diff --git "a/data/dm_maths/full_data_2/10716_11255.jsonl" "b/data/dm_maths/full_data_2/10716_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10716_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o = -1090598738016\/365 + 2987951752. Let s = 10004 - o. Let a = s + 27022\/1095. What is the common denominator of 45\/13 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkkzn. What is prob of picking 1 z, 1 k, and 2 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/3, -3\/7, -9\/8, -4, -16819?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 28410088571.\nAnswer: 28410088570.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 6*m**2 + 6*m - 6. Let z(i) = -5*i**3 + 7*i**2 - 7*i + 7. Calculate 7*b(l) + 6*z(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 0 + (-27)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1596, -7730, -17962, -32298, -50744, -73306?\nAnswer: -99990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/((-1)\/4*(-20)\/3). Let x = 1088\/15 - h. Let v = -77 + x. Which is the smallest value? (a) 2\/15 (b) -4\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 4*s - 19. Let h be p(3). Suppose 65 + 46 = 3*c. Let g = c + h. Calculate the remainder when g is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*s = -513, -q + 3*q + s = 249. Let m = q - 126. Suppose 5*v - 7 + 1 = 3*y, 2*y + 4*v - 18 = m. Solve 0 = r, 4*j - 8*j + 16 = -y*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l + 2. Let t be a(-2). Suppose -96 = 7*x - 15*x. Calculate the highest common divisor of x and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/3404 and 157\/276?\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*v**3 - 315*v**3 + 928*v**3 - 305*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*s + 785 = -471 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -368*k**2 + 2*k + 6. Let h(w) = 2*w**2 - w - 2. Determine -3*h(m) - x(m).\nAnswer: 362*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 56. Suppose z + 22 = -4*z + 3*m, 4*z - 5*m + g = 0. Let h be ((-2010)\/(-9))\/(z\/(-6)). Round h to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -344*i*s**2 + 453*i*s + 1960900*i + 16*s**2 - 1 with respect to s.\nAnswer: -688*i*s + 453*i + 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 7*u + 0*u**2 - 1\/4*u**4 + 0*u**3 + 0. Let a(g) = 4*g. What is a(x(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 6*x**2 + 5*x. Let q be c(7). Let g = 512 + q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m\/((((m*m**(-5))\/m*m)\/m)\/m*m*m)*(m**(-6)*m)\/m*m*m\/(m\/(m*m**(-1\/4))*m*m)*m*m\/m**(-6) assuming m is positive.\nAnswer: m**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/18)\/((-2200)\/5940)*10\/(-582)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 37*r**2 - 686*r - 1803. Calculate u(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + r**4 - 2*r**3 + 0*r**3 + (0 + 0 - 3*r**3)*(2*r - 2*r - 4*r) as f*r**4 + m*r**3 + g*r + n + h*r**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6114*d + 862119. Determine u(-141).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595391 is divided by 878?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-242)\/(242\/(-11))*3956\/(-946)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.3 + -51. Let v = m + -5.3000169. Round v to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 66 (b) 61.02 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67145970 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 14*c = 5. What is the closest to -13 in c, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 19*m + y = -18, -3*y + 1 + 5 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 - 181.6. Let u = 3 - 2. Which is the nearest to u? (a) n (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 555.765934 to 2 decimal places.\nAnswer: 555.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 129?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951, -929, -911, -897, -887, -881, -879?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 61813.57 to the nearest ten.\nAnswer: 61810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 4*o**2 + 2*o - 11*o**2 + 1. Let a(v) = -v**3 + 16*v**2 + 17*v + 4. Let m be a(17). Determine i(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.6 + 11.7. Which is bigger: k or 83\/4?\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2247863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -76110 divided by 15\nAnswer: -5074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (19 - 5)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 618\/11 - (-4)\/(-22). What is the tens digit of 21\/i + 1605\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 - -155.2. Let p = l + -16. What is the nearest to p in -4, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 139042132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g + 3. Let q be 5\/((-15)\/(-3) - g). Let x = -185\/2 - -96. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 5:51 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 204, 205, 206?\n\"Answer: g + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3)*o)\/o**6*(o\/((o\/(o\/((o*(o*o*o*o\/o**(1\/5))\/o*o)\/o)))\/o))\/o*o**(-3))**(1\/44) assuming o is positive.\nAnswer: o**(-16\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11393 from -477.\nAnswer: 10916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2c7b (base 14) to base 7\nAnswer: 32114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1046731\/40 + -26166. Calculate the common denominator of -44\/555 and p.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 8*v - 6. Let o(u) = -4*u + 3*u - 4*u - 593*u**v + 8. Let d be o(4). Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 - 186. Solve 26 = -0*n + 4*n + 2*f, -35 = -4*n - i*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/12 - 7*f**3\/3 + 41*f**2\/2 - 15*f. Let h be b(12). What is the second derivative of q - 153 - h*q**2 + 153 wrt q?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p + 4*c - 44, c + 199 = 5*p. Solve 5*k - 2*z = -10, -p = 5*k - 3*z + 7*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0.04 (b) 3\/14 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 2:44 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/9, -1\/5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*x**3 - 89*x**3 - 3*x**2 - 2 - 55*x**3 - x**2 - 41*x**3 to l + n*x**3 + z*x**2 + u*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-864)\/2832) + 7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151713244 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1468194*c**4 + 780862 wrt c.\nAnswer: 5872776*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41520 - -0.2.\nAnswer: 41520.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574623 is divided by 694?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -26. Suppose 2*g - 460 = -4*u, d*u - 3*u - 1138 = -5*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let n(l) = 12*l. Let d(t) = t. Suppose -2 = 4*c - 3*s, 0 = -5*c - 0*s - s + 7. Let f(j) = c*n(j) + 2*d(j). What is r(f(a))?\nAnswer: -196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 3*v + 0*v - 2*v + 0 + 0 + (24*v - 16*v - 13*v)*(-7 + 8 + 4).\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = -2. Let a(k) = k**2 + 12*k + 6. Let b be a(-11). What is the remainder when d is divided by ((-20)\/25)\/(1\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {d: 1, o: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/22 and ((-16)\/128)\/((-4)\/51)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2243214454 - 4?\nAnswer: -2243214502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1317101.\nAnswer: -7\/1317101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Suppose -5*t - 4*m = -52, -2*m + 4*m = -5*t + 46. Suppose 898 = t*q - w*q + 4*r, 0 = -4*q - 4*r + 720. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101112121100 + 210200?\nAnswer: 101120102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 34*c**2. Let s be t(-1). Let k = s - 65\/2. What is the closest to -2 in k, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051517 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u*z**6 - 2*u*z**2 + 39*z**5 - 40794*z**2 wrt z.\nAnswer: -240*u*z**3 + 2340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -24. List the prime factors of (29\/r)\/((-14)\/(-28)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s, 0 = 3*z - s + 2*s - 6. Let j(w) be the first derivative of 0*w + 0*w**3 - 2*w**z + 3 - 1\/4*w**4. What is the second derivative of j(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18387, 19624, 20861, 22098?\nAnswer: 23335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*r**2 + 52*m - 2*r**2 wrt r.\nAnswer: -2*m*r - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6*c + 51 = -5*c, -c = 3. Solve 3*m + 2*y = q, -4*m + 25 = 3*y - 0*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0 + 3*p - 1\/20*p**5 + p**3 + 1\/4*p**4 - 5\/2*p**2. Let c be m(4). Solve 4*f - 5 = d, 4*f - 20 = d + c*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = s, -2*g + 10*s - 16 = 15*s. Let x(k) be the first derivative of -5\/6*k**g - k - 1\/9*k**3 + 1\/12*k**4 - 2. Find j such that x(j) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 631968 and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52619 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 5*w - 2. Let n be v(3). Sort n, 0, 2 in descending order.\nAnswer: 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:38 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227018?\nAnswer: 2, 3, 13, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u**2 - 2*u**2 + 2*u**3 + 2*u**3 - 5*u**3 - 7*u + 7. What is the units digit of g(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(5)*-2 + 3)*-3 + 1 + sqrt(5)*-2*-3).\nAnswer: -24 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 60*w - 16*w - 324 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let b(w) = -5*w**2 + 2*w. Let q(u) = -b(u) - 2*g(u). Let v(i) be the first derivative of i**2 + 50. What is v(q(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - d + 2*d + 871 = 0, 3*v - 656 = -2*d. Suppose -194*w + i + 2030 = -191*w, -3*i = -12. Suppose 8*n - v = w. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047316259 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 224, -1\/4, -2.94, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 458577042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -270*q**5 + 16851*q**4\/2 + 14125*q**3\/2 - 6264*q**2 - 2846*q + 960 = 0.\nAnswer: -10\/9, -3\/5, 1\/4, 2\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/736 and 43\/4876.\nAnswer: 39008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 0.0786\nAnswer: -1.0218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 4)*(3 - 3 - 3*b).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 1 - -146 - 5 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-107490)\/(-1231374) - (-36)\/(-414). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00149859631 to five decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 264\/396*7\/(-2) + 4\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Suppose y*b - 21 = b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006702251364 rounded to 6 decimal places?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 5*k**4\/24 + k**3\/3 + 12*k**2 - 85. Give q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 381716*h**3*o - 1796*h*o + 36*h - 3*o + 71 wrt h.\nAnswer: -12*h**2 + 2290296*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 2960*p + 739032.\nAnswer: 2*(p + 318)*(p + 1162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**7\/840 - i**6\/60 + i**5\/10 - i**4\/6 + 12*i. Let m(x) be the third derivative of a(x). Factor m(c).\nAnswer: 3*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -474 or -947\/2?\nAnswer: -947\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018124 - 3090113.46.\nAnswer: -3090113.478124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*q + 14 = 4*q, 0 = -2*x + q + 2. Suppose -656 = -x*m - 24. List the prime factors of m.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - 17*p**2 + 10*p - 4*p**2.\nAnswer: -21*p**2 + 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + c = 17, -2*w + 6*c = c - 146041 + 146070 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/24 - f**3\/2 + 6*f**2 - 2. Let w(t) be the second derivative of x(t). What is w(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**8\/y*y)\/(y**(-3)*y))\/((y*y**4)\/(y\/y**(-8)*y))*(y\/(((y*y\/y**(-1\/4))\/y)\/y*y))**(-44)\/(y\/y**(2\/15)*y**6) assuming y is positive.\nAnswer: y**(302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2. Let b be (440\/(-2) + 2)*(-4)\/8. Let r(y) = b - 109 - 15*y**2. Calculate r(w(o)).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/10*f**2 + 0 + 1\/10*f**3 - 11*f.\nAnswer: f*(f - 5)*(f + 22)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4.7. Let v be (-10)\/5 + 7 + (-46)\/10. Which is the closest to v? (a) -2 (b) -4\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*q + 194*q + 200*q = -101*q + 1691 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) + (-978)\/(-6520). Put -1\/3, -0.06, x in decreasing order.\nAnswer: x, -0.06, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226042 (base 8) to base 3\nAnswer: 10220101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 868332 a multiple of 1076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 + 218*d - 1602. Let r(b) = 4*b**2. What is r(a(j))?\nAnswer: 4*j**4 + 1744*j**2 + 190096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l + l. Suppose -l = -p - 0. Let c(u) = 15*u - 1. Let d be c(1). Solve 4 - d = p*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 92 = -2*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(208)*-3 - (sqrt(208) + -1 + 2 - sqrt(208)))**2 + (sqrt(208)*2 + 2 + 5)**2*2.\nAnswer: 272*sqrt(13) + 9251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, 12, -26078 in ascending order.\nAnswer: -26078, -1\/4, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3\/6 - 2*n. Let v(t) be the second derivative of 0*t**2 + 35\/6*t**3 - 85*t + 0. Give b(v(o)).\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.1 - -7.1. Let h = -3 + 4. Which is the closest to 0? (a) h (b) y (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 22122221?\nAnswer: -22200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420)*5)\/(sqrt(90)*4 - sqrt(10)) + 2)**2.\nAnswer: 20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 5:00 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:38 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5 + (2 + 0 + 0)*(-4 + 0 + 2) + 0 + 1 - 3)*(-2*a**3 - 4*a**3 + 0*a**3).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 18. Let v(g) = -g + 6. Let t(p) = -6*c(p) - 17*v(p). What is the derivative of t(s) wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 13\/4. Let n = -88\/123 + 2\/41. What is the second smallest value in v, n, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2078610 rounded to the nearest one thousand?\nAnswer: -2079000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*m - 187*m = 0. Let b(y) be the third derivative of 1\/24*y**4 + 0 + m*y + 17*y**2 - 4\/3*y**3. Let p(j) = -j**2. Determine p(b(i)).\nAnswer: -i**2 + 16*i - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30\/253 - -10103\/2277. Let t = -16 + 40. Calculate the common denominator of 213\/t - 4\/2 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147288500 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: In base 12, what is -23a + 11b19?\nAnswer: 1189b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 3*j**4 - j**2 + 3*j**3 + 0*j**4 - 8*j**3 in the form t*j**2 + z*j**4 + s*j**3 + w*j + f and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**3 + v**2 - v - 1. Let h(p) = -4180 + 4173 + p**3 - 2*p - 5*p + 3*p**2. Let l be h(-3). Suppose 22 - l = -8*f. What is o(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*u, 0*u + 2*u = 2*k + 28. Let g be 138\/(-4)*4\/(-6). Let s = k + g. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/1620)\/((-28)\/7)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 7*g = 10. Suppose -16 = -2*v + 5*d - g, 0 = v - 4*d - 12. Let l = 85 + v. List the prime factors of l.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -26\/5*g**2 + 0 - 1\/15*g**4 - 28\/15*g**3 + 27*g. Factor c(w).\nAnswer: -4*(w + 1)*(w + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 22*y + 17. What is r(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a*h - a*j**2 + 9*a - 97*h**2*j**2 + 191*h**2 + 7972*j - 10 with respect to h.\nAnswer: 21*a - 194*h*j**2 + 382*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*d + 5 + 19, -5*z + 15 = 5*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/7 - 4*o**2\/7 - 10*o\/7 + 12\/7 = 0 for o.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/(l*l**(-6)*l))**37\/(l**(-8)*l**1)**(2\/83) assuming l is positive.\nAnswer: l**(33795\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -72. Let n = h + 35.999913. What is n rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1259*u**2 + 15135. Let n(q) = -2*q. Calculate a(n(o)).\nAnswer: -5036*o**2 + 15135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.07 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and (-600)\/(-13) + 36\/(-234)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2699 or 1746?\nAnswer: -2699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -36*m - 9. Let s be t(-16). Let x = -2819\/5 + s. What is the common denominator of x and (18\/(-40))\/(6\/(-35))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8658?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/14)\/(301\/(2191280\/(-7020))).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 40 = c. Let v(l) = -l**2 + 8*l + 20. Let m be v(c). Suppose 5*a = -m*a. Solve a = 5*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/45233 or 1?\nAnswer: -2\/45233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 27*s + 6 = 0. Let p be ((-2)\/4)\/(2\/(-20)). Solve v - s = -3*t, -2*v = -p*t - 5 + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -149, -185, -229?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/15920 and -51\/35024.\nAnswer: 175120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8598 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 + 2. Let q be u(-6). What is the closest to 2 in 5, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -57, 558, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/6*(-1 + 26\/24) and -32\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2289 or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -506*c**3 + 582. Let k(u) = -169*u**3 + 195. Let x be 8 - 5\/(5\/14). Let m(l) = x*d(l) + 17*k(l). What is the derivative of m(h) wrt h?