*c - 168*c - 70476 = 457*c - 2801*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzuzuzuuuzzuzuuuku. Give prob of sequence uu.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 3*n + 22, -133*t + 129*t = 2*n + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10885, -21825, -32789, -43795, -54861?\nAnswer: -66005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11)\/((f*f\/((f*f*f*(f*f*f**1)\/f)\/f))\/f))**(25\/4)\/(f**6\/f*f\/(f\/f**(-3\/4)))**(39\/4) assuming f is positive.\nAnswer: f**(-3793\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + k - 2)*(-2*k + 0*k + 24*k) + (-1 + 2*k + 1)*(-2*k + 0*k + 4*k) - 68 + 68 - 9*k**2.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 23*q**2 + 181*q + 2909. Determine o(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 663. Let v be j(0). Let r be (-7 - (0 + -5))*(-51)\/2. What is the highest common factor of v and r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, c: 10, u: 4}. What is prob of sequence cmm?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 - 7*j - 12. Let v(p) = p**2 + 1. Let f(k) = r(k) + 5*v(k). Let i be f(-6). Is (10 - -1)*(i - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-7)\/((-28)\/72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -55930351.\nAnswer: 3\/55930351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2\/53, 140 in increasing order.\nAnswer: -5, -2\/53, 1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1042685 and 5153843.\nAnswer: 180384505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/(-4)) + 3. Let o(n) = 0*n - 5 - n - n + 3*n. Let r(v) = -8 + 9*v - 18*v - 3 + 10*v - 2 + 4. What is z*o(l) - 3*r(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 199, 747, 1635, 2851, 4383, 6219?\n\"Answer: -2*d**3 + 182*d**2 + 16*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a minute?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1968)\/615*4\/72*(-5)\/10?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 + 1190785.8701\nAnswer: 1190778.0701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/13))\/r**(-5)*(r**(-3\/2)*r)\/r**(1\/3))**(1\/17) assuming r is positive.\nAnswer: r**(415\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-13)\/455*5\/45*6?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: b\"What is the vth term of -5993, -12029, -18045, -24017, -29921?\n\"Answer: 4*v**3 - 14*v**2 - 6022*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -2*o - o. Let r = -43 - o. Suppose -3*j + r = -5*m, -4*m = 2*j - 1 + 9. Solve -3*p + 8 = j*l, 3*l - 11 = 2*p + 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -d + 6, 2*f + d - 616 + 613 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -51*m**2 + 45. Let b(j) = -j**2. Determine -4*b(y) - k(y).\nAnswer: 55*y**2 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3 - ((765051\/7)\/(-17) - (7 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1054 and 77\/3162.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*6\/312 - 15\/13. Let x be (-2)\/7 - f\/56*58. Let d = -16.5 + 11.5. What is the second smallest value in x, d, 3\/14, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763538?\nAnswer: 2, 17, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*o - 2. Let d(f) = f**2 + f - 1. Calculate the lowest common multiple of 9 and d(o).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -50*y + 960. Determine i(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l - 52*l - 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 19344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-8)\/(-16)*((-48)\/140)\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 35236443?\nAnswer: 35236451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:16 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 + 3*l - 1. Let n be (-2)\/(-6) - (-39)\/(-9). Let x be y(n). Suppose 3*i + 5*s - s - 20 = 0, x*i = 5*s + 2. Solve 2*h = i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 507334.9?\nAnswer: -10146.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5583*k + 13267*k + 7662*k as x + p*k and give p.\nAnswer: 26512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1))**(-18)\/(w**(-3)\/w*w\/(w\/(w**(2\/3)\/w)))*((w**1)**(-8\/9))**(-26) assuming w is positive.\nAnswer: w**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -22. Let y = z + -8. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296348 and 5863?\nAnswer: 3259828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(95)\/(sqrt(500) + sqrt(500) + (sqrt(500) - (sqrt(500) + -2*sqrt(500)))).\nAnswer: -5 + sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51559812, -51559811, -51559810, -51559809?\n\"Answer: h - 51559813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 32 = -4*q, -4*z - 16 = -3*q - 6. Solve 0 = -0*w + q*w + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvheohoy. What is prob of sequence hz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2 - m. Let x(p) = 8*p**3 + 5*p**2 + 5*p + 3. Suppose 4*t - 21 + 4 = 3*u, -10 = -2*t. Calculate u*x(o) + 5*f(o).\nAnswer: 3*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/162 + (-14)\/18. Let g(i) = 19*i**2 - 4*i - 3. Let t be g(o). Calculate the highest common divisor of t and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2675 or -4?\nAnswer: -2675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3630?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*h + 204*h = -266. Let x(k) = 21*k**3 - 1. Let i be x(1). Solve -3*d = -h*d - i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2058.02027 - -0.117\nAnswer: 2058.13727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -142*n**4 - 122*n**2 + 34. Let o(d) = 13*d**4 + 11*d**2 - 3. Let a(h) = 6*f(h) + 68*o(h). Find the third derivative of a(r) wrt r.\nAnswer: 768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 35*x**2 + 35*x + 3. Give a(-34).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 22*p - 48. Suppose 5*r + h = 2415, 3*r + 0*h = -p*h + 1437. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 784*d + 73618. Determine g(-94).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 121*d + 125*d = -140718, -2*j + 93770 = 2*d. List the prime factors of j.\nAnswer: 2, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) -2 (c) 0.031 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763604?\nAnswer: 2, 37, 71, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2 + 37636*o + 37637 = 0?\nAnswer: -1, 37637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:48 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-32*135\/162)\/((-6)\/9). Let q be (-18)\/4*1488\/(-9). Calculate the highest common factor of q and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -503 (b) -0.02 (c) 8\/27 (d) -1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*l = 2*b + 66*l + 10, -3*l - 12 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-24)\/(-924))\/(6\/(-14))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3047781 or -3047779?\nAnswer: -3047779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsii when four letters picked without replacement from iqsi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -197753? (a) -1\/3 (b) 38 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3992\/27 and 147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23036 is divided by 379?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + s - p - 2, 3*p + 11 = 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 966.879414441 - -286457.155583759. Let g = -287424 + m. Let a = g - 0.035. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**2 - o - 1. Suppose -3*s = 3*s + 90. Let v be ((-2 - 1) + -11)*1. Let a = s - v. What is u(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 0*t + 4*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*u**4 - u**2 - 75*u**4 - 6*u - 98*u**4 - u**3 as y*u**4 + j*u + m*u**2 + p*u**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 5*s + 6. Suppose 2*d = -3*d + 5. Solve -v + s + d = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/b)\/b**(-1))\/((b\/(b**(3\/2)\/b*b))\/((b\/(b*b**6*b))\/b)) assuming b is positive.\nAnswer: b**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p + 7*p + 8*p + (2*p + 2 - 2)*(0 + 2 + 0))*(-2 + 2 + 2*p) as x + b*p**2 + u*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 6*m**2 + 0 - 4*m + 0*m**3 + 0*m**4 - 7\/20*m**5. What is the derivative of n(r) wrt r?\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-2) - -1)*-4. Suppose -5*g = -g - c. Suppose g = 3*o - 67. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**3 - 5*x**2 + 5*x - 5. Let b be (3 + -2)*3\/3. Let f(g) be the first derivative of -1\/3*g**3 + 1\/2*g**2 - 3 + 1\/4*g**4 - g. Give b*h(i) - 5*f(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a. Suppose 2*i - i + 4 = 0. Let j(s) = 21*s. What is i*j(v) + 27*h(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115105340 and 16.\nAnswer: 460421360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 9*j**2 - 3*j - 83. Determine i(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 817 or 703?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-44))\/(6*-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20896?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*f - 37. Solve 4*d + f = 0, 8*d - 3*d + 12 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/5 + 13\/20. Which is the nearest to w? (a) -0.3 (b) 2\/15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*g + 3*b - 151, 5*g + 3*b = 263. Suppose -g = 6*v - 5*v. Let r = v + 45. Which is smaller: -19\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25457 or 25454?\nAnswer: 25454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2*a**5\/5 - 10*a**4 + 52*a**3 + 220*a**2 + 242*a - 108. What is t in b(t) = 0?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8)*10\/15)\/(4\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:15 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 - 3*w**3 + 0*w**3 + 8*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-38) - (-6)\/(-3). Let j = 59 + -38. Suppose 3 = 2*y - d, -5*y = 4*d + 4 + j. Is t at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**2 + 12*s**2 + 13*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 681371 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/840 + o**6\/180 - o**3\/2 + 3*o**2. Let s(c) be the first derivative of h(c). Find k, given that s(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331 - 382 + 197*v + 713.\nAnswer: 197*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*v - 4*v + 8, 5*v + 5*h - 20 = 0. Suppose -2*x + x + v = 0. Calculate the remainder when x is divided by (6\/(-7))\/(111\/(-259)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0 + 10*q + 11*q + 4 - q. Is n(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 6, -16, -13\/495, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + sqrt(5))**2 - 2*(sqrt(25)\/sqrt(5))**2) + 4 + (-6*3*(sqrt(5) - (sqrt(5) + 2)))**2.\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12319.\nAnswer: 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 970 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x - 3. Let v be 4\/(-54) - 6360\/1620. Let d(i) = 8*i + 2. What is v*d(s) - 3*w(s)?\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35310767 - 151298.\nAnswer: -151297.64689233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 5*x - 16 + 9*x)*((3 - 1 + 0)*(-3 + 4 - 3) + 1 - 1 - 1).\nAnswer: -5*x + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**4 + 20*w**4 + 11*w - w**4 + 8*w**4 wrt w.\nAnswer: 336*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 19*c**2 + 1835*c - 11732. Determine s(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -4*q + 58*q. Let i(h) = 2*h**3 - 3*h**2 - 11*h - 3. Let y(z) = 6*z**3 - 10*z**2 - 34*z - 10. Determine q*y(o) - 10*i(o).\nAnswer: -2*o**3 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8722 in 0, -5, -6, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0 (c) 9 (d) -1.7 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35050 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 11721347.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 19 = -2*c, 0*h - c - 10 = -4*h. Let i be h + (0 - 1 - 0). What is the units digit of (i - 4)\/((-3)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**3 - k**2 + k**2 - 22*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13039\/2006)\/(13\/44).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5544, 5, -1 in descending order.\nAnswer: 5544, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i + 32*i + 182 + 450 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*o + 372*o + 684*o.\nAnswer: 1296*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865, -3473, -7823, -13915, -21749, -31325, -42643?\nAnswer: -55703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(0*h - 4*h + h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 8685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a century?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2214.452 + 2212. What is q rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 410477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -8a?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -4 + r**3 + 0*r**2 + 0*r**5 + 0*r + 0*r**4 + 0*r**6 - 2\/7*r**7. What is the third derivative of n(w) wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 365. Let o = t + -187. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-10) + -5 + 4. Let a be (1\/10)\/(21\/21). Let g = 2.9 + -3. What is the nearest to g in 3\/4, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1378, -1369, -1360, -1351, -1342, -1333?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -340*v + 341*v + k, -3*v + k + 317 = 0. Solve v*b = -53 + 158 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-185)\/(-15) + (-4)\/(-6). Let c be (30\/25)\/(1\/20). Let n = c - t. Solve 4*h - 1 = -f + 2*f, 0 = 4*f - h - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2384629934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 102\/(-6) + 8 + -181. Is l\/(-228) - 775\/(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -64 in decreasing order.\nAnswer: -2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1)*(-47 + (95 - 49)). Let g = -1 - -1. Suppose -25 = 2*k - 7*k. Solve g = d*j + k + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from vgggvgvdgvdddgw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 106.6.\nAnswer: -426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 3:45 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4838 not equal to 4837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/3 (c) -0.18 (d) -4 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14667, 14674, 14681, 14688?\nAnswer: 14695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 1962*h + 9840. Give z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/16412?\nAnswer: 9\/16412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.511128 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4, 9*j = 4*j - o + 26. Suppose -3*h + 0*h = -12, -j*z = -3*h - 3693. Suppose 4*m + 3155 = 5*f, -z = -3*f - 2*m + 1152. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2 + 12 - 9)*(8*r + 36*r - 3*r) - 2*r**2 + 5*r - 5*r.\nAnswer: 80*r**2 + 41*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*d**4*l - 28*d**4 + 309*d**2*l - 9566046*d*l wrt d.\nAnswer: 636*d**2*l - 336*d**2 + 618*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -3, -2, -110, -29.\nAnswer: -110, -29, -3, -2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 223382 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100110 + 10111010?\nAnswer: 11110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 48 = 12*w + 20*y - 25*y, -40 = 14*w - 3*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = 20. Let x(b) = b**3 - 8*b**2 + b - 6. Let h be x(8). Let m = 2 + h. What is the remainder when l is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13218535*a**3*i**3 + 14*a**3*i - 3*a**2*i**3 + 85*a**2*i - 31*a - 3*i wrt i.\nAnswer: 79311210*a**3*i - 18*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**2 - 2. What is the remainder when ((-32823)\/5731)\/(3\/(-55)) is divided by g(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76496425 and 152992850?\nAnswer: 152992850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26333599.\nAnswer: 1667, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (624\/(-144)*4\/26)\/2*36\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from savma. Give prob of sequence am.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = -50 - 80 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than 1532\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -70. Let q = -50.9 + f. Which is bigger: -18 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 166*g + 142426 - 135786 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {h: 1, d: 3, f: 4, u: 2, a: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 2}. Give prob of sequence hhu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.7 take away 14610552?\nAnswer: -14610338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 2*o**2 - 25*o. Let b be n(-4). Suppose 0 = 4*u + 3*y - 1838, 5*y + 1822 = b*u - 0*y. List the prime factors of u.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 10. Let s(f) = -4*f + 8. Let h(j) = -9*j + 15. Let m(n) = 3*h(n) - 7*s(n). Let v be m(11). Which is the closest to v? (a) -5\/4 (b) -2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3008)\/(-320) + 9\/(-1). Which is the second smallest value? (a) h (b) 2 (c) -50.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73.69 - -74. Let i = s + 0.69. Put 0.3, 4, i, 2\/15 in decreasing order.\nAnswer: 4, i, 0.3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/6 + 83701*s\/6 - 13950 = 0. Calculate s.\nAnswer: 1, 83700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -1640. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixixixxix. Give prob of picking 3 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1900 = -121125*d + 121025*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from nbnnnnbnbnnbnnlnbn.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**6\/5 - 3*t**2 - 3*t. What is the first derivative of z(b) wrt b?\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czz when three letters picked without replacement from zczccczczcczzccccc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**5 + 5 - 2*o**2 - 9*o**4 - 5*o**3 + 0*o**2 + 0*o - 5*o. Let y(c) = c**4 + c - 1. Let r(q) = d(q) + 5*y(q). Suppose r(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073.58 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m - 5*o + 6*o, 8 = 2*o. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/524 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/1113070 and -97\/9520.\nAnswer: 151377520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3\/7 + 5295177*u**2\/7 + 21180744*u\/7 + 21180756\/7 = 0?\nAnswer: -2, 1765063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4188065.1 times -2\nAnswer: 8376130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56.9 - 16.1. Let q = -73.1 - w. Which is the second biggest value? (a) -1\/9 (b) -0.6 (c) q (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 2*t - 5. Let h(a) = -2*a + 5. Let x(b) = 3*h(b) + 2*q(b). Let d be x(-2). Solve -6*y = -7*y + d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2 + 4*c**2 + 5 + 0*c**2. Let r(y) be the third derivative of -y**5\/30 - y**3\/3 + 2*y**2. Let q(a) = -7*r(a) - 4*v(a). Suppose q(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2138663 or -2138618?\nAnswer: -2138663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 17*v + 5. Let w(x) = 7*x**2 - 50*x - 14. Let c(j) = 11*i(j) + 4*w(j). Is c(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29669249?\nAnswer: 1531, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*l**2 + 29075*l + 1933428.\nAnswer: -54*l + 29075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*i - 5*w + 211, 2*w - 8 = 0. Suppose 7*f = 349 - i. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/2 + 0*k**2 + 21\/4*k - 3\/4*k**3 = 0 for k.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 15*r**2 + 16*r + 6. Give c(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 705 + 2*g - 4*g**3 - 2*g**3 + 7*g**3.\nAnswer: g**3 + 705","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -85278.0982 to the nearest 10.\nAnswer: -85280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(42\/112))\/(18\/(-72)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from upjujojujj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**9\/30240 - u**8\/10080 + u**7\/2520 + u**6\/360 - u**5\/30 - 2*u**2. Let r(a) be the third derivative of m(a). Factor r(o).\nAnswer: -2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*i - 292*i + 9 = 0. Calculate the common denominator of (-3)\/((-2430)\/(-909)) - i\/(-1) and -149\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 417.\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459 + -516. Put 3, -4, t in increasing order.\nAnswer: t, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212108\/3 less than or equal to -70703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15776, -15797, -15816, -15833, -15848?\n\"Answer: h**2 - 24*h - 15753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/41657 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from sgadrrq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 678975?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*k**2*r + 53*a**2*k*r**2 + 4*a**2*r**2 - 8*a*k**2*r**2 + 2*a*k**2*r - 95*k**2*r wrt a.\nAnswer: 4*k**2*r + 106*k*r**2 + 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)*(-4 + 2). Is 3 a factor of (-3 + 5)*(-11)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 2}. Give prob of picking 1 o and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5853 - 3347. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-six fifths of a microsecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 611112499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w - 3. Let s be 11\/(3*(-1)\/w). Suppose -c = -3*t - s, 2*c - 10 = -t + 3*t. Calculate the greatest common divisor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146462726 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 492\/13038 + 248\/(-954).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-18 - (-1130)\/70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 628 = -6*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from muuuuzzumm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*z**3 - 1459*z**3 + 214*z**3.\nAnswer: -1538*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*k + 5*b, 0 = -5*k - 2*b + 3*b - 11. Let l = k + 1. Let c = 2 + l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*p**3*v**2 - 15*p**3 + 2*p*v - 2*v**2 - 3 wrt v?\nAnswer: -338*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*d = -6, -2*d = -4*w + w + 14. Factor 6 - 8*o**2 - w + 0 + 4*o**4.\nAnswer: 4*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1764*n**2 - 4. Let j be l(-2). Let m = j - 2435. Let q be 36\/(-12) - (2 - m). What is q rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6 = -5*t, 4*y = 18*y - 10*y - 4*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203644 (base 7) to base 6.\nAnswer: 425521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*s**5 + 10*s - 3.\nAnswer: 1600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - x - 8 = -19, -2*q - 5*x = 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 76\/(-4) - (-1 + 0). Let z be ((-12)\/9)\/(4\/n). Suppose 3 - 15 = -2*l. Calculate the highest common factor of l and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81 - -647?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 8*l + 12. Let w(u) = -7*u. What is c(w(y))?\nAnswer: -245*y**2 - 56*y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 40*b**2 + 112*b - 22. Let s be n(37). Solve -28*j = -s*j + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4 + 5 - k**2 - 5 - 8*k. Let u be b(-7). Suppose f = 8 - u. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.13838603 to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-6)\/(-2) - 0. Suppose -10 = -y*s - 2*s. Suppose -2*o - 3*n + 15 = 0, -2*o - o + s*n = -13. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from qykmqymkmkkk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, 282, -3, -2 in decreasing order.\nAnswer: 282, 28, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83203464871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -5, 0, -2, 1, 7.\nAnswer: -5, -2, 0, 1, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2147, 2170, 2229, 2342, 2527?\n\"Answer: 3*z**3 + 2*z + 2142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 552037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -14*f**3 + 1444*f**2 - 187*f - 1999. What is w(103)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*r**5 + 200*r**4 + 165*r**3 + 50*r**2 + 5*r = 0. Calculate r.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 5*m**8\/168 - m**4\/24 + 2*m**2. Find the second derivative of l(t) wrt t.\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-5)\/(220 - 0)). What is the highest common factor of 110 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 1085 = 1457. Let r(q) = m*q - 158*q + 75*q. Let p(v) = -174*v. What is p(r(k))?\nAnswer: 174*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Suppose 2*z - 1 = 3, 0 = s*k + 5*z - 22. What is the greatest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206260022 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 1, -4*l - 4*h + 14 = -2*l. Let w = l - 4. Factor -y - 2*y**3 - 31*y**w + 4*y**3 + 30*y**5 + 0*y.\nAnswer: -y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 48*b - 48*b + 1. Let k be h(-1). Suppose 2*q = -3*s + 8, -4*s - k*q + 12 = -0. Solve -s = -2*p + p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117592 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.997276 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-273314)\/(-24) - 2. Let r = v - 11392. Calculate the common denominator of -19\/4 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.301 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 14*k**2 - 30*k + 94. Let m be b(17). Let q = -395 + m. Calculate the remainder when q is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnngggn. What is prob of picking 2 g?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/150 and 85\/4242?\nAnswer: 106050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 73*u - 592. Calculate w(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1491 and -2.2.\nAnswer: 3280.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - aba?\nAnswer: -ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 29*h**2 + 23*h + 251. Calculate k(30).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, -0.01, -42.3, 0.3, 5\/3, 3\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -112 in -1, 22\/7, 2, 327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:29 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1401 + 116*v + 1699 - 3100.\nAnswer: 116*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3253850 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, i: 1, y: 1, u: 3}. What is prob of sequence ay?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10870335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39127 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 51*m - 27*m = -54 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 + -0.390114?\nAnswer: -0.780114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -522.5\nAnswer: 522.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*i)*(-i**2 - 3*i**2 + 2*i**2)*(-372*i**2 + 951*i - 951*i).\nAnswer: -2976*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 9. Find the first derivative of -j - 4*q + 9 + q wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 1 + 1 = 0. Suppose 3*r = 2*m + 6*r - 127, m - 4*r - 91 = v. What is the remainder when m is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 9, q: 2, v: 1}. What is prob of picking 3 r?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*i = -77, w + 409256 = 3*i + 409164 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, 64, 94, 144, 220, 328, 474?\n\"Answer: y**3 + y**2 + 6*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + 3. Let n = -355 + 361. Solve 0 = -6*o + m*o + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -151*k + 2530. What is v(19)?\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18095 by -1.\nAnswer: 18095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -763 - -767. What is the closest to 1 in p, -1, 0.03, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4809315 by 1967.\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1239\/(-840) + (-3)\/(-5) + -1. Let w = z - -17\/8. Let m = -1 + 1.05. What is the nearest to w in 2, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c = -30*c + 3616 + 200. Calculate the lowest common multiple of 36 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 158, 1\/3, 16, 1 in decreasing order.\nAnswer: 158, 16, 1, 1\/3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4148 and 0.045.\nAnswer: 186.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 86 + 0*f**2 + 97\/6*f**6 + 0*f**4 + 0*f**5 + 0*f + 76\/3*f**3. What is the third derivative of o(u) wrt u?\nAnswer: 5820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, t: 3, q: 1, w: 1, l: 4, y: 1}. Give prob of sequence wx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k + 319 - 667 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 7}. Give prob of sequence mkmk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -1 - (-1 + 0). Let r(j) = -3*j + 5 + j**3 + 2*j**2 + 4 - b - 1. Give r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -6 (c) 0.07 (d) -9\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -247 - 311. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70389686*l**4 + 2168383*l - 13?\nAnswer: -844676232*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 231*i - 194. What is b(-2)?\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)**(-1\/27))**(-1\/91)*((j*j**(2\/9)\/j*j*j)\/(j\/(j\/((j**(-4\/3)*j)\/j))))\/(j*j**8*j*j**(-1\/9)) assuming j is positive.\nAnswer: j**(-20747\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(60) + sqrt(120)\/sqrt(2))\/sqrt(12) - (2*sqrt(5) + -1 - ((sqrt(15)\/sqrt(3))**2 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -1\/2, -13.8, -1.\nAnswer: -13.8, -5, -1, -1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) + -2 + sqrt(1584)) - (-2 + sqrt(11) + sqrt(11) + sqrt(11) + 1 + (sqrt(77) - (sqrt(77)*-2 + sqrt(77)) - sqrt(77))\/sqrt(7)))**2*-1.\nAnswer: -52492 + 1518*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 127654 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 0. Let f = 6926 - 6917. Sort -4, f, b in decreasing order.\nAnswer: f, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 41, 84, 165, 296?\n\"Answer: 2*z**3 + z**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 divided by 59?\nAnswer: 1603\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) - 3*(-2 + sqrt(17))**2) + -1 + 2*sqrt(17) + -3.\nAnswer: -64 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 38*d + 6. Let q be k(8). Suppose -g + q = 4*g. Let h = 12 + g. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 116\/2 + (-3 - -1). Let t = n - 49. Calculate the least common multiple of 9 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j**2 + 27*j**2 - 27*j**2.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - p**2 + 20*p + 0*p + 12. Calculate the least common multiple of 7 and n(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 10836?\nAnswer: 54180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 5)*(19 - 17 + 33)*(-6*t + 13*t + 2*t) to b*t + c and give b.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7160081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p**3 - 7*p**2 - 26760*p - 21. Let u(o) = 28*o**3 + 9*o**2 + 35680*o + 27. Determine 9*m(q) + 7*u(q).\nAnswer: -2*q**3 + 8920*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, y: 7}. Give prob of sequence pyy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13442150 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 w(f) = f**2 - 5*f. Let h be w(8). Suppose -n = n - h. Suppose k = 2*k - n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1492*l - 1498*l - 24 = 0, -3*r + 120452 = -2*l. List the prime factors of r.\nAnswer: 2, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y - 32. Let h be k(-6). Solve n - 21 = h*i, -i + 5*n - 25 = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -1\/3*c**3 + 4*c**2 - 2 - 5*c. What is the units digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/2 + k. Let u(h) = 10*h**2 - 4*h - 5. Let n be u(-1). Let p(c) = -15*c + c + 3*c + n*c. Give p(y(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 453397158 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/21*385\/10. Let m be p\/8 + 18\/24. Suppose m*f - 19 = 8*f. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 - 1.3. Let r = k - -5. Round r to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 37. Let q(b) = -2*b - 2. Let h(o) = -6*o - 7. Let t(d) = r*q(d) - 2*h(d). Let n(f) = -5*f**2. Give t(n(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (780\/208)\/((-1)\/(-4)). Suppose -625 = -b + 3*c, -i*b - 2*c = -12*b - 1919. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66910104 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6\/5)*u**(2\/23)*u*(u*(u**(-4)*u)\/u*u*u)\/u**(-1\/2)*(u\/u**(2\/9))**27\/((((u\/(u**1\/u))\/u)\/u)\/u)**(-17\/4) assuming u is positive.\nAnswer: u**(1367\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:51 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70738*v**3 + 139*v**2 + 6*v + 58091272 wrt v.\nAnswer: 212214*v**2 + 278*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4056, 5598, 7134, 8664, 10188, 11706, 13218?\nAnswer: 14724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5861185053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 + 2 = 5*i, 1 = i - p. Suppose -w - i = 3*c, c + 0 = 5*w - 1. Is 2*c - 91\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 3. Let n(u) = u**3 + 3*u**2 - 5*u. Let c be n(j). Let l be (72\/(-84))\/(24\/(-112)). Are l and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 8) to base 14\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 49 = -15*c + 36*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, and 1 a when three letters picked without replacement from jahhpck.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 54. Suppose -v = -5*c - s, 3*v = -c - 2 - 3. Let l = c - -28. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12\/7 (b) -3 (c) 0.01189784\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/8? (a) -2\/7 (b) -0.4 (c) -5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91061028.\nAnswer: 2, 3, 2529473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6496360726 and -1907?\nAnswer: 6496358819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184 + 186. Which is the second smallest value? (a) x (b) -0.16 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o - 2*o**3 + (o + 2*o - 5*o)*(459*o - 459*o + 8*o**2).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7583292 nanometers?\nAnswer: 0.0000000000007583292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 45*t**2 + 171*t + 100. Is y(25) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -254 (b) 0.1528 (c) 1\/2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 7 = -2*n + 4*n, 0 = n - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 56\nAnswer: -11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -637962 by -13.\nAnswer: 49074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 357030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 95 - 3 = 0. Calculate the greatest common factor of z and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17602*q + 6 = v - 17597*q, 0 = -3*v - 4*q - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 1, u: 1, k: 1, r: 1}. Give prob of sequence roq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 + 5*n. Let g be m(-6). Suppose g*a - 2*p = 2*a + 3472, 3480 = 4*a - 4*p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318849695*b**2 + 809586394*b wrt b?\nAnswer: 637699390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 2 = 15*t. What is the least common multiple of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.66 - 11692287171?\nAnswer: -11692287280.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)*v)**(-1))**(-1\/13) assuming v is positive.\nAnswer: v**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10941*i*j**2 - 3*i*j - 54*i - j**2 + 8*j wrt j?\nAnswer: 21882*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.832124 and 0.3?\nAnswer: -2.6496372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -117458018 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*c - 852*c + 896 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 18 = -7*o + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 52 + 1 + 0 + 6 + (71 - 80)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/((-8)\/(-84)). Suppose -5810 = -h*y + 3661. Suppose -8*a + 615 = -y. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 3*d)*(-27 - 56 + 6) + (2*d - 5*d + 4*d)*(-3 + 3 - 1) + 6*d + 4*d - d.\nAnswer: -146*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492 take away -0.84?\nAnswer: 4492.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 318*r - 2543. What is k(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + u = 15, 25*w = 28*w - 5*u - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.666, 0.01, 6, 0.1 in decreasing order.\nAnswer: 13.666, 6, 0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.5447 rounded to one decimal place?\nAnswer: 322.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268656374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126128074861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359297 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Suppose r = 4*a - 2*a - 20. What is the greatest common factor of 110 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -972 and -525.\nAnswer: 510300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248840113.\nAnswer: 3, 13, 271, 212777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -27885 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 2*r. Let g be l(-2). Suppose -6*a + 2 = -g*a. What is the first derivative of -i**3 + a - 3 - 1 wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2947303195 and -10.\nAnswer: 2947303185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 3*m + 4. Let j be f(4). Suppose 2*p - 190 = b, p - 5*b - 92 - 12 = j. Let k = p - 55. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*m**4 - 76*b**2*m**2 - 158*b**2*m + 3*b**2 - 6*b*m wrt m?\nAnswer: 24*b**2*m**2 - 152*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.9947 - 0.0053. Which is the third smallest value? (a) -5 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1687 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34937.\nAnswer: 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 50 - 53. Let m(g) = g**3 + 2*g**2 - 1. Determine m(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42958781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*p - 169, -a + 43 = -2*p - 0*p. Suppose a + 4 = 5*u + z, 0 = z - 2. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*r - 2792 + 324160. 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 nearest to -1\/4 in 3, -4, -6, -17368, -2\/27, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 6, -0.3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*b + 3 + 2, -2*b + 9 = -5*p. Suppose -2*k = -4*z + b*k - 16, 4*k = 2*z + 16. Put z, -1, -7 in decreasing order.\nAnswer: z, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m - 2129*m**2 + 1114*m**2 + 1020*m**2.\nAnswer: 5*m**2 - 35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (3 + 0)*-3. Let h(o) = -o**2 + 7*o - 1. Let k be h(z). Suppose -2*y - 2*y = 16, 4*y = -k*f + 49. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - -1f25?\nAnswer: 1f31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/79893 and 61\/13856997.\nAnswer: 124712973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkm when three letters picked without replacement from mmkmkmdmmmdn.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/28757 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 177659 (base 11) in base 12?\nAnswer: 112439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18475194928 plus 336?\nAnswer: -18475194592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Let f = 10524 + -10500. What is the smallest value in y, 4, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)\/s*s)\/(s*s**(-1\/4)))\/(((s\/(s*s**(2\/5)*s))\/s)\/s)**(2\/49)*(s**(-7\/4)\/s**(-10))**(-1\/2) assuming s is positive.\nAnswer: s**(-8723\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 989279473 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110334213434 - 1?\nAnswer: 110334213433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v = 6. Let k be 9 + 7605\/(-825) - 6\/33. What is the nearest to 2 in v, 13, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229500?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 12:55 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53687838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*s = -52*s + 1320 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:39 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 6768463?\nAnswer: -6768470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (57 - (51 + -29)) + -7\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41554, 41883, 42430, 43195, 44178?\nAnswer: 45379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 604034117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and -11.\nAnswer: 3.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 465978566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 113 = -6*w. Let c = w - 20. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 43 + 22 - 21.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10*(-5 + -752). Let q = 13531\/45 + x. What is the common denominator of q and -54\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22 - 1\/4*0. Suppose v*l - 19*l - 21 = 0. Find the second derivative of 0*o + l*o**3 - 5*o + o**3 + 2*o wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -46. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 707314 - -1.4.\nAnswer: 707315.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111.1 times 0.2\nAnswer: 22.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 195*s. Let y(c) = -944*c - 7. What is y(u(i))?\nAnswer: -184080*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -2. Let f = -13.3 - k. What is the closest to -2\/7 in 2, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-105)\/(-4))\/7 + -4. Let w = 0.77 + -0.95. Let d = w - -0.28. What is the closest to k in d, -2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*c + 920 = 499*c. What is the smallest common multiple of 55 and c?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (129 - 3) + 0. Find the third derivative of -50*l**2 - 2*l**2 + 28*l**3 - m + 129 wrt l.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581461219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-13) + ((-74)\/(-10) - 595\/425).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/33)\/(80\/(-660)))\/(6\/(-36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 901\/85)\/(25\/(-375)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - 2*w**3 + 3*w**3 + (-4 + 3 + 2)*(w**3 + 0*w**3 + w**3).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 6. Let g be w(0). Let v(x) = -x. Let y be v(g). Let j be (-1)\/(-2)*(y - 2). Put -5, 2, j in increasing order.\nAnswer: -5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 13*q**2 - 28*q + 16. Calculate y(14).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1747 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220303 - 10?\nAnswer: -1220313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 273?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 169*i - 174*i + 526*i - 184*i.\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*(2736\/(-7200) + 6\/20).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*(4 + sqrt(500) + -2))**2 - (sqrt(500) + (sqrt(500) - ((sqrt(500) - (sqrt(500) + 2 + sqrt(500))**2)*4 - sqrt(500))) + sqrt(500))*3).\nAnswer: -22036 - 800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -5*t**2 + 2 - 3*t + 2*t - 5 + 4*t**2. Determine k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - 2\/(-3). Suppose 4*l - l = 12. Let z be (l\/(-3))\/((-2)\/3). Put 0.5, z, h in descending order.\nAnswer: z, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t - 44. Let k be i(4). Suppose m + 5*z - 683 = -0*z, -2*m - 3*z + 1380 = k. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 227*g - 224*g = 11, 3*c - 4*g + 11 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1568.95903 + 5.\nAnswer: 1573.95903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10196991*t + 2541230.\nAnswer: -10196991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2046*g**2 + g. Let j be c(2). Suppose 4*l = -v + 3267, -v + 1 - 6 = 0. Let w = l - j. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297984583.\nAnswer: 3, 19, 47, 491, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -731*g**6\/6 + 3*g**5\/5 - 1580*g**2 - 3533. What is the second derivative of z(r) wrt r?\nAnswer: -14620*r**3 + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-312)\/(-10)*((-15)\/(-10) + 1). Calculate the highest common divisor of b and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {d: 4, w: 5, k: 8}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.23 + 12.23. What is the nearest to 104 in 4, i, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 38 + 73. Let f = -8 + y. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1400\/2565)\/8 - (-106)\/(-1007).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 104. What is the tens digit of d(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k - 73*k + 5*x - 24 = 0, 0 = 2*k - 4*x - 12 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/12 + 187*y - 6. Let x(u) = 4495*u - 1. Give m(x(t)).\nAnswer: -20205025*t**2 + 8990*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3487806 = 22*a - 1078490 - 2577830. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwvmddmwsm. What is prob of sequence ddv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbabbabb?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 459848 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n + 2 - 4 + 0. Let p be y(3). Suppose -p = -3*c - 10. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7510 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 19. Suppose 2*c - 7*c = 65. Let u be x(c). Let y be u\/(-1 - 1) - -16. Calculate the highest common factor of 117 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1228*b**3 - 7*b**2 + 25 wrt b?\nAnswer: -7368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -112*t**2. Let v = -88 + 98. Let i(n) = n. Let o(w) = 2*w**2 - 10*w. Let q(h) = v*i(h) + o(h). Determine q(g(k)).\nAnswer: 25088*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*h**6 + h**4 + 18*h**2 wrt h.\nAnswer: 27480*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**5 + 3*w**4 + 3. Let a(k) = 2*k**4 - k + 2. Let z(i) = -3*a(i) + 2*g(i). Find the second derivative of z(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 a factor of 5783641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -o + 63, -1196*k + 19 = -1194*k - 3*o for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(55\/44 + 3\/(-4)). Suppose 7*g + t + 14 = 3*g, -g + 4*t - 12 = 0. Let u be g - -1 - (-5 + 1). Which is the closest to p? (a) -0.3 (b) u (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -942 and 0.0463.\nAnswer: -43.6146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2397 - 2347. Calculate the highest common factor of 400 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -21. Let c = -26\/3 + 9. Is c bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170828 to the power of 1\/2, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -2.7598?\nAnswer: -22.0784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 12:50 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135 in -1, 3, -3.99?\nAnswer: -3.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 i when four letters picked without replacement from {f: 5, k: 1, i: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.6 + -27.1. Let k = 0.2 - 0.4. What is the closest to n in 1\/10, -1\/4, k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:26 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1526 and 57\/91?\nAnswer: 19838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 86 = -2. Let a(x) = -x**2 + 13*x + 14. Calculate the remainder when a(10) is divided by (-206)\/(-14) + 12\/j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, -0.16, 3 in decreasing order.\nAnswer: 3, -0.16, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 52. What is the remainder when f is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*c - 20 = 0, 119116*c - 119119*c - 7 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 28\/(-8))\/((-2)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - q - 3*q. Let a(m) be the second derivative of m**6\/240 + 4*m**4\/3 - 16*m. Let i(f) be the third derivative of a(f). Determine r(i(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2682 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 28*a**2 - 28*a + 633. Calculate l(-26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131133564 divided by -4302?\nAnswer: 30482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/22 and 79\/3828638.\nAnswer: 3828638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, o: 5, l: 1}. What is prob of picking 1 o and 1 n?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -1704690?\nAnswer: -1704687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*i + 8 + 8 = 0, -5*l - i + 17 = 0. Suppose -237 = l*p + 993. What is p rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-1 + -2 - -1). Suppose -y = p - 5. Let b(k) be the first derivative of k**3\/3 - k**2\/2 - k - 312. What is b(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t + 10 = 5*k, -2 = -5*t - k. Suppose g - 2 = -t. What is the least common multiple of g and 2\/1*(3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165766007 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83, 235, 491, 851, 1315, 1883, 2555?\n\"Answer: 52*v**2 - 4*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1 - 5 + l**2 + 3 + 6 - 15*l. Calculate the common denominator of z(17) and -39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6332 divided by 243.\nAnswer: -6332\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u**4\/4 - 3603*u**3\/4 - 31347*u**2\/2 - 76245*u - 13350 = 0.\nAnswer: -89, -10, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s + 3. Let g(t) = 173*t - 13. Give g(j(h)).\nAnswer: -1557*h + 506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 1, v: 1, f: 1, z: 1}. What is prob of sequence zfe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*w + 14753105, a - 2*w + 381050 = -4536652. Round a to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**5 + 12*y**4 + 32*y**3 + 5*y**2 + 5. Let v(q) = 2*q**5 + 6*q**4 + 16*q**3 + 3*q**2 + 3. Let n(o) = -3*t(o) + 5*v(o). Solve n(w) = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + (-4)\/((-6460)\/35547))*(-20)\/(-6)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3 - 580*n**2 - 12092*n - 57596 = 0.\nAnswer: -121, -17, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1561, -3048, -4461, -5800, -7065, -8256, -9373?\n\"Answer: 37*u**2 - 1598*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*m**2 - 41*m**2 - 55*m**2)*((-2*m - 2 + 2)*(1 + m - 1) - 1 + m**2 + 1 + 3*m**2 - m**2 + m**2) as b*m + c*m**4 + w*m**3 + j + v*m**2 and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**3 - 2*w**2 + 6*w + 21. What is the hundreds digit of i(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (8 + -1)) + (6 - -7 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 848452 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20919 divided by 18453?\nAnswer: -6973\/6151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 125725\/(-9541) + (-3)\/(-21). Which is smaller: k or -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -113 + 43. Let y = -11 + 20. What is the remainder when k is divided by 17*(-1 + 2) + (12 - y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 57 + (27 - (-23 - -71)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 9*f + 8. Let q be c(-11). Suppose -156 = -79*x + 66*x. What are the prime factors of q\/(34\/38 - x\/(-114))?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13*u**2 + 5. Let a(h) = -189*h**2 + 72. Let y(z) = -5*a(z) + 72*x(z). Let k(b) be the third derivative of -b**4\/12 + 14*b**2. Calculate k(y(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220030421 (base 6) to base 3.\nAnswer: -21101022112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/(-22)*77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -39*f**2. Let i(u) = 284*u**2. Give c(i(j)).\nAnswer: -3145584*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-288))\/((-2)\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888320 is divided by 59010.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*g**3 + 167 + 47*g**3 - 4*g**3 - 31.\nAnswer: 170*g**3 + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.036 - 25.036. Let j = -2926634605 - -2926634580.00000026. Let h = j - d. Round h to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7678, -14555, -21432?\nAnswer: -28309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -46305*s**4 + 482895*s**3 - 626850*s**2 + 288500*s - 45000 = 0.\nAnswer: 10\/21, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)*l*(l\/(l*l\/(l**(-11)*l)*l))\/l*l**(-12)\/(l**(4\/11)*l) assuming l is positive.\nAnswer: l**(-1975\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -30128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32095.8 minus -0.33186?\nAnswer: -32095.46814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 5*t - 20. Solve -4*c - t = 2*w, 9*c - 4*c = 2*w - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -35. Suppose -7*a + m = -0*a. Suppose -a = -4*w - 2*g, g + 2 = -0*w + 5*w. Let k(n) = 16*n**2 - 1. What is k(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 43 + 11 = -2*s, -5*l + 6*s = 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8561*n + 17104*n - 8545*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 56 - (-44 + 2 + 5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2066 + 2064. Put -5, -156, -4, 5, i in decreasing order.\nAnswer: 5, i, -4, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 73. What is the greatest common divisor of o and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*i - 2)*(6*i**2 + 0*i**2 + 12*i - 8*i)*(-1 - 1 - 1).\nAnswer: -72*i**3 - 48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45220512 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/3 + 10*j**3\/3 - 12*j**2 + 18*j - 9 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*x - 2*m, -3*x = m - 14. Suppose -x*q + 163 = -2*q + 3*y, -y = 4*q - 341. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/6*39\/2. Let v = -5\/46 + -653\/23. What is the common denominator of v and (-20)\/30 + u\/60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -776*s - 108 + 4*s**3 - 770*s + 1553*s in the form h*s + c*s**2 + j*s**3 + b and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g + 1. Let j(z) = 4*z**2 + 3*z + 5. Suppose -6 = 3*u - 12, 4*h - u = -6. Calculate h*j(f) + 3*p(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -58.6, -1\/3, 1.5, -30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 4. Let n(q) be the third derivative of 0*q - 1\/8*q**4 + 0 + q**2 - 1\/2*q**3. Let g(a) = -4*n(a) + 3*u(a). Let b(c) = -2*c**2. What is g(b(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*29.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - (3 - 7 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*j - 1560, 2*z - 1558 = -z - 4*j. Calculate the remainder when 143 is divided by ((-2)\/6)\/((-6)\/z).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2445800 by 35.\nAnswer: -69880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -120320030131?\nAnswer: 120320030132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3 - 2*m - 3*m - 2*m + 4. Let n(x) = x. Calculate 6*n(h) + w(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**6\/24 - 2*x**5\/3 - 35*x**4\/24 - 35*x**2 - x. Determine d, given that z(d) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.5 and -1448?\nAnswer: -12308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-86)\/30 + 3 - (-8)\/40. Let q be 1 - 0\/(0 + 1). Which is the closest to d? (a) -0.5 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5550 + 2?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 0*l + 4*l + b*j = 57, 2*l - 21 = -5*j. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.8 and 484.9933159?\nAnswer: 486.7933159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1300274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*z + 11 = 22, -2*b = -5*z - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -500, 2, 0 in ascending order.\nAnswer: -500, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-182)*84\/78624*-273.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/6 (b) 0.5 (c) 2 (d) 2\/5 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 170397*q - 12433653. What is w(-73)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:35 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {z: 3, r: 3, f: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 2. Let b = 14 - -13. What is the remainder when b is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 36*t**2 + 3*t + 1. Suppose 3*p - 10 = -y - y, -5*p + y - 5 = 0. Suppose p = -3*x - 3. List the prime factors of m(x).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**6\/6 + 15*h**4\/4 - 2*h**3 + 7*h**2\/2 - 16. What is the third derivative of w(k) wrt k?\nAnswer: -60*k**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 917 - 20. Let j = -896.9 + b. What is the nearest to j in 1\/112, -5, -0.5, 2?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269356.9t to grams.\nAnswer: 269356900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 17 + 5. Suppose 2*b + 4*a - 5*a + 5 = 0, -3*a = -15. Let r = b + s. Solve r - 4 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, u: 1}. What is prob of picking 2 r and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*z - 70 - 355, u - z = 214. Suppose 0 = -3*r - 4*r + u. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 + 2*p**4 + 7 - 2*p**3 - 333*p**2 + 336*p**2 + 2*p to the form w*p + j*p**2 + h + i*p**3 + y*p**4 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - 11*w**4 - 202524*w**3 + 202517*w**3 - 5*w**2 in the form d*w**4 + s + c*w**3 + f*w + o*w**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133*r - 160?\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Suppose -5*g + p = 22, -p - 18 = 4*g + g. Let c = -34 + 29. Sort n, g, c in descending order.\nAnswer: n, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (0 - -2 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349314598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30730 - 30751) + (-1 - ((-1 - -10) + 0)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -21*a**2. Let n(w) = 3759 - 7*w**2 - 3759. Calculate u(n(o)).\nAnswer: -1029*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 123 = -5*q. Let t = 56 + -34. Calculate the highest common divisor of t and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 0*d**2 + d - 14 + 18 - d**2 - 4*d**3 + 3*d**3. Let i be r(0). Solve -i*f + 5 = 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) -0.5 (c) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56066, 56016, 55966, 55916, 55866, 55816?\nAnswer: 55766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 69, -1972 in ascending order.\nAnswer: -1972, -3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-126)\/10 + 2\/(-5). Let k = 2470 - 1735. Let w be ((-2)\/(-10))\/(-1)*k\/(-588). Is w equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3952 + -3951.89. What is the fourth biggest value in g, -6, -5, -0.5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = 45*v - 42*v. Differentiate 108*f - 294 + 97*f - 66*f + v wrt f.\nAnswer: 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -971, -980, -999, -1034, -1091?\n\"Answer: -s**3 + s**2 - 5*s - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 78 + 3 + -33 + (-5 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*s*y**4 + 3*s*y**3 - s*y**2 - 13*s*y + 119*y**4 + 5*y**3 - 206*y**2 - 1 wrt y.\nAnswer: 264*s*y + 18*s + 2856*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2383974 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 13834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-8)*6\/15*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 293, -0.2, -1\/2 in increasing order.\nAnswer: -1\/2, -0.2, 0.4, 5, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 311965 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*y**2 + b**3*y + 14487*b**2*y**2 + 2680*b**2 - 2*b*y**2 wrt y.\nAnswer: -4*b**3 + 28974*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z + 160. Let c be a(23). Is c bigger than -4\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*b*j*k**2*q - 33*b*j*q + 2*b*k*q + 1523*j*k**3*q + 2*j*k**2 - 12*j - q wrt k?\nAnswer: 26*b*j*q + 9138*j*k*q + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.2379 centimeters in kilometers?\nAnswer: 0.001382379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, 0.03, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6930 and 11858.\nAnswer: 533610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8871133 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909076.7 minutes in hours?\nAnswer: 31817.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5644, -22603, -50878, -90475, -141400, -203659?\nAnswer: -277258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 716, 729, 758, 809, 888, 1001, 1154?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) - -30*196\/(-336)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrruu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21134?\nAnswer: 2, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2087263038 + -4\nAnswer: 2087263034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 0 + 2\/3*l**3 + 5\/2*l**2 + 1\/12*l**4 - 21*l. Let y be -2 + 0 + 2 - 4. Calculate t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(sqrt(304) + 4*-1*sqrt(304)) - ((sqrt(76) + -1)*-4 + -5)))**2.\nAnswer: -544*sqrt(19) + 87872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-12))\/((-39)\/78))\/(-36*36\/(-80352))?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3992*x**3 - x**2 + 5*x + 29?\nAnswer: 23952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1814)\/21768*(-8)\/(-3)*(-6)\/(-20).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v + 7*v + 15*v to the form y + u*v and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 32864a6?\nAnswer: 32864a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8092600 rounded to the nearest 10000?\nAnswer: 8090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*g**3*n**3 - 6532*g**3*n**2 + g**2*n**2 - 4*g**2 + 461*g*n**5 - 5*g*n**2 wrt n.\nAnswer: -1296*g**3 + 27660*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -320.93099 to one decimal place.\nAnswer: -320.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Let j = 7 + -10. Let u = 43.5 - 44.5. What is the nearest to u in -1, j, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9\/b**(2\/3))**(-17)\/((b\/((b**(-1\/3)*b)\/b)*b*b**(-1\/3))\/(((b\/(b*b*b**(3\/7)*b*b))\/b)\/(b*(b*b**(-3\/4))\/b))) assuming b is positive.