\nAnswer: 489*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4452097 and -4452105 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 478\/8 - (-40)\/160 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-2 - 2*o + 2) + 5*o + 21*o + 39*o.\nAnswer: 67*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/9 and 61\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -460 or 31?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.7705 months to decades.\nAnswer: 0.3980875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3f656b (base 16) to base 5\nAnswer: 2030422411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 8*i + 2. Determine a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-376*a + 408*a + 1220*a)*(a - 3*a + a) + 1 - 2*a**2 - 6 + 2 in the form x*a**2 + n*a + y and give x.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 0.01. Let y = 0.36 + 0.04. Let h = -359\/6 + 60. What is the smallest value in a, y, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 187 = -23. Suppose 154 = 2*g - 4*q, 0 = 5*g - 2*q + 4*q - 421. What is the remainder when g is divided by f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -36, -41, -48, -57, -68?\n\"Answer: -n**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 15*s + 59. Is 15 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 3*g**5\/20 + g**4\/12 - g**3 - g**2\/2 - 10*g. What is the remainder when f(3) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77066630 to the nearest integer?\nAnswer: 8779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2245 divided by -196\nAnswer: 2245\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 3*p + 6*p)*(-2*p**3 - 3*p**3 + 3*p**3) + 7*p**4 - p**3 + p**3 + 2*p**4 - p**4 + p**4 to the form j*p**4 + q + o*p + l*p**2 + t*p**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*p**3 - 95*p**2 + 4167 wrt p.\nAnswer: -27*p**2 - 190*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356628623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 - m - 4 + 4 + 4 + 0*m**3. Let o be c(-2). Solve -x - 3*g = 0, 0 = o*x - 0*x - 5*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/3)\/a**(4\/3))\/((a*a\/(a\/(a\/((a**(-2)\/a)\/a*a))))\/a*a)**45 assuming a is positive.\nAnswer: a**(-228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22432 greater than or equal to 830039\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 7*s**2 + 6*s + 12. Let c(b) = -5*b**3 - 27*b**2 + 23*b + 49. Let p(l) = 2*c(l) - 9*n(l). What is the tens digit of p(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 3. Let h = 1 - 1. Let r be y(h). Suppose r*t - x - 65 = -t, 5*t + 3*x = 60. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2605*j = -5093*j + 1561*j - 1773*j + 664440 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 316?\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*m = 19, -3*m = -73*c + 70*c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -4.21, -3, -2\/3 in descending order.\nAnswer: 0.5, 0, -2\/3, -3, -4.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*m**2*z**3 - 35*m**2 - 8543*z**3 wrt m?\nAnswer: -106*m*z**3 - 70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 w when four letters picked without replacement from wwwhwwwwhhhwxhwx?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {q: 2, n: 5, u: 1, f: 1, l: 5, v: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i + 17. Let j(a) = 12*a - 26. Let x(d) = -8*b(d) - 5*j(d). Let k be x(-7). Let y = 57 + k. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39194275 or 39194274?\nAnswer: 39194275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from eerepkakraapp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, 215529 in descending order.\nAnswer: 215529, 20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w + 4. Let f be p(-3). Suppose 3*n = -2 + 11. Sort f, n, 2 in ascending order.\nAnswer: f, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 + 2*k**2 + 2*k - 2. Let y = 293 + -286. Let o be y - (-5)\/(5\/(-9)). Let v(f) = 9*f**3 + 7*f**2 + 7*f - 7. Determine o*v(s) + 7*l(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -187 divided by 498106\nAnswer: -187\/498106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91) - (sqrt(91)*2*5 - sqrt(91)))) + sqrt(91) + sqrt(91))*-2)\/(-4*(sqrt(7) - 3*(sqrt(7) + -1*sqrt(7)))).\nAnswer: 11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-24)\/(-11))\/(((-50)\/4125)\/(24\/90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-21)*-3)\/((-42)\/(-294))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((-10 + -1 - -8) + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (1 - 63)\/(-2). Calculate the highest common divisor of z and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08992 and 0.014?\nAnswer: 0.07592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let s(f) = 2*f**3 + 21*f**2 - 18*f - 19. Let b(c) = -s(c) - 5*w(c). Let i be b(-11). Is 1 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878106075.\nAnswer: 3, 5, 7, 11, 23, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1245 + -366. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3803 = 3*d + 1058, 0 = 3*u - d - 2075. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26185453771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/341102 and 17\/1193857.\nAnswer: 2387714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 7911281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from vmvmmlllvvlllg.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1854, 3696, 5572, 7500, 9498, 11584?\nAnswer: 13776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 + 79*b + 199*b + 3*b**2 to the form i*b + z*b**2 + r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332 + 335. Which is bigger: k or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*4)\/(-6*sqrt(40)\/sqrt(4))*5.\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (435\/204 - 3) + (-8355)\/(-11140)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 9*q + 2*q**2 + 42*q + 37*q - 2*q**2.\nAnswer: -2*q**2 + 88*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3300132 + 3?\nAnswer: -3300123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:37 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 293 and -2.947905.\nAnswer: 290.052095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 8*j + 15. Let v be t(6). Solve 0*w = -v*x + 5*w - 29, -8 = -2*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 71. Let u = -27 + f. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1*(-6)\/(-4). Let i(f) = f**3 + 11*f**2 + 11*f + 12. Let p be i(-10). Let q = -38.53 + 37.53. Which is the nearest to q? (a) 0 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1207840*h**2 - 605261*h wrt h.\nAnswer: -2415680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:49 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*k**3*p**2 + 231*k**3*p*y - k**2*p**2 - k**2*y + 3*k*p**2 - 12*k*p*y + 6*k*y wrt k.\nAnswer: -864*p**2 + 1386*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.54969 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, -28, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -37, -0.3, 4, 515, 21, 2\/11?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 8) + 0 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -10. Suppose 4*m = -5*w - 3 - 6, m = -1. Let s be 5\/6 - w\/(-3). What is the nearest to 0 in b, -1\/6, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22, 0.3, 5\/4, 0.1, 5591?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -2*v**5\/5 - 5*v**4\/12 - 87*v**2\/2 + 77*v. Differentiate b(s) with respect to s.\nAnswer: -24*s**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 40*j**2 + 7*j**2.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -650 - -720. Let s = q + -66. Solve 0 = -2*v - s*g - 2, 2*v - 5*g = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s - 5*h - 52 = 0, -h - 30 = -2*s. Let x be (0 + 4 - s)*3\/(-6). Let j = 17 + x. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85457 (base 12) in base 7?\nAnswer: 1326463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078624 to seven decimal places.\nAnswer: 0.0000786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 120 = -2*i. What is the remainder when 60 + 7 + ((-45)\/(-90))\/((-1)\/20) is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1087005 and 5490?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1778115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4\/5)*y)\/y)**(-28\/5)\/(y**(-1))**21)**(-2\/27) assuming y is positive.\nAnswer: y**(-1274\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 29*t + 29. Let b be c(22). Let a be b\/(-45) + (-2 - 1). Let p be (-2)\/(-12)*1*2. What is the closest to p in -3, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201550.\nAnswer: 2, 5, 7, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwcccnndbccwadcccc. What is prob of sequence ddbw?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*g - 4*q, 2*g + 2 = 4*q - 12. Suppose 0 = -g*d - 78 - 30. Find the common denominator of d and 84\/(-16) + 4 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 4*o - 1. Let l be x(3). Suppose 3*f = 4*f - l. Suppose w - w**3 - 3*w**5 + 4*w**f - w**3 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -17*t - 48. Is 2*(-6 + 2)*(-1226)\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1333 + -12e42?\nAnswer: -14175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 12*k**2 - 21*k + 9. Let i be a(-10). Let y(p) = 149*p - 46. Is y(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -822 - 801 + 9*d + 1456.\nAnswer: 9*d - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 10. Let i be b(5). Suppose -2*c + i = c. Solve -5*s + 0 = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7059 is divided by 2963?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-81) + 205\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 6*z**3 - 7*z**2.\nAnswer: z**2*(z - 7)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 20*h - 98. Let g be v(-8). Let k(y) = -6*y - 2. Let s be k(-2). Is (-10278)\/(-90) + g\/s a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115, 276, 497, 772, 1095?\n\"Answer: -q**3 + 36*q**2 + 60*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131148303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 274. Does 3 divide y\/(-12)*(-3)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -895*d**5 - 147*d - 3 + 7489*d**3 - 106*d - 1 - 7489*d**3 wrt d.\nAnswer: -17900*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194 is divided by 532?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 40\/3. Let o = -51\/2 + 26. Let u = 1\/16 - -43\/80. Put u, o, t in decreasing order.\nAnswer: u, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:28 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1415?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 2*b - 0, -4*q - 10 = -5*b. Suppose 4*a - 4*r = 84, 3*r - 18 = -b*a + 14. Suppose -194*n = 32*n + 904. Sort -1, n, a in decreasing order.\nAnswer: a, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvy when three letters picked without replacement from vnyyynynvynyy.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from ollvwwolvlomoovolwo.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26\/5 of a millisecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 7*z**2 + 13*z - 7. Let q be o(10). Let k = q + 205. Calculate the least common multiple of 10 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 divided by -1000?\nAnswer: -261\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/9)\/h*h*h\/h**(-7)*(h*h*(h\/h**1)\/h)\/(h\/(h*h\/h**6)) assuming h is positive.\nAnswer: h**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 72*v**2 + 13*v + 39. Is o(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14149 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49087, 49090, 49093, 49096, 49099, 49102?\nAnswer: 49105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = -w - 910. Let b be w + 30\/6 + 4. Let h(r) = -r**2 + r - 1. Let o(c) = 8*c**2 - 5*c + 6. Give b*o(d) - 6*h(d).\nAnswer: -2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 5. Suppose -j + 36 = -4*d. Let z = d - -7. Solve 3*q - 7 + z = p, -8 = 4*p + 4*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 2*v**2 + v - 1. Let y be q(-2). Suppose 9*s = 8*s + 4. Let c(l) = -8 + 11 - 4*l - s - 3*l**2. Calculate c(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 13*k = -4*g + 6, -4*g + 12 = 4*k. Suppose 5*y - 6*y - 5*j = -15, k*j + 2 = -2*y. Which is the closest to -0.1? (a) 1\/3 (b) 0.1 (c) -2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*l - 4 = 185*l. Let b(p) = 21 + p**l - p**3 + 36 - 46. Let f(m) = -m**2 + 4*m - 3. Let r be f(3). Calculate b(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Let w = y - 0. Solve -21 + w = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b + 5*r, -4*r + r + 16 = 5*b. Sort -1, b, 3 in descending order.\nAnswer: 3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(7 - (0 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896088 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {a: 3, b: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8598 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(15*53\/(-1590))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from {k: 3, t: 1, v: 3, i: 6, w: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 148?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -22*f. Let b(i) = -780*i - 2353. Give b(n(g)).\nAnswer: 17160*g - 2353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/8 - 7*m**3\/6 - 7*m**2. What is the units digit of a(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 0.1458897940095.\nAnswer: -0.0858897940095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3360 = 6*l - 3*b, -3364 = -3*l + b. What is the remainder when l is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -952\/431 or -3?\nAnswer: -952\/431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by -653929.\nAnswer: -232\/653929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a. Suppose -5*d - 2*b + 49 - 1 = a, -3*d = 4*b - 26. Suppose 3*r + 4 = d. Calculate the least common multiple of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + m + 162, 320 = 4*i - 4*m. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(2448))**2.\nAnswer: 360*sqrt(17) + 22057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -8. Let o be (-1)\/(12\/8 - n). Let u be (-3)\/(-126)*o*-6. Which is smaller: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -100001?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - r + 35 - r + 238 + 22 to b*r + h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzozoozxzzzzpzxozpz. What is prob of picking 3 o?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.151 * 3.\nAnswer: 0.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2515, -3, 3, 0, -5, 5, -2096 in decreasing order.\nAnswer: 5, 3, 0, -3, -5, -2096, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -64. Suppose 9*v = s*v - 10. What is f in f**v + 15 - 2*f + 35*f + 20*f**2 + 3*f**3 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 u when four letters picked without replacement from {u: 5, i: 2, s: 8}.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*t + 10, 2925 = 3*x + 2*t + 2927 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*((((q**(-1)*q)\/q)\/q)\/q)\/q*q*q\/(q*q\/(q*q**(-18\/11)\/q)) assuming q is positive.\nAnswer: q**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1. Let n(j) = -j + 3. Let p = 5 - -1. Suppose i + i = -4. Let h(c) = i*n(c) + p*t(c). Give h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 - 4*s - 1. Let t be x(2). Suppose 0 = -t*u - 187 + 47. Find the common denominator of -109\/10 and 166\/u + 50\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14266696 divided by -5\nAnswer: 14266696\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*g - 0*g + 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let s = -0.4 + 0.1. Let m = -29.87 + 26.87. Which is the nearest to p? (a) s (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + p - 50 = 9, 5*z = 3*z - 2*p + 22 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9419588, -9419585, -9419582, -9419579, -9419576, -9419573?\nAnswer: -9419570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -35. Suppose -n - 5*l + 12 = v, -3*l = -n - 0*n - 4. Let b(f) = 35*f - 7. Calculate the remainder when b(n) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -699.72 - -4.582.\nAnswer: -695.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((777\/(-77))\/37)\/3.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155 by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l - 6. Let n be l\/(-3 + 3 + 1). Let z be (8\/(-12))\/(n\/3). Solve w - 3 = -z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 25*p**3 + 1 + 0*p**4 - 27*p**3 - p**2 - 2*p to c*p + i*p**4 + q*p**2 + g*p**3 + f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*h - 112*h + 321 = -339*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*y - 2, -70*y + 66*y + 8 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1236763\/74 smaller than -16714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m = -167 + 65 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 27615, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = 9. Let n(b) be the third derivative of 0 - b**2 + 1\/3*b**4 + 3\/4*b**6 + 4\/5*b**5 + o*b**3 + 0*b + 5\/21*b**7. Find s, given that n(s) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/(-14))\/(9\/((-315)\/10)). Let m(n) = 2*n**2 - 16*n + 24. What is the tens digit of m(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - 2 - (-5 + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {x: 15, e: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*g - 3 = 0, 0 = -4*g + g + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*d - 26, -g + 3744*d = 3746*d - 5 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Suppose -i - 12 = -5*s, -5*s - 2*i = -4*i - 9. Let h be (-3 - (-6 + s))*1. Solve h = 5*p + b - 16, 2*p + b - j = -0*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125725707*k = -125725741*k + 1496 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 8:50 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 927*g**2 - 25195*g + 158. Give o(-29).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97287760*d**2 + 527433828?\nAnswer: -194575520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 = 135*m - 158*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4 (b) 2 (c) 1\/6 (d) 747 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62456299*m + 158449577?\nAnswer: -62456299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023 - -112103?\nAnswer: 121132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2330857\/100 - 23309. Find the common denominator of -13\/6 and u.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let z(h) = 27*h - 4. Let s(n) be the first derivative of -217*n**2\/2 + 31*n - 8. Let r(k) = -4*s(k) - 31*z(k). Give r(x(o)).\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3889031 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4498 is divided by 387?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/(88\/330).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {p: 2, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*j + 17 + 7, 5*f = -5*j - 40. Which is the closest to -0.1? (a) 1 (b) 11 (c) 0.5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01512 - -0.31512. Let n = 8 + -8.3. Let v = -0.1 - n. Which is the nearest to -0.4? (a) v (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.064 + -93.836. What is a rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50307785 and -0.1?\nAnswer: 5030778.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13179 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -60755 at least as big as -60755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((2 + -3)*-3). What is the fourth biggest value in -2\/7, 9\/2, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/529 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**2\/17 + 1141198*t\/17 + 53640724\/17 = 0?\nAnswer: -47, 570646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3\/4 - 85*w**2\/4 - 7073*w\/4 - 6987\/4 = 0?\nAnswer: -51, -1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 43 + 2*z - 43 + 23*z**2. What is the hundreds digit of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -48, -39?\n\"Answer: 9*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 - -239. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700797583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -66. Suppose 0 = d*b - 19*b + 1010. What are the prime factors of b?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 5, 11 in increasing order.\nAnswer: 3, 5, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/29? (a) 8 (b) -4 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3262?\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377081 (base 9) in base 8?\nAnswer: 2713613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2191 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let u(t) = 2*t. Let p be u(1). Which is the second biggest value? (a) p (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - -1*sqrt(4536))\/(sqrt(8) - 4*3*sqrt(8)).\nAnswer: -10*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532, -2155, -4854, -8623, -13456, -19347, -26290?\nAnswer: -34279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118 (base 10) to base 14.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5407814 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.88948 rounded to 2 dps?\nAnswer: -23.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10624, -10173, -8940, -6535, -2568, 3351?\n\"Answer: 65*z**3 + z**2 - 7*z - 10683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-1*(-3)\/51) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 4 (c) 3 (d) 47715\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)\/l**(1\/2))\/((l*(l*(l\/(l**(-5)\/l))\/l)\/l)\/l**4)*(l**2)**(2\/59)*(l**(-5)*l*l)\/l*l\/(l**8\/l) assuming l is positive.\nAnswer: l**(-1231\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -0.15 (c) -139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -0.58. Let u = o - -88.19. Let m = -89 + u. Which is smaller: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/105 and 57\/49?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -370. Suppose -f + 66 = -2*k, -4*f - 5*k + 0 = -s. Suppose 5*b - f = i, -4*i = -b - i + 16. What is the highest common factor of 117 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 - r**4\/3 - r**3\/3 + r. Suppose 0 = -3*y + v + 3, 6*y = 3*y + 2*v. Suppose -y*d = 3*d + 15. Calculate p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5512 and 652483.\nAnswer: 5219864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 7*r + 6 + 6*r. Let t(g) = 6*g + 5. Let y(b) = -5*i(b) + 6*t(b). Let v(z) = -5*z**2. Calculate v(y(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/64890630 and -16\/2163021.\nAnswer: 64890630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416363 is divided by 14270.\nAnswer: 2533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 26.71467, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2841)\/145838*(-7)\/2*-1*4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -19, -5, -16.\nAnswer: -19, -16, -5, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1076, 1957, 3410, 5429, 8008, 11141?\n\"Answer: -g**3 + 292*g**2 + 12*g + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 29.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/137737428 and -53\/117.\nAnswer: 5371759692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49846928?\nAnswer: 2, 67, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -698.21672 and 0.4.\nAnswer: -279.286688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1714 - 1770 + 5322 + w**2 - 1743 + w**2.\nAnswer: 2*w**2 + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 4716769891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/10 - 7*s**4\/3 + 87*s - 3. Find d such that z(d) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 502*t**3 + 9619*t**2 + 10122*t.\nAnswer: t*(t - 482)*(t - 21)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 508.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 31*w - 18*w + 256 + 82, -14 = -2*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 5. Let o be f(5). Solve j - 4*j + 5*m = 0, o = j + 3*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-52)\/(-18))\/(-13) + (-515)\/(-9). Suppose 3*s = -2*i + 101, 5*i + 4*s - 98 = 3*i. Let n = 93 - i. What is the greatest common factor of n and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 311*y**5 - 7*y**4 + 2*y**3 - 12559*y?\nAnswer: 6220*y**3 - 84*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 1. Let l = 3 + 1. Suppose -5*t = -l*t + 4. Let a(s) = -s**3 - 4*s**2 + s. Let x be a(t). Let g(p) = -p - 1. Determine x*d(b) - 5*g(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - 12\/(-420)*15\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10411 (base 5) to base 13\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20895403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.1. Let s = t - 0.1. Let m = s + -0.2. Which is the third biggest value? (a) 2 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 61, -2, -91?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + -153. Let p be (1*-2)\/(2\/33). Let m = d - p. Let x(t) = t - 5. Give x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*2 - sqrt(60)\/(sqrt(4) - -3*sqrt(4)))\/(sqrt(5) - (-2*sqrt(40))\/sqrt(8) - (-2*sqrt(405) + sqrt(405))).\nAnswer: 79*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -317*c + 4218451 - 42399 + 761857. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23186492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 93. Let t(i) = 2*i + 5435. Determine t(h(l)).\nAnswer: 2*l + 5621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - (5 + -4)) + -2 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 10*f**3\/3 - 172. Let m(k) = -30*k. Determine x(m(p)).\nAnswer: 9000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c - 2*r = 300, 5*c = -r - 381. Let h = c + 84. Suppose -y = -h - 3. Solve -3*d = -d + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-106 - (21 - 128)) + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.064 - -3.936. What is the nearest to 0.06 in -2\/5, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.13, 160953\/61, -3?\nAnswer: 160953\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11080.56 and 854.\nAnswer: 9462798.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/5315832 and -127\/14175552.\nAnswer: 42526656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.4 minus -33865?\nAnswer: 33888.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**41*m*m*m*m*m**(-15)*m*m assuming m is positive.\nAnswer: m**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1815 and 9823935?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7876024 micrometers to nanometers.\nAnswer: 787.6024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 6*f - 30. Let q be p(-11). What is the derivative of -924*t**3 - q + 459*t**3 + 465*t**3 + 240*t**4 wrt t?\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -3*u**3 - 6. Let t(q) = -2*q. What is w(t(h))?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 6. Give u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 436 and 3052?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 846\/(-18189) + 274\/344. Put 2\/5, 24, -0.2, d, 2\/327 in increasing order.\nAnswer: -0.2, 2\/327, 2\/5, d, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 5*k**6\/2 - 99*k**5\/5 - 3*k**4 + 144*k**3 - 96*k**2 - 144*k - 2233. Find a such that m(a) = 0.\nAnswer: -2, -2\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:25 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/42202 and -5\/2.\nAnswer: 42202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 + -0.6. Which is the nearest to 0.2? (a) 4 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/45764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 x when three letters picked without replacement from {q: 4, o: 2, x: 6, w: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20362\/7 or -2909?\nAnswer: -20362\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**8\/420 - 2*r**7\/175 - r**6\/50 - r**5\/75 - 6*r**2. Find p such that c(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, l: 2, e: 4}. What is prob of sequence hlle?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(6000))\/(sqrt(3) + sqrt(18)\/sqrt(6)*-5))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2817, 5511, 8301, 11235, 14361?\nAnswer: 17727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133353101 + -100?\nAnswer: 133353001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 410 and 3458965?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/14 and ((-7)\/(35\/2))\/((-728)\/(-195))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/55 (b) -2\/7 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d**2 - 399*d + 52. Let g be s(-50). Let v = 0.8 + -1. Which is the third biggest value? (a) g (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**2 - 1. Let a(w) = 7*w**2 + 1. Let f(z) = -5*a(z) - 6*o(z). Give f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4510*p = 4260*p - 334 - 1530 - 886 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let u(z) = z**3 + 2*z**2 + z + 1. Let p be u(t). Let a = -4 - p. What is the remainder when 19 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63347\/6276 - -16\/1569. Calculate the common denominator of s and 119\/(-54) + 2\/(-6).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011478 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 - (-320)\/30. Calculate the greatest common divisor of 30 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12851 (base 9) to base 16.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y)*(3 + 2*y - 3) - 5*y**2 - 6*y + 6*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:28 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84085931 by 84085931.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - 13*u. Let o(v) = -5*v**2 - 14*v. Determine 6*o(c) - 7*p(c).\nAnswer: -2*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311, -70, -705, -1588, -2713, -4074?\nAnswer: -5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - 1.86675715?\nAnswer: -118.86675715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13600 divided by 8?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*2)*3 + (sqrt(143)*-3 + sqrt(143))*5)\/(sqrt(132)\/(sqrt(72)\/(sqrt(6) - (sqrt(6) - sqrt(486))))).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042961 + 461527 = -4*u. Let w be (-15)\/(-48)*u\/(-10). Let h = -11758 + w. What is the common denominator of h and -81\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189 + -188.8. Put u, -3\/5, 0.35, -3 in decreasing order.\nAnswer: 0.35, u, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4115ab (base 12) to base 13\nAnswer: 298862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -214?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 664185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/30 + 3)*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*u = 1077*u - 3*m - 1, u - 519*m = 6*u - 521*m - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(34)\/sqrt(2))**2)*5.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 + 125. Suppose -i + u + 62 = 0. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/41 and 69\/574?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4390109 grams in nanograms?\nAnswer: 439010900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:11 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102928161 and 4894?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4053 - 11*z**2 + 2809 + 1244 + 11*z**2 - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45289391 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**6\/5 + x**5 + 17*x**4\/6 - 16*x**3 - 36*x**2 - 46*x. Determine t, given that i(t) = 0.\nAnswer: -2, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10940720671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(459)*-1)\/(sqrt(96)\/sqrt(2) - ((sqrt(300) + 2*sqrt(300) + sqrt(300) - sqrt(300)) + sqrt(300))))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -46070*q - 36 + 241 + 46055*q + 247 in the form a + y*q and give a.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/588112815 and -38?\nAnswer: 588112815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(33)\/(1*sqrt(3)) - (sqrt(1100)*1 - sqrt(11))).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/12 - 0)\/(6\/(-20)). Suppose -4*g = -0*g - j*g. Let i(m) = -11*m + 9*m + g - 1. Give i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z**2 - 14*z**2 - 13*z**2. Let r(w) = 2*w. Give r(t(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/10)\/9*-6 - -12. What is the derivative of 3*a + 24 - q - 7*a**2 + 10 wrt a?\nAnswer: -14*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 9903074?\nAnswer: 9903074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2451452?\nAnswer: 2, 241, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4\/4 + 10*i**3\/3 + i**2\/2 + 12*i - 4. Calculate the lowest common multiple of c(-10) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 13*s**2 - 12*s + 10. What is the smallest common multiple of i(12) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175a24 (base 13) to base 3.\nAnswer: -1002122222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 28*b**2 + 26*b - 99. Let r be d(-29). Let c(q) = 6*q**2 + 17*q + 69. Does 46 divide c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(650\/(-25))\/(-52)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + x = 14, 3*c = -4*x + 10. Let z(l) = -l**2 - 5*l - 2. Let q be z(-3). Suppose q*r + 3 = -5. Is r at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21116687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsbr when four letters picked without replacement from rbbbsrb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21\/16, 10 in descending order.\nAnswer: 10, 21\/16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324030\/(-4200) + 77)*14\/3.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13440*o - 13475*o + 63 = l, o - 3*l - 23 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.307 - -2.365. Which is the closest to -2\/7? (a) -2\/9 (b) o (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4561815.\nAnswer: 3, 5, 179, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -11*h**4\/12 - 11*h**2\/2 - h. Let i(b) = 7*b**2 + 7. Let v be (16\/(-7))\/(116\/(-406)). What is v*i(c) + 5*y(c)?\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6 - 7 - 3*y)*(0*y - y + 2*y).\nAnswer: -3*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -104, -105, -106, -107, -108?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253597373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/11245 + 4496\/11245. Let i = 5.2 - 0.2. Let p = -839\/5 - -167. Which is the closest to j? (a) 1\/2 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2788, 2839, 2892, 2947?\n\"Answer: i**2 + 48*i + 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44112 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3, 8 in descending order.\nAnswer: 8, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - -306210?\nAnswer: 306242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 673425 a multiple of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1726*z. Let r(l) = -3*l + 1. Determine r(u(m)).\nAnswer: -5178*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 6*p + 0*p - 19 + 23 + 0*p.\nAnswer: 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kck when three letters picked without replacement from iiciccckkccc.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 193254 (base 12) to base 15\nAnswer: 8a9e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13242?\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*z - 397*z + 179*z.\nAnswer: -408*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (176 - 147 + 378)*(0 + 12 + 5)*(-3 + 2*w + 3)*(2*w + 4 - 4) in the form r + y*w**2 + b*w and give y.\nAnswer: 27676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 14 = w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.599973 - 0.6. Round z to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 0.2. Let w = 30.395 - 30.7. Let n = w - -0.605. Put -4, n, a in decreasing order.\nAnswer: n, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-117)\/6*(0 + -2). Let q = 38 - b. Let x(p) = 5*p**3 - 2*p**2 + 1. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -2*x**7\/7 + x**6\/3 + 3*x**3 + 4*x - 52. Find the third derivative of l(n) wrt n.\nAnswer: -240*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183*g**3 + 92*g**2 wrt g?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3 (c) 2 (d) 1 (e) -45 (f) 1150 (g) 4\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/(g\/(g\/((g*g\/(g\/(g*g*g\/((g\/(g*g**(-3\/5)*g*g))\/g)))*g)\/g*g*g))))**(-21\/2) assuming g is positive.