\nAnswer: b**(-12461\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3682 = -5*q, 0 = -41*k + 44*k - 5*q - 5573. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12096384 and 23936.\nAnswer: 133060224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19218, -19228, -19232, -19236, -19246, -19268?\nAnswer: -19308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-121)\/22)\/((-1)\/2). Is l > 747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 + 254*a - 3145. Calculate i(21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = 103*v + 4*c, -727*v + 7 = 720*v - 1446*v - c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 5\/2. Suppose -4*a = -2*f - 23464, f - d = 2. Let g = -432 - a. What is g rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 5781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1421714\/19 - -74635. Let o(p) = -8*p**3 - 51*p**2 + 161*p. Let i be o(3). Let j = i - u. Which is the closest to 2\/9? (a) -0.2 (b) j (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 2*b**2 - b - 3. Give r(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 + 234*k**3 + 11*k - 10323 with respect to k.\nAnswer: 8*k**3 + 702*k**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8970810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 114\/4 + (-3)\/(-2).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*d + 4, d = 2*d - 4. Let z be 12\/(-8)*(-16)\/r. Is 9 a factor of z - (1 + 2) - -26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*f + 4 - 1, -10 = -2*f. Let v = -514 - -519. Calculate the lowest common multiple of v and (-1)\/((15\/k)\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emremoememme. Give prob of sequence re.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.53513 and 0.13.\nAnswer: -0.4595669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1642482 to the nearest one thousand.\nAnswer: 1642000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -487.999714 - -488. Round v to five decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(4 - 11\/2). Solve -4*u = -u - 3*a + s, 2*a = -u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7421 (base 12) in base 13?\nAnswer: 5a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4251 by -61242.\nAnswer: -1417\/20414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83b (base 14) to base 5.\nAnswer: -22441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879851?\nAnswer: 7, 125693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11872*z**5 + 2*z**3 - 27399*z?\nAnswer: -237440*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - 9*y - 18 + 18.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 7:57 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5630 - 5*w**3 + 11257 + 0*w**3 - 5633.\nAnswer: -5*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2. Let r(l) = -l**3 - 14*l**2 + l + 17. Let c be r(-14). Let s(o) = 7*o - c*o + 6*o. What is s(w(v))?\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i*i**(-2))**31 assuming i is positive.\nAnswer: i**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 3*o**4 - 3*o**4 + (-2*o + o - 2*o)*(-o + o + 2*o**3).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g**4 + 1 - 257*g**3 + 255*g**3 - 5*g**2 + 4*g**2 to s + q*g**4 + v*g + h*g**3 + f*g**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w + 27544 + 2*w**3 - 2*w**2 - 27544 + 2*w**4 in the form v + q*w**4 + o*w**3 + y*w + z*w**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*x - 71*x = -481 - 1289 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 + 0 = 0. Let t be (-20)\/(-8)*(-11 - (-2012)\/180). Which is the smallest value? (a) -2\/5 (b) 10 (c) z (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0.03, -1\/4, 0.28, -36 in increasing order.\nAnswer: -36, -1\/4, 0.03, 0.28, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 47 + 48 - 40*j + 93*j - 53*j as q + h*j**2 + c*j and give q.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:42 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 15*t = -5*v + 56, 0 = -5*v + 9*t + 78 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*v + 86 = 0, -21 = -5*m + v + 176. Suppose 4*s = -i - 1 - 2, 2*s = -3*i + 41. Let z = i + -3. What is the remainder when m is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134691 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146197436 + 0.0088.\nAnswer: 146197436.0088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 227 and 544.\nAnswer: 123488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q\/q**4))*q))\/q**(2\/7))\/(q**0\/(q**(2\/3)*q)) assuming q is positive.\nAnswer: q**(92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*g + 728 = -238*g. What is the highest common factor of 182 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4698567?\nAnswer: 3, 19, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -44*o - 90*o + 2556. Solve -l + o = -5*u, -2*l = 3*u - 2 + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 3*n**3 - 3*n**3)*(-1 + 2 + 1) - n - 2 + n**3 + 2.\nAnswer: -3*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -4*s - 5*d, -31*s + 28*s + 198 = 3*d. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, p: 2, b: 5, i: 2}. What is prob of sequence bb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/3 - 9*d**4 - 26*d**3\/3.\nAnswer: -d**3*(d + 1)*(d + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 30. Suppose -a*f + 5 = -13*f. Let u(n) = -n + 6. Let j be u(3). Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_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: What is 43177 (base 9) in base 15?\nAnswer: 8707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (8 + 0 + -1 - (-252 + 143 - -37))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 45117, 15 in increasing order.\nAnswer: -2, 15, 45117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 158215303 or 158215302?\nAnswer: 158215303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330000 rounded to the nearest one hundred thousand?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65a10 + 2?\nAnswer: -65a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1200486 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1 + (-6)\/5). Let g(a) = 2 - 3 + 5*a - o. Give g(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a hour in minutes?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 191*i**2 + 175*i + 176. What is y(-1)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 120133232?\nAnswer: 120133231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44\/93 + -6\/31. Let o = 0.1 - 0.1. Which is the closest to s? (a) o (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7442, -29781, -67020, -119165, -186222, -268197?\nAnswer: -365096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let c be i(5). Let r(o) = o - 1. Let n(q) be the first derivative of 2*q**2 - 7*q + 81. What is c*r(y) + n(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38696*i**2 + 2*i - 4999?\nAnswer: 77392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 71*z**2 + 63*z - 170. What is p(70)?\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.2 + 18.8. Let k = b - 76.3. What is k rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 744 by 3.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680893899.\nAnswer: 3, 7, 19, 1706501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 5, 553, 1?\nAnswer: 553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*m + 30 = 0, v - 80 = 5*v - 4*m. Suppose -l + 20 = 58. Let a = v - l. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-12) + (-22)\/(-48)*-6. Let z(k) = -k**3 - k**2 + k - 1. Let d(l) = -4*l**2 + 2*l - 1. Calculate w*z(g) + d(g).\nAnswer: 2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*3*6)\/(sqrt(12) + (sqrt(144)*2)\/sqrt(12)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3 + 2\/2). Suppose 0 = -4*q - g*o - 8, -2*q + q = -3*o + 9. Let j = 1 - q. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458921729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4790 and 62749.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75816 = 10*y - 11*y + 25*y. What is the highest common factor of 54 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -21. Let h(c) = -2*c - 21. Suppose 0 = -4*j + 2*j - 22. Let u be h(j). Sort -2, z, u in decreasing order.\nAnswer: u, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2166*o**3 + 2160*o**3 - 4317*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10723653?\nAnswer: 3, 211, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzzgzwwwwzzzwzzwwz. What is prob of picking 1 w and 1 g?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2060 and 360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 - 20540538189334.\nAnswer: -20540538189349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*m + 136 = 0, 2*s - 4*m + 5*m = 292. Let j = -430\/3 + s. Sort 3, j, -0.4, -2\/37 in decreasing order.\nAnswer: 3, j, -2\/37, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 0 + 0 - p. Suppose -3*r + 32 = -q - 4*q, 5*r + 4*q - 4 = 0. Determine g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33494319 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 4*h + 3. What is w(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1438 - 1092 = 10*h. Let m = h - -255. Solve f - 5 = -0*f + d, m*f - 3*d = 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inu when three letters picked without replacement from iuuniuunuvwunuwnniw.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.29 - -0.21. Which is the nearest to 1? (a) 1 (b) f (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times 134715?\nAnswer: 28290.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582376 divided by 1988?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n + 4. Let q be x(0). Suppose q*a - 4*t - 72 = 0, -4*t + 18 = 2*a - 0*t. Let r = 20 - a. Solve 6 = r*p + 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 + 633*s**2\/2 + 10170*s.\nAnswer: -3*s*(s - 452)*(s + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -2\/7, -0.5, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j - 14. Let t(x) = 688*x - 21. Let w(h) = -375*h + 11. Let z(d) = -6*t(d) - 11*w(d). What is -6*p(b) - 17*z(b)?\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 13*w - 117. Calculate f(6).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 9*c**2 + c + 3. Let j be u(8). Suppose -2*a = -7*a + j. Let h be 145\/a + (-2)\/3. What is the greatest common factor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 2\/8417, -3\/8, 3 in ascending order.\nAnswer: -5\/4, -3\/8, 2\/8417, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxcxxcxxc. Give prob of sequence cxcx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4893719.\nAnswer: 41, 119359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i + 10*i**2 - 4 - 42*i + 75*i.\nAnswer: 10*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 8*u + 8. Let a = -6.54 - -5.5. Let b = a + 0.94. What is the second biggest value in b, -0.3, -2\/7, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -9. Which is smaller: z or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3794708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -34, -5, 0.3 in descending order.\nAnswer: 4, 0.3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 18551*i**2 + 9408230*i.\nAnswer: -i*(i - 19045)*(i + 494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -258 - -3?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/31 and -52\/27.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -629, -2, 12, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242806\/25 or 9713?\nAnswer: 9713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23219781 divided by -7739927?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, 868, -1\/6, 0.09 in increasing order.\nAnswer: -5, -1\/6, 0.09, 10, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 + 6*p**2 - 11*p + 10. Let u(r) = 7*r**3 - 11*r**2 + 23*r - 20. Let w(g) = -5*n(g) - 2*u(g). Let i be w(7). Solve 2 = -i*f + 6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -170179281 and 0.4.\nAnswer: -170179280.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4225\/7 + -604. What is the biggest value in 22, -5, 4, b?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*f + 4, f - 13 = -6*r + r. Let q be 12\/32*r + 1705\/372. Let -q*v + 32\/3*v**2 - 4*v**3 + 0 = 0. Calculate v.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 701 + -701.1. What is the nearest to 2\/5 in u, 0.2, -4, -5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 135188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12206)\/(-2154))\/((-1)\/(-12))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*y**2 + 10*y**2 + 88*y**2 - 70*y**3 + 7*y - 119*y**3 as x*y**3 + c*y + q*y**2 + o and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/26 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 + (-1 - 1)). What is the third derivative of 3*w**3 + 2*w**2 - r*w**3 - 2*w**4 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbqqhfbqbrerqr. Give prob of sequence bqf.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)*r\/r**4)\/(r**(-4\/3)*r\/r**5))\/((r\/r**(-5)*(r\/r**5)\/r)\/(r**(-6)\/(r**(-1)\/r))) assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/245 - 32\/14. Let c = 3\/2 - n. Factor -c*z**2 - z + 0.\nAnswer: -z*(7*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/16)\/((-1)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289.9 + 268. What is s rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 4, 5, -4, -149 in ascending order.\nAnswer: -149, -4, 4, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/4*d**3 + 2*d + 13\/4*d**2 + 0 = 0 for d.\nAnswer: -8\/21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -511*v + 85879. Determine p(168).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (9\/2)\/(12\/64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f - 180. Let h be ((-218)\/(-3))\/(40\/(-420)). Is h\/(-6) + 6\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*i = 2*t + 18, -3*i + 6 = 0. Let g = t + 157\/6. What is the biggest value in g, -1\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*k**2 - 2*k**5 - 2*k**2 + k**2 wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.64 plus -297.68082127?\nAnswer: -512.32082127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 40 + 45. Put -19.3, -3, a in ascending order.\nAnswer: -19.3, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 h when four letters picked without replacement from ttthhtftfthtththtth?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*f + f**2 + 729*f - 1465*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 33*x - 149*x + 115*x - 5. Calculate t(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 33045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, -206.77, -0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 88583 - 88583.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.517 rounded to the nearest integer?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -19, -29, -37, -43, -47, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -43.\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-3))\/((-3)\/45). Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 6*p + 5. Suppose 2*j + 2*y + 10 + 8 = 0, 5*j + 27 = y. Let x be f(j). Suppose x*v = 2461 - 7561. What is v rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b**2 - 1. Let m be 1*(4\/(-4))\/(-1). Let i(v) = 3*v**3 - 6*v**2 + v - 6. Let d be 2 + 14 - (1 - 0). Let r = -21 + d. What is m*i(q) + r*a(q)?\nAnswer: -3*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -863*b + 863*b - 22*b**5 + 27 - 27 + 11*b - 2*b**5 + 0*b**5 + 0*b**5 + 2*b**5 + (2*b + 3 - 3)*(2*b**4 - 6*b**4 + 2*b**4).\nAnswer: -26*b**5 + 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)**15*u*u**(3\/7)*u\/(u\/(u*u**(-8))))**(-35) assuming u is positive.\nAnswer: u**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-21 + 6) - (6 - (8 - (4 - -1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 268.4574 and 125.3884.\nAnswer: 393.8458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -291*c - 2. Let v(r) = 246*r**2 - r + 2. Give w(v(d)).\nAnswer: -71586*d**2 + 291*d - 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/(-30))\/(12\/390)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 211117926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.039 - -0.069. Suppose 0 = 4*h - 2*j + 2, -2*h + 3*j = -4 + 3. What is the third biggest value in h, 1\/2, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c*n**6 - 28*c*n**3 - 189*c*n - n**2 wrt n?\nAnswer: -840*c*n**3 - 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 220, 341, 480, 643, 836?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9513*b**2 + 1. Let w(p) = -4*p**2. Give u(w(a)).\nAnswer: 152208*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 54 = 2*x, 11*x = 38190*c - 38188*c + 9 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in 1\/8, -2\/5, -2\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 47*v + 295. Does 3 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -23*d**3 - 20*d**2 - 4*d - 9. Let o(r) = -43*r**3 - 43*r**2 - 9*r - 21. Give 7*n(s) - 3*o(s).\nAnswer: -32*s**3 - 11*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, i: 5}. Give prob of sequence bbi.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -15, 2 in descending order.\nAnswer: 4, 2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4 - 4*k**3\/3 - 2*k**2 + 3*k + 48. Suppose 3*c = -0 + 9. Is 13 a factor of r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1986140733 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 495168108 to the nearest integer?\nAnswer: 22252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 2\/48*15. Let d(n) = -n + 2. Let z be d(2). What is the second smallest value in u, z, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 3.6. Let m = -10 - -14. Let a = m + -4. Put h, 4, a in ascending order.\nAnswer: h, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29314269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1.25404 (b) -1\/8 (c) 2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/36 - (3 - -2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -27248 divided by -21\nAnswer: 27248\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 25 - 235. Let j = 101 - 89. Calculate the remainder when n is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/12 - t**2 - 16*t. Let h be s(2). Calculate the least common multiple of (-9)\/h*(-180)\/27 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {s: 1, m: 8, u: 6, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2204696\/(-610385) + 18\/5?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 2:37 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (357\/2618)\/((-6)\/184) + 5.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1442 (base 5) to base 7.\nAnswer: -502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 121*x**2 - 102*x**2 - 6 - 13 - 4 + 4 + x**2 + (2*x - 1 + 1)*(2*x - 3 + 3).\nAnswer: 24*x**2 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*z + 12, -5*z + 2*w - 65 = -3*w. Is -11 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, 3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32679\/16 + 2046. What is the common denominator of 147\/(-15)*1\/(-4) and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3000))\/sqrt(6) - -2*(sqrt(80)\/sqrt(2))\/sqrt(8).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 4?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 15 = -t. Suppose 2*l - t*l + 4 = 0. Let n(z) = z**2 - 3. Let o = 3 + 0. Let u(j) = -2*j**2 + 4. What is l*n(w) + o*u(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7563917459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 125*u**2 - 212391*u - 212390. Calculate s(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -g + 48. Let b be (-12)\/g*(-90)\/12. Suppose 0 = 3*w + 3*r - b, 0*r = 3*r. Solve w*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14701*t + 2572680. Determine n(-175).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m**2 + 34*m - 2. Give b(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11291600 rounded to the nearest 100000?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -173 + (21 - -3) + 7 + 14 + -10 + 4?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -129, 377, 1473, 3453, 6611?\n\"Answer: 49*r**3 + r**2 + 160*r - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + 5*x - 4*x)*(-x + 0 + 0 + (4 - 3 + 1)*(-4*x + 3*x - x) + 2*x + x - 4*x + 7*x - x - 2*x) - x**2 + 2*x**2 - 2*x**2)*(-3*x**3 + 7*x**3 + 0*x**3).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131 - 13.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - x**2 + 8*x + 2. Let j be f(4). Let a = j + 160. Suppose 0 = -2*q + 5*y + a, -4*y = -5*q - 2*y + 264. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74716.\nAnswer: 2, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**3 + 2*f**2 + 494140*f - 12121711.\nAnswer: 15*f**2 + 4*f + 494140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k - 19. What is j(6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2 - (9 - 4)) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -307023, 2\/13, -0.4 in decreasing order.\nAnswer: 2\/13, -0.4, -307023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 4.166?\nAnswer: 4.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*(6 + -432). Let o = g - -1384. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 3. Let m be 8\/(-6)*(-36)\/(-8). Let n be l(m). What is the second derivative of 5*a**n - 2*a**3 + 3*a + 0*a wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1)\/(-2)*10. Let z = -3.8823 + -6.1177. Which is the closest to 1? (a) 3 (b) 4 (c) f (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/5, -22, -0.03, -29, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4730 and 67510?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*j - 1284 = 1057, 2*j = 5*r + 2349. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 592\/8 + -1 + -1. Suppose -l + 3*l = o. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 846 and 4939686?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 70)\/(9\/(-16290)) - 0. What is t rounded to the nearest 1000?\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 9. Let x be q(-7). Suppose x*a + 0*a = 0. What is the second derivative of -4*z**2 + 2*z**2 + a*z**2 + 0*z**2 + 3*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168989.\nAnswer: 347, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56 and 0.09.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**(1\/3)\/(q**(-5)\/q**(2\/3)))\/(((q**(2\/9)\/q)\/q)**(1\/2))**(6\/31) assuming q is positive.\nAnswer: q**(2141\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1976*r - 1975*r - z = -9, r + 5*z = 63 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*a**3 - 13*a**3 - 99*a**3.\nAnswer: -232*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 261696*w + 274. Let g(o) = 2*o**2. Determine i(g(a)).\nAnswer: -12*a**4 + 523392*a**2 + 274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 48 = 29*b. Find s such that -s**3 + s**4 + b*s**3 - 208*s + 216*s + 14*s**2 = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 32*i + 170376 = -6*i. What is the remainder when i is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**21)\/(o\/((o\/(o*(o\/((((o\/o**(-3\/20))\/o)\/o)\/o))\/o))\/o*o)))**30 assuming o is positive.\nAnswer: o**(-1371\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -56*112\nAnswer: -6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*n = 345 - 17, -1298 = -4*c - 2*n. What is the greatest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5\/4 (b) 1097897 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12195007 is divided by 4065000.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -34631?\nAnswer: -34640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -36*m - 1\/2*m**4 + 168 + 25*m**2 - 4*m**3. Factor r(a).\nAnswer: -2*(a - 2)*(a - 1)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 0*w**2 + w**2 + 7 + 11 - 21 + 3*w. Let r be (-1 + -2*2)\/1. Is f(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/52 in 2\/5, 1, 0.0662, -3?\nAnswer: 0.0662","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -164670, -329347, -494026, -658707, -823390?\n\"Answer: -g**2 - 164674*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1935 + 298. What are the prime factors of r?\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 0. Let f be 4*(15\/(-6))\/s. Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/13 + 124*m**4\/13 + 3174*m**3\/13 + 9032*m**2\/13 - 28072*m\/13 + 15744\/13 = 0. What is m?\nAnswer: -16, -6, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d8 - -15c2d?\nAnswer: 15d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -39089587.3 - -3.706\nAnswer: -39089583.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49.4634 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u + 4*u - u + 77*u**2 - 79*u**2 + 7*u**3 to p*u**3 + h*u**2 + r*u + o and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((sqrt(1260)*2 - sqrt(35))\/sqrt(5) - sqrt(49)\/(sqrt(28)\/sqrt(4)*-1)).\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/9, 2\/433, 0.02 in ascending order.\nAnswer: -1\/9, 2\/433, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:43 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325426819.\nAnswer: 4903, 66373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-4))\/(1545\/(-2781)))\/(3\/((-24)\/19))?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*i**3 + 145*i**3 + 57*i**4 + (2 + 0 + 0)*(87*i**3 - 87*i**3 - 6*i**4) in the form s*i**2 + c*i**4 + f + u*i**3 + t*i and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z + 348 = 99*z - 48*z. Calculate the remainder when 1\/((-5)\/(-114))*5 is divided by z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 600 in 8\/3, 1\/6, -0.1, 8\/7?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a166a42 + -1?\nAnswer: a166a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11320202 (base 4) to base 7\nAnswer: 130154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -150*h*n - 4*n - 2 wrt h?\nAnswer: -150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702898.\nAnswer: 2, 7, 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**3 - 158*m**2 + 61*m - 1. Calculate the remainder when 411 is divided by o(-23).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354660993, -709321984, -1063982975, -1418643966, -1773304957, -2127965948?\nAnswer: -2482626939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*s + 3*j, -2*j + 4 = 5*s - 2*s. Is (194\/s)\/(2\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-145 + 167 - (1 + -8))) + 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 2*a**2 - 2*a**2 - 8*a**2 - 2*a**2 + 0*a**2 + (-a**2 + a**2 + a**2)*(1 + 0 - 2) - 5*a**2 + a**2 + 3*a**2 as z*a + c*a**2 + o and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 2*j + 14. Let g be o(-13). Let q = g - -145. Suppose -3*r = -5*c - q - 54, -r = 3*c - 14. Solve 27 - 7 = -5*u - y, 4*y = -r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:28 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**2\/2 - 2*y - 1. Let d(o) = o - 2. Let u(p) = p**3 + 4*p**2 - 6*p - 5. Let t be u(-5). Let r be d(t). Give n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)*(l\/l**5)\/l*l*l)\/(l**(-9)\/(((l*l**(-3\/5))\/l)\/l)) assuming l is positive.\nAnswer: l**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 41 = -19. What is the second derivative of 201*l + 33*l**4 - 76*l**4 - 74*l + t*l**3 wrt l?\nAnswer: -516*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.1 (c) 121 (d) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 5, t: 1, a: 1, w: 1, k: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/11 + 94*p**4\/11 + 1148*p**3\/11 + 964*p**2\/11 - 1150*p\/11 - 1058\/11 = 0 for p.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -134?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q - 3*s + 120 = 0, 0 = -248*q - 236*q + 481*q + 3*s + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22127 and 1015?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/5 + 136*h - 114231\/5 = 0.\nAnswer: 303, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1b5 (base 14) to base 2\nAnswer: -101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 27. Let p be q(-32). Let t = 1.3 - -2.7. Which is the second biggest value? (a) t (b) -0.18 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (1 - 14) - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 5. Let o be p(-3). Let y = 11 + 3. Suppose -5*j + o = -y. Solve 0*z + j*z = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 67 = 55 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14973614 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d + 463 - 533 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:00 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -78910.6 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 639 (base 16) to base 15\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/20, -3, -0.3, 0.2, 2\/7?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s - 3. Let d be n(-10). Let x = 51 + d. Suppose q - 5*q = -x. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94561418?\nAnswer: 2, 7, 23, 37, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 + 5*a + 4. Let l be n(-4). Suppose 0 = -5*s + l - 20. Calculate the remainder when 69 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*q + 35*q + 4*l + 32, q - 4*l - 16 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34770 is divided by 201?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3403*q + 5442*q - 13892*q - 6409*q - 11359*q - 3367*q)*(2 + 4 - 5) in the form i*q + b and give i.\nAnswer: -26182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203943, -407860, -611777, -815694, -1019611?\n\"Answer: -203917*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 52 = 5*w. Let p = w - 6. Suppose g - 5 - p = 0. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111100000 + -101?\nAnswer: 1110111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 283181.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 + -330671\nAnswer: -330670.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152412 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(7) - -1*sqrt(7)) + 2.\nAnswer: sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -993.352 - -993.8119922. Let h = g + -0.46. Round h to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979041378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1735304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575442 (base 8) in base 14?\nAnswer: 14a398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53955 and 5341.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Suppose q + 0*q = -5*u + 23, 2*q - x*u + 2 = 0. Solve -q + 4 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.4091l to millilitres.\nAnswer: 642409.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 + 35 + z**3 - 36 - 4*z**2 as t*z**3 + m + p*z + a*z**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -0.4 (b) 1\/5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 11 + -5)*(2 + -1). Solve 0 = -5*i - 6*u + 3*u + 22, v = i + 4*u - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10192 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/22 and 7\/3502.\nAnswer: 38522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529042512.\nAnswer: 2, 31, 3082747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-4 - -5)*4. What is the closest to 34 in -4, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/3734992 and -33\/63494864.\nAnswer: 63494864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 64. What is the third biggest value in b, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-228) + (22 - (-14311)\/(-660))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26347228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 4. Let n(r) = 2*r + 3. Let o = -21 + 35. Suppose -39 + o = -5*x. Give x*n(f) + 4*l(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3866, 3853, 3844, 3839, 3838?