\nAnswer: g**(336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(78) - (-1*sqrt(78)*-1 - sqrt(78)))\/((-1*sqrt(576) + sqrt(576) - sqrt(576))\/(2*sqrt(486) - sqrt(6))).\nAnswer: -85*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2724*z - 19162. Calculate j(7).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 3 + (-6*sqrt(180)*-2 - 6*((sqrt(180)*-2 - sqrt(180)) + sqrt(180)))))**2.\nAnswer: 2592000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.55884 millimeters in nanometers?\nAnswer: 5558840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5842 + 1973 = -15*d. Let k = 526 + d. Solve -1 = 2*q - p, 4*q + 0*p - p + k = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2594592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p**3 + 0*p**4 - 3\/2*p**2 + 0*p - 1 - 1\/5*p**5. What is the second derivative of l(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 825670690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/10)\/(4\/(-10)). Let o = -8 - -7. Which is the second smallest value? (a) s (b) o (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-336)\/(-54) + -17 + 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17b18 (base 14) to base 11\nAnswer: -40a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -201 (b) 3 (c) -2\/13 (d) -0.5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 8*x**2 - 6*x**2 to the form k + b*x + r*x**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*f**4 - 26*f - 89*f**4 - 5*f**2 - 4 + 30*f to x*f**4 + d*f**3 + t + r*f**2 + i*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q = 8*q + 1840. Suppose 7 = 5*a + 4*b, -5*a + b + 0 = -17. Suppose -d + q = a*d. Solve n = -3*n - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 11711?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -242, -364?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {c: 1, x: 4, v: 1, l: 11}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 1062 = 2*w - 51*j, 0 = -4*w + 4*j + 2148. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/5 - 720338*g\/5 - 129721708561\/5 = 0. Calculate g.\nAnswer: -360169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.1 - 38.1. Which is the nearest to -2\/3? (a) -9.4 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 20. What is the remainder when (-3 - -5)\/(k\/34) is divided by (-46)\/(-8) - (-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 3*y - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 860690104 to the power of 1\/3, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 68*d**2 + 1875*d - 89. Determine f(21).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (73 - -1)*(-12 + 17)*6\/4. Calculate the highest common divisor of 105 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -6*x - 42. Let j be 0\/(-3 + -1 + x). Solve j = -z - 4*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 16. Suppose -5*q + 3*a + 9 + 16 = 0, 2*q - 3*a = 19. Suppose -2 = 2*h, -q*m - 3*h + 5 = 2*h. What is the least common multiple of j(m) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 25. Let b be f(-11). Solve 3*a - a = -5*g - 10, 0 = -4*g - 5*a - b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26668707943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2 + 10 - 6)*(-w**2 - w + w).\nAnswer: 3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 4*r + 2. Let t be j(2). Suppose 3*b - 5*w = 3 - t, -5*w = -4*b + 3. What is the smallest common multiple of b and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10368.19422 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 at most -100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*g - 92, 30*g + 120 = 2*u + 24*g - 49*g for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h - 64. What is the lowest common multiple of (-2)\/3 + 336\/18 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**4\/4 - 7*g**3\/12 - g**2\/4 + g\/4 + 8. Let x(n) = 0. Calculate n.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.4, -2, -0.3, -1\/29, 16?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 0*k**4 + k**4)*(8 + 78*k - 7 - 14*k).\nAnswer: 64*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*g - 78 = 0, -4*g + 62 - 10 = 2*d. Let n(l) = l**3 - 26*l**2 - 3*l + 77. Let y be n(d). Which is the third biggest value? (a) 0.4 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 79*s**2 + 521 - s + 3*s.\nAnswer: -79*s**2 + 521","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y + 2*y)*(5*y - 2*y - y)*(0 - 7 + 2) to o + i*y + g*y**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*v - 38*a**3 + 3*a*v**2 - 3*a - 83*v**3 wrt v?\nAnswer: a**3 + 6*a*v - 249*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -566\/187 + 32\/11. Let s = -1508 - -1511. What is the second smallest value in 0.1, p, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 4. Let q(s) = -21*s**2 - 7*s + 26. Give -6*c(b) + q(b).\nAnswer: -21*b**2 + 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 4 (c) -1\/6 (d) -2\/27 (e) -331 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/3 - 5684*d**2\/3 - 8076964*d\/3 = 0?\nAnswer: -2842, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -23*r**5\/20 + 5*r**4\/3 - 19*r. Find the third derivative of w(n) wrt n.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 1. Suppose 12 = -7*r + 11*r. Let v(q) = 5*q - 2. Determine r*g(h) - v(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*b - 17397. Suppose -4*r + r = 2*j + 8698, 2*r + j = -b. Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2\/8 - 1714911*q\/4 - 980306579307\/8 = 0. Calculate q.\nAnswer: -571637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 946 and 11373070.\nAnswer: 125103770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 284392391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/(-4))\/((-6)\/312). Let s = -534 + r. Solve 2 = 5*b + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221202122201 (base 3) to base 5.\nAnswer: 400220030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1547 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -24 (c) -10\/43 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8427 + 8691. Calculate the least common multiple of h and 330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)*(-2 + 4). Suppose 0 = 2*a - 2*x - 196, 0*x = h*x + 2. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**6\/l)**(-24))**(-1\/33))**(4\/23) assuming l is positive.\nAnswer: l**(160\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 17. Sort 6, 0, a in descending order.\nAnswer: 6, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2715?\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:50 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*n - 73, -2*n + 0*n - 4*j + 26 = 0. Let z = 6 - n. Let u = z - -16. Put -5, u, 4 in increasing order.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*p = 61, -95 = -3*h - 8*p + 4*p. Let x = 38 - h. Suppose x*g - 10*g + 55 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 787 + -765. Solve 49 - 5 = -s*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*m + 14 = 3*q, q = m + 26. Suppose 3*j = -9 - q. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 14*a**3 - a**3 - 15*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*((-9)\/18*-40 - -12).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let o be t(-3). Let v be -5*(o\/(-1) - 4). Suppose -p - v = -5*l, -71 = -0*p - 5*p + l. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(((-7920)\/520)\/(-3))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v + 344*v**3 + 26446 + 81*v**3 - 26444 - 130*v wrt v?\nAnswer: 2550*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114664.529 rounded to the nearest one thousand?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9568680 is divided by 19770.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6498*c - 2446*c**3 + 6498*c)*(c + c + 0*c) - 5*c**3 + 5*c**3 + c**4.\nAnswer: -4891*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 1.61.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 1111?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-124) - (-1 + (-34)\/(-24))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4334003 - -2?\nAnswer: -4334001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32930000 times -15\nAnswer: 493950000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*5250\/(-250).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -2. Let r = i - -18. Solve -r = -b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 3}. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2bd + 6?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 5245 = -32*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = h + 2, 8 = 4*h - 4. Which is bigger: -9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 100*z**2 - 604*z + 1020.\nAnswer: -4*(z - 17)*(z - 5)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2363 and -496513.2?\nAnswer: 494150.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/11 - 70*k**4\/11 + 260*k**3\/11 - 380*k**2\/11 + 250*k\/11 - 62\/11.\nAnswer: 2*(k - 31)*(k - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8*c**(-4))\/(c*c*c\/((c**(3\/4)*c)\/c*c)*c*c**4*c) assuming c is positive.\nAnswer: c**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -365040 (base 9) to base 4.\nAnswer: -311300202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - z + 2*z, 6 = 5*i - z. What is the second biggest value in i, 51, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317 + -312. Suppose -4*v - q*v + 6642 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3779 = -12*i + 3891 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(220))\/(sqrt(5) + sqrt(245)*4) - ((sqrt(88) - 3*(sqrt(88) + (sqrt(88) - (-3*sqrt(88) - sqrt(88))))) + sqrt(88))\/(sqrt(8) + sqrt(72)*4).\nAnswer: 542*sqrt(11)\/377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 225452*q**3 + 30614?\nAnswer: 676356*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -2266?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 0*q - 6*q)*(4 - 4 + 2) + (7*q + 10 - 5 + 12)*(2 - 1 + 0) to the form z + s*q and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3907 - -5196. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, -1\/2, -15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 11. Let p(z) = -z**3 - 3*z**2 + 10*z + 3. Let q be p(-5). Does 6 divide m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*o - 5*z - 55, 3*o = 7*z - 49997 + 50031 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 425 + -395. What is the highest common divisor of r and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 55\/(-10))*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2969, -11647, -26123, -46403, -72493, -104399, -142127?\n\"Answer: -h**3 - 2893*h**2 + 8*h - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 429 - 437. Is -1\/5 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34248680 and 0.4.\nAnswer: -13699472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1870*s**3 - 93*s**3 - 2*s + 2*s.\nAnswer: 1777*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2*-2 - 30\/(-30). Let q(c) = -20*c - 62. Let z be q(f). What is the nearest to 0 in z, -4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 5. Let d = 1010\/7 - 144. What is the third biggest value in -1, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24572383?\nAnswer: 11, 271, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 11 - (34 - 27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009915 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -170 and -1042.\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**3 - 665*x**2 + 7800*x = 0.\nAnswer: 0, 13, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + (-20 - 17) - -16.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*a**2 - 36*a + 5?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4610 - 2841*t**4 + 3243*t**4 + 3123*t**4 with respect to t.\nAnswer: 14100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -9)*(-6 + (-2728)\/(-208) + 1 + -8)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2 + 1, 0 = -5*a + 2*x + 28. Let k be -1 - 5*(-2)\/a. Let n = -297\/4 - -75. What is the closest to -2\/7 in 0.2, k, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267709600*b**4 - 35880*b + 973.\nAnswer: -3212515200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a + 2*f + 324 = 0, 21*f - 5*f - 14*f = -a + 12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.1544196 to three decimal places.\nAnswer: -13.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 3*d. Suppose 5*t - 10 = -0*t. Let o(w) = -3*w**2 + 2*w - 1. Let q(k) = 4*k**2 - 3*k + 2. Determine d*o(u) + t*q(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.04, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.443256 years in centuries?\nAnswer: 0.01443256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*f - 3, -3*y + 4*y = 5*f - 5. Let d = y - -1. Is 14 a factor of 27\/(2\/2)*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**2 + 8. Let i(l) = l. What is 10*i(s) - 4*o(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + 108. Let f = 334855 + -334806. What is the remainder when h is divided by f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*-1*-2*sqrt(33))\/(sqrt(36)\/((sqrt(60)*4)\/sqrt(5))).\nAnswer: 3 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -715 - 2*u**4 - 5*u**3 + 3*u**4 + 716 - 7*u**2 to x*u**2 + y*u**4 + n*u + c + b*u**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -429*v**3 + 765*v**2 - 12*v - 6. Let q(r) = -430*r**3 + 764*r**2 - 10*r - 5. Let b(k) = -5*d(k) + 6*q(k). What is the third derivative of b(l) wrt l?\nAnswer: -2610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527565 minus -0.008566?\nAnswer: 527565.008566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*-2*sqrt(320)*-1)**2.\nAnswer: 20480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xawib. What is prob of sequence ab?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 789827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:32 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4111 = 235*m + 1529 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19.269 from -3.\nAnswer: -22.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 11*b**2 - 6*b + 1. Let q(h) be the third derivative of -h**5\/60 - 544*h**2 + 4. Determine -2*a(k) - 22*q(k).\nAnswer: 2*k**3 + 12*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r + 102888 = -50*r. Suppose 9*h = 480 + r. What are the prime factors of h?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16095096 and 72?\nAnswer: 16095096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + 4254*t**2 + 1839*t + 307483. Determine y(1064).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2*-1 - -3) + (227 - -8022)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = c, -40 = 5*c + 3*u - 8. Let n = c + 3. Let b be 2*1\/(2 - 4). Is b greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 46*m**2 - 46*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x - 46. Let b be o(5). Let p be (13\/(455\/30270))\/((-51)\/b). Let f = -2136 + p. Find the common denominator of -34\/5 and f.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18712 + -19199.9296. Let t = u - -488. Round t to 3 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 236?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6421 + 6120.1. Let u = -301 - m. Which is the smallest value? (a) 0.02 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23246*c + 7739*c + 7750*c = -7740*c - 2040 for c.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-30)\/(10 + -5). Which is bigger: k or -9\/10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/7))**27\/(t**(-2\/3))**15 assuming t is positive.\nAnswer: t**(205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -m + 5711, 5*v - 5699 = -36*m + 32*m. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -8 - (44 + -27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/20 + ((-253)\/1150 - 12\/150).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, c: 2, b: 8}. Give prob of sequence cic.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 15*h - 6. Let p(v) = v**3 + 17*v**2 + 17*v + 18. Let m be p(-16). Is k(m) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 1334. Let z(y) = 4*y - 2659. Give -5*p(n) - 2*z(n).\nAnswer: 2*n - 1352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 536912.9 weeks in minutes?\nAnswer: 5412082032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/3 (c) 1\/2 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {p: 1, u: 9, w: 7, s: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) 81 (d) -0.241 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/7 + 104*t**3\/7 + 310*t**2\/7 - 28184*t\/7 - 4056 = 0?\nAnswer: -39, -26, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/157 - 3401\/4082. Find the common denominator of k and -7\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, -4\/11, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7472, -29889, -67252, -119561, -186816, -269017, -366164?\nAnswer: -478257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/383 and 32\/9.\nAnswer: 3447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -137005, 4, -2, 2 in decreasing order.\nAnswer: 4, 2, 1, -2, -5, -137005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -7*o + 136. What is the tens digit of 6692\/12 - o*4\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 14*a + 12.\nAnswer: 2*(a - 6)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/19*d + 2\/19 + 2\/19*d**2.\nAnswer: 2*(d - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(4)*-6)\/((sqrt(99)*-1)\/sqrt(11)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31196 is divided by 14973.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281120, -281120, -281114, -281108, -281108, -281120?\nAnswer: -281150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -190298 + 190347 - m + 3*m as d*m + b and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9*l - 136 = 0. Let n = -3 + 7. Suppose -b + 3*b - 132 = -o, 2*o = n*b - 256. What is the remainder when b is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 532 = -3*h + 520, 2*s - 5*h = 3*s - 28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 6 - g + 6 - g to the form r + p*g and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -235 * -0.5.\nAnswer: 117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25906 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2584?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13780 = -18*o - 88*o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(4 + (-135)\/36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -100, -2\/3, -1\/24 in increasing order.\nAnswer: -100, -2\/3, -1\/24, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t, -6*t + 11*t + 5 = 3*y. Solve y = -10*q - 2*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/(-2)*(-2)\/(-54). Let h be ((-39)\/(-243))\/((-15)\/(-21)). Let k = y + h. Is k less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f - 57. Let i be g(-5). Is i\/36 + (-2390)\/(-18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - (-42 + (81 - 44))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2728 or 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 - 148. What are the prime factors of v?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 7*o**2 + 3*o + 35. Suppose -535 = -4*k - 563. Let b be j(k). Calculate the greatest common factor of b and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*t - 111*t + 14 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/9)*c*c*c**(-1\/16)\/c assuming c is positive.\nAnswer: c**(103\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004587 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839929 is divided by 1532.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1174838338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97353 or 97352?\nAnswer: 97353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 4. Let t(w) = w - 1. Let b(i) = -2*h(i) + 7*t(i). Let p = 3 - -1. Determine b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9819496.44 to the nearest one thousand.\nAnswer: 9819000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -c - n, 34319*n - 34314*n = 50 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111534243 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -43. Let d(i) = i + 0 + 0 - 2 + 1. Let g(l) = 3*l**2 + 15*l - 18. Let y(p) = a*g(p) + 18*d(p). Determine y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 3*k**2 + 4. Let o be z(-3). Let m be 620\/(-40) - (1 - 3\/2). Let w be (-22)\/12 + m\/(-6) + -2. What is the closest to -1 in w, o, -5\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1671 by 6.\nAnswer: 557\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + x - x + x**3 - 3*x**3 + 3*x**3 + (-x + x - x)*(3*x**2 - 4*x**2 + 0*x**2) + x**3 + 2*x**3 - x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 0.5. Let z = 3 + b. Let a = 21 - 45\/2. What is the nearest to 0.2 in a, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(208)\/sqrt(4))**2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-9)*(-3)\/4. Suppose -2*r = k*c - 34, -2*c - 71 = -3*r - 0*c. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 16) in base 2?\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.02 rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (0 - (7 - 13)) + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsq. What is prob of sequence sq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, 22, -3\/2, -3\/5, 0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 69 in decreasing order.\nAnswer: 69, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 16 - 6. Suppose -5*u + 43 = -0*u + 4*h, 4*h = z*u - 34. What is the lowest common multiple of 1 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1151, -1104, -1057?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8910819 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -534 + 539. Let m = -4 - -10. Suppose m*q - 2*q + 4 = 0. What is the fourth biggest value in b, 4, -3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 3:04 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 19 = -4*s + 55, 0 = 3*h - 3*s - 9. What is the smallest common multiple of h\/(-8) - 6538\/(-56) and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - 5*(4*sqrt(132) + sqrt(132))) + sqrt(132))\/(sqrt(12) - sqrt(144)\/sqrt(3))*-2)**2.\nAnswer: 23276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 230*u + 0 + 14 in the form n + t*u and give t.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 28 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5.3. Suppose 2*q = -4*u + 16, q + 3 - 7 = 2*u. Suppose q = -5*r + 2*r + t, 10 = -r + 3*t. What is the nearest to r in g, -0.4, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44572641 - 0.82347342. Let z = r - 21.42233999. Let g = z + 21.8. Round g to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 + -263. Calculate the remainder when (i\/(-9))\/((-10)\/(-15)) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -7537143 in ascending order.\nAnswer: -7537143, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-12))\/(3\/2)*-2. Suppose -4*c + 6 = -2*c. Sort w, c, 9.\nAnswer: w, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*t + 1690 = -1024*t + 2108*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 11:13 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474198, 948044, 1421890, 1895736, 2369582?\nAnswer: 2843428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.46 - 4.4600224. What is r rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176) + 5 + sqrt(176) + sqrt(176) + (0 + sqrt(176))**2 + 0)*1.\nAnswer: 16*sqrt(11) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 23\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 3)*(-2 + 1). Suppose -4*b = -5*g - 8 - t, -3*b - 3*g - 9 = 0. Put b, -3, -4 in increasing order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 9. Let q = -8 + c. What is b in q - 2\/3*b**2 + 4\/3*b = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -b - 4*b + 3*k, 0 = -b + 2*k + 4. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17)*x*x*x*x\/(x*(x*x\/(x\/(x**(-4\/11)\/x)))\/x*x*x)*x*x)**(-3\/16) assuming x is positive.\nAnswer: x**(-1191\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275211444*k**3 + 158229482*k wrt k.\nAnswer: -1651268664*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1))**(1\/3))**19)**44 assuming q is positive.\nAnswer: q**(-836\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 10*x + 11. Let c be a(9). Let i be (15 - 11)*(0 - -1). Put i, c, -2 in decreasing order.\nAnswer: i, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 2204*z + 122434. Determine x(-1155).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119089830 and 190543728?\nAnswer: 952718640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3 + 0 - 1 + 9*y - 10*y. Let i = 5 - 3. Let o be 4 - (-1 + 3) - i. Give b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -866*n + 21 + 20 - 37 in the form v + s*n and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12503 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174 and 22272.\nAnswer: 22272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43 and 6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11610 + 7337?\nAnswer: -2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3699 is divided by 1849.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -13?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13314 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402984560 and 14163?\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/32*-4*(0 + 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 845*u**4 - 1258985*u**3 - 3879800*u**2 - 2986000*u = 0.\nAnswer: -20\/13, 0, 1493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4 (b) -2.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3633 + -2513. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 0.08 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -270.\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 887946 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/7 and (-170)\/44 + (-4)\/(-8).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6*k + 0*k + 3*k)*(2 + k - 2).\nAnswer: -3*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:18 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11631204 by 99412.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 11*i**2 - 14*i - 14. Let p be z(-12). Suppose -8 = -p*o + 12. Solve -2*t - 5*s - 13 = 0, o*t + 1 + 3 = -2*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/40834768 and 37\/20417384.\nAnswer: 40834768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 - 2512*c\/3 - 2513\/3.\nAnswer: (c - 2513)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 8111404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38375 divided by 3759?\nAnswer: -38375\/3759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8*m + 84 = 0. Let v be 16\/m + 2 - 16\/(-7). Suppose 10*w - 7*w + 4*j = 209, 2*w + v*j = 142. Calculate the highest common divisor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r - 12. Let y be 24\/16*r\/(-6). Let k(o) = o + 1. Let x(f) = 2*f**2 - f - 5. Calculate y*x(v) + 5*k(v).\nAnswer: 2*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8 - 3.79829. What is c rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119411 is divided by 1137?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*k**3 + 449*k**3 - 1545*k**3 - 1156*k**3 - 1158*k**3.\nAnswer: -3983*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, -1\/10, -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 + 1750*d**2 - 951*d + 33645. Give n(437).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (0 - (-6 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhhl when four letters picked without replacement from hfkkvlllvffhhhkh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16963 is divided by 677?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8, -5*a - 4*t + 17536 + 8125 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 88, 3, 4 in descending order.\nAnswer: 88, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-12)\/(-4 - -1). Let f be 76\/((-15)\/(-129) - x). Let m = f + -52533\/80. What is the common denominator of -13\/22 and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 46 = 44. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4\/10368*-4). Let n = f - -648. Sort -9, 22, n in descending order.\nAnswer: 22, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 444 - 395. Calculate the remainder when s is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 364 = -7*m. Suppose -5*a = n - 6185, -a - m*n + 1237 = -30*n. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 3*k**2 + k**2)*(1 + 1 - 1) + (-2 - 4 + 13)*(-4*k**2 - 4 + 4) to the form h*k**2 + v*k + u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -8, -440*q + 2*z = -436*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**4 - 69*b**3 + 69*b**3 + (-3*b + 4*b + b + (1 - 16 + 1)*(b + 3*b - 2*b))*(5*b**3 - 2*b**3 + 0*b**3) + 2*b + 4*b**4 - 5*b**4 - 3*b.\nAnswer: -71*b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 153580*a + 460759. What is u(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = a - 5*j + 15 - 55, 8*j = 5*a + 3*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -22*h**3 + 47*h**3 - 22*h**3 + 3*h + 6*h**2. Let i be 12\/(-10) + -1 + 34\/170. Let q be g(i). Put q, 5, 0 in descending order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*h**2*v - 84768*b*h**2 - 2*b + 5*h**2*v + 1209*h**2 - 28*h*v with respect to b.\nAnswer: -2*h**2*v - 84768*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4168338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35693665 + 19*v + 35693665.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 647.99 + -651. What is l rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1014*o - 104. Let h(r) = -29*r + 3. Let p be ((-6)\/18)\/(1\/9). Let m(g) = p*s(g) - 104*h(g). Let f(w) = -2*w. Determine m(f(u)).\nAnswer: 52*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvv when three letters picked without replacement from {w: 7, b: 2, v: 7}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*x + 2*x + 9514, 4*m - 19016 = -4*x. Let b = m - 38117\/8. Find the common denominator of b and ((-54)\/(-16))\/(21\/4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2383486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d - 4. Let y = 4 + -7. Let v be n(y). Let p be (((-2)\/5)\/((-4)\/(-6)))\/(-1). Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1.65, -14, 3, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009692559301 to seven dps.\nAnswer: 0.0000969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111000 - 1000011?\nAnswer: -100000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1270 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.952 - 0.048. Let y = -19.94 - k. Let q = 158\/3 + -52. Put y, 1, q in decreasing order.\nAnswer: 1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281389058 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**7\/420 + u**6\/120 + u**5\/120 - u**2\/2 - 7. Let z(i) be the second derivative of j(i). Factor z(k).\nAnswer: k**2*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/8)\/n)\/n**(-3\/8)*((n**2*n)\/n)**(-8))**(2\/9) assuming n is positive.\nAnswer: n**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 800 and 2070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 3*c**2 - c**3)*(2*c**2 + 0*c + 0*c) + (-4*c**5 + 4*c**2 - 4*c**2)*(1291 + 244 - 31).\nAnswer: -6018*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let z(u) = 114*u + 1031. Let k be z(-9). Solve -q*j - k*l + 16 + 4 = 0, j = 4*l - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*m + 0*m + 2*m)*(1564*m**3 + 6027*m - 6027*m) to the form s*m**2 + w*m + n*m**4 + f*m**3 + d and give n.\nAnswer: 14076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w - 8. Suppose n + 2*g - 5 = 0, 67*g = 65*g - 4. Let t(c) = -3*c + 4. What is n*t(f) + 4*p(f)?\nAnswer: -3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2063973.080317 + -2063971. Let s = 2.079 - k. What is s rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 101*h**2 - 15*h - 29. Let w be b(-9). Let p = w - 4803. Suppose -2*z - 722 = -p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1143*q**4*u**2 - 746*q**4*u - 52*q*u**2 - 134*q*u - 7 wrt q.\nAnswer: 13716*q**2*u**2 - 8952*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*u**2 + 82*u**2 - 400 + 515*u**2 + 400 to w*u**2 + m + s*u and give w.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p + 6*p, -4*p = -3*a - 118. Suppose 3*l - 3*c = 318, -3*c + 94 = -31*l + 32*l. Let i = a + l. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 13*s**2 - 9*s - 37. Let c be w(12). Suppose 0*o + 4*l = o + 20, 3*l = -4*o - 4. Let h be c - 4\/(o\/7). Solve 0 = a - h*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 105 - l - 3*l + 109. What is z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-21))\/(4752\/324)*12\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 999245699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0, -27, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 497988 + f**2 + 10345512 - 994985.\nAnswer: f**2 - f + 8852539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 264\/18*(0 - -6). What is the highest common factor of z and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 13) to base 5\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4460*w + 270 = -4514*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -5\/2, -3\/7, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15895*f**3*t + 1447*f**3 + 4*f**2*t + 3634*t wrt f?\nAnswer: -95370*t + 8682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q**(-4\/7))**(-34))**(5\/11) assuming q is positive.\nAnswer: q**(510\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -230. Calculate the greatest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 - d - 2. Suppose 27 = 3*z - 2*c, -2*z = -9*c + 11*c - 28. Calculate the common denominator of u(-2) and ((-18)\/16)\/((22\/z)\/44).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m**2 - 16 + 15 + 3*m**2)*(5 + 3 - 4).\nAnswer: 8*m**2 - 8*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1492.096 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/20 - 9279\/(-12). What is the units digit of (-8)\/44 + x\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/4 + 507*a**3 - 771147*a**2\/2 + 130323843*a - 66074188401\/4.\nAnswer: -(a - 507)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:39 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 13 - 6) + -2 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -7347901.\nAnswer: 5143530.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 11) to base 16\nAnswer: 54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -29*p + 23. Let b be q(-11). Suppose 0 = -0*r + 3*r - b. Does 38 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162562 by 4.\nAnswer: -81281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zxzxxxzxxzxzx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 42647 - 2421 = 2*i, 5*i + 3*k - 100579 = 0. Let r = 13617 - i. What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/3)\/(n*n*n*n**12\/n*n) assuming n is positive.\nAnswer: n**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132)*-2 - sqrt(132)) - (sqrt(132) + 4*((-1*sqrt(132) - sqrt(132)) + sqrt(132)) - sqrt(132)))\/(sqrt(192)*-3*2).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20223 and 526547?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.83358023 to three dps.\nAnswer: 6.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.05901 (b) 1\/31 (c) -2 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 278\/(-5) + 6\/(-15). Let i = -31 - z. Let y be 100*110*-16*i. What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2. Let a = 10916 - 10916. Let i(o) be the first derivative of -13 - 2\/3*o**3 + 0*o**2 + a*o. Give i(j(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46041 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + -4 + 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/(-24) + 2\/3. Suppose -3 = a*x + 15. Let b(h) be the third derivative of -h**4\/24 - 7*h**3\/3 + h**2. Calculate b(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 64 = -3*h + 2*d, -2*h = -d - 52. Suppose 3*n - 15 = 0, 149 = 3*c + n - 66. What is the highest common factor of c and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8)\/(w\/(w**(-12)\/w)))\/(w\/(w*w*w*w*w*w**10*w*w)*w*w**(4\/3)*w) assuming w is positive.\nAnswer: w**(-41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363511045 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z + 1. Let j(i) = 6*i**2 + 21*i + 21. Determine 3*j(y) - 63*v(y).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-374)\/(-4)*1*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*t + 39, -2*t = 4*v + t - 63. Let q = -11 + v. Which is bigger: 2\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422732 (base 11) to base 16.\nAnswer: a54a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -392, 0, -5 in ascending order.