\nAnswer: 3841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 248 = 4*z, -3*z - 213 = -219. What is the greatest common divisor of 108 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y - 69. Let q be m(10). Calculate the greatest common factor of q and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62577 divided by -9\nAnswer: -6953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 386*n**2*t**3 + 6973*n**2*t - 6*n*t**2 + 718*t**4 - 448*t wrt t.\nAnswer: 2316*n**2*t - 12*n + 8616*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 1\/4*h**4 + 30*h + 52 + 7\/2*h**2 + 0*h**3. What is the derivative of t(y) wrt y?\nAnswer: 3*y**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 2*u**2 - 131*u + 2. Let y(z) = 2*z**3 + 3*z**2 + 131*z - 3. What is 3*f(s) + 2*y(s)?\nAnswer: -2*s**3 - 131*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/671 or 0?\nAnswer: 7\/671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3553 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3084*b**2 + b - 1052.\nAnswer: -6168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*j**3*l*o**2 - 2*j**3*l + 16668738*j**2*l**2*o**2 - 217*j*l**2*o - 262038*j*l**2 wrt o?\nAnswer: 46*j**3*l + 33337476*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (9\/(-3) - -20). What is the highest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -8765\nAnswer: 61355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -2 - -2) + -27 - (-7 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2403352 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.28 in -3, -4, -0.3, -0.5, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 188?\nAnswer: 15980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10386508, 20773050, 31159590, 41546128, 51932664?\nAnswer: 62319198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**4 + 9*m**3 - 26*m**2 + 40*m - 20. Let p(x) = -3*x**4 + 27*x**3 - 79*x**2 + 121*x - 61. Let h(n) = -4*p(n) + 11*v(n). Let h(s) = 0. What is s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 629 and 3944?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.8 and 266.\nAnswer: -6064.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 24177948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/5 (b) -4 (c) -147 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54080\/(-2400) + (-14)\/5 and 52\/625?\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n, 4*t + 2*n - n = 16. Let u(p) = p**2 - 7. Let q be u(t). Is 7 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqx when three letters picked without replacement from {s: 2, e: 1, x: 8, b: 2, q: 2, f: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:05 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 6. Let a be z(5). Let c(v) = v**3 + 2*v**2 + 2*v - 3. Let u be c(2). Suppose 2*j - u = -5*h - 5, j + 3*h = 7. Is a at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 34. Let o be n(15). Suppose -3*p = o*z - 26, 4*z - 23 = -5*p + 15. Solve -5*s + 19 = -p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-19054194)\/(-19998)) + (-7 - -5). Let n = -10470\/11 - s. Is n greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24883\/10180 + -48\/509. Let n be (-23)\/5 + 16\/(-40). Calculate the common denominator of a and n\/20 + (-27)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 8792423?\nAnswer: -8792424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18055 minus -0.1?\nAnswer: 18055.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 3, b: 4}. What is prob of picking 1 w and 2 f?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 78888.\nAnswer: 1\/39444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1)\/(x\/x**(3\/8)))**(1\/4)*(x**(4\/7)\/x*x*x*x**(3\/4))\/((((x*x*x**(1\/4)\/x*x)\/x)\/x)\/x)**(-32) assuming x is positive.\nAnswer: x**(-4891\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.13364 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/100 and (-117)\/(-126)*(-14)\/280.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 5*v. Suppose 10 = -5*u + 3*u + 5*n, 3*u + 3*n + 15 = 0. Calculate q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 14 + 3 - 33*i**3 wrt i.\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26609744 and 271528.\nAnswer: 26609744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2341*x - 2354*x - 754. Sort x, 5, -4, 4.\nAnswer: x, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4643553?\nAnswer: 4643553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 17.1. Let f = -0.12 + -0.38. Sort f, 4, p in ascending order.\nAnswer: f, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlllilnillll. Give prob of picking 1 j, 1 i, and 2 l.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88598119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 + 5 = -4*s, 8 = -4*g - 5*s. Let h = 29 - 2. What is the greatest common divisor of g and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 16*l - 7. What is h(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18608 - -529.4.\nAnswer: 19137.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114193 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -775093 - -775168.9866. Let g = -76 + q. Round g to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 546b6 - 0?\nAnswer: 546b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3 = 4*n - 16, -3*n + 7 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 6*x - 1. Let q be z(4). Let g(s) = -4*s**2 - 5*s - 11. Let u(k) = k**2 - k + 1. Let j(v) = -g(v) - 3*u(v). List the prime factors of j(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112000122 (base 3) in base 15?\nAnswer: -3068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3765 - 3765 - 57*r)*(8*r**2 - 8*r**2 - 3*r**4 - r) - 2*r**5 - r + r + (0*r + 5*r - 4*r)*(2*r**2 - 2*r**2 + r**4).\nAnswer: 170*r**5 + 57*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:25 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 8524920*o - 3633713050320.\nAnswer: -5*(o + 852492)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20010111222 - -12?\nAnswer: -20010111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 536\/3*i**3 + 4\/3*i**5 - 88\/3*i**4 - 168 - 1328\/3*i**2 + 460*i = 0. Calculate i.\nAnswer: 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9336011 + 83451372?\nAnswer: 92787383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286.97 - -285. Let l = -0.03 + o. Let g = 0.19 - -0.01. What is the second smallest value in g, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 341601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5 - 13*h**4 + 83*h**3 - 123*h**2 + 54*h = 0. What is h?\nAnswer: -18, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/((-9984)\/(-200)) + (-2)\/(-12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4aa22b - -4a?\nAnswer: 4aa277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 5*m = 9*j + 301, -2*j = -m - 189. Suppose -2532 = j*a - 98*a. What are the prime factors of a?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 + 12 + -6 - 10) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x**3 - 13*x**2 + 49*x - 39. What is p(2)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 442*r**4 - 917*r**2.\nAnswer: 10608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -851024 times 31?\nAnswer: -26381744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -934, -1203, -1472, -1741, -2010?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -535 - -5?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -203\/1616 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 - 2*b - 6. Suppose 4 = -2*h - 2. What is the units digit of z(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-1\/3)\/m)\/m)**(-18)\/(m**(1\/5)\/m**(4\/7)) assuming m is positive.\nAnswer: m**(853\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3081153 is divided by 3183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64897350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15691 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose 0 = d - 3*p - 7, l*d - 2 = 3*p + 19. Suppose -2*j = 4*f, 4*f + f + 55 = 3*j. What is the lowest common multiple of j and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 63320, -144, -5 in increasing order.\nAnswer: -144, -5, 3, 63320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, 5405, 0, -1 in ascending order.\nAnswer: -1, 0, 4, 12, 5405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 d when three letters picked without replacement from {d: 2, x: 1, h: 2, r: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 54 = -28*x - 21*b, -2*x - 13*b - 55 = -25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Is (66\/6)\/(o\/19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -6, 157, 15, -3, -4, 3 in ascending order.\nAnswer: -6, -4, -3, 3, 15, 27, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 + 31 + 30 - 323*a + 35 to the form n*a + d and give n.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186163 - -82.429044?\nAnswer: 186245.429044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23220 and 252504.\nAnswer: 54288360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 206 = -4*n + 4*z, -4*n = -5*z + 769. Let x = 189 + n. Solve -2*r + x*b + 2 = -7, 2*r - 6 = 2*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -220319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 108 (b) -2\/9 (c) -12\/3437\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144076092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 10172?\nAnswer: 10172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + 0*j)*(-8 - 2 - 32)*(3 - 3 - j - 2*j + 2*j - 2*j + (-j - j + 3*j)*(0 - 3 + 2) + 0*j - 5*j + 3*j + 7 - 7 + 5*j).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 8:25 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2448, 19683, 66484, 157635, 307920, 532123, 845028, 1261419?\n\"Answer: 2464*g**3 - g**2 - 10*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 + 3*d**3 - 3*d**3 + (-2*d**2 - 5*d + 5*d)*(6*d**3 + 2*d**3 - 3*d**3) + 0*d**3 + 0*d**3 - 3*d**5.\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*i**3 - 2*i**2 + 9*i**3 - 5*i**3 - 2*i**3 + 0*i**2 + 0*i**2 + 0*i + 0*i - 3*i**3 + (-3*i**3 + 2*i**3 + 3*i**3)*(2 + 3 - 2) - i**3 + 0*i**3 - i**3.\nAnswer: -9*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.347 - -0.047. Let p = q - -0.3. Let j be -8*5\/(-180) + 56\/(-414). Which is the third smallest value? (a) -1 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*(-1 - -7))\/(-23 - -21). Solve 5*l = -t*n + 22, 4*l - 2*n - 23 = n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:02 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k + 6 = 0, 5*i + 3*k = -6. Solve 3*r - 5*r + 2 = i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 v when three letters picked without replacement from oooomjjvjvmmjjmom.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - z + z - 3*z. Let o(y) be the third derivative of -y**5\/60 + y**4\/12 - y**3\/3 + y**2 + 3*y. Let n(t) = 3*o(t) + 15*x(t). Factor n(f).\nAnswer: -3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**6\/720 + v**4 + 14*v. Let h(p) be the third derivative of l(p). Let x(o) = -3*o. Determine h(x(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*i - 532*i - 4*z - 17 = 0, i - 2*z - 11 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71291 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/13 - 18*z**4\/13 - 10*z**3\/13 + 50*z**2\/13 + 12*z\/13 - 32\/13 = 0. Calculate z.\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057313 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/(-4))*((-864)\/54)\/1920.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 3*a - 21 - 21 + 2*a.\nAnswer: -a - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*b - 4*b + 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(8\/7)\/f**(-4)*(f\/(f\/f**(-2\/11)))\/f**(-1\/4) assuming f is positive.\nAnswer: f**(1605\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibhb when four letters picked without replacement from obfbofbiohe.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2\/4 + 150474*n + 601908 = 0. What is n?\nAnswer: -4, 200636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 678*c**3 + 83584*c**2 - 1867080*c + 9654400 = 0. What is c?\nAnswer: -112, 10, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2309, -9222, -20747, -36884, -57633?\n\"Answer: -2306*v**2 + 5*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285168 and 6720.\nAnswer: 39923520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(88\/(-18) + (-648)\/(-729))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sie when three letters picked without replacement from {s: 1, l: 3, i: 8, m: 3, e: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1351\nAnswer: 1\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) - (-8)\/6. Suppose -6 - 4 = -k*j. Let q = -2 + 7. Solve 0 = j*s + 5*m + q, 5*m + 14 = -3*s + s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 15 = 0, 0*a + 10 = 2*a - 4*o. What is the greatest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1052097, -2104229, -3156361, -4208493, -5260625, -6312757?\n\"Answer: -1052132*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1. Let w(h) = -h + 1. Let p(f) = f**3 - 9*f**2 + 8*f + 10. Let g be p(8). Let k = 6 - g. Let t = -5 - k. Give t*w(j) + 2*l(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10122 is divided by 1209.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 - 501*u**3 - 183401*u**2\/2.\nAnswer: -u**2*(u + 241)*(u + 761)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51398*r**2 + 49955 with respect to r.\nAnswer: 102796*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 - -133. Suppose -3*h + 2*f = -0*h + 1, -5*h = -f + p. Let k be (-85)\/(-175) - (-2)\/(-7). Is k >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1661, -2, 73.\nAnswer: -1661, -2, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 30. Let z be 3*2\/r*2. Let f = 1 + -0.8. What is the closest to z in 0.1, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 12867*n\/2 - 3217 = 0 for n.\nAnswer: -1\/2, 6434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-376)\/(-56) + -7 + (-26)\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3.1, -2\/7, -1\/3.\nAnswer: -3.1, -2, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*y + 45 = 5*q, 3*q - 35 = 4*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 1. Let h = 7 + -12. Let x(f) = f**2 + 5*f + 6. What is the smallest common multiple of x(h) and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57\/20? (a) -4\/5 (b) 5 (c) -3 (d) 1\/2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l + 18*l**2 - 39*l**2 + 22*l**2 in the form f*l + d + c*l**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 8. Sort 2, -3, c in descending order.\nAnswer: c, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10109.2 + 10129.1982. Let k = 2.1 + -22.1. Let h = k + n. Round h to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 2. Let n be ((-7707)\/(-273) + -28)\/((-3)\/2). Which is the fourth smallest value? (a) -2\/11 (b) n (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0871, -3\/7, 541?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22112011 + 11?\nAnswer: -22112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 + 4.69962. Round a to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)*c**(3\/2))\/(((c*c**21)\/c)\/(c*c\/(c*c**(-23))*c)))**50 assuming c is positive.\nAnswer: c**255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-5) - 978\/(-30). Let f = r + -13. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6907 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2062542, 2062540, 2062538, 2062536, 2062534?\n\"Answer: -2*w + 2062544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/11 + 150848*h**2\/11 - 150842*h\/11 - 301692\/11 = 0. Calculate h.\nAnswer: -1, 2, 75423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = -105. Let y be (-102)\/p - (-4)\/(-6). Find the third derivative of -10*l**2 - 1143*l + 1143*l + 13*l**y wrt l.\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-18) - (0 - (-18)\/(-22)). Which is the fourth smallest value? (a) r (b) -0.4 (c) 0.4 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/((-93)\/(-155)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 55 = 7*k. Let y(w) = 2*w**3 - 11*w**2 + 3*w + 15. Is y(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11004.804 rounded to the nearest 10?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73072.4 - -73072. Let p = 2 - -3. What is the second smallest value in p, 1, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frviimmmfvfrmmirfmir. What is prob of sequence rr?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*l = 22, -3*l = -l - 4. Let r = 5 + -3. Sort r, n, -5\/3.\nAnswer: n, -5\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 19. Suppose -2*l + 304 = 5*v, -5*v = -3*l + 182 + 274. Suppose 0*b = -o*b + l. What is the remainder when 53 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.5 - 35. Sort h, -5, 0, 2 in ascending order.\nAnswer: -5, 0, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1743 and 1169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 4*l**2 + 20*l + 11. Let q(b) = 6*b**3 - 11*b**2 - 61*b - 31. Give -11*o(n) - 4*q(n).\nAnswer: -2*n**3 + 24*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -175?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v - 10*v + 18*v. Let l(w) be the third derivative of -w**5\/60 - 4*w**2. What is d(l(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3, -13 in ascending order.\nAnswer: -13, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12998638, -12998639, -12998640, -12998641, -12998642?\nAnswer: -12998643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.43 - 0.43. What is the second smallest value in j, -1\/2, 3\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -20.07. Let s = -0.23 + i. Which is the closest to 2\/5? (a) -2 (b) s (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -27*k. Let a(h) = -4946*h**2 - 25. Determine d(a(g)).\nAnswer: 133542*g**2 + 675","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 2921849533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-2268)\/(-4137)) - -33.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 691*u**7\/70 + u**5\/60 - 11*u**4\/6 - 3*u**3\/2 - 4146*u**2. What is the second derivative of j(g) wrt g?\nAnswer: 24876*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.1343.\nAnswer: 0.02686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 3 - 3)*(-2 + 2 + 2*n)*(2*n**2 - 3*n**2 + 3*n**2)*(-6 - 2 + 3).\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26103 - 10180163\/390. Let u(l) be the third derivative of 4*l**2 + 0 + 0*l - o*l**5 - 2\/39*l**3 + 3\/52*l**4. Let u(n) = 0. Calculate n.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1103 - 1123.28. Let j = h + 21.2. What is j rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173971\/3 < -57989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 7.21.\nAnswer: 6.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 252634224 (base 7) to base 8\nAnswer: 75002524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2525, 2605, 2745, 2951, 3229?\nAnswer: 3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 376 = -5*g - 136, -2*g - 4*n + 72 = 0. Let l = g + -39. Suppose x - 219 = l*v, -2*x + 413 = -0*x - 5*v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t + 138. Let g(j) = -2*j + 23. Let s(a) = -6*g(a) + l(a). Let d(p) = p**2. Determine -6*d(c) - 5*s(c).\nAnswer: -6*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4171562.01 minutes in weeks?\nAnswer: 413.8454375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -15*q - 1. Let s be g(2). Suppose 110 = -5*a + 3*a. Let h = s - a. Calculate the smallest common multiple of h and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + x + 0*x)*(0 - 3 - 2) - 4*x - 2*x + 3*x + 6*x + 3*x - 5*x in the form r*x + s and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/60 + k**4\/24 - 3*k**3\/2 - 3*k**2. Let l(z) = -z**2 - 4*z. Let v be l(-4). Calculate y(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.4 (b) 0.2 (c) -2\/199 (d) 42.36 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -108 (c) -0.5 (d) 29 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 19*v**2 + 38*v - 31. Let d be z(17). Suppose 0 = -d*a - 21 + 206. Suppose 17 = w + 2. What is the greatest common factor of a and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 10\/5)*-22. Let u = i + 47. Suppose 2*h = -0*h + 10. What is the remainder when h is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*g**3 - 372*g**2 + 660*g - 316.\nAnswer: 4*(g - 1)**2*(7*g - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8811, -9058, -9291, -9504, -9691, -9846, -9963?\nAnswer: -10036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by -5?\nAnswer: -103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31556 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5) - -4*(-6)\/(-120). Let l(h) be the third derivative of -1\/6*h**4 + 0*h**3 + 0 + 0*h**6 + 1\/105*h**7 + 12*h**2 + x*h - 1\/10*h**5. Factor l(t).\nAnswer: 2*t*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 103*q**2 - 15*q + 2. What is the remainder when r(2) is divided by 91?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:49 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from iyiyyyyyyyyiiy?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 6, 9 = 2*p - 5*j - 16. Solve -4*a = -p*l - 7, -3*a + 10 = l - 0*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(325) - (sqrt(325) - (sqrt(325) + sqrt(325) + 4 + sqrt(325) + sqrt(325) + 5) - sqrt(325))))**2.\nAnswer: 450*sqrt(13) + 8206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w + 143 - 51 = 0. Let x = -3 - -8. What is z in 4*z**3 - 6 - 2\/3*z**x - 20\/3*z**2 + w*z**4 - 14*z = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 4*u + 840.\nAnswer: -4*(u - 15)*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/378)\/(-3 + (-140)\/(-45))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1971 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29b60 - 43?\nAnswer: -29ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3319245 and 837027?\nAnswer: 96258105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u - 6 = 4*a, -4*a - 24 = 4*u. Let t = -7 - u. Let j(i) = 5*i**2 + 3*i - 2. Let q(b) = b**2. Let g(s) = t*j(s) + 6*q(s). What is d in g(d) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -325 - -1945\/6. Find the common denominator of 2 + (-72)\/(-63) + -2 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -310*q**4 + 1045*q**3 + 20*q + 611213580?\nAnswer: -1240*q**3 + 3135*q**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 3:03 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6974 divided by -78362.\nAnswer: 3487\/39181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 - -269. Suppose -4*d = 207 - n. Calculate the remainder when d is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 38. Let j be l(-14). Suppose -2*x - 8 = -z, -5*z + x - j*x + 53 = 0. What is the remainder when 34 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 7. Suppose -6 = 3*w + 42. Let p = w + 18. What is the closest to 0.1 in -3, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:33 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -47*v**2. Let a(r) = -23*r + 1. Give a(d(p)).\nAnswer: 1081*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518662 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(704) + (sqrt(704) + 1)*-4)*6 + 0)**2.\nAnswer: -3456*sqrt(11) + 228240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 3)\/(0 - 1). What is the tens digit of (q + -2 + (4 - 1))*31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66872.\nAnswer: 2, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22094, -4, 2, 64 in decreasing order.\nAnswer: 22094, 64, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 217*b - 223*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*6240\/192.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 754*v. Let j(c) = -165124*c. What is p(j(t))?\nAnswer: -124503496*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-30)\/k*k*k\/((((k*k**(8\/3))\/k)\/k)\/k))**(4\/25) assuming k is positive.\nAnswer: k**(-356\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/(-15) - (20\/(-170) - (-159)\/51). What is the fourth smallest value in -0.4, -0.27, x, 0.1, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 49. Suppose -4*i + 1 = -h - 2, -3*i - a = 4*h. Solve b + 0*b = i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 33. Let b(u) = -9*u + 64. Let y(t) = -6*b(t) - 13*q(t). Let j be y(15). Calculate the greatest common factor of 50 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + (-32)\/6*3. Let l(x) = -x**3 - 6*x**2 + 5*x. What is l(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4603350 to the nearest ten thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 11*h**2 + 4*h - 6. What is i(-6)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6641*x**2 + x - 18. Let l be p(-6). What is l rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w**3 - 31970*w**2 - 27*w**3 + 5*w + 56*w**3 + 31970*w**2.\nAnswer: 60*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 1. Let v = 1 + 3. Suppose -2*d + 7*d - 4*s = 65, v*d - 3*s - 51 = 0. What is the units digit of g(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437171352.\nAnswer: 2, 3, 18215473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n + 142*n - 37*n.\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 15239.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(7*b - b + 0*b)*(24*b - 23*b + 16*b).\nAnswer: 102*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 18 = 0. Let z be 1*3\/c*38. Suppose -4*v + 0 = -m - z, 4*m + 2*v = 14. Solve -3*p + 16 = m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.06*27.18\nAnswer: 28.8108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*i - 9 = -i, 2 = -f + 3*i. Let g be (-32 + 2 + f)*-1. Suppose -32*l + g*l + 393 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32345 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.052868483 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 102.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from ojjyryrjij.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158661 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 13277*x + 1314416. Calculate j(-99).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 = 12. Suppose -5*l - 2*z = 0, -4*l = -l + b*z + 19. Suppose 5*x + 5*k = l*x + 118, -3*k = 3. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 594 + -594. Which is bigger: 1\/5088 or j?\nAnswer: 1\/5088","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.087 (b) 2.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 2*r**2 + 11*r - 6. Let x be v(14). Suppose 3*k + x = 13*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -955 + -3?\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -4, -25?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1896*m + 1 - 2527*m - 1 in the form g + h*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*q - 103, -2*q = -0*a - 2*a + 198. Suppose 0 = 2*w + 3*k - 61, -3*w + 3*k + 94 = 5*k. Calculate the remainder when a is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 + 34302*u**2 - 147095550*u + 147061250 = 0. Calculate u.\nAnswer: 1, 8575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254468 is divided by 127233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -910065 minus -4?\nAnswer: -910061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**3 + 18*n**2 - 15*n - 3. Let l(d) = 5*d**3 + 8*d**2 - 7*d - 1. Let k(v) = -4*c(v) + 9*l(v). Let r be 2\/8 + (-2)\/((-32)\/28). What is k(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114315237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.831 - 4.169. What is the third smallest value in s, -0.1, -11\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-35 - (19 - 26)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(-92 + 12690\/138)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/2 - 51807*s**2 + 893825595*s\/2 + 7163873496.\nAnswer: 3*(s - 17277)**2*(s + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.3, -6.4, 15, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601480318.\nAnswer: 2, 300740159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*m = 71, 3*m - 2*m = 5*o - 212. Does 43 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 632199?\nAnswer: -8\/632199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 10 (c) 2\/15 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8, 5*h - 2*v = h + 24. Find the second derivative of m**2 + 10*m - 7*m**4 - m**2 - h*m wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -25962 + 8732. Let p = q + -2346. Let r = p + -615. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3801901?\nAnswer: 59, 64439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v**2 - 4*v + 5*v + 4 - 4 as x + j*v**2 + t*v and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2340 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p - 13. Let l be t(4). Suppose -2*y = 4*u - 60, 3*y = 2*u + l*y - 30. Let w = 2 + -2. Solve w = 5*f - 0*f + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512*s + 493*s = -1045. What is the remainder when 228 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m**3)**(-16)*m**(-2\/9)*m*m\/(m\/(m**(-6)\/m))*m*m**6*m**(1\/4) assuming m is positive.\nAnswer: m**(4645\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -702.9 + 703. What is the nearest to i in -0.2, 1\/6, 9, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 1657059*x - 2982690.\nAnswer: -(x + 331410)*(5*x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 4:51 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Suppose 4*q - 16 + 0 = 0. Find the third derivative of -47*t + 47*t - q*t**6 + m*t**2 wrt t.\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*y + 424. Suppose -5*q - 5 = 0, 0*g - 3*g = -q - 184. Let t = y - g. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15063 - -3?\nAnswer: 15066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 6.9.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, c: 1, h: 3, q: 2, j: 1}. What is prob of sequence hah?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 + 0 = 0, -a + 5 = -2*b. Solve 4*f = -a*s - 26, 5 = 5*s + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - w + 15 = w, 4*d + 3*w - 21 = 0. Let u(j) = 2*j + 28. Let f be u(-16). Let o be ((-6)\/f)\/(((-21)\/4)\/(-7)). Sort d, -3, o in decreasing order.\nAnswer: d, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 g when three letters picked without replacement from {g: 1, t: 16, a: 3}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017622895069 to 6 dps.\nAnswer: 0.001762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*t - 4*l - 848, -4*t + 2*l = 1696. Let g = -232 - t. Suppose 0*y + 4*y = g. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.12 - 33.09. Let k = 4.09 - l. Let q = 70 - k. Round q to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1352*s - 678*s - 676*s. Let x(p) = -20*p**2 + 10. Calculate k(x(o)).\nAnswer: 40*o**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**4\/4 - 25*z**2\/2 - 10*z. Let g be a(-6). Let t = 96 - g. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-18)*-2*1\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 156305*c**2*d**3*u + c**2*d*u + 64637*c**2 - 2*c*d - 3*d**3 wrt u?\nAnswer: 156305*c**2*d**3 + c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 - (-15 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775828773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-1 + sqrt(11)) + 3)*1 + ((3*(sqrt(99) - (sqrt(99)*1 - sqrt(99))) - sqrt(99))\/(sqrt(81)\/(sqrt(9)*-1 - sqrt(9))))**2.\nAnswer: -5*sqrt(11) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50499132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*c + 38*c - 9, 36 = -3*z + 4*c. Solve 45*a - 34*a - 77 = z for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*s + 97*s - 256456. Let z = -39398055\/1229 - s. Are z and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 35*v - 1. Let w(h) be the second derivative of h**5\/20 + 97*h**2\/2 - 106*h. Let a(o) be the first derivative of w(o). Determine a(g(j)).\nAnswer: 3675*j**2 - 210*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 1. Let b be m(-1). Let n(a) = 0*a**3 + 6*a**b + 0*a**3. Let j be n(1). Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 30402?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 153.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 646 and 1123147?\nAnswer: 38186998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, 0.1654, 5 in decreasing order.\nAnswer: 5, 0.1654, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3*(-12)\/(-27))\/((-22)\/(-4785))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.1 - 13.1. Which is the fourth biggest value? (a) -2 (b) -1 (c) w (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -173 + 182 + 0*b**2 + b**2. Let f be (-1)\/(-3) - (-26)\/(-6). What is y(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7534 divide 4303957889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272583 and 1395?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -3 (c) 161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1106452 divided by 1106452.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydd when three letters picked without replacement from {y: 7, d: 12}?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4900016 = -g - 4*b, -2*b - 19600008 = 4*g - 0*g. Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 + 2*c - 2. Let u(x) = 2*x**2 - x + 2. Let m = 13 + -9. Determine m*u(w) + 3*y(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 443410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176.1 - 4209.\nAnswer: -4385.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**2\/11 - 1301586*s + 544054284\/11.\nAnswer: 6*(s - 2386203)*(s - 38)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002413 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -302486940 times 0.3\nAnswer: -90746082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:44 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2 + 0 + 2 - f. Suppose -3*s - 2 + 8 = 0. What is the units digit of w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 309 = -6*f. Suppose 673 = 5*n + f. Suppose -3*v + 207 = 4*t - 0*t, -2*v + n = -2*t. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8339 - 8324. Let k(f) = -7*f + 4. Let p be k(-3). Calculate the greatest common divisor of p and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-18)\/(-162))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, a: 4}. What is prob of sequence aaaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 1:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -28*x + 40. Does 30 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21834, 43666, 65498?\n\"Answer: 21832*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 106 - 1 = -5*y, 0 = -5*y - 5*n + 115. Let f = y - 14. Solve 2*p + f = -5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 12:59 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*s = 2*n - 2, 2*n - 13 = s. Solve 2*x + 3 - n = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -17, -3\/5, 34, 0.78?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4023 and 4708251?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k. Let r(n) be the first derivative of -n**2\/2 - 39. Let b be 15\/(-4) - (-2)\/(-8). Let a(d) = b*g(d) + 7*r(d). Let h(u) = 6*u. What is h(a(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x + 1. Suppose n - 37 = 5*n + 5*d, 2*n + 4*d = -26. Determine p(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/1)\/(-1 + 2). Let r = 9 - y. Let w be (2 - 41\/7) + r. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.35 - -2.966. What is r rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75453.\nAnswer: 3, 7, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516, -854, -1198, -1554, -1928, -2326?\nAnswer: -2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 2*a + 4*a + (0 - 3 + 4)*(8*a - 22*a - a) + (17 - 25*a - 17)*(1 - 1 + 2) as m + f*a and give f.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220766 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.8 (c) -5\/6 (d) -2 (e) 1.8 (f) 19 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -59070 rounded to the nearest 1000?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 8*p - 5*p)*((-4 + 0 + 5)*(0 - 1 + 3) + 1 + 2 - 1)*(-1 + 8 - 1).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 4, -3 in descending order.\nAnswer: 4, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 8:01 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(234\/(-1287))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 11*n**2 - 28*n + 24. Determine g(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 221317959953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632 by -3.\nAnswer: 632\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9198.33 rounded to the nearest 100?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)*h*h**(5\/2) assuming h is positive.\nAnswer: h**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 divided by 191.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 11*u - 16. Let s be g(12). Let n be s\/10 + (-2)\/(-2). Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -10*s**5 + 27285*s**4 - 18645825*s**3 + 46403335*s**2 + 27866535*s = 0.\nAnswer: -1\/2, 0, 3, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5669 = -374*b + 3225 + 2700. Calculate the highest common factor of 21607 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 24*z**2 + 20*z + 991. Let t be p(-23). Let l(c) be the first derivative of 3\/25*c**5 + 9\/20*c**4 + 0*c + 0*c**3 + 0*c**t - 32. Factor l(i).\nAnswer: 3*i**3*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 11*b + 292. Let h = b + -69. What is the greatest common factor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 10*l. What is w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*y**3 - 2*y + 33*y**3 - 201 + 32*y**3 + 28*y**3 + 29*y**3 to s*y**2 + b + c*y**3 + n*y and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Does 6 divide (72\/42)\/(v\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1996645\/776 - 2573. Let f be -2 + (0 - (-36490)\/(-4656)). Let k = b - f. What is the common denominator of 73\/16 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(3 + 1 - 9). Suppose -3*k + i + 4 = 0, 3*k - 8*k = i - a. Solve 0 = 3*j - k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i - 613. Let o be l(0). Let d = -362 - o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from rcrzqzzqzqc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 + 3*b + 3. Determine s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 = p - 236, 4*t - 4*p - 308 = 0. Let v = t - 76. Suppose -4*c - 12 = 0, -v*x - 5*c = -3*c - 134. Is 28 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-3)**2 - (sqrt(18)\/sqrt(6) + -5)**2.\nAnswer: 10*sqrt(3) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72412 + -72262. What is the least common multiple of v and (-2*1 + 3)*40?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(1*sqrt(1836) - sqrt(459)\/sqrt(81))\/(1*sqrt(192)*5))**2.\nAnswer: 4913\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(1\/5))\/a*a*a)\/a)**5*(a**(-2\/3)\/a)**(-43))**(2\/39) assuming a is positive.\nAnswer: a**(466\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38786 and 23779344.\nAnswer: 261572784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 326086658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, p: 1, i: 3}. Give prob of sequence bi.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 4}. What is prob of sequence nzzn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 6*a**2 + a - 1. Let b be w(6). Suppose -j + b*s = -37, -2*s + 3 = s. Let n = j + 7. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 770*d**4 + 7218762*d**3 + 16922666610*d**2 + 17179064246*d + 263615628 = 0?\nAnswer: -4687, -1, -6\/385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -83937?\nAnswer: -1\/83937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11035, 18525, 26015, 33505?\nAnswer: 40995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:37 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 103*n + 53 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -7. Suppose -i - 8 = -3*t. Is (-117)\/6*t\/(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utu. What is prob of sequence ut?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + x - 2751, 4*x + 1774 + 972 = b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 397320 divided by 4515\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1415)\/566)\/(1\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, 5, 7, 1.\nAnswer: 0, 1, 5, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1698517580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 4*x**2 - 3*x - 3. Let q = -143 - -148. Calculate f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 2*r - 3*r)*(-11*r - 22*r + 92*r) + (3*r - r - r)*(-r - r + 4*r) as u*r + a*r**2 + q and give a.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -23*i**3 + 2*i + 1. Let o(f) = 22*f**3 - 2*f. Determine 3*j(q) + 4*o(q).\nAnswer: 19*q**3 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1560 and 8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 12. Suppose -5*n + 7 = 2*j + 42, 0 = -2*n - 2. Let r = 18 + j. Solve 0*f - 3*w = 4*f + 16, -r*w - x = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 - -359. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 + -6.1. Is 1\/1034 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -18. Suppose -3*r = -p*r - 2*a + 24, -11 = -3*r - 5*a. Let z(g) = 11*g + 4. Let i be z(r). Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -6113?\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -197, -23620, -47043, -70466, -93889, -117312?\n\"Answer: -23423*x + 23226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6474341342.\nAnswer: 2, 7, 137, 3375569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2*k)*(0*k**2 - 2*k**2 + k**2) - k**3 + 2*k**3 - 2*k**3 + k**3 - 9*k**3 + 2*k**3)*(-1 - 3 + 12).\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82524 = 6380*p - 90596 + 98904 + 94188 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/24 and 65\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -17. Suppose c*s - 6 = b, 2*s = 8*b - 3*b + 12. Calculate the highest common divisor of 4 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 0*z - 4*z)*(-1 + 0 + 3)*(2*z + 2*z + 5*z).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 14084847.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1638*z**3 + 11748 with respect to z.\nAnswer: -4914*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32140 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106157158?\nAnswer: 2, 53078579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 255048.3 and -0.2.\nAnswer: -51009.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 2 - (-6 + (-6)\/(-3)). What is the tens digit of (-2)\/(2\/9*u\/55)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/(34\/(-68))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 + 60*v**2 + 213*v + 3. What is a(23)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**5 + 303316*v**3 + 15*v**2 - 61836890*v.\nAnswer: 40*v**3 + 1819896*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 8:56 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -153091896634\nAnswer: 153091896633.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = -1285 + 1329. Sort 5, 2, z, -4 in descending order.\nAnswer: 5, z, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:02 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3416 and 3843?\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -106*h**2 - 8*h - 20. Let p(j) = 107*j**2 + 10*j + 21. Let v(t) = -3*p(t) - 4*z(t). Find the second derivative of v(f) wrt f.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750*-145391.\nAnswer: 109043250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, r: 5, n: 1}. What is prob of sequence roro?\nAnswer: 55\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 19*s**4\/6 - 13*s**3\/6 + 65*s**2. Find the first derivative of a(b) wrt b.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 61 = -6*x. Suppose -m = -2*q + x*q - 124, -4*m + 4*q = -448. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 - 178*k**3 + 1552*k**2 = 0.\nAnswer: -97, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -368 + -206?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 - 652*w**3 - 129288*w**2 - 4699600*w - 8887328 = 0. Calculate w.\nAnswer: -62, -2, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 3. Let q be s(3). Let m(j) = j**3 + j**2 + 1. Let z be m(q). Let c be ((-4)\/(-6))\/((-4)\/(-3)). What is the third biggest value in c, 2, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(500))\/(5*sqrt(160)) + ((-1*sqrt(2) - sqrt(2)) + -1 - (sqrt(250)\/sqrt(5) + sqrt(2))))**2.\nAnswer: 17*sqrt(2) + 291\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 130, 94, 34, -56?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 93. Which is the nearest to -1? (a) 4 (b) u (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - p = 153, 171 = 5*j + p - 201. Calculate the remainder when j is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 4*j + j + (0 - 3 + 1)*(j + 0*j + j) - 3*j - j + j + 7*j + 3*j - 12*j to v + h*j and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 2*s + 13. Let f be b(4). What is the units digit of (-2)\/f - 3670\/(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = -3*m + 3, 2 = -2*m + 4*w. Suppose m*k = k + 254. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -384952079*g**2 + 738140845*g wrt g?\nAnswer: -769904158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(0*o + 0 - o - 1)*(-3*o**3 - 3*o**3 - 8*o**3) to u*o**4 + w*o + h + a*o**2 + z*o**3 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5, -5, 61.1, -1\/4, 34 in descending order.\nAnswer: 61.1, 34, 5, 2\/9, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -1dd?\nAnswer: 1de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 equal to -5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 + 5. Suppose a - 2*y - 9 = 4*a, -5*a = 5*y + 20. Put -5, n, a in decreasing order.\nAnswer: n, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3308279 - 4?\nAnswer: -3308283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:17 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(44\/(-4)))\/((-5)\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -22629628*v**4 + 6364920*v**3 + 28656*v**2 + 32*v = 0.\nAnswer: -2\/899, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-5*(-18)\/(-45)). Solve 4*a - 24 = v, f*v + 36 = -4*v + 4*a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11703 is divided by 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72930391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/35 + (-85)\/(-75)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948163341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-38)*-12)\/((-18)\/6).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7 - 7 + 3 + m. Let f(t) = -t**3 - 9*t**2 + 10*t + 7. Let r be f(-10). Let q be p(r). Is q <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**(2\/3)\/v))*v)**(-4\/9)*v**(-3)\/(v*v\/(v**2*v)) assuming v is positive.\nAnswer: v**(-50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2170)\/(-682) + (-2 - 1). What is the smallest value in -5\/2, r, 6.9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38154c (base 13) in base 12?\nAnswer: -54a769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v*v*v**0)\/(v*v\/((v*v**0)\/v))**(-8) assuming v is positive.\nAnswer: v**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 167\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c - 133. Let z be o(16). Suppose -3*x + 3*u = -x - 2, 3*u + 8 = -x. Let j = 0 - x. Put j, z, 5 in descending order.\nAnswer: 5, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -1) + 6 - (2 - 20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122747 + 13?\nAnswer: -122734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(-3 - m + 3)*(3*m**2 - m**2 + m**2) to the form f*m**3 + o*m + j*m**2 + a and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-4))\/(((-129)\/234)\/43). Suppose y*a = 267*a + 1914. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (2 + -6*((4*(sqrt(3) + -1*sqrt(3)) - sqrt(3)) + (sqrt(18)\/sqrt(3))\/sqrt(2))*6)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-9 - (-9 + 6)) - (-2 - -16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1152)\/128 + ((-20)\/32 - -10)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271685?\nAnswer: 5, 13, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62055 - -15?\nAnswer: -62040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3114028, 3114016, 3114004?\n\"Answer: -12*a + 3114040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -126. List the prime factors of s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420 (base 5) to base 13.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*t + 141 + 143 - 282)*(2 + 5 - 4).\nAnswer: -489*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkjkakjkkkkuujk. What is prob of sequence kuu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - 12*s**2 + 3*s**3 + 9*s**2 + (0 + 0 + 2*s)*(-3*s**2 + 0*s**2 + 2*s**2).\nAnswer: s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d - 6. Let o be r(5). Let c be (-70)\/(-25) - (-3)\/15. What is the greatest common divisor of c and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55494?\nAnswer: 2, 3, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 1. Let j be x(-1). Let p be (-70)\/(-15) - j\/6. Suppose 4*f + 4*g - 9 - 23 = 0, 2*f - p*g - 23 = 0. Solve 0*a - 3*a - f = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 178, 253, 412, 685, 1102?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1591.269t to kilograms.\nAnswer: 1591269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 90. Let w(s) = 3*s + 31. Let k(x) = 2*i(x) - 7*w(x). Give k(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/8*8\/1. Let p be -2 + 5 + 2 + (-3 - h). Suppose -2 - p = -2*c. Calculate the least common multiple of c and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -662 + 663. What is the second derivative of 55*l - 1265*l**3 - s - 3*l**4 + 1318*l**3 - 3*l wrt l?\nAnswer: -36*l**2 + 318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(85)\/sqrt(5))*-4 - (-5 + -1 + sqrt(17)).\nAnswer: -9*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a = -50*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.132441 + -0.1318. Round z to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1869, 3483, 5097, 6711, 8325?\n\"Answer: 1614*r + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -226. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -4*c + z, -2*z - 3 = c. Suppose 5*a - 5*n = 20, 2*n = -0*a + c*a - 14. Sort 5, 1, a.\nAnswer: 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*h - 10 = b, -2*b - 4*h - 22 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2*r*r**(-8))\/(r*r*(r\/r**2*r*r*r*r)\/r)**(3\/22))\/(((r\/(r*r**(-6)))\/(r\/(r\/(r**(6\/11)*r))))\/(r\/(r*r**(1\/3)))**(-21\/5)) assuming r is positive.\nAnswer: r**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, r: 2, o: 1, v: 6}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*s - 3*x, 5 = -3*x + 2. Let v(w) = w - 162 - s*w + 162. Let k(i) = 3*i. Calculate k(v(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-8 + 7) - 8) + 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.50175 + 20.53. Round m to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7*m = -3*k - 3, -3*m - 4*k - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/3825*20)\/((-6)\/9)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 1, -6, -9, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -11.73556?\nAnswer: -70.41336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/2 + k**2\/2 + 1. Let d(g) = -3*g**3 + 2*g. Let w(t) = 5*d(t) - 6*m(t). What is the second derivative of w(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -4 + 40\/5. Let u = o + -6. Solve -4*f + u*f - 16 = n, 4*n + 3*f = -25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.96 - 0.04. Let c = 12 + z. Put -0.1, c, -1\/4 in decreasing order.\nAnswer: c, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25113 + 299*v**2 + 25113.\nAnswer: 299*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -595\/12. Let t = w - -9\/4. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s**3 + 19*s**2 + 33*s - 2. What is f(-2)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8464662 or -8464659?\nAnswer: -8464662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -157 + (146 - (-74 - -93)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 - 1128*b + 8092 = 0.\nAnswer: -289, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from uwwu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1812.5 - 1779.5. Which is the closest to 3\/2? (a) s (b) -3\/7 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 33 (b) 6 (c) 15 (d) -1\/2 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 + 2)*(1 + 1 + 1)*(-4*r**3 - r**4 + 8*r**3 - 2*r**4) in the form c*r + w*r**4 + z*r**2 + i + m*r**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 41*n + 21. Let v(d) = -14*d - 8. Let r(j) = 4*m(j) + 11*v(j). Let c(t) = -14*t**2. Calculate c(r(l)).\nAnswer: -1400*l**2 + 1120*l - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -265 + 190. Let z = t + 77. Find k, given that -4 - 1\/4*k**z - 2*k = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40031?\nAnswer: 40031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) - 185\/(-35). Let i(n) = -n - 12. Let p be i(0). Let t = -8 - p. Solve r = t*z + 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168633838*g**3 - 140196*g**2 - 2*g + 141?\nAnswer: 1011803028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {u: 3, c: 11, j: 1, z: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1543 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37913912.\nAnswer: 2, 4739239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 2. Let f be s(4). Let c = 3 - 6. Suppose -3*u - 7 + 10 = 0. Put u, f, c in descending order.\nAnswer: f, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h, -c - 5*h + 15 + 95 = 0. Calculate the greatest common divisor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1318, -5262, -11834, -21034, -32862?\n\"Answer: -1314*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4398 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 6 (c) -0.5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 862268 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3819*s + 1268*s + 1270*s + 1272*s. Let w(t) be the third derivative of t**5\/30 + 18*t**2. Calculate u(w(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:57 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 26*g + 409. What is j(-15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l. Solve 3*w + 9 = 0, l = -3*p + 4*w + 1 + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3.5. Let j = -2.7 - r. What is the biggest value in -2, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 919*c - 292. Let d be b(20). Let y = d + -12119. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-3 - 1) + 1 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157087 is divided by 1689.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 b when four letters picked without replacement from lojzblz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 6 = 0. Let k be (((-330)\/8)\/1)\/(i\/24). Is 34*(-1 + k\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1900) + ((sqrt(1900)*2)**2 - sqrt(1900))*6.\nAnswer: -50*sqrt(19) + 45601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/43 + 100\/301. What is the closest to z in 0.4, -1\/6, -32, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125.6 + 101. Let h = 24.6287 + m. What is h rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -13.1. Sort j, 2\/9, -2\/7 in decreasing order.\nAnswer: j, 2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 17. Suppose 0*b = b - z. 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: What is the third derivative of -42*c**5*r**2 + c**3*r**2 - 19*c**3 - 40*c**2 + 7*c*r**2 + 2*r**2 wrt c?\nAnswer: -2520*c**2*r**2 + 6*r**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let k be q(1). Suppose b - k = 0, -76 = -3*d - 2*d - 3*b. Calculate the highest common factor of 112 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a milligram in micrograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/((-1)\/(-2)). Let c(q) = 3*q**3 + q**3 - 1102*q + 2210*q - 1109*q. Determine c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6*g - 9. Let f be (30\/(-9))\/(0\/3 - -2). Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f + 2*f + (-13 + 8 + 6)*(-9*f + f + 2 + 0*f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4814426483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 226*j - 54*j + 32*j + (-1 - 2 + 4)*(-j - 1 + 2*j - 2*j) - 14*j - 8*j + 3*j in the form z + p*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 709810787 to the power of 1\/3, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5 and 23\/7159.\nAnswer: 35795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 22*k**2 - 18*k - 6. Let h be a(-8). Solve -2*j - 4*s = -9*s + h, 0 = -3*j + 4*s - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9158?\nAnswer: 2, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 + 33*w**3 + 93*w**2 + 63*w = 0. Calculate w.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -247, 0, 9, -6, -1, -15 in increasing order.\nAnswer: -247, -15, -6, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.614116 times -5\nAnswer: 3.07058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-5) - ((-10)\/150)\/((-1)\/(-6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*336\/(-210).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -279 + 285. Solve -c = -5*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 1 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -580 divided by -1\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0 - 4 + 10*n + 0 + 6. Does 14 divide d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.93 - -0.13. Let h = -1.7999915 - w. What is h rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.096 - 6.844. Let m = -0.34 - b. Let k = m + -2.6. Is k bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7760541 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10779791 is divided by 2155943?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3585*u + 1817*u + 1771*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*y + 256*y - 532*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(0\/2)\/(7 + -8). Suppose 4*d + 0*y - 21 = -3*y, 3 = 4*d - 3*y. Let 3*j**4 - 2*j**4 - 8*j**d + 3*j**4 + 4*j**2 + g*j**2 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -318*i**3 - 679*i**2 + 15*i + 5. Let u(n) = 160*n**3 + 340*n**2 - 6*n - 2. Let h(c) = 2*b(c) + 5*u(c). Find the third derivative of h(l) wrt l.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -74*o**2 - 5702*o - 2. What is r(-77)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*o + 6*q - 3*q, -3*q = -2*o + 15. Solve -5*k + t = -o, k + 6*t - t - 11 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 25, 35, 43, 49, 53, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 55.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3694 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -4242.\nAnswer: -1696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 26*z + 292. Put z, 8, 15, 4 in increasing order.\nAnswer: z, 4, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/13))**(-18)*l\/(l*(l*l**0*l)\/l)*(l*l*l*l**(-1\/2)*l)\/l)**(-1\/27) assuming l is positive.\nAnswer: l**(-25\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 390851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.5, -4, 0.02, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3736 - -0.6264. What is the closest to -11\/4 in 1\/2, 1\/3, k, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*8\/3. Let o(m) = m - 7*m - 7 + 3*m**2 - 2*m**2. Is 22 a factor of o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 9 - (-16 + (-15 + 24 - 2))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 12. Suppose r - 27 = 5*g, -5*r - g + 127 = -34. What is the least common multiple of r\/48*30\/4 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202139596.\nAnswer: 2, 50534899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 4*j + 2*j)*(-6 + 5 + 5) + (4*j + 0*j - 8*j)*(-2 - 2 + 6) in the form v + k*j and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 29922166\nAnswer: 1\/14961083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13835337 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, o: 2}. Give prob of sequence ob.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**7\/42 + 7*q**6\/90 + q**5\/12 + q**4\/36 - 2*q - 6. Factor k(j).\nAnswer: j**2*(j + 1)**2*(3*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 944 + -374. Let y = 568 - j. Which is the closest to -0.1? (a) 3\/4 (b) -7\/5 (c) 0 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0566 * 66.\nAnswer: -3.7356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 - 4*i + 3. Suppose 3*f + 29 - 14 = 0. Let v be w(f). Suppose v = 11*y - 373. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and ((-2)\/3)\/((-3)\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(240\/(-18)))\/((-15)\/10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(132)\/sqrt(4))\/(2*sqrt(44)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:16 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*d - 1 + 38*d**2 - 16*d**2 + 315*d + 18*d**2 - 46*d - 34*d**3 wrt d?\nAnswer: -204*d + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305 and 7895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.97 minus -297911008753?\nAnswer: 297911008747.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q + 13 - 13)*(58 - 38*q - 58 + q - 5*q + q + (5 - 3 - 3)*(-q + 3*q - 4*q)).\nAnswer: -351*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 45 = 0. Let o = r - 3. Let h be 15*(2 + (-10)\/o). What is the nearest to -1 in -3\/5, h, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046269 rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 54. Let k = -31.7 - -31.4. Which is the fourth smallest value? (a) 2\/3 (b) -2 (c) t (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -7. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 8*z**2 + 8*z + 5. Determine l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**3 - 1. Let p be g(1). Let i(b) = -18*b + 6. Let h(n) = -13*n + 6. Let v(d) = 4*h(d) - 3*i(d). Give v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 648\/66 + -10 + 129\/528\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*q + 14, -4*q + 4*r = 14 - 6. Suppose -h - q*u - 7 = 0, 3*h + 14 = 3*u - 7. Let c = -6 + 3. What is the third biggest value in 5, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 512033424*m**3 - 21848185607763648*m**2 + 310750035692520601893632*m.\nAnswer: -4*m*(m - 42669452)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4540 and -119\/40860.\nAnswer: 40860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, -24, -76, -144, -228?\n\"Answer: -8*x**2 - 12*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 411*w**2 + 22*w + 234. Let x(g) = 137*g**2 + g - 18 + 96 + 7*g. Let r(y) = 4*d(y) - 11*x(y). What is the first derivative of r(v) wrt v?