\nAnswer: -392, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2 - 2 - 11*w - 3 to g + x*w and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -505 - -552. Calculate the remainder when 130 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 4:08 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 23 = 4*z + 21, 2*z - b - 7 = 0. Let g(k) = -k**3 + 6*k**2 - 6*k + 22. Give g(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(468))*6 + -1 + sqrt(468) + 0 + -5 + (sqrt(468) + 0)*2 + 3)**2 + 3.\nAnswer: -324*sqrt(13) + 37920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11376*i**2 - 9*i + 332. Let u(c) = -11366*c**2 - 8*c + 336. Let x(j) = -4*s(j) + 5*u(j). Find the second derivative of x(q) wrt q.\nAnswer: -22652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.82799 + 0.17201. Which is the second smallest value? (a) x (b) 2 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 24 - -8 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*21*((-987)\/(-252))\/(-47).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d**2 - 1046*d - 3686. Determine x(108).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8256 + 8384. Suppose -58 = -4*d - o - o, 3*o = -5*d + 70. Calculate the remainder when r is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-seven halves of a milligram in micrograms?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Let g(c) = 2*c. Let u(v) = -12*v + 1. Let s(o) = -6*g(o) - 2*u(o). Let h be s(d). Solve -2*n = 2*z + 2, 0 = -n + 4*z + h - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66984 + 128094757.5.\nAnswer: 128027773.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by (-45)\/18 + 34\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(21)\/(sqrt(75) + (sqrt(75)*-2 - sqrt(75)) + sqrt(75)).\nAnswer: -3 - sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*b - 10212 = 129*b - 112*b - 16260 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v**5 - 29*v**4 - 5*v**2 + 3*v wrt v?\nAnswer: 360*v**2 - 696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, 1, -29\/5, 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 + 1 - 37*z**3.\nAnswer: -37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 32.5. Which is the second smallest value? (a) 1\/5 (b) -7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0.1 (b) 0 (c) 0.4 (d) -18393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -35*k + 208. Give c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 92\/(-230)*(5 + 0\/(-2)). Sort -6, 5, 3, g in decreasing order.\nAnswer: 5, 3, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:58 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 1017963.\nAnswer: 1017963.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -7*k + 61 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -2*x**7\/315 + x**6\/90 + 7*x**5\/45 - 13*x**4\/18 + 4*x**3\/3 + 3832*x**2. Solve m(c) = 0 for c.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 - 60*o**3 + 215*o**2 - 150*o = 0.\nAnswer: -15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-392)\/(-4)*(6 + 4)\/(-10) + 6. Let b be (0 - 10)\/(2\/11). Let g = b - f. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -50*l - 45*l - 5 + 94*l. Let a be (-7)\/(-3)*(0 - 3). What is w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (44 - -23) - (16 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 25, -4*d + 0*d = -5*w - 21. Let i = 21 - d. Let y = i - 17. Let n(z) = z**2 - 3*z - 2. What is n(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**5 - 528*n**2 - 4948*n wrt n?\nAnswer: -80*n**3 - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 536765213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*k - 0*k - 290, -5*k + 87 = y. Suppose 14 + y = 4*w. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 3*p + 2*p)*(-6*p**3 + 3*p**3 + p**3) + 2*p**4 - p + p + 0*p**2 + 5*p**2 - 7*p**4 - 3*p**2 to i*p**2 + w + l*p**3 + y*p + r*p**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30280 + -29995. Calculate the remainder when 1408 is divided by d.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*f**4 + 7*f**4 + 17*f**4)*(4 + 0 - 2) + 0*f**4 + 2*f**4 - 3*f**4 + (6*f**4 - f**4 - 3*f**4)*(2 + 0 + 0).\nAnswer: 149*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {j: 3, m: 4, r: 5, f: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178278 is divided by 279?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9755\/(-10) + 9\/18. Let d be 2*a\/50*(-1)\/(-3). Which is smaller: -18 or d?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w - 23. Let v(r) = -r + 8. Let s be v(6). Suppose 8 = 3*h - s*h. What is the remainder when w is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*i**3*p**3*q**2 - 26*i**3*p**3 - 3*i**2*p**2*q - 316*i*p**3*q**2 - 3*i*p*q + 354*p**3 - 2*q**2 wrt q?\nAnswer: 62*i**3*p**3 - 632*i*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 2195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207124 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 51, 64, 95, 150, 235, 356, 519?\n\"Answer: g**3 - 6*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 8*b**2 + 6*b + 9. Let g be u(7). Let d be (2\/(-2) + 0)*(-23 + g). Let y(l) = -3*l + 20 - l - d + 5*l. Calculate y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -5. Suppose -5*p - 5*n + 40 = -q, -6 = -3*n. Is (-845)\/p*2*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - 15674?\nAnswer: -15636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m**4 - 6658*m**2 + 74*m + 145644412.\nAnswer: -16*m**3 - 13316*m + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -6929 and -2\/64355 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 7*a + 11. Suppose -3*i = -3*j - 24, -4*j - 2*i - 32 = -3*i. Let d be s(j). Solve 0*y = d*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 0.38. Let i be 26\/(-13)*-1*1. What is the nearest to i in 4, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506503848 divided by 179484?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 819?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 5, u: 2}. Give prob of picking 1 k and 1 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 3*d**6\/10 - 23*d**4\/12 - 18*d. What is the third derivative of o(w) wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 15. Let z = 21 + u. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 <= -437\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcmccccccmtjjjjcm. What is prob of sequence jjc?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 157*n**2 - 3193*n - 93. Determine y(-133).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + t - 8. Let u(l) = -l. Let a be u(0). Let g be q(a). Let v be 1\/(-8) + (-3)\/g. What is the nearest to -3 in 4, v, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (((-75)\/(-18))\/5 - -1). Sort c, 1\/6, -1\/4, 5 in descending order.\nAnswer: 5, c, 1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2169 = -166*s - 509. Calculate the remainder when 556 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 - 15*f + 12. Determine i(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.11608 rounded to 1 dp?\nAnswer: 42.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {l: 2, h: 5, a: 2, p: 1, x: 4, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 smaller than -360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -0*j. Suppose h - 40 = -3*s, -j*h + 4 + 51 = 4*s. What is the lowest common multiple of s and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/((-308924)\/(-132))*(-4)\/6.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*r + r**2 + 2*r**2 + 0*r**2.\nAnswer: 3*r**2 + 708*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 8*m + 13. Let t be g(9). Suppose 5*z + 11 = -4*b, 3*z = 2*b - z - 14. Suppose b + 2 = i. Put i, t, 5 in descending order.\nAnswer: 5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4058108 to the power of 1\/2, to the nearest integer?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44506 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/77 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1170659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/20)*s)**(-6\/7))**(4\/5) assuming s is positive.\nAnswer: s**(-114\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6133 to the nearest one hundred.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8528438 hours in microseconds?\nAnswer: 3070237680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/42 + 75\/21. Suppose -p = 3*i + 157, -z*i = 3*p + 14 + 187. Let x = i - -93. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 979?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -768, -1544, -2322, -3102, -3884, -4668?\n\"Answer: -d**2 - 773*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5227650 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -2 (b) -0.05 (c) 23.4 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 239, 189, 161, 167, 219, 329?\n\"Answer: 2*u**3 - u**2 - 61*u + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88426724*f**3 - f + 4677126 wrt f.\nAnswer: -530560344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-10)\/4*2. Suppose -8 = -2*m - 0. Sort m, t, 1.\nAnswer: t, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -220166, -439193, -658220, -877247?\n\"Answer: -219027*j - 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23248093 is divided by 562?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 635.8394 times -2\nAnswer: -1271.6788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.9785 centuries in millennia?\nAnswer: 8.89785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*p + 7 = 5, 2*r - 5*p = 2. Solve 4*s + n + 15 = 0, 0 = -50*n + 51*n - r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5315013 + 50?\nAnswer: 5315103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064951 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 5)*(3*f - 3*f + 2*f) - f + 0*f + 0*f - 259*f - 230*f + 422*f in the form b*f + r and give b.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4047, 16119, 36127, 64071, 99951, 143767?\n\"Answer: 3968*f**2 + 168*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -2094\/991 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 4*i, -5*w + 10 = i - 7. Solve 0 = -i*y + y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50796?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/55867944 and -161\/259248?\nAnswer: 111735888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 7, 2, -1 in descending order.\nAnswer: 7, 4, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 4*q - 3. Let y(w) = -w**2 + 3*w + 2. Let d(o) = 2*l(o) + 3*y(o). Give d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2562, 5128, 7694?\n\"Answer: 2566*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4*o = -4*f - 1741, -6 = -3*o. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33\/31 - 62787\/58807. Let w = -130773\/37940 + z. What is the common denominator of 101\/16 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 251?\nAnswer: 5\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = g - 3*x, -5*x = -2*g - 3*x - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-19 - -11) - (-20 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*p - 5640 = -167*p. Determine t, given that 5\/3*t**2 + 60 + p*t = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -2*v**2 - 1\/45*v**3 + 0*v - 1\/90*v**4 + 0 - 1\/450*v**5. Factor u(c).\nAnswer: -2*(c + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-5)\/(-3) + -3). Let z be (6\/r)\/(6\/16). Sort -5\/4, 0, z in increasing order.\nAnswer: z, -5\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001001 (base 2) in base 5?\nAnswer: -3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 8*q**2 + q + 25. Is w(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a - 1\/15*a**5 + 0 + 1\/4*a**4 + 1\/105*a**7 + 1\/56*a**8 + 1\/3*a**3 - 1\/10*a**6 + a**2. Find z such that k(z) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdzgzgzzzdzz. Give prob of sequence gzgd.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(1539))**2 + sqrt(1539) + -3 + (-6*(sqrt(1539) + sqrt(1539)*1 + 0))**2)*-3.\nAnswer: -738711 - 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-3 + 6)\/(24\/40). What is the smallest value in -3\/2, 4, 0.5, w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-24)\/v))\/((v\/(v*v\/((v**(1\/4)\/v*v*v*v)\/v)))\/v*v)*v\/((v*((v\/(v\/(v*(v**(-2\/17)\/v)\/v))*v)\/v*v)\/v)\/v)*v**23\/v assuming v is positive.\nAnswer: v**(3391\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -158\/2407 and 116 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g. Let p(c) = -15*c - 28. Let q(f) = 7*f + 13. Let y(w) = -6*p(w) - 13*q(w). Let v(m) = -3*m + 2. Let l(h) = -v(h) - 2*y(h). Calculate l(s(a)).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*40*50\/31000.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 404. What are the prime factors of 2\/6 + u\/6?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -6. What is the remainder when 32 - (2 - 1)\/u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0438 and 0.05.\nAnswer: -0.00219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) - (-60)\/33. Suppose 2*y + 3 = -g - 0, -b = -4*g - y. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115385 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = -2*g. Suppose -2*m - g = -3*m, -5*m = -5*i - 10. Suppose 3*w + i*k - 24 = 0, -5*k + 20 = 5*w - 4*k. Solve w*c - c - 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*55\/30 + (-1)\/3. Let k be 2\/b*0\/5. Suppose k = -2*q + 99 + 73. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 3. Let r(u) = u + 2. Let c(i) = i**3 + 8*i**2 + 6*i - 13. Let l be c(-7). Let g(y) = l*r(y) + 4*a(y). Let d(p) = 2*p. What is g(d(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 303186*x - 13031451.\nAnswer: -3*(x - 101019)*(x - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -57. Suppose -5*m = x - i, 2*m + 0*x + 4*x = 2. Solve 3*f = -q + 2, -m*f + 2*q = 3*q - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/174791 and -71\/27192.\nAnswer: 46144824","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*j = -26, -j + 0*j = -2*z + 14. Suppose -z*g - 1 = -16. Suppose g*i + 0*i + 27 = 0. Which is smaller: i or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/63 - 4\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 6 + -4)*2. Suppose -5*k + c*k = -12. Let w = 98 + -89. What is the lowest common multiple of k and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*t**4 + 82*t**2 - 22*t + 17 wrt t.\nAnswer: 180*t**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363147847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q + 3, 0 = -3*h - q - 10. Let o be h*(3 + 26\/(-6)). Suppose o*t - 58 = -2. What is the least common multiple of 18 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 12. Let h be c(10). Suppose 5*l = 4*l - h*q + 27, 0 = 2*q. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07502 - -1.07502. Which is the closest to -6? (a) 2 (b) o (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 15. Let t = -147 - -150. Suppose 2*p + 20 = -b*h, -t*p = -8 + 23. Sort h, 1, 7 in decreasing order.\nAnswer: 7, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 2. Let a be x(-4). Let o be 1\/1 + -1 + a. Is o\/((8\/22)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 19. Let g = x + -2. Suppose -5*a - 4*w = -0*w - 26, -4*a = 2*w - 16. Solve -a*h + 2*j + 0*j = -6, 0 = -2*h + g*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4643 = 1525. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let k(g) = g**2 + 3*g. Let v be k(-4). Let m(x) = 6*x - v*x - 7*x. What is m(n(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*q + 18, -2*u + 2*q = -2 - 12. Solve 5*g - u = y, -4*g + g = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*c - 9*c + 0*c)*(0*c**2 + 2*c**2 - c**2) + (-1 - 3*c + 2*c + 0)*(2*c - 3 + 3 + c**2) + 2*c**3 + c**3 - 5*c**3.\nAnswer: -26*c**3 - 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, c: 9, q: 1}. Give prob of sequence qo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 + -77. Let l be (1 - 0)\/(v\/5). Solve -22 = -l*t + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 68 + 28 + 36. Suppose 0 = 26*n - 25*n - 6. Let s(y) = n + 12 - 17. What is p(q) + 5*s(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -63, -83, -111?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29566, 59132, 88696, 118258, 147818?\nAnswer: 177376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/52 - 2\/13. Which is bigger: h or -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h. Let v(g) = -5*g - 27. Let u be v(-6). Let q(k) = -2*k - 5. Let a(p) = -3*p - 6. Let d(z) = -6*a(z) + 7*q(z). What is u*y(n) + 2*d(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1.15. Let k = o - 0.11. What is the nearest to -1\/3 in 4, 1\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -21, -13, 25, 105?\n\"Answer: 2*r**3 - 3*r**2 - 15*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398 is divided by 846.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -10 + 2. What is the third derivative of -5*d**2 + 3*d**3 - d**o + 3*d**2 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144625 and 500?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54373 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1 - 1 + 4*l**3 - l. Let v be ((-1)\/2)\/(2\/4). Calculate j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 771, 1128, 1457, 1746, 1983, 2156?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384881880.\nAnswer: 2, 5, 17, 19, 37, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-16) - (-3)\/(-2). Suppose -m = -z - 681, 5*m + y*z - 3389 = -3*z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1107613.\nAnswer: -5\/1107613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18363 is divided by 1678?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/17577?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 + 3*t**2 + 6*t - 57. Determine j(-5).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/40)\/(((-54)\/20)\/((-9)\/(-3)))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1072363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533*k**3 - 10083*k**3 + 25626*k**3 + 55207*k**3.\nAnswer: 72283*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n. Solve 5*i - i = t + 3, n = t + 3*i - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*d - 9*d. Put -2, d, 5, -3 in decreasing order.\nAnswer: 5, d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12630000 rounded to the nearest 100000?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 13*y + 29. What is m(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p - 18*p - p**2 + 7*p + 4*p to z*p**2 + u + a*p and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v + 178 = 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2256735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 + -136. Let p = y - 59. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-250)\/2250*4\/((-2044)\/63)?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(19 - 19)\/17. Put 4, -43, l in increasing order.\nAnswer: -43, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**2\/2 - 14. Let w(j) = -j + 35. Determine o(w(c)).\nAnswer: -c + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Let q = l - 1. Let r = 30 - 33. Which is the closest to 0? (a) q (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 9*z = 2. Let u(x) = -x**2 - 3*x + 8. Let f be u(z). What is the nearest to f in 0.2, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12150391, -18, 4 in decreasing order.\nAnswer: 4, -18, -12150391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 - 363*c - 1453. Calculate the remainder when 202 is divided by f(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 40*f**3 - 7*f - 7. Let d(o) = 13*o**3 - 2*o - 2. Give -2*c(m) + 7*d(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7839 = 4*v + 4135. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - c**2 - c + 29. Let v be t(0). Let m be (-6)\/(-8) + (-3)\/(-12). Let k be -3*((-1)\/m - 0). Solve 0 = k*r + 4*f + 1, 5*f + v - 9 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 58 - 18 - 307*i - 17 as s + d*i and give d.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4938 - 572. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-6 - 4) + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*r - 7, 49 - 48 = -3*r - 5*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 318705 and 318704 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 3.4732308.\nAnswer: -3.4732308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + 6 + (5 - 11) + 10 + -7 + 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x + 7*x + 581 = 196 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 582, 1631, 3392, 5865, 9050, 12947, 17556?\n\"Answer: 356*h**2 - 19*h + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c, -3*c + 1 - 16 = -3*t. Let f be 9\/4 - 2\/t. Suppose j + j = f*l, -3*j = -2*l. Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -11. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - 107.3. Let s = 9 + g. Let q = -0.24 - s. What is q rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. Solve -b + 2 = w*q, 4*b + 0*b - 15 = -q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-32)*2)\/(1*(-2)\/(-32)) + -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffkk. What is prob of sequence kkf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 - y**2 - 3*y + 1. What are the prime factors of s(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let a(k) = 1224*k - 16. Give a(y(p)).\nAnswer: -2448*p - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311, -0.1, 5\/4 in descending order.\nAnswer: 5\/4, -0.1, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261\/5 + -52. Let c = 0.06 + 7.94. Let i = -7.97 + c. Put g, i, -0.1 in descending order.\nAnswer: g, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:27 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4681 + 2427 = 49*t for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 15, t + 2*t - 11 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008776 rounded to seven decimal places?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*x - 4. Let k = x + 18. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/4526348?\nAnswer: 1\/4526348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*8\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(225\/(-78) + 3). Let s = p + 90. Let j = s + 68. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + l**3 + 5 + 447*l - 29*l**3 - 447*l + (3 - 2*l - 3)*(-2*l**2 + 0*l**2 + l**2) + 0*l + 12*l**3 + 0*l to z + c*l + o*l**2 + r*l**3 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*p, -p + 6*p = 4*t - 64. Let z be ((-35)\/(-2))\/(t\/22). Suppose -14*u + 9*u + z = 0. What is the highest common divisor of 49 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1272682.5227 - 1271972.5227733. Let q = d - 710. What is q rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-45)*6)\/(37\/185). Which is the second biggest value? (a) d (b) 2\/7 (c) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**3 - i**2 + i - 1. Let h be j(-3). Let q = h - -212. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 + 0*b**2 + 2\/5*b**5 + 0*b**3 - 1\/3*b**4 + 19*b. What is f in d(f) = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a gram in milligrams?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 731, 1494, 2257, 3020?\n\"Answer: 763*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 + 2*h**2)*(-3*h + 2*h - h)*(3*h**2 - h**2 - 3*h**2).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/171, 3, -16, 1\/4, 32 in descending order.\nAnswer: 32, 3, 1\/4, -1\/171, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**5\/10 + i**4\/3 + i**3\/3 - i - 2. Let s(r) be the first derivative of m(r). Suppose s(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/3 + (-1)\/((-4)\/(-8)). Suppose -f - 72600001 = 3*r, 3*r - 2*f + 72600003 = -n*f. What is r rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 2, 11719.\nAnswer: 2, 101, 11719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*r**3 + 106*r**3 + 105*r**3 + 115*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2678460*y + 0 + 0.\nAnswer: -2678460*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*j**2 + 36*j + 41*j**2 - 40*j as o*j + l*j**2 + w and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - -1.4. Let l = 36 - 32. Let g = -13 - -10. Sort g, l, v in descending order.\nAnswer: l, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, i: 3}. What is prob of sequence yy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 75 - 79. Suppose -m - 3*r + 175 = 0, -530 = -v*m + m - 4*r. List the prime factors of m.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 73 = 43*u, 0 = 169*l - 171*l - u + 5 - 10 - 8 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3*x\/x**(1\/3)*x*(x*x**1)**(9\/5)*(x**3\/x*x**(4\/15))**(-39) assuming x is positive.\nAnswer: x**(-1202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by 60.\nAnswer: 97\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3075, 5387, 7705, 10029, 12359, 14695, 17037?\n\"Answer: 3*x**2 + 2303*x + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 2106275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c**2 + c - 6. Let h = 6 - 1. Let n be r(h). Let u(p) be the first derivative of -p**4\/4 + 2*p**3\/3 + p**2\/2 - 1. Determine u(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 18 - -1) + 5 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14853\/10048 + 210\/157. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -317 - -331.36. Let c = 0.64 + k. Let g = c + -14.6. Put -2\/13, 2, g, 0.07 in descending order.\nAnswer: 2, g, 0.07, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -558595170*w + 587872280 wrt w?\nAnswer: -558595170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 10*q - 4. Let f be t(-7). Suppose -5*a - 5*v - f = 23, 4*a - 5*v = -5. Let r = 12 + a. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/16 and -19\/3242.\nAnswer: 25936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1828270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 41*u + 405. Let a be l(26). What is the greatest common divisor of a and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039397 is divided by 299.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 22*n - 17. Let h be r(9). Let x = h + -86. What is the greatest common divisor of x and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47238\/5 + -9448. What is the closest to d in -2\/21, -3, -0.087, 0?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287 + 519. Let h = d - 226. What is the least common multiple of 137 and h?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14825, -14823, -14821?\n\"Answer: 2*o - 14827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10\/3)\/i)\/(i**(1\/10)*i) assuming i is positive.\nAnswer: i**(-163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31533 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, 1, 74, -5 in increasing order.\nAnswer: -5, 0, 1, 21, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426090.\nAnswer: 2, 3, 5, 7, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1629851 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a - 6*a + 3*a**3 - 3*a to y + i*a + o*a**2 + j*a**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 94*v = -348. Let u(i) = 55*i**3 - 13*i**2 + 13*i - 13. Let l(z) = -27*z**3 + 6*z**2 - 6*z + 6. Give v*u(a) + 13*l(a).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 14 - 14)*(0*k**2 - 8*k**2 - 4*k**4 + 2*k**4 - k**3) - 2*k**5 + 0*k**5 - 3*k**5.\nAnswer: -11*k**5 - 3*k**4 - 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7635*z**5 - 1071*z**4 + 2*z - 37284281?\nAnswer: 152700*z**3 - 12852*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16*-44*8\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 3*x + 4. Let v be k(4). Let u = v + -6. Solve c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -14*x**2 - 11*x + 11. Let p(n) = 27*n**2 + 23*n - 24. Give 5*m(r) + 2*p(r).\nAnswer: -16*r**2 - 9*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -498, -1001, -1504, -2007, -2510, -3013?\n\"Answer: -503*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 74 - (13 + -10). Let m = u + -67. Let k = -17 - -16.6. Which is the nearest to 0? (a) -3 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mxxxrxxoxomxxmrxzox.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 = 5*y - 9, 3*c - 1 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9. Let o(u) = -4. Let x(q) = 3*f(q) + 7*o(q). Let y(h) = -h**2 - h + 1. Let z(n) = -2*n + 5. Let t(g) = y(g) - z(g). Calculate t(r) - 4*x(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148.9, 0.3, -2\/9?\nAnswer: -148.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 21 = -5*u. Suppose 0 = 5*n - n + i - 11, -5*n = -3*i - 1. Suppose -n*d + u = d. Solve d = -5*p + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1, 4.7, 76\/2091.\nAnswer: -1, -2\/3, 76\/2091, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*t + h, -2*h = -78*t + 77*t + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 1, p: 3, c: 2, m: 4, b: 2}. What is prob of sequence kbbc?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njn when three letters picked without replacement from niinnnjxnxjjjjjnix.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c2881 (base 14) to base 13.\nAnswer: 292b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 10*p + 25. Calculate x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:46 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23516225 to the nearest integer?\nAnswer: 4849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86716.831116 - -86717. Let k = 96.127884 - i. Let g = -96 + k. Round g to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 592*d - 74772. Give u(-183).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -20*x - 2. Let z(v) = 21*v + 1. Let h(o) = -2*a(o) - 3*z(o). Let u be h(-3). Suppose 0 = -k + 3*k - u. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - n**2 + 4*n + (-5*n + 3*n + n)*(2*n - n + n) + n**2 - 2*n**2 - n**2 + 2*n - 331*n**2 + 48 - 36 - 11.\nAnswer: -336*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93060.78 millilitres?\nAnswer: 93.06078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 4*y**2 + 2*y + 13. Let g be z(-3). Let m be g\/50 - 226\/(-4). Let r = m + -36. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:56 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.028? (a) -4 (b) 0 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83071 + 83071 - 29*z.\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742469652?\nAnswer: 2, 3, 2291573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40305 (base 8) to base 10.\nAnswer: -16581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*k = -2549980, 2040005 = -2*n - 2*n + k. Round n to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*b = 324, m - 3*m - 5*b + 279 = 0. Suppose -5*g = -25, 0*p = 4*p + 4*g - m. Suppose -4*q = -8 - 28. What is the remainder when p is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*y + 4148 - 3098 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063 rounded to the nearest ten?\nAnswer: -4060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 3. Let c(x) = 4*x + 53. Let n be -15 + 16\/(-88) + (-26)\/(-22). Let h be c(n). Let f(y) = 4*y - 2. Determine h*z(v) - 2*f(v).\nAnswer: v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 315\/4 - 79. Let n be ((-3)\/9)\/(2\/(-3)). What is the closest to -0.2 in n, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/3 - 11221*g**4\/3 + 11218*g**3\/3 + 7480*g**2 = 0?\nAnswer: -1, 0, 2, 11220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6954144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4427 by 6.\nAnswer: 4427\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 17 = 2*s, -m + s = -3*m - 14. Let u(a) = 2*a**2 + 5*a - 2. Let g be u(-3). What is the nearest to g in m, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84)*-2 - sqrt(84))*-4*-6)\/(-2*(-5*sqrt(3)*-1 + (sqrt(3) - (sqrt(432) - (-1*sqrt(432) + sqrt(432)))))).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(4\/20*-1). Sort h, 0, -5, -3, -145 in decreasing order.\nAnswer: h, 0, -3, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3480758 is divided by 3453.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2557 - 700 + 2641 = 136*u - 1894 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7991 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 - 5*h. Let p(b) = 6*b**2 + 9*b. Calculate 6*p(i) + 11*q(i).\nAnswer: 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 318*m + 7. Calculate h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 1005727.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 156*r**2 + 323*r - 1080. Calculate c(158).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 1. Let x be 2\/4*(3 + -1 - 8). Let n be 0\/(x*(-3)\/(-9)). Determine o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 5}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1344352207 or -0.1?\nAnswer: 1344352207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6944.844 millimeters to kilometers.\nAnswer: 0.006944844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) -27.4 (c) 1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*l = -2*l + 2, 4*c + 2*l = 0. Let v be 17*-9*2\/(-11). Let r = v + -5224\/187. Sort 1\/3, r, c in ascending order.\nAnswer: r, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = -29*k - 33 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -345, -363, -413, -507, -657, -875, -1173, -1563?\n\"Answer: -2*t**3 - 4*t**2 + 8*t - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208227209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -16. Let m = p + -3. Let g = 0 - 1. What is the closest to 1 in 0, g, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14632 to 3 decimal places.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/547 + 12461\/8205. What is the common denominator of 42 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 42. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320056 to the power of 1\/2, to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3222324 - 34?\nAnswer: 3222240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 552, -19134\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38213 is divided by 2501?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2776716)\/(-4)*-3*2\/(-6). Suppose -2*a - 645821 = q. What is a rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3\/4. Let i = -607 + 4853\/8. What is the fourth biggest value in 5, i, r, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose 88 = -4*q + 2*p, 34 = -3*q + 3*p - 38. What is the remainder when (-264)\/q + 10\/(-50) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 9)\/((-2)\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 8. Let m be n(4). Let w be m\/6*(6 - 0). Let a(o) = 4*o + 1. Let k(j) = 4*j + 2. Let d(c) = w*k(c) - 5*a(c). Differentiate d(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + s**3 + s**3)*(1 - 4 + 2) + 0 + 4*s**3 + 0.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1620 divided by 6\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-21)*(757 + (0 - 1)). Suppose 0 = 2*z - x - d, 22*z = 21*z - 3*x + 238. What is the greatest common factor of 50 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/z**5))\/z**(-1\/11) assuming z is positive.\nAnswer: z**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, 1 d, and 1 j when four letters picked without replacement from dnntjxddttojddnttnn.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(180) + 3 + sqrt(180))**2 + -2)*-4*4.\nAnswer: -11632 - 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 2*x - x)*(14*x - 3*x + x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63836420 rounded to the nearest one million?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + 104. Calculate the highest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*y + 28 = -0*y, 40 = 3*p - 4*y. Suppose -2*f + 10 = -0*f. Sort 1, f, p.\nAnswer: 1, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/320 and 97\/3480.\nAnswer: 27840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -2610?\nAnswer: -2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (sqrt(252) + -1)**2 - 4*((sqrt(252) + 0 - sqrt(252) - sqrt(252)) + -5)**2.\nAnswer: -855 - 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (230\/(-4))\/(-1)*8\/15. Let n = -31 + d. Which is the closest to -2? (a) 2 (b) n (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 4 + -12 - (24 - 37)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -19.23, -0.1, 0.2 in ascending order.\nAnswer: -19.23, -0.1, 0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15369806.9 to the nearest one hundred thousand.\nAnswer: 15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-170)\/(-952))\/(20\/21))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, z: 4}. What is prob of sequence zizz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-308)\/(-66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9 and 0.0344784?