\nAnswer: 274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 15 + (3 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14 - 12*n**2 + 60 - 34*n - 12. Let g(q) = q**2 + 3*q - 3. Let l be (-3)\/((-15)\/(-10) - 2). What is l*c(h) + 68*g(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 + -5.5. Let k = 15 + t. Round k to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:53 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4.8. Which is the smallest value? (a) -0.3 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(-1*sqrt(272) - sqrt(272)) - ((-3*sqrt(272)*-3 - sqrt(272)) + 5).\nAnswer: -5 + 208*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 8487382 and 8487365 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-13)\/(-26))\/((-1)\/(-74) + 0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t. Suppose -f + 2*a + 22 = t, -2*f + 5*f - 121 = -5*a. Suppose c = -3, 0*s + 4*c = 2*s - f. What is the least common multiple of 12 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55724 is divided by 107?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 + 2*g. Let f(q) = 2*q**3 + q. Let b be 48 + (-2)\/(-5)*5. Let y = b + -33. Suppose o + 2*w - 2 = 3, -3*o - y = -2*w. Give o*s(h) + 4*f(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = 5*z. Suppose -5*q - 15 = -0*q. Suppose l = -4*o + 11, l - 5*o + 12 = 4*l. Sort z, q, l in descending order.\nAnswer: z, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1700) + -4 - sqrt(1700)*-5*5.\nAnswer: -4 + 230*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v = -3*v + 74. Suppose b = v*l, -2*b + 74*l + 25 = 75*l. Solve 3*y + 2*n - b = -y, -2*y - 4*n + 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y, n + 2*y - y - 108 = 0. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:04 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115167 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1135608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -12121.767 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001001 - 100?\nAnswer: 11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11527 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: What is the hundred millions digit of 240140458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 3*y + 5. Let h be p(-4). Suppose -3*f + 7 - h = 0. Factor 4\/9*k**f + 0 + 0*k + 2\/9*k**3.\nAnswer: 2*k**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -93*p**2 + 44*p - 169. Let v(a) = 21*a**2 - 11*a + 42. What is -2*t(d) - 9*v(d)?\nAnswer: -3*d**2 + 11*d - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 2. Let v be j(4). Suppose a = -a + v. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 + 0*v**3)*(-2*v - 2*v**2 + 2*v) + (-42*v**3 + 23*v**3 - 44*v**3)*(-376 + 33*v**2 + 376).\nAnswer: -2081*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2, 0.12, 0, -494.\nAnswer: -494, 0, 0.12, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1747.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*l. Suppose l = 6*b - 2*b. Let g be b\/(-2)*52\/(-2). Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/((-35)\/210)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 532*n + 16268. Give k(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 700502 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-11 + 17 - (-6 + 18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.13 (b) 2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0229 times -8?\nAnswer: -0.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = c - 74, 4*b = -5*c + 102 - 26. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 922 and 18888?\nAnswer: 8707368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 24*j**2 - 434*j + 4462. Determine a(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1111.7 and -61035145.\nAnswer: -61036256.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 854 - 942. Which is smaller: n or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**3*w**2 + 1388*a**3*w*z + 15*a**3*w + 426*a*w**2 + 2*a*w + 6*w**2*z - 2*w*z + z wrt w?\nAnswer: 14*a**3 + 852*a + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**3 - 507*c**2 + 2451*c - 148. Calculate o(51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 9:19 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + -4 + sqrt(153) + -2*sqrt(153))**2 - 2*((sqrt(1377) + 0)**2 - sqrt(187)\/(-2*sqrt(11)))).\nAnswer: -2600 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 23*d**3 + 13*d**3 - 64*d**3 - 17*d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Suppose 141*t = -269*t - 4920. Sort g, -4, t, 2 in increasing order.\nAnswer: t, -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3, 340, 1 in descending order.\nAnswer: 340, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.35085 to 2 dps.\nAnswer: 24.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 59 = 4*l - 11*l, -3*z + 3*l + 27 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -121?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 151686924 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*x**3 - 117*x**3 - 135*x**3)*(19*x - 8*x - x**2 - 14*x).\nAnswer: 164*x**5 + 492*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18445*v = -18446*v + 4*r, 0 = 2*v + 2*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*y - 74 - 288, -5*y - 4*a + 356 = 0. Suppose -3*j - 18 = -y. Suppose 0 = m + 2*m - j. Solve d - m*d + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxtxtxtxxxxtxxxxxxx. Give prob of picking 1 t and 3 x.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -3. Suppose 26*p = 21*p + u. Suppose p*z + 34 + 54 = 2*x, 3*z - 52 = -x. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6670644 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 + 13*r - 4. Let s be y(-7). Suppose -2*x = 2*x - s. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12431332 (base 5) to base 8\nAnswer: -362077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 47aa939?\nAnswer: -47aa936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 3\/10, 5, 0.094.\nAnswer: 0.094, 3\/10, 8\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.202\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131\/22 + 49\/11. Let k(g) = -6*g**3 - 4*g**2 + 4*g - 2. Let l be k(2). Let q = l - -63. What is the third biggest value in -5, 0.3, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130500471 - -2?\nAnswer: 130500473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513764 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -394 - -20884\/53. Let v = -16.04 - -12.04. What is the nearest to z in 1\/2, v, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 5, -1\/2, -45?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 0) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18827.\nAnswer: 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/v**(1\/6))**31 assuming v is positive.\nAnswer: v**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x. Suppose -14*r - 64 = -22. Let b(s) = -5*s**2 - 4 - 5*s + 0*s + 0*s + 3. Determine r*l(v) + b(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.8, 4\/3087383 in ascending order.\nAnswer: -0.8, 4\/3087383, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028742 to 7 decimal places.\nAnswer: 0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2436853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05124 + -0.45124. Let m = 2.003 + -2. Which is the smallest value? (a) -1\/8 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 2.34254379 to two dps.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407 - -428. Suppose 0 = -24*z + x*z + 5*y + 31, -2*z = y + 1. Solve 0 = 2*l - 2*o + z, o - 5*o + 7 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n = -4*n. Suppose 0 = i - 5, -3*m - 3*i = -n*i. Let w(j) = -j**3 - 4 - 4*j - 5*j**2 + 4*j + j. Determine w(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 4 + 4)*(-7 + 7 - 12*x)*(-2 - 3 + 6)*(-2*x + 2*x - 2*x).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110 (base 2) to base 11.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298355?\nAnswer: 5, 59671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 1. Let h(f) = 2*f - 4. Let g(l) = -h(l) - y(l). What is the units digit of g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6248, -50033, -168880, -400319, -781880?\n\"Answer: -6255*y**3 - y**2 + 3*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -9e1b449?\nAnswer: 9e1b448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405502 + 126139 = -393*n + 372*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 2. Let a be p(3). Suppose -4*n + o + 127 = 0, -76 - 109 = -5*n - 4*o. Suppose -5*v - y = y - n, 5*y + 33 = a*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:41 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/27)\/(-2) - 1. Let r = 0 - -0.2. Let m = 2 - 2. Which is the nearest to m? (a) z (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63145 and 730?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -6)\/(1\/(-10)). What is the common denominator of 3\/(1 - 9*-1) and (-331)\/u - 2\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11224294 bigger than -56121468\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247093209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 479.3856489 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 19*h**2 - 9 - 22*h**2 + 32 + 7 to t*h**2 + d + j*h and give d.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r - r + 2*r. Calculate t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001577 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/17)\/(10\/(-85))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 9*r + 12. Determine o(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v. Let c = -10 + 13. Find the first derivative of 0*y - 2*y**2 + v*y - c wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 4*y + 238, 0 = x - 4*y - 119. Is 37 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 37*o**3 - 3476*o**2 - 168*o - 1868. Calculate g(94).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -5. Suppose -j*q + 72 = -2*q. Solve -3*y + y - 8 = 2*n, 0 = 3*y - 3*n + q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 3*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*k + 2 + 524*k - 10*k**2 + 401*k - 1.\nAnswer: -10*k**2 + 1271*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 + t**4 - 4*t**4 + (-6*t - 2*t**2 + 6*t)*(-1 + 2*t**2 + 1).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*z + 4, -4*v + 4 = z. Let a(g) = -g**3 - 4*g**2 + 3*g - 7. Let c be a(-5). Solve -v*y - 10 = -4*b, 3*y + 3 - 6 = -c*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1227 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/p*p*p)**(-3\/17) assuming p is positive.\nAnswer: p**(-9\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.34184 hours to seconds.\nAnswer: 40830.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133\/385 - (203\/35 + -6)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 31*q + 80 = 0. Let f be (-1 + -3)\/(-6 + q). Which is the fourth smallest value? (a) -5 (b) 3 (c) 0.5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -1, -4, 2 in decreasing order.\nAnswer: 2, -1, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 3:20 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*d - 48*d + 168*d.\nAnswer: 198*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(5))\/(sqrt(36)\/(sqrt(300) - sqrt(12)))*-6.\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 26*s + 10*s**3 + 0*s**2 + 0 - 1\/3*s**4. What is the second derivative of n(y) wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0, -66?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -143. Suppose w - c - r = 0, w = -4*c + 81 + 43. Calculate the greatest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a year in months?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**8\/420 + 2*h**7\/105 + h**6\/18 + h**5\/15 + 3*h**3\/2 - 3*h. Let y(u) be the second derivative of b(u). Factor y(c).\nAnswer: 4*c*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) -2\/175 (c) -0.06 (d) 1 (e) -10 (f) 0 (g) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110010 - -2000000202?\nAnswer: 2000110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 8*i, 3*p = 3*i + 1263. Let d = p + -12. What are the prime factors of d?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -11, -7, 11, 49, 113, 209?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1165, -2327, -5479, -11617, -21737?\n\"Answer: -166*m**3 + m**2 - 3*m - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -550, -540, -530, -520, -510?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108660 + 54334 + 54329 + 331*q**2.\nAnswer: 331*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2af85f + -4?\nAnswer: 2af85b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and (-9)\/9 + (-6)\/(-2) + 0?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 852 - 852. Solve -5*v + 20 = y, n - 5*n + 2*v = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2414*v*y**2 + 14*y**2 + 34 wrt v?\nAnswer: 2414*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(72) + sqrt(8) + sqrt(8) + sqrt(8)) + -5)*5.\nAnswer: -25 + 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 857186 and 200618.\nAnswer: 9429046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 118*z**3 - z + 1. Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(6\/(-27)) + -2. Let z be t\/2*(-21)\/(-98). What is the smallest value in -4, z, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 + -21. Suppose h = -6*a + a + 6, 0 = 3*a - 4*h + 1. Let j be (a + 1\/(-2))*26. Calculate the greatest common divisor of j and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 6*s + 6. Let m(h) = 10*h**2 - 18*h - 18. Let y(z) = -14*i(z) - 4*m(z). What are the prime factors of y(9)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(sqrt(325) + 0)**2*-5 + 0.\nAnswer: 48750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/12*((-1008)\/49)\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/o*o**2 assuming o is positive.\nAnswer: o**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/10*(-2 + 7). Suppose -18 = 4*b + f. Is (b - -16)*17\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 5:57 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -356.301 rounded to zero decimal places?\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*h**3 + 164199*h**2 + 91272*h - 255444 = 0. Calculate h.\nAnswer: -14\/9, 1, 6082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 4*a + 1. Let g(t) = t**2 - 3*t. Let q(i) = 4*g(i) + 3*k(i). Suppose -6*x = 8*x - 3*x. Determine q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224395 (base 10) to base 5.\nAnswer: -24140040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u - 2\/5 + 4\/5*u**3 + 1\/5*u**5 + 4\/5*u**4 - 2\/5*u**2.\nAnswer: (u - 1)*(u + 1)**3*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-0.063.\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 10*w + 2. Let f be x(-10). Suppose -4*a + 2*a + 8 = 0. Solve a = -v + f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*p + 21, -3*h + 3*p + 0*p = 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/(-49))\/((-29)\/17864*44).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172527448 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31128248 less than -3.3?\nAnswer: -31128251.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000348782 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*q - 5 = 0, 2 = -3*h - 5*q + 10. What is the third derivative of 83*f**2 - 93*f**2 - h + 1 - 7*f**6 wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let o be v(-6). Let y be ((-2)\/(-4))\/(3\/o). What is the lowest common multiple of 7 and (0 - -1)*9\/y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/650 and 1\/52.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32749*c + 13996*c + 12403*c to the form v*c + w and give v.\nAnswer: -6350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 = -p + 5*a - 770, -22 = -2*p - 2*a. Solve 3*x - z - p = 2*x, 5*x + 5*z = -20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -69.\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (1 - -17)) + -9 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6*a**2 + 6*a - 15. Let x be r(6). Solve -k + 23 = 4*k + u, 5*k = -2*u + x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 2*i**2 - i + 14. Let j be k(3). Suppose 2*r = -j*r + 24. Solve -3*y + r = b, y + 6 = -3*b + 4*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**2 - 5*g - 48. Let q(p) = 2*p**2 + p - 2. Give f(d) - 6*q(d).\nAnswer: 2*d**2 - 11*d - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187523 by -49.\nAnswer: -3827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.000175 + 19. What is a rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.02856 (b) -0.34 (c) 7 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 17*t - 4. Give z(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28735342387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -t + 4*p, -2*p = 2690*t - 2695*t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -18 + 6*b - 18 - 4*b. Let k(z) be the second derivative of z**4\/12 - 728*z. Determine y(k(d)).\nAnswer: 2*d**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 17 (b) -1 (c) -6 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 31*x - 66. Let o = 175 + -142. Let u be d(o). Solve u = -m + 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1)\/(-2)*12\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 65. Find the second derivative of 17*n**4 - 284 + r*n + 284 wrt n.\nAnswer: 204*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1096.744 + 1097.4. Round k to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1)*-2 - 0. Suppose -u*f - 23 - 1 = 0. What is the units digit of (-3)\/((10\/f)\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 198 = 12 + 570 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 22*k**2 + 23*k**2 - 2*k**2.\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + -4 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(44\/(-396))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1 + 0 - 2 - 3*m + m. Let x(p) = 3*p + 4. Suppose -2*c - i = 8, 14*c - 13*c = -2*i - 1. Determine c*x(v) - 6*y(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.1 + 10. Let f = p - -0.1. Suppose -l - 3*l - 2*i = 2, -4*i = -3*l + 4. Which is the closest to f? (a) 1\/5 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271.5 + -270.5. Let d = -13 + 18. What is the closest to -1 in -4, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 715\/19, -43, 4\/37, -1 in increasing order.\nAnswer: -43, -1, 4\/37, 715\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1142002?\nAnswer: -1142001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608261.6 litres to millilitres.\nAnswer: 608261600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 327 - 329. What is the third smallest value in 2\/5, 2.2, 0.3, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -811 or -812?\nAnswer: -811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/110*-5)\/((24\/56)\/(148\/(-14)))?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(3*y**4 - 2*y**4 - 3*y**4) - 2*y**4 + 2342 - 2368 + 3*y**4.\nAnswer: 3*y**4 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -32153\/6 bigger than -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000113021 rounded to 7 dps?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.2925353.\nAnswer: -3.7074647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 12. Let r = 50 - 46. Let p be m(r). Solve -4 = 5*u + p*q, 4*q = -q - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073631 to 5 decimal places.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 102.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqgqqqyyqhhm. What is prob of picking 1 g and 1 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*o + 169 + 0 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**10*o**(6\/7))\/((o*o**(2\/3))\/o**9))**40 assuming o is positive.\nAnswer: o**(15280\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose -4*r + 94 = 2*c, 0 = 2*c - 7 - z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6497132 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 0. Suppose 135 + k = 2*u + 4*d, u = 4*d + 65. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 9. Let z = 17 - x. What is the least common multiple of z and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -5*v**4\/4 - 10*v**3\/3 - 5*v**2\/2 + 10*v. Let m(r) = 0. What is r?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 26484213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 216.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*o + 678 + 407 = -463 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4021*t**2 - 3*t + 46. Let q(i) = 4023*i**2 + 3*i - 47. Let l(y) = 3*m(y) + 4*q(y). Let a be l(-25). What is a rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2566 = -3*n + 8*n + 3*m, 4*n + 3*m - 2054 = 0. Let v = n - 280. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13868, 91, -2 in descending order.\nAnswer: 13868, 91, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 276356 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87950\/7 at least as big as 12564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 852078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48325.\nAnswer: 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -211?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r - 6. Let a be p(-5). Let b be (-6)\/(-24) - 13\/a. Let w(v) = -v**2 - 7*v. List the prime factors of w(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x = 147*x + 450 + 682 - 384 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 199*g - 392*g = 45479 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 426 + -426.4. Let t = -21 - -21.22. Let k = t + -0.52. What is the third smallest value in k, d, -4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 77*s**2 + 73*s**2 - 154*s**2 as o*s**2 + h + z*s and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 281535537 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**4 - 73*d**3 - d**2 - 31*d - 866853 with respect to d.\nAnswer: 20*d**3 - 219*d**2 - 2*d - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27168.15+0.6\nAnswer: 27168.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*u - 10 = -5*o, 3*o + 18 = -3*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-148642)\/39*15\/(-10).\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from uducuucccz.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/7 and -57\/16240.\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 + 5*w. What is the units digit of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 90689566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(162) + -2) - (1 + sqrt(162) + -1 + (sqrt(162) - 5*(-1 + sqrt(162)))**2).\nAnswer: -2619 + 333*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 304.1?\nAnswer: -305.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 185*m + 105. What is c(93)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -409.\nAnswer: -4\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.021319.\nAnswer: 0.021319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3835975 divided by 3.\nAnswer: -3835975\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187.14 + 187.04. Which is the closest to x? (a) 4 (b) -0.5 (c) 224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o**3 - 25*o**3 + 2 + 35*o**3 + 40*o**2 - 10*o**3.\nAnswer: -31*o**3 + 40*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Let c = -1 + h. Let p(g) = 179*g + 1. Let r be p(c). Calculate the highest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21818393 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4 - 12 = -4*g, -24 = -5*g - g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 508.62 - 509. Which is smaller: z or -0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07879 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - b + 5*b + 640 = 0, -5*j + 2*b = -803. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 46585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 49. Let k = u - 87. Let p = k + 53.8. What is p rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -25. Solve -l + n = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 72. Suppose -3*u + 0 + 6 = 0. Let h(q) = 2*q - 6*q + n - 20 - q**3 - 3*q**u. Determine h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*t + 93 - 24*t - 24*t - 26*t - 21*t to the form c*t + s and give s.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -906, 0.5, 16, -0.31 in ascending order.\nAnswer: -906, -0.31, 1\/9, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16654, -33577, -50502, -67429, -84358?\n\"Answer: -p**2 - 16920*p + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11 + 15 = -5*b, 32 = 2*i - 5*b. Suppose -t + i = -0*t. What is the lowest common multiple of t and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -46. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858214 is divided by 858100?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -147964 divided by 73982?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 4.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 + 7. Let g(a) = -2*a**2 + 4. Let n(j) = -7*g(j) + 4*h(j). Let k(s) = -13*s. Give k(n(d)).\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525, 537, 549?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-1*sqrt(24))\/sqrt(12) - (sqrt(72)*1 - sqrt(2))))**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - (-126)\/(-189)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/2750)\/((-2)\/10)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3709*t**2 + 1861*t**2 + 20287*t**3 + 1848*t**2)*((0 - 1 - 1)*(t + 3 - 3) + 4 - 4 - 2*t).\nAnswer: -81148*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -1000011011110110?\nAnswer: 1000011100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*y = 57*y + 39. Suppose y = -4*c + 41. Suppose 27 + 99 = 2*f. What is the highest common factor of f and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vheee. Give prob of picking 1 h and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/(x*x*x*x**(-8\/3)) assuming x is positive.\nAnswer: x**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*c**3 + 158*c**3 + 176*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29794464 divided by -42?\nAnswer: -709392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + sqrt(16)\/(-3*(sqrt(2) - sqrt(6)\/sqrt(3)) - sqrt(2)) + (sqrt(128)*4 + sqrt(128) - (sqrt(2) - -5*-1*sqrt(2))))**2.\nAnswer: -336*sqrt(2) + 3546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18057804 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssesxxx. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(22\/(-14) + 0 - 121\/19481*-92)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.63 - 27.7. Let u = 0.33 - 0.23. Which is the nearest to u? (a) x (b) -3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -18. Suppose h + 0 - 4 = -3*f, 1 = -2*h + a*f. Determine c so that -5 + 9*c**4 + 3*c**5 + 6*c**3 - h + 6 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 0.2, 2\/67, -5, -1\/2 in decreasing order.\nAnswer: 0.2, 2\/67, -1\/2, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 - u. Let r be g(3). Let o(f) = -f**2 - 14*f - 13. Does 3 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {r: 2, h: 1, k: 1, j: 2, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 415155 (base 6) in base 9?\nAnswer: 51018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2\/19 (c) 4 (d) -0.032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 4*o - 6*o + ((-2 - 1 + 4)*(6 - 2 - 2) - 4 + 4 + 1 + 4 + 0 + 1)*(4*o - o - 5*o).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 - 123. Let p = u + -160.0009. What is p rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -202 (c) -3 (d) -33 (e) 0.3 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27727712 to the power of 1\/2, to the nearest integer?\nAnswer: 5266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54623963 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 30. Suppose 3*b + b - 4*j = g, 0 = -b - j - 2. Suppose b = -6*d + 44 + 16. Calculate the greatest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -22. Let w = r - -18. Suppose -42 = -5*g - 17. Solve g*h + 5 = -w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**5\/9 - 76526*p**4\/3 - 114788*p**3\/9 = 0.\nAnswer: -57394, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:42 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 655760 or 655970?\nAnswer: 655970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**6\/360 - u**5\/24 - u**4\/12 - 4*u. Let g(j) be the third derivative of h(j). Determine g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - x + 4*x)*(86*x + 153*x + 184*x + (-1 + 2 + 1)*(0 + 2*x + 0) + 3*x - 2*x - 3*x + 0*x + x + x + 0*x + 0*x + 2*x) as z*x + t*x**2 + a and give t.\nAnswer: 2145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 41. Let a = 41 - k. Suppose -a*h + 8 = -148. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(98) - (5 + 1*sqrt(98))))**2 + 5*(sqrt(98)*-1 + -5).\nAnswer: -35*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2. Let s(h) = 6*h**2. Let q(u) = -5*p(u) - 2*s(u). Let v(r) = 12*r. Calculate v(q(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -502.525 - -0.225. What is s rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.999 + -13. Round p to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 - 6*n + 5. Let g(c) = 6*c**2 + 5*c - 4. Let i be (-80)\/24*3\/2. Give i*f(s) - 6*g(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, 1, -1661, -4.17 in decreasing order.\nAnswer: 1, -0.2, -2\/3, -4.17, -1661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.8 + 14.8. Let i = 3 - 2.5. Which is the closest to o? (a) 0.1 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-2 + 1) - -1. Let v = -361 - -443. Suppose 30*f - v*f = 0. Solve j*m - 5 = 7*m, f = -3*s - m + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 + -135. Which is the nearest to t? (a) 4 (b) -2\/17 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**6\/360 + n**5\/30 - 7*n**4\/24 - 5*n**3\/3 - 3. Let q(l) be the third derivative of o(l). Let m = -17 - -12. What is q(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 0.3. Let l = 7 + -10. Let k = 2.9 + l. Which is the closest to 0? (a) k (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4)*-3*(-656)\/(-64206)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1579332 - -0.14795. Let h = q - -0.01. What is h rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455328 and 679860.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + b - 2 = 2, 5*t - 2*b - 55 = 0. Let u(m) = -13*m**2 + 4*m - 1. Let a(v) = 2*v - 3*v**2 + 2*v - 3*v. Give t*a(d) - 2*u(d).\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11409 (base 15) to base 16.\nAnswer: -d67d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.6256 decades to centuries.\nAnswer: 81.26256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 290457 and 1065009.\nAnswer: 3195027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 4) to base 6\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 81238395.7 to the nearest 100000.\nAnswer: 81200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**2 - 3*k + 1. Let z = -7 + 15. Let l(j) = 21*j**2 - 8*j + 4. Let w(c) = z*b(c) - 3*l(c). What is the derivative of w(f) wrt f?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i + 7. Let r(f) = -6*f - 2. Give -4*l(d) - 14*r(d).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60\/2009 and 59\/3822348.\nAnswer: 187295052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2223121 (base 4) to base 7\nAnswer: -43660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydda when four letters picked without replacement from yddyyyyyyyyaydy?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**3\/6 + 19*v**2\/2 + v. Let z be w(14). Is z at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61852752301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 54 - 54. Let d(q) = 3*q**2. Give u(d(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1779557 divided by 17.\nAnswer: -1779557\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 - 5*s - 4. Let r be d(-4). Suppose 2*c + 3*l = 71, 3*c - 4*c - 4*l + 48 = r. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4665833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -528*c - 2639. Determine k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 2 (b) 5\/3 (c) -1\/60 (d) -117.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1442933171.63 + -0.6.\nAnswer: 1442933171.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1261 divided by -7\nAnswer: 1261\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4 - (-17375)\/(-4345)). Let l = -974 - t. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14277.\nAnswer: 3, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9757 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -342734, -342735, -342736, -342737, -342738?\n\"Answer: -s - 342733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5049 and 5423.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 49. Suppose 2*i + 11 = -0*i - 5*j, -1 = i + j. Let b be (i\/1)\/((-6)\/a). Which is smaller: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.083 and 2497.\nAnswer: 2497.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 94. Let z(q) = -77*q**3 + q**2 - 2*q + 1. Let v be z(1). Let h be 194\/g + 14\/v. Is h less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o - 28. Let y(a) = -4 + 4*a - 6*a - 3. Let i(j) = 5*j + 21. Let h(p) = 3*i(p) + 8*y(p). Give h(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab4 - 4?\nAnswer: ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*y - 2, 3*n + y - 12 + 11 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*h + 7, 0*h = 4*h + 3*j - 17. Solve -2*d = -d + h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23805611191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26 - 16 = -2*h, 15 = 3*h. Solve 0*t = 2*t + g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20116 and 225877?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:16 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-39)*k)\/(k*k\/(k**18\/k)) assuming k is positive.\nAnswer: k**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 12*i + 1 - 4 - 6. Let p be a(11). Suppose p*t + 2*t = 0. Solve t = 2*f + f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - 9*j - 2. Suppose 2*k + 2*m + 11 = 3, 16 = -4*k - m. Let a be o(k). Let x(q) = 2246*q - 5. Is x(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52.1 + -50. Let i = 13.4072 + -15.5. Let c = i + a. Round c to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -61, -122, -205, -310, -437?\n\"Answer: -11*i**2 - 6*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:02 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328817 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (301 + (5 - 5))*11. Suppose -x - 4968 = 5*l - 8*l, 0 = 2*l - x - h. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13854?\nAnswer: 2, 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**6\/120 - 2*a**5\/15 + a**4\/4 + 11*a**3\/6 - 33*a**2. Let v be i(7). Solve 11 = 3*h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0 + 0)*(3*n**2 - 2*n - 2*n**2 + 0*n)*(1295 + 226 + 196) in the form w*n**2 + s*n + v + p*n**3 and give w.\nAnswer: -3434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + w + 5*w**4 - 2*w**4 - w**3 + 3*w**2 - w**4 - w**2 as k*w**3 + f*w**4 + p*w + c + n*w**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*w**2 + 16*w + 20 - 13*w - w.\nAnswer: 65*w**2 + 2*w + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minus -0.0211681?\nAnswer: 121.0211681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 600042 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2243 is divided by 927?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 10218209?\nAnswer: -1021820.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15323349 to the nearest integer?\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11168460 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11478 or 11476?\nAnswer: 11476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2596 = 74*z - 7702. What is the lowest common multiple of z and 36?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 24*r**2 + 44*r. Let o(u) = 5*u**2 + 8*u. Let s(t) = -11*o(t) + 2*q(t). Let b(i) = -14*i. Calculate s(b(l)).\nAnswer: -1372*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-1)\/(9\/20). Let q = -124 + 123.892. Let f = q + -1.892. Put f, p, 0.2 in ascending order.\nAnswer: f, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 404.\nAnswer: 7\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1134)\/280)\/(-27))\/(9\/(-72)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281415, -562823, -844231, -1125639, -1407047?\nAnswer: -1688455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 7*y**3 - y**2\/2 + y + 482. Let m(x) = 46*x. Calculate m(p(t)).\nAnswer: 1932*t - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 24 = -4*n - 24 + 34, 54*n + 25*r + 138 = 42*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9244\/(-4386278)*(-13)\/(-2)\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, 0, -5, 1, 9 in descending order.\nAnswer: 19, 9, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 31 - 62)*(0*m + 0*m + 3*m) in the form z + v*m and give v.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 11) to base 16.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 5*m + 101, 2*m + 494 = 4*d. Let q = d + -124. Let b(v) = -3*v + 4. Give b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2*i*i*i\/((i\/(i\/i**(-2\/5)))\/i)*i\/(i\/i**(4\/3)*i)*(i\/(i\/(i\/i**(-6)))*i)\/i assuming i is positive.\nAnswer: i**(206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -427 + 432. Sort c, 4, 1, -5 in descending order.\nAnswer: c, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -56*f. Let x be d(-5). Let h = x - 156. What is the common denominator of h\/32 + -5 + 3 and -119\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 2\/9 (c) 2676.2 (d) 0.5 (e) 1 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177391709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 368000 + -60?\nAnswer: 367830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 20*a**2 - 8*a - 2*a**3 + 3*a**3 - 10 - 26*a**2. Let s be r(8). Is (2 + 7\/(-2))\/(s\/(-12708)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301203 - -101?\nAnswer: -301102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2456?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-304)\/(-20) - (-98)\/(-7)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19766 - 23375756. Let s = 43205990 + u. Round s to the nearest 100000.\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366221 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19)*2 + -2)*5 + (6*sqrt(114)\/sqrt(6) - (-5*sqrt(57)\/sqrt(3) + sqrt(19)))**2 + 4.\nAnswer: 10*sqrt(19) + 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -231 + 231. Suppose -12*w - 67*w = i. Factor 5\/4*m**3 + 1\/4*m**4 + 0*m + w + m**2.\nAnswer: m**2*(m + 1)*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 0*l)*(-24*l**4 + 168*l**4 + 18*l**4) + 3*l**5 + l**5 - l**5 - 21*l**4 + 21*l**4 - 18*l**5.\nAnswer: -177*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -128683.457 to the nearest one hundred.\nAnswer: -128700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c + 4*c + c + (4 - 4 - 2*c)*(5 - 4 - 2) + 5 - 5 + 2*c + 4*c + c - 6*c + (-c + 3*c - 5*c)*(-1 + 2 + 1).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0. Let x be ((-12)\/(-30))\/((-3)\/30). Which is the nearest to l? (a) 4 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -303.5 and -3824.\nAnswer: 1160584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/117, 8, -13, -0.5 in descending order.\nAnswer: 8, 2\/117, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1008)\/33 - (3990\/(-154))\/(-57).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 1. Let i be h(-1). What is the tens digit of ((-1974)\/21)\/(-1 + i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3379*b - 48 = -5*u + 3382*b, -2*u + 22 = -4*b for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211210212 (base 3) to base 13.\nAnswer: 285a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -3. Let d = -2 - s. Let p = d + 8. Solve -q + 1 - 2 = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2 = -o, -4 = 77*b - 75*b - 6*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(l + 1 - 1 + 1 - 1 - 2*l + (-3*l - l + 6*l)*(-4 + 5 - 3) + l + 3 - 3 + 3028 - 3028 - 343*l).\nAnswer: 1041*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*h**3 + 0 + 2 - 182*h - 254*h.\nAnswer: 2*h**3 - 436*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**5 + 55*j**4 - 95*j**3 + 45*j**2.\nAnswer: -5*j**2*(j - 9)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*r - 3 = 0, 3*f - 6 = 2*r - 0*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 963.0125 years in decades?\nAnswer: 96.30125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahy when three letters picked without replacement from llhhhllaaayll?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 11749 = 7451. What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -16 (b) -2 (c) -0.4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001373223 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 + 105.04. Let n = 0.31 + -0.27. Let t = n - y. What is the smallest value in -1\/2, 4, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -0.39. Let o = -0.02 - n. Let j = 0.06 - 2.06. Which is the closest to -3? (a) 3 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) -0.03 (c) -0.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 less than 118925?\nAnswer: 118945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 899*s + 764. What are the prime factors of w(4)?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/156 and -67\/60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 672*p**2 + 2022*p + 9. Give y(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*b - 740, 3*b + 735 = 5*h + b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -525913*d - 488073.\nAnswer: -525913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 0.3 (c) -5 (d) 0.014\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13856525519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 127, 270, 431, 586?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r**4 - 47*r**3 - 30*r**2 + 47*r + 47. Let l(w) = -9*w**4 - 24*w**3 - 15*w**2 + 24*w + 24. Let x(a) = 4*f(a) - 7*l(a). Factor x(j).\nAnswer: -5*(j - 1)*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 95. Let v be 0\/(((-5)\/35)\/(2\/(-14))). Calculate the remainder when -645*(1\/(-3) - v) is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139417.54 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -34. Let d = 1 + a. Let s(u) = u**2 - 6*u + 3. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.3. Let m = i + 0.8. Which is the third smallest value? (a) m (b) -4 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.5 - -10.5. Let d = a - 50.25. Round d to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/10*5\/2. Let m(n) = -n**2 - 4*n**s - 4*n**2 - n**2. Let k(j) = -3*j**2. Let r(o) = 7*k(o) - 2*m(o). Let h(c) = -9*c. Give r(h(d)).\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2433094, 2433101, 2433112, 2433127?\n\"Answer: 2*w**2 + w + 2433091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14366421 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 74, 132, 190?\n\"Answer: 58*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 1135*j\/2 - 1288225\/4.\nAnswer: -(j - 1135)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -349, -344, -327, -292, -233, -144?\n\"Answer: u**3 - 2*u - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 7. Calculate v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 - 5 - 5*o**2 + 1 + 8*o**2 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5165122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6628 + -3537. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1771, -1791, -1849, -1945, -2079, -2251, -2461?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1.2, 12\/41, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-53 - (-13 - (13 + -30)))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137473 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 7:53 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(67 - 124 + 78)*(-4*g - 1 + 1) to f + d*g and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648, 705, 760, 813?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 4 = 14*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 26*q - 12. Let w be j(6). What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, a: 4}. What is prob of sequence rrar?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 6) + -19 + 27 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*r - 2, -4 = -0*c - 3*c - 2*r. Suppose -2*o - c = 6. What is the units digit of (2\/(-1) - o)*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**11)**38 assuming o is positive.\nAnswer: o**836","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/120 + i**5\/30 - 2*i**2. Let n be q(-2). Suppose -2*j - j + 30 = n. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/2*(-23)\/(1564\/17)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280149 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 69\/(-15))*(-8650)\/1038. Solve -10\/3*s**i - 4\/3*s + 8*s**2 + 13*s**4 + 0 - 49\/3*s**3 = 0 for s.\nAnswer: 0, 2\/5, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -695.890030763 - -695.89. What is g rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**7\/420 + 7*y**6\/360 - y**3 - y**2. Let v(p) be the first derivative of u(p). What is the third derivative of v(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -34*z**2 - 121*z + 1. What is the units digit of f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 75354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/54)\/5*3\/4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 3*v**5\/10 - v**4\/4 + 7*v**3\/6 + 11*v**2\/2 - 21*v. Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 < -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -132 + (-2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.9 + -3.9. Let g = -37 + i. Let t = 11 - 8. What is the closest to 1\/2 in 1\/7, t, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 15*d**3 + 11*d**3.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*x**5 + 33*x wrt x.\nAnswer: -3160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 0. Suppose -a*d = -d. Solve 3\/2*w + d + 0*w**4 + 3\/2*w**5 - 3*w**3 + 0*w**2 = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5266 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1582*c - 573. List the prime factors of v(10).\nAnswer: 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101 - -1010111001?\nAnswer: 1001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(2 + -4 - 1). Suppose o*u - 140 = 2*t, u = -0*u + 2*t + 44. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from xjjqjjjiq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*a**2 - 12 - 16 + 24)*(1 + 3 - 5) as n + z*a**2 + o*a and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 + 5*k**2 + 16*k + 6. Calculate a(-4).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29884*v - 44452*v + 64057*v to g*v + j and give g.\nAnswer: -10279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206238635 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 32256 + 58464. Suppose -5*z - 61051 = -4*h, 0 = 4*h - 2*z - 30802 - m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*5*12\/840?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-10\/7)*(z*z\/(z\/z**(-1\/25)))\/z*(z\/(z\/((z*z\/(z\/z**10*z)*z)\/z)))\/((z\/((z\/z**(8\/11)*z)\/z)*z*z)\/z))**(-2\/93) assuming z is positive.\nAnswer: z**(-13682\/59675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 27. Which is smaller: t or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1701.649 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 29876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(4\/(-6)). Let b be 665\/209 - (-2)\/(-11). Suppose -4*g - 26 + 6 = 0. Sort b, j, g in ascending order.\nAnswer: g, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(6\/(-8)*2). Let a be 1\/n*-2*6. Let m = -923 + 925. Sort 0.2, a, m.\nAnswer: a, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/6 and 107\/61678476?\nAnswer: 61678476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -441*-0.043\nAnswer: 18.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.4, 0.5, 0.05 in decreasing order.\nAnswer: 0.5, 0.05, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6*x + 5)*(4*x**4 - 7*x**3 + 7*x**3).\nAnswer: 24*x**5 - 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h + 2*h. Let d(c) be the first derivative of c**4\/4 + 7*c**3\/3 + 3*c**2 - 6*c + 5. Determine d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -124796, 13 in descending order.\nAnswer: 13, -1, -124796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-81)\/(-6) + (-5)\/(-10). Let a = t + -11. Suppose -a*v + v = -2*c - 4, 0 = 3*c. Calculate the remainder when 3 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 58211856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2976 - 796. Which is greater: 2178 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkgk when four letters picked without replacement from {v: 2, e: 1, g: 3, d: 4, k: 8, y: 2}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 3 + (11 - 64).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2310003 + -4?\nAnswer: 2304444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let t(l) = 133998*l. Determine t(b(d)).\nAnswer: 267996*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -285471397 to the nearest 1000000.\nAnswer: -285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6176 - 1.94946.\nAnswer: -1.33186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, f: 3, t: 4, v: 2, n: 3}. What is prob of picking 2 f?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 1027\/122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - ((-5316)\/663 - -4). Let t be 1527\/65*1\/(-17). Let h = t - b. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692*u - 785*u = 0. Solve -y - 11*r + 9*r + 9 = u, -3*y = -4*r + 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23008, -92015, -207024, -368035, -575048, -828063?\nAnswer: -1127080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101110 (base 2) to base 5.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 5:45 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -20*t**3 + 2*t. Suppose -2*p - 10 = -o - 1, -3*p - 3*o = 0. Let c(z) = -z**3. Calculate p*c(s) + q(s).\nAnswer: -17*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 0*o**3 + o**3)*(-23 + 7 + 17 + 31*o + (0*o + 4*o - 2*o)*(-3 - 3 + 4) + 2 - o - 2 + 0*o + 0*o - 2*o + 3*o - o - 3*o).\nAnswer: 69*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05928 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Suppose -c*w = -2*w. Suppose w = -2*r - 6, 0*n + 139 = n + 2*r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 493255\/24 - 20554. What is the common denominator of k and (103\/(-12))\/((-2)\/(-4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/8*12\/(-10). Let q be 1 - 3 - (-12)\/a. Solve -2*p - q*l - 2 = 0, 4*p + p + 13 = 3*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -122.55. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 2\/7 (c) 2360 (d) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.416632l to millilitres.\nAnswer: 416.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*p**4*q**2 - 4*p**2*q**3 + p*q**2 + 25*p*q - q**3 wrt p?\nAnswer: -144*p**2*q**2 - 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10032 (base 5) to base 9.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 2:10 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/3*r**5 + 0 - 22*r**4 + 92\/3*r**3 - 8*r**2 - 16\/3*r = 0. What is r?\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001100 (base 3) in base 2?\nAnswer: -10111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/32 in 1.7, 10, -21, -4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 52 + 2\/3*t**2 + 82\/3*t = 0?\nAnswer: -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 2*u**2 - u**4 + 2*u**4 - 4*u**4 + 5*u**4 + (2 - 2 + u**3)*(-3*u + 4*u - 8*u).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84643\/5 + 17074. Put m, 2, -1\/3, -0.4 in increasing order.\nAnswer: -0.4, -1\/3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -7*w - 38*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/24 + a**3\/3 + 50*a**2. Let o be x(3). Suppose 10 = o*l - 10. Solve -l*u = u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = -2*n + 14*i + 3220, 5*n - 8051 = -4*i. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -11*v**6\/40 - v**5\/30 + v**4\/8 + 2*v**2 + 31*v. Find the third derivative of t(n) wrt n.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - (-16 + 19)) + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*o = 30, 5*k - 64*o + 66 = -61*o. Is 8 a factor of -1*(k - -5)*43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4402572 is divided by 383?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 712*n + 356*n + 4 + 6 = -355*n, z + 496 = 71*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*k + 6, 0 = -9*k + 16*k + j - 32 + 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114798*t**5 + 66*t**2 + 52*t.\nAnswer: -6887880*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206828?\nAnswer: 2, 29, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -595318, -595895, -596472, -597049?\n\"Answer: -577*g - 594741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 771, 1043, 1315, 1587, 1859?\n\"Answer: 272*u + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194 (base 16) to base 4.\nAnswer: -12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6419\/27166?\nAnswer: -6419\/27166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2 + m + 1. Let o(j) = 5*j**3 + 22*j**2 + 3*j + 3. What is -o(y) + 3*x(y)?\nAnswer: -2*y**3 - 19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h + 1. Let t be v(1). Suppose -t*u - 2*b = -1271, 4*u - b + 6*b = 1010. Suppose 3*d = 6*d - u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/7 + 6\/21. Let o = 12 + -17. Put 0, w, o in descending order.\nAnswer: w, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -75. Let f = -3 + x. Let h be f\/(-14) + 3\/((-63)\/(-510)). What is the highest common factor of 216 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/5 + 1146*w**4\/5 + 1152*w**3\/5 - 1146*w**2\/5 - 1149*w\/5 = 0. Calculate w.\nAnswer: -1, 0, 1, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/6 + 2*k**3\/3 + k**2 + 2*k - 14. Let j(c) be the first derivative of s(c). Determine x so that j(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 23*y**2 + 23*y + 29. Let f be r(24). Suppose -56 + 22 = -2*l + 5*a, -27 = -l + f*a. Is l greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1980 = 3*t + 3*r, 5*t - 3*r - 3276 = -2*r. Let f = t - 295. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 236b8c + -3?\nAnswer: 236b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 10. Let g(s) = 3. Let y(d) = d**3 + 12*d**2 + 9*d - 2. Let m be y(-11). Let q = -18 + m. Determine q*i(p) - 7*g(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58630)\/(-2145)*(-9)\/36*3*2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 15*y + 24. Let l be x(14). Solve 2*p = -l + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let f be 1\/2*-2 + 5. Suppose 0 = -3*q - 4*r + 32, -f*q - 10 = 2*r - 36. Let t(x) = x**2 + 4*x - q*x + 0*x. Calculate w(t(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 12 + 1 - 3. Suppose -s + 32 = 5*c. Solve i - c*v + 17 + 1 = 0, 3*v = -2*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 47. What is the smallest value in c, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208338 is divided by 29745.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + s - 9*s + s - 47.\nAnswer: -9*s - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l + 3*l + 3 - 11*l + (0*l - l - 4*l)*(0 - 1 - 1) to s + q*l and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16526.81 to the nearest ten.\nAnswer: 16530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-166)\/((-1894558)\/570347)\nAnswer: 3\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1375 and 12978875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*z - 300*z = 44 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003118471 rounded to 7 dps?\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348916.\nAnswer: 2, 19, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23573959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*z + 117, 0*a + 2*a = -3*z + 77. Suppose -17 = -2*o + a. Differentiate o*q - 2 + 0*q - 13*q wrt q.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -5\/3078?\nAnswer: -5\/3078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-206)\/42 - 2204\/(-114)*(-225)\/725.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 4. Let s = 20 - 11. Let a be 33\/s + (-2)\/(-6). Solve 9 = a*h + m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - i + 684 - 677 = 0, -g + 5*i + 28 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (126 + 73 - 9)*(2 - 2 + a) to v*a + o and give v.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q - j - 84 = 0, -4*j - 16 = 0. Let v = 4 + -5. What is the remainder when 29 + (0 + v)\/(-1) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 5, 10, 13, 14, 13, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 - b**3 - 3*b**2 - 13*b + 10. Suppose -4*k - 11 = 5. Give o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 3842?\nAnswer: 384a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(2\/(-2976)*-2). Suppose 10*f = 13*f - y. What is the highest common factor of 31 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1536 - 28?\nAnswer: -27.8464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -23.5 (b) -2\/5 (c) -3 (d) -3\/49 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -257ff35?\nAnswer: 257ff40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/21 + 2\/(-14). Suppose -4*c + 6*c - 2 = g. Do c and 5\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7696 + 7688 = u - 3*s, 0 = -4*u - 4*s + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54982 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5014991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 1, a: 2, i: 4}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -30*p - 459. Let x be z(-15). Is -10 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 131*s**2 - 3*s - 6. Let k be c(0). Let x(d) = d**2 + 4*d - 22. Calculate x(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/60 - (-2 + (-24)\/(-10)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z + 75. Let t = z - -20. Suppose 2 = -d + t*n, -n - 4 = -5*n. Solve -d*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s + 0*s + 0*s - 3*s. Let q(b) be the second derivative of -b**4\/6 - 2*b + 135. Calculate d(q(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxccxrxxxxar. Give prob of sequence rca.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 9*p**2 - 3*p + 19. Let o = 46 + -41. Suppose -o*j - 37 = 2*s, 3*j - 4*s = s - 47. Is 23 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + m = -0*n + 18, -3*n - 10 = -m. Let h = -0.05 - -0.05. What is the third smallest value in 0.1, h, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + d**3 - 4*d**2 - 27*d + 6*d**2 - 5*d**2 - 23*d**3.\nAnswer: -22*d**3 - 3*d**2 - 27*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793404821?\nAnswer: 11, 67, 79, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b (base 13) to base 11.\nAnswer: -1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2433055 (base 7) to base 4\nAnswer: -1023320032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let a(f) = 6*f + 1. Calculate a(v) + 3*c(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/4 + 116*l - 944 = 0.\nAnswer: -472, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (45 - 43)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -8 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltltl. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 22 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + d)*(2*d - 3*d + 2*d + 458*d - 29478 + 29478 + (3 + 2 - 3)*(3*d + 3*d - 4*d)).\nAnswer: -926*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-691)\/(-3) - (-106)\/159 is divided by 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/6*203\/3. Let s = -67 + h. Which is the closest to s? (a) -0.4 (b) 4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (69\/(-12))\/((-9)\/36). Suppose 820 = -r*o + 7628. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a**3 - 17*a - 17. Let y(j) = -4*j**3 - 6*j - 6. Let z = 68 - 49. Let b(m) = -m**3 + 19*m**2 - 2*m + 21. Let w be b(z). Calculate w*y(r) + 6*c(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:53 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -728482?\nAnswer: 728478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auaiiuxuaaaiaaauui. What is prob of sequence uuxi?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k + 5\/3*k**3 + 0 + 1\/2*k**2. What are the prime factors of t(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 147 = -36*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 - -189.9966. Do -3 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let p(l) = -1. Let g(f) = 3 - 1 - 1 - 2 - 2*f. Determine a*p(k) + g(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htuuk. What is prob of picking 1 h and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-25))\/(-3))\/(((-143)\/13)\/(-1815))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 50 - 20. Suppose -h*y + 5*j + 0*j = -230, -2*j + 49 = y. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**2\/2 + 2*p - 5. Let h be l(-5). Let w be 1\/(0 - h\/6). Which is the smallest value? (a) -2 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1521*a - 5934. Give y(-6).\nAnswer: 3192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 - 261. Suppose 5*p = u + 4. Put 4, -4, p in descending order.\nAnswer: 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/20 + 43*k**4\/3 - 3698*k**3\/3 - 3*k + 107. Factor s(m).\nAnswer: -m*(m - 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/9, 1\/5, -1 in increasing order.\nAnswer: -1, -2\/9, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4683 and -63.7.\nAnswer: 4619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 6. Let i be o(-6). Suppose -n + i*n + 47 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11266 or -11302?\nAnswer: -11266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 21 = 2*u - 4, -2*s + 50 = -5*u. Solve -3*a = -s + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6245962?\nAnswer: 2, 29, 113, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.82361cm in millimeters?\nAnswer: 718.2361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -33, -47, -65?\n\"Answer: -2*j**2 - 4*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2534312\nAnswer: -760293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69746054 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**3 - 18*w**3 - 18*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103.5 + 103. Let w = 78\/85 - 4\/5. What is the closest to w in -1, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 + 7*g**4\/12 - 49*g**3\/6 + 14*g**2. Factor v(k).\nAnswer: -(k - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -338*s + 919*s - 192*s + 10 - 191*s - 197*s. Let d(b) = -b**3 + 3*b**2. Let n be d(3). Let o = n - 0. Calculate z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*x**2 - x + 7*x**2 + 24*x**2 as y + p*x**2 + z*x and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11c - 22b2?\nAnswer: -2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -112 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-2)*-1*2. Suppose -a*u + 26 = 3*q + q, 0 = -5*u + 10. Suppose 7 = 2*y + 1. Calculate the remainder when q is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 4*m - 6. Let x be k(5). Let u be 1 - (x - (-26)\/14). Let n = -36 + 182\/5. Sort u, 4, n in descending order.