\nAnswer: -0.13446576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239547659 to the nearest integer?\nAnswer: 15477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 101 + 55 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:52 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/6 - 3*m**2\/2 + 4*m. Let s(r) = 24*r - 7 - 28*r - 3. What is -20*a(q) + 6*s(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71561 = 4*m + u, 10*m - 9*m - 17879 = -4*u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 10. Suppose 3 = n - 4*n. Let c(s) = 5 + 1 - 3 - 4. Give n*p(l) + 12*c(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061400274 to 6 dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + 13.12\nAnswer: 13.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4)\/(q**13*q))\/(q*q\/(q\/q**28*q*q*q*q)*q**(2\/43)) assuming q is positive.\nAnswer: q**(-6587\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 1. Let c(o) = 4*o - 12. Let l(b) = c(b) + 5*h(b). Let t be l(-5). What are the prime factors of (-3 - t)\/((-4)\/40)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 39 + 21. Solve b - 6*b = j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l - 17*l - 1008 = -6*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-22))\/(33\/726)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12407678*u**4*y + 266*y - 7564 wrt u?\nAnswer: -49630712*u**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b + 9. Calculate d(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2\/2 + s + 1. Let q = 9 - 3. Determine r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l - 82742 + 83008 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45051 in 1\/6, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 75022.52 millennia?\nAnswer: 7502252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 0. Suppose -2*x - 12 = -5*n, -3*x + 5*n - 9 + 1 = l. Suppose x*t = -t - 5, 3*w = -t + 17. Solve 2*s - w*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 332 and -6.4804372.\nAnswer: 325.5195628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 16*h**3 - 6*h**3 + 2*h - 1 - 7*h**3. Let r be f(1). Solve 0 = r*q - 1 - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*4*(4*(sqrt(243) + 1 + 4 + 2) + 2)**2.\nAnswer: -38300 - 17280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3.9, -2, -4\/7?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -715 - -716. Let b = -0.05 + -0.25. What is the closest to -0.1 in 0.04, y, b?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let d be (105\/(-5) + 18)*(-1)\/(-3)*-1. Sort -2, n, d in decreasing order.\nAnswer: n, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199437, 199432, 199425, 199416, 199405?\nAnswer: 199392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245 - -250. Solve -5*t - 4*u = 35, -r*t + u - 25 = 3*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*s = -0*s - 22, 4*s + 1 = z. Solve 2*m - 16 = 4*q + m, m + z = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02303 + 0.07697. What is the nearest to -2\/7 in p, 0.02, -3, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133 + 1199\/9. Sort n, 5, -1 in ascending order.\nAnswer: -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 less than -405449?\nAnswer: -405449.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*z**3 - 102914*g**3*z - 2*g**3 - 2*g**2 + 347*g*z**3 + 55*g*z**2 - 101*z**2 + 1 wrt g.\nAnswer: -6*z**3 - 617484*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17556 (base 9) in base 14?\nAnswer: 45ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -105, -125, -145?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1. Let b(h) = 3*h - 9. Suppose c = -4*g - 153 + 145, -g = 4*c - 28. Calculate g*a(n) - b(n).\nAnswer: -3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 115528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1754465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286 + -4.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5339221 and 115\/32035326.\nAnswer: 32035326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3\/3 - 11*p**2\/2 - 412. Factor a(z).\nAnswer: z*(z - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7\/(1 + -50) - 11175\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 357 = z, 3*a - 7*a - 684 = -2*z. Let v = z - 235. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**3 + 2797*b**2 - 16209*b + 4226. Calculate p(-705).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 19*j**2 - j + 22. Let x = -6 + 25. Let a be f(x). Is 15 a factor of a - (-3 - (-3 - -21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -375, 1\/4, 73, -3, 0.4 in ascending order.\nAnswer: -375, -3, 1\/4, 1\/3, 0.4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*w + 2*g + 212, -5*w + 259 = 3*g. Let x = w + -46. Sort -3, x, -1, -4 in descending order.\nAnswer: x, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.2, -2, 3, -0.5, 23641 in descending order.\nAnswer: 23641, 3, -0.2, -0.5, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 447\/13 in 0.1, 0.4, -36?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 242 + 8*x**2 - 69*x + 14*x - 15*x. Let h(r) = r**2 - 1. Let o(j) = -3*h(j) + p(j). Factor o(f).\nAnswer: 5*(f - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -314*g - 300. What is the units digit of i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 3*n - 2*n + (2*n + 3*n - 7*n)*(-3 + 1 + 4) + 4*n - 2*n + 0*n + (-2 - 3*n + 2)*(-2 + 4 + 0)*(0 + 5 - 3).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2520*j**2 + 772*j - 20. Let y(q) = 2522*q**2 + 770*q - 16. Let f(t) = 4*s(t) - 5*y(t). Find the second derivative of f(k) wrt k.\nAnswer: -5060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/834 and -38\/72975?\nAnswer: 145950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 54*s - 6728 = 0. Calculate the highest common divisor of s and 1450.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 22. Let m = h - 14. What is the highest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26934 = -44849186*l + 44848985*l for l.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -32, -40, -30, 10, 92, 228?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6 = -3*l, 0 = 13*l + 36900*x - 36902*x + 101 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 2*x - 3*x - 3*x**4 + (3 + 1 - 3)*(242*x**4 - 80*x**4 + 283*x**4).\nAnswer: 442*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 69\/2564?\nAnswer: 69\/2564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**7\/168 - v**6\/120 + 4*v. Factor g(u).\nAnswer: -u**4*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 534 and 11303?\nAnswer: 67818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfsm when four letters picked without replacement from zmzmshfhmsfm?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1345a (base 12) to base 16.\nAnswer: -67c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*s + 45*s + 46*s = -9 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -4cba08?\nAnswer: -4cba08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from cppccpcpppccpcccccc?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m + 1. Let p(v) = 8*v - 1. Determine -4*p(i) - 5*r(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = 20*l - 213. What is the fourth smallest value in -2\/7, l, 13\/5, 0.5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(2) + 0) + (sqrt(400) + (sqrt(400) - (sqrt(400) + -3*sqrt(400))))\/sqrt(8).\nAnswer: 3 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 15*c + 19. Let v be a(-16). Suppose 27 = -v*l + 78. Suppose -3 - l = 4*d. Let z(r) = -2*r - 5. What is z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(sqrt(304) + -1 + sqrt(304) + -5))**2.\nAnswer: -2800*sqrt(19) + 31625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -1\/10, 1\/3, 3\/2.\nAnswer: -5\/3, -1\/10, 1\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 + 3 = 0. Let r be -13 + 1 + (m - 1). Let p = r + 12. Solve -7*z = -p*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -171. What is the second derivative of -d*k**4 + 17*k**3 + 5*k**2 - 18*k**3 - 45 - 10*k**2 - 2*k + 5*k**2 wrt k?\nAnswer: -252*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/8 + 3*q**5\/20 + 17*q**2. Find the third derivative of c(m) wrt m.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 23)*(-7 - -8). Let x = 35 + w. Suppose 4*a = a + x. Solve c - 2*y = 7, -2*c + 3 = 3*y - a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, 5\/6, 1\/4, -3, -1\/2, 18950?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*v - 5*v + 12, -5*v + 16 = n. Suppose 0 = 3*c + 2*d + 1, -c - 7 = -d + v*d. Suppose 7*j = c*j + 160. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12345157 and -0.1.\nAnswer: 1234515.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2327961 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/2*2\/3. Suppose -20265*y + 20263*y + 5*x = -3, x + 15 = 4*y. Solve -n = -c*n - y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 294*f**2 + 2267*f - 154. What is b(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7459.\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h**(10\/3))**(38\/7) assuming h is positive.\nAnswer: h**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7098*q. Let h(a) = -2*a + 3265. Calculate c(h(t)).\nAnswer: 14196*t - 23174970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012212001211 (base 3) in base 11?\nAnswer: -735152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*f - 235, 2 = -2*f + 4*f. Suppose -4*z = -7*z + x. Which is smaller: z or 19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-5)\/(-150)). Let d be 2\/(-2) + (0 - f). Let s = 23 + d. Solve 2*u - 3*p - 4 = s*u, 0 = u + 5*p - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a\/a**8)\/a)\/a)\/(a*a*((a\/(((a\/(a**(-17)*a)*a)\/a)\/a))\/a)\/a)*(a*a**(2\/3))**(10\/9))**(-9\/5) assuming a is positive.\nAnswer: a**(-239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18168472 is divided by 109?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 0 + sqrt(833)*3)**2*-3*-2 + ((4*sqrt(833) - sqrt(833))*-5 - (sqrt(833)*3 + -2))**2.\nAnswer: -504*sqrt(17) + 349864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*f = 62*f + 55*f - 67895. Let q = 9 + -3. Calculate the remainder when f is divided by (-33 + q\/3)\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -2*f, 4*n - 28 - 4 = 4*f. Suppose 0 = -3*w + 7*w. Let s be (0 + 1)\/(n + w). Which is the third smallest value? (a) s (b) -0.1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.4 less than -0.03?\nAnswer: 95.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-2)*(-24)\/(-36). Suppose -2*o = s*l + 9 + 1, -5*o - 25 = l. Solve l = -3*u - f + 3, -2*f - 4 = -4*u + 3*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -10. Let k be ((-224)\/(-20))\/(s\/(-35)). Suppose 3*w + 2*u - 144 = -2*u, 0 = -4*w - 4*u + k. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*z. Let m be (-4)\/(-6) + z\/2. What is the nearest to -1\/2 in 5, m, -5\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 695.4513 kilograms?\nAnswer: 0.6954513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Let p be 4*(6 - 1154\/(-40)). Let t = -139 + p. What is the closest to t in 1, g, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*115\/368*-20*(2\/(-1))\/4\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1024233 - 122222?\nAnswer: 402011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 + 115*u**2 + 59*u**2 - 19*u**2.\nAnswer: 133*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 1. Let h = 4.55 + a. Round h to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -2)\/(-27)*18 - 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5 + 10*i**4 + 46*i**3 + 22*i**2 - 44*i - 32 = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.069965, -0.2, 4, -3 in decreasing order.\nAnswer: 4, 0.069965, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2*5\/60*-3*12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31430 - -2?\nAnswer: -31424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -113, -133, -115, -47, 83, 287, 577?\n\"Answer: 2*n**3 + n**2 - 63*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868911453.\nAnswer: 3, 96545717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * -312333.\nAnswer: -14367318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (352\/(-308))\/((-10)\/217). Is 24 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8095, 35497, 62899, 90301, 117703, 145105?\n\"Answer: 27402*m - 19307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689770450?\nAnswer: 2, 5, 13795409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 1268 = 1079 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**2 - 2*i + 4. Let v(y) = 9*y**2 - 3*y + 5. Let q be (1 - 3\/9 - -3) + (-600)\/360. Calculate q*v(t) - 3*c(t).\nAnswer: -9*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6013.119 grams?\nAnswer: 6.013119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6192 or -179596\/29?\nAnswer: -179596\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0 (b) 1 (c) 7 (d) 18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4 - 0. Let z be (624\/(-225))\/1 - -3. Let x = 9\/25 - z. Which is the nearest to 0? (a) u (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 14 - 42 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 2*k**2 + k - 12. Does 17 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 49*k**2 - 2*k + 102. Determine p(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3913, -15632, -35167, -62518, -97685, -140668?\n\"Answer: -3908*k**2 + 5*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1975 + -1317. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 8*s**2 - 5. Let b be h(-8). Let r(i) = -17*i + 3. List the prime factors of r(b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34874893.89 rounded to the nearest 100000?\nAnswer: -34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3159052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-99)*11)\/(6 - (51 - 8)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 1, c: 2, p: 1}. Give prob of sequence dp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*((-9)\/6)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 67*c - 73. What is the tens digit of w(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 626340 - 626336. Find b such that 54\/13*b**2 + 0 + 0*b - 24\/13*b**3 + 2\/13*b**a = 0.\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(448)*-2 + 0.\nAnswer: 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2 + s. Let q be p(-1). Put 9, q, 2 in decreasing order.\nAnswer: 9, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + q = 608, 12*o - 3*q = 7*o + 1520. Suppose -672*f = -680*f + o. What is the remainder when 187 is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*i + 5*p + 115, -i = -8*p + 190188 - 190175 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -1.626 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60\/11 - 1238\/231. What is the third smallest value in 0, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 3, w: 6, m: 2, o: 1, z: 2}. What is prob of sequence mjoz?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z. Let k(j) = -2*j - 9. Let s be k(-6). Let r(h) = -2*h**2 + 4*h**2 - s*h**2. Determine r(n(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26331183 and 46035.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -13. Determine w so that 9*w + 3 - s*w**4 - 3*w**2 + 3 + 12*w**4 - 9*w**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 6 + 2 + 1 - 2 - 4 + 5 + 1 + (-3 - 3 + 7)*(2 - 4 + 0) + 2 + 1 - 2 + 2 - 5 - 3)*(-100*v + 113*v - 103*v) to the form p + u*v and give u.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1322.927072658 - -11.581523542. Let x = y - 1337.3086. Let u = x - -2.8. What is u rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3576579 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**18)**(2\/11)\/(o\/o**16*o*o**(-2\/47)))**(-48) assuming o is positive.\nAnswer: o**(-429696\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 17*f - 3*y = -6*f - 11, 2*f = 16*y - 14*y - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -889\/3 + 299. Let v = 2796 + -2766. Suppose -v*k**3 + 14*k**5 + 58\/3*k**4 - 50\/3*k**2 - r + 16*k = 0. What is k?\nAnswer: -2, -1, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 8\/61?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 10, 29, 52, 79, 110, 145?\n\"Answer: 2*h**2 + 9*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(18) - (4 + sqrt(1800))) - (-2 + sqrt(18) + -2))**2.\nAnswer: 432*sqrt(2) + 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10*c - 16. What is the third derivative of 9*v**c + 2*v**4 - 83*v - 2*v**4 + 14*v**5 + 86*v wrt v?\nAnswer: 840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*d - 8, 7*l - 4*l - 8 = -4*d. Suppose l*o - o = -5. Suppose 5*n + 105 - 10 = 4*x, o*x = -4*n + 88. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062.586 rounded to 0 decimal places?\nAnswer: -1063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s**5\/5 - 183*s**4\/5 - 47*s**3\/5 + 784*s**2\/5 - 36*s\/5 - 208\/5 = 0. Calculate s.\nAnswer: -2, -1\/2, 4\/7, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*r + 28 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2176405, -2176408, -2176411, -2176414?\n\"Answer: -3*i - 2176402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 10) to base 7.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17026900 by -4256725.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24832188 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: Let r = -28.077 + 28. Round r to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-9) + 28\/12. Suppose s = t*n - 8, 5*s + 2*n + 3*n = 40. Calculate the remainder when 11 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9))**(-2\/77)\/(n*n**(-1)*n*n*n**2*n))**3 assuming n is positive.\nAnswer: n**(-3461\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/7 (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 8. Let c be (-26)\/(-5) - 8\/40. Let a(s) = -9*s + 15. Calculate c*k(m) - 3*a(m).\nAnswer: 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3539, -3, 0.1, 0.4, -4, -26 in ascending order.\nAnswer: -26, -4, -3, 0, 0.1, 0.4, 3539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3 + 17. Suppose f = 4*l - 3*c - 19, 2*c = -2*l - 6. Let p(n) = 0*n**l + 0*n**2 + n**2. Let o(s) = 2*s**2. Determine o(p(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from {l: 5, u: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457519, 914971, 1372423, 1829