\nAnswer: 4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**5*f + 42*d**3*f + 2*d*f - 61*f wrt d?\nAnswer: -80*d**3*f + 252*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5335*l - 55. Let b(t) = -474*t + 5. Let g(u) = 45*b(u) + 4*o(u). Let i(k) = -9*k - 4. Give -5*g(m) - 6*i(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22688249?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 21. Suppose 4*g - 28 = g - c*v, 3*g = 5*v - 7. Suppose -g*h + 131 = 41. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*v + 11, -3*w + 3*v + 6 = -3. Let q = w + 5. Solve -2*n = -5*p + 14, 14 - q = -5*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 + 439. List the prime factors of x.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20 - 32)\/((-2)\/(-2)). Is -12 != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 10) to base 15\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 10. Let i = -19 + 41. Let t be 3\/m + i\/4. Let o(y) = y**3 - 5*y**2 + 3. Determine o(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c**2 + 11 + 6*c**2 + 8*c + c**3 + 2*c**2 + 0*c**3. Let g be i(-7). What is the third derivative of -11*o**g + 13*o**4 + 6*o**4 - 5*o**2 wrt o?\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2055 - -2055.002114. What is x rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbaf when four letters picked without replacement from {b: 1, o: 1, s: 1, u: 1, f: 2, a: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -481 - -551. Is 74 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 370\/56*(-12)\/(-99). Let h = n - 13\/21. What is the smallest value in -2\/15, 2, h?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45096, 63607, 82120, 100635?\n\"Answer: v**2 + 18508*v + 26587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from avxeaeaeaxaexva?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151267179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2 - (-121 + 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + k - 248 + 34, -5*k + 260 = 5*g. What is the remainder when g is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrm when three letters picked without replacement from mmmmmmmmrmmrm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 388657420 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793, -3167, -7123, -12661, -19781, -28483, -38767?\nAnswer: -50633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g - 39*g + 11*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwyw when four letters picked without replacement from {w: 3, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110101001101100 (base 2) to base 6.\nAnswer: 4032352","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 80 = -0*o. Let r(u) = 4*u**2 - 3*u - 15. Calculate the remainder when o is divided by r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/12 + 4*m\/3 - 11 = 0.\nAnswer: -22, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 = 14. Suppose z*k = 2*k. Suppose k = -4*l + 5*j + 26, -5*l - 3*j - 4 + 18 = 0. Sort l, 0, -5 in ascending order.\nAnswer: -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19914.\nAnswer: 2, 3, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**4 + 2*g**4 + g**4 + (4 - 2*g**3 - 4)*(3*g + g - 2*g) - 30*g**4 + 13*g**4 + 125*g**4.\nAnswer: 102*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-13 - -13) + 137 + (7 - 12)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467255670.\nAnswer: 2, 3, 5, 7, 47, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 + 39076*z + 381733444 = 0.\nAnswer: -19538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -51.7702 times -3\nAnswer: 155.3106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 162239730 to the power of 1\/2, to the nearest integer?\nAnswer: 12737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5646 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let p = 3571 - 3571.3. Put p, 5\/18, q in decreasing order.\nAnswer: 5\/18, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/5 - 26364*s**3\/5 - 4186269*s**2\/5 + 4265346*s\/5 + 8425248\/5 = 0?\nAnswer: -157, -1, 2, 8944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(500) - ((1*sqrt(500) + sqrt(500) - sqrt(500) - sqrt(500))*-5 + sqrt(500))) + -1)**2 + -3 + 1*-3*sqrt(500) + -2.\nAnswer: -30*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.98 + 0.02. Let u = 1.656 - 1.856. Suppose 5*w + 5 = -5. Which is the second smallest value? (a) w (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*h + 3194 = 1234*h + 1419*h - 3432 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 664834853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201 - 190. Let y(d) = -5. Let r(m) = -m - 26. Determine v*y(a) - 2*r(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*q + 112*q + 104*q - 297*q.\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2017303 + -4?\nAnswer: -2017307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2\/5*b**4 + 0 + 64\/5*b**3 + 0*b + 174\/5*b**2 = 0.\nAnswer: -29, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 3, 7, -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2. Let t(s) = -4*s + 16 + 5*s - 17. Let z be t(0). What is n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0 - k + 5 + 0. Let c be v(6). Let g be (-5 + 5)*(-1)\/(-2). Is c at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 209. Let f = z - 1433\/8. Find the common denominator of -37\/11 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 + -156.61. Round x to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = -4*b + 4*o, 0 = 3*b - 4*o - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40404261 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15094737 divided by -162309?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10102111 + 141?\nAnswer: 10102252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**3*d*z - 177*b**3*d + 5*b**3*z - 414*b**3 - 2*b**2*d*z + 2*b**2*d - 18*b**2*z + 4218*b**2 - 2*b*d*z wrt b.\nAnswer: -30*d*z - 1062*d + 30*z - 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81.1 + 81. Let v = -5 - -1. Suppose -5*n + 2*n + 3 = 0. What is the closest to 1\/2 in a, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k\/(k\/(k\/k**(-8)))*((k*k**(3\/2)\/k)\/k)\/(k\/((k*(k\/((k\/(k**(5\/2)*k)*k)\/k))\/k*k*k)\/k)))**(-15) assuming k is positive.\nAnswer: k**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, 4, -81, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/30 + 4*105\/(-1400)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*i**2 + 1\/6*i**4 - 5\/6*i**3 + 1\/3 - 7\/6*i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/840*20*98\/(-6).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6 + 1)*2. Suppose 4*d = 3*b - 1212, -b - t*b + 3*d + 1623 = 0. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-51)\/12 - 1)*((-1468)\/(-4771))\/(14\/(-13)). Let j = -0.1 + 0.2. Sort j, k, -0.1, 3.\nAnswer: -0.1, j, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2. Let r(b) be the second derivative of 223*b**4\/3 - 41*b + 13. Calculate r(l(m)).\nAnswer: 8028*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18514183007 + -18514182820.00000518. Let r = b + -187. What is r rounded to 7 decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950240*y**2 - 950236*y**2 + 2850705*y**2 - 950233*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 10*n**4 + 32955*n**3\/2 - 9465315*n**2\/2 - 16640455*n\/2 - 7142205\/2 = 0.\nAnswer: -1897, -1, -3\/4, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 + 12*a - 12. Let n be 32\/12*(5 + (-76)\/8). Let c be 1*(-5)\/20*-4. Let m(y) = y - 1. Give c*t(g) + n*m(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*x + 5. Let w = -214 + 213.6. Which is the second biggest value? (a) x (b) 3.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1403 and 77\/549.\nAnswer: 12627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*b + 2*b - 5, -5*k + 5*b + 5 = 0. Is k\/(0 + (-2)\/(-28)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -34, -2, 3\/5, 21 in decreasing order.\nAnswer: 21, 14, 3\/5, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/170)\/(((-7)\/(-168))\/(12\/(-48)))?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 16. Let j(k) = -2*k + 2. Let m be j(-5). Let r be g(m). Suppose -946 = 26*o - r*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 - 4*t**2 + 10*t**3 + 4*t**4 - 6*t**3 + 0*t**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - b - 21254, 11*l - 4*b + 12734 = 14*l. Let f = -2823 + l. List the prime factors of f.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10ca68 (base 13) in base 14?\nAnswer: a57cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 23, -114, -22, -4, 545 in descending order.\nAnswer: 545, 23, 3, -4, -22, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2 + -3)**2 + -1 - (sqrt(35)\/(sqrt(10)\/sqrt(2)) + (sqrt(7) + sqrt(84)\/sqrt(3) - sqrt(7))).\nAnswer: -5*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 2430?\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491229063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4187*n**2 + 79*n - 79. Let q(d) = 161*d**2 + 3*d - 3. Determine 3*g(v) - 79*q(v).\nAnswer: -158*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419\/25 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - 5*i + 5. Let f(y) = -4*y**2 + 3*y - 3. Let t(m) = 3*c(m) + 5*f(m). Let a(r) = 3*r. Give t(a(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -25*d**2 + 25*d + 9. Let c(f) = -6*f**2 + 6*f + 2. Let t(k) = -9*c(k) + 2*s(k). Factor t(b).\nAnswer: 4*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23206489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-2)\/9). Let o = 1.49 + -0.89. Sort -1\/2, o, 5, l in decreasing order.\nAnswer: 5, o, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/4))\/((b\/(b\/b**6))\/b))**(-16\/3)*(b**1\/b*b)**11\/(((((b*b**1)\/b)\/b)\/b)\/(b**(-1\/4)\/b*b)) assuming b is positive.\nAnswer: b**(127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = 0. Suppose v = 2*o + o. Let z be (2\/(-4))\/(2\/1). Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018697877.\nAnswer: 3, 503, 2663153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**3 + 0*r**3 + (-1 + 5 - 3)*(0 + r**3 + 0))*(0*r - 2*r + 3*r)*(1 - 1 - 3).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 17\/(1700\/(-1112)))\/(65\/325)?\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9479030 by -50690.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 2409.\nAnswer: -9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**6\/18 + 2*w**5\/3 - 25*w**4\/12 - 205. Factor l(c).\nAnswer: -c**3*(c - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 7130775?\nAnswer: 7130771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -18, -45, -92, -165?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53418837 - -53419055.91981. Let k = h + -131.91922. Let q = -87 + k. What is q rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 6*g**5\/5 + 91640*g**4 + 17409506*g**3\/15 + 60625532*g**2\/15 + 11605832*g\/5 + 1832496\/5 = 0.\nAnswer: -76354, -6, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 > 269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 942?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/274858309 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 + -97. Suppose d = -2*d + w. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - v + 437, -5*b - 4*v + 1249 = 530. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5612779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 4. Let u be b(-14). Let h = u - 38. Solve h = 5*s - 13 - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -112, -121, -144, -187, -256, -357?\n\"Answer: -c**3 - c**2 + c - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10024451.\nAnswer: 313, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 12.77 (b) -0.39 (c) 2\/13 (d) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (11 - (3 - 1 - 9)) - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 82, 60, 20, -44, -138, -268?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3698 - -3732. Solve -2*r - y = -30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388235, 776881, 1165531, 1554185, 1942843, 2331505?\nAnswer: 2720171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12579 - -12886. Solve b = 22*c + 131 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-9)*117\/(-78). Let p = 217\/6 + -36. What is the third biggest value in b, p, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235402 (base 6) to base 5.\nAnswer: -1130131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(64) - (2 + sqrt(1377))) + (-5*sqrt(17) + 1)**2*6 + -3.\nAnswer: -275*sqrt(17)\/4 + 2551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 452520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2443*j + 31717. Calculate l(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 21*j**2 - j. Let w be m(1). Suppose 0*r - 3*r = -3*v + 63, -5 = 5*r. What is the greatest common factor of w and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1228742 and 4456.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29.5 * 0.06\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 671*n + 3*n**3 + 777*n + 89*n - 100*n in the form l*n**2 + f*n + v + g*n**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1072 < 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*r**5 - 994*r**3 + 429248*r**2 wrt r?\nAnswer: -960*r**2 - 5964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -49, -0.4, -1?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, -0.02, -1\/3, -5, 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*l + 440 = 0, 3*n + 272*l = 274*l + 1243. Calculate the remainder when n is divided by 94.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 0, -k = -4*u + 8*u. Suppose 0 = -k*t - 2*t. Suppose 5*j - 2*j - 231 = t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(37*o + 61*o + 105*o)*(o**3 - 3*o**3 + 4*o**3).\nAnswer: -406*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a49b598 + b?\nAnswer: a49b5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 - 2*o + 4. Let l be w(-3). Let a = l + 29. Let x(z) = a*z - 4*z + 2*z + 0*z. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 23*q + 88. Let v be l(-21). Suppose 45*f = v*f - 361. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - 3351729\nAnswer: -3351728.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/7)\/(u\/(u\/u**4)))\/(u**(-7)*u\/u**(2\/11)*u))\/((u**(-2\/11)\/u*u)\/(u*u**(-1\/7)*u*u))**(-22) assuming u is positive.\nAnswer: u**(-724\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 939654\/50 + 202\/(-2525)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1 + -1*sqrt(1088) + 1)**2 + (sqrt(425) - (sqrt(425) + 2 + 1)) + sqrt(425) + 3.\nAnswer: 4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a meter in centimeters?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/57)*c**(-7\/6)*(c*c\/(c\/(c*c\/(c*c**(-4\/5)\/c*c*c)))*c*c)**(-5\/12))**(14\/11) assuming c is positive.\nAnswer: c**(-4445\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 425255293 to the power of 1\/2, to the nearest integer?\nAnswer: 20622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1704 = x. Let h = x - 79. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2\/9, -2\/7, 0.02 in increasing order.\nAnswer: -4, -2\/7, -2\/9, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13173 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 2 + -2 + -1. Let n(o) = o + 5*o - q*o - 2*o. Let l(c) = -2*c. Calculate n(l(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 27*s**2 - 85*s + 472. List the prime factors of l(33).\nAnswer: 2, 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 205*a**2 + 10454*a - 48. Let d be w(-51). Suppose -40*t**4 - 385\/3*t**d + 45*t**5 - 100*t + 40\/3 + 210*t**2 = 0. What is t?\nAnswer: -2, 2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.3057 times 0.02?\nAnswer: -1.346114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36 - (-14)\/126) + -7 + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 - 30*s - 29 = 0. Calculate s.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.67 + 0.33. Let r = 1.8 - 1.79. Which is the closest to r? (a) 0.3 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 2*y + 13*y + (-y + 6*y - 4*y)*(0 + 0 - 1) + y - y - y in the form a*y + n and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0 - -4?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4, 0.2, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80500 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 9 = 0. Let v = -55 + 81. Calculate the remainder when v is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 776*i**2 - 13 + 402*i**2 + 376*i**2.\nAnswer: 2*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*d = -407*d - 1096606. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42342453 - 62108453. What is j rounded to the nearest 100000?\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15602 (base 13) to base 9.\nAnswer: 61568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Suppose -3*m = l*q + 21, 2*q - m + 12 = 3. What are the prime factors of 2 + 5 + q\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*u - 2, -33*c + 8 = 2*u - 28*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.399442735652 take away 1.4?\nAnswer: -1.799442735652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 8*d**2\/5 + 19*d\/5 + 12\/5.\nAnswer: (d + 1)*(d + 3)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 7*b - 4 + 0*b + 3*b. Suppose 3*m = -2*m + 45. Calculate the remainder when 7 is divided by d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(8))\/sqrt(3)*1 + 5.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2263.713g?\nAnswer: 2.263713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5787*d - 40493. Determine r(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32582769 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1040, -977, -940, -941, -992, -1105, -1292, -1565?\n\"Answer: -2*t**3 - t**2 + 80*t - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75086749 rounded to the nearest 10000?\nAnswer: -75090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 87 + 23*y)*(8*y - 30*y**2 - 8*y).\nAnswer: -690*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 696\/1218 - (-15)\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5808 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let k be 1\/(17\/(-6) - -3). Let p be (-10)\/(o - 2\/k). What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23064 or 23610?\nAnswer: 23064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = 4. Let v(r) = -r**3 + 8*r - 2. Let d(l) = -2*l**3 - l**2 + 15*l - 3. Let g(a) = -3*d(a) + 5*v(a). Let s be g(z). Solve 2*q = s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcyewcvvecvywvvwe. What is prob of picking 1 y and 1 v?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(4*37\/(-888))\/((-1)\/2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1361505996 divided by 16308\nAnswer: 83487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 17 - 20 = 0. Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 14*k - 5. Determine z(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38117 - 85634 = -47*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**3 + 3*x**2 - 5*x + 61. Determine a(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 526, 1058, 1592, 2128?\n\"Answer: s**2 + 529*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 + o + 2. Let q be a(5). Let n = q + -4. Suppose n*v - 57 = -3. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 2. Calculate the remainder when 350 is divided by b(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111128644 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f*f**(1\/6))**(-28)\/(f**(-2\/3)\/(f*f**(-1))*(f*f\/(f*f**(1\/3)*f)*f)**5) assuming f is positive.\nAnswer: f**(-274\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 13*w + 230. Let p(d) = -d**3 + 7*d**2 - 5*d - 4. Let s be p(6). Suppose 6 - 4 = -s*a. Put -5, w, a in ascending order.\nAnswer: w, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2341, 2651, 3213, 4063, 5237?\nAnswer: 6771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 247760.27 rounded to the nearest 100?\nAnswer: 247800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 + -4.24. Let i(c) = -c - 1. Let t be i(-2). Let l = -0.4 + 2.4. What is the closest to t in n, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(75) + -2*(sqrt(75)*-3 - sqrt(75)) - -3*2*sqrt(75)) + -4)**2*-2.\nAnswer: -33758 + 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1136338*0.5.\nAnswer: -0.0568169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -3, 32, -158 in descending order.\nAnswer: 32, 0, -1, -3, -4, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*w**2 + 2760*h*w**2 + 16*w**2 - 43 with respect to h.\nAnswer: 2*h*w**2 + 2760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -4, -1\/3, -1\/4, 0.2.\nAnswer: -80, -4, -1\/3, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100)*-1 - sqrt(2100))*-1*-3)\/(sqrt(36)\/(-3*sqrt(12)) - ((sqrt(3) - 2*sqrt(9)\/sqrt(3)) + sqrt(3))).\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/10527308 and -53\/20636?\nAnswer: 73691156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.7 + 17.7. Which is the closest to 2\/5? (a) -0.1 (b) -1\/12 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 232, 241, 250?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1001)\/(-16016))\/(6\/8*3)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -8. Suppose 3*w - p = -2*p + r, -w - 3*p + 9 = 0. Let q = w - -3. Solve -q*c + 3*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 + 4686*l**3 - 9387*l**2 - 4686*l + 9384 = 0.\nAnswer: -1564, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2671155 = -l, -1188*i = -1187*i - 7. Round l to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1351, -2277, -3201, -4123, -5043, -5961?\nAnswer: -6877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 575\/8 not equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11*b*b*(b*b**(-6))\/b*b**(4\/5)*b**8\/b assuming b is positive.\nAnswer: b**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*s**2*w*x**3 - 5*s**2*x**3 - 19*s**2*x + 2*s*w*x - 5*s*x**2 - 11*s*x - 22*w*x**3 + 3*w*x wrt x?\nAnswer: -246*s**2*w - 30*s**2 - 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 9*r. Let o(m) = 115111*m. What is a(o(d))?\nAnswer: -26501084642*d**2 - 1035999*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.4205+-8\nAnswer: -4.5795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 4*o - 8. Let g be b(-2). Suppose 135 - 199 = -g*k. Calculate the least common multiple of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4761 = 17*o - 4623. Calculate the smallest common multiple of o and 22.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-5)\/5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 0.22, 1\/5, 2, 16, 3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 1, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*x**2 - 2 - 45*x**4 + 7 + 12*x**4 - 1 wrt x?\nAnswer: -792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-14)\/(-70))\/(-38*2\/(-10))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 n when four letters picked without replacement from {c: 2, z: 2, f: 7, m: 2, s: 2, n: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 323152526 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 6963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224000011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 30133533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 54. Let h be n(-20). Suppose -12*x - h = -110. Solve 7*a - x = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 4*h**2 + h + 1. Let l(r) = 452*r**2 + 364*r**2 - 2 - 4*r**3 - 4*r - 805*r**2. Calculate 7*b(n) + 2*l(n).\nAnswer: -n**3 - 6*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 320\/(-2028) + (-20)\/(-120). Sort 4, o, 1\/4 in descending order.\nAnswer: 4, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 - 912 = -62*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:24 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*q + 3442 = -4*y, -4*q = -4. Let f = -507 - y. Suppose 3*g = -4*n + 294, 3*g + f = 4*n + n. Round n to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 2. Let x be z(2). Let m = -0.2 + 0.4. Let n = 0.03 - 3.03. Put x, m, n in increasing order.\nAnswer: n, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 38. Is 4 a factor of o(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360 (base 7) to base 8.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 72203*y - 13718578. What is x(190)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*g - 18 - 9 + 27 + (-1 + 7 - 3)*(-2 - g + 2).\nAnswer: 140*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2 + 14*l + 56. Let v(m) = -3*m**2 + 6*m + 25. Let u(n) = 2*q(n) - 5*v(n). Let y(c) = -c**3 + 13*c**2 + 14*c. Let s be y(14). Determine u(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 315a5?\nAnswer: 315aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(3) - (sqrt(108)*2)**2)*6.\nAnswer: -2592 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -666c2 + 1?\nAnswer: -666c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -96. Suppose 43*k - 38*k - 1330 = y. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8) - sqrt(8)*1*5))**2 - (sqrt(16)\/(2*sqrt(8)))**2*-3.\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 443*u - 10821. Give q(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212 + -1130210?\nAnswer: -1122332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 8. Let r(j) = 1. Suppose -4*l = -3*l + z - 3, -20 = -5*z. What is l*i(y) + 6*r(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/32)\/((-3553)\/(-2244)*3)?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 4. Let w(c) = -3*c + 9. Let a(n) = 2*w(n) - 5*z(n). Is a(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - -7. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Let l be (-46)\/14 + n\/14. Is 14\/(-9)*l*6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15*(-36)\/1680)\/(6\/7). Put 3, t, 7, 0.2 in decreasing order.\nAnswer: 7, 3, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*b - 3*a, 7 + 3 = 4*b + 5*a. Solve 0 = b*f - f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 35 = -2*n. Suppose 3*x - 3 = -n*x. Suppose 20 = 4*h - 4*f, -x = -3*h - 5*f + 22. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 140, 285, 430, 575, 720?\n\"Answer: 145*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(68)\/sqrt(4))*-5)**2.\nAnswer: -3200*sqrt(17) + 13200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 2*u. Suppose 14*k + 10*k - 72 = 0. What is d(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/(31\/93). Let u be (((-2)\/n)\/2)\/((-969)\/(-342)). What is the nearest to 0.1 in u, -0.2, 5, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w = -60*w + 84. Solve -u - 23*y + 19*y + 9 = 0, 2*u = 2*y - w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -85*z**2 + 6*z + 13. Let g(w) = 83*w**2 - 5*w - 11. Calculate -6*g(p) - 5*k(p).\nAnswer: -73*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 17*l = -27*l. Solve 8 = n + u + u, -2*u + 6 = l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(2 - 3 + 2)*(173953*c + 12 - 347749*c + 174517*c).\nAnswer: 2163*c + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1.3, -40, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u**2 + 29. Let i(w) = 13*w**2 - 27. Let q(s) = 4*b(s) + 6*i(s). Differentiate q(r) wrt r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 7. Let r be h(-6). Suppose 2*z = -a + 11, 3*a = 2*a - r*z + 14. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -72, 1, 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-292)\/7154 - (-13918)\/49. Calculate the highest common factor of s and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {p: 5, e: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(4\/7))\/(m\/m**(-4))*(m**(-2\/3))**(-23\/3))\/((m\/(m*((m\/(m*m*m**(-2\/9)*m))\/m)\/m))\/m*m\/(m*m**1*m))**5 assuming m is positive.\nAnswer: m**(-139\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255463 times -9?\nAnswer: -11299167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -g + v, 4*v + 13 = g - 5. What is the greatest common factor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 15*o - 63 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s - 453*s**2 + 379 - 119*s**2 - s - 3*s with respect to s.\nAnswer: -1144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/180 + b**5\/45 + b**4\/36 - 2*b**3\/9 + b**2\/2 + 15*b - 32. Let v(n) be the second derivative of h(n). Factor v(d).\nAnswer: -2*(d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38050501?\nAnswer: 41, 307, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 2}. What is prob of sequence cc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82.81 + -0.81. Let c = d + -36.1. Round c to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -55) + -75 + 13 + (0 - -63).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4 + 6*y**3 + 8*y**2 - 24*y = 0.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27702 by 27.\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 16*n - 11. Let o be c(15). Are o and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68531\/126 + 3838\/7. Suppose 0 = 2*s + 5*q - 2 + 12, -4 = -s + 2*q. Calculate the common denominator of h and (-90)\/(-32) + -2 + s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {d: 1, q: 1, j: 1, r: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**8\/6720 + c**7\/252 + c**5\/24 + c**4\/4 + 3*c. Let m(h) be the third derivative of p(h). What is the units digit of m(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.06 (b) -1\/2 (c) -7.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -823148, -3292646, -7408482, -13170662, -20579192, -29634078?\nAnswer: -40335326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v - 3*v + 9*v - 9*v**2 as q*v**2 + j + c*v and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928 - 1622 = 425*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367133 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 13454. Let w(h) = -h**2. What is g(w(a))?\nAnswer: a**2 - 13454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601659, 601481, 601293, 601095, 600887, 600669, 600441?\nAnswer: 600203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.30462ml to litres.\nAnswer: 0.07430462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 879697108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 3*c - 16, 0 = -5*k + 10*k - 5*c + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 23*r**2 - 28*r + 95. Let t(w) = -4*w**3 - 31*w**2 - 38*w + 127. Let z(d) = -15*b(d) + 11*t(d). Determine z(-6).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 2. Let x be 18 - ((-4)\/(-2) + 1). Suppose -4*u - 5 = u, 5*z - 5*u = x. Solve -4*t - 3 = p, -2*l - z*t - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/10)*w*w**(-4)\/w*(w\/w**(-2))**(-29) assuming w is positive.\nAnswer: w**(-909\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10 + 13 + 28 + 2*h. What is the units digit of p(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Let n be (2 - 15\/l) + -1. What is the closest to -5 in -0.1, -2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or 394415?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3903*q**3 + 11700*q**3 - 3901*q**3 - 3904*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 8*a = 315. Suppose -z + 1 = 3*y, -y - a = -4*y + 3*z. Suppose -3*o + 588 + 39 = 2*u, -4*o = -y*u - 822. Does 59 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.58 + 5.92. Let n = w - 61.659. What is n rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 - 225 - 17*q**2.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*v + 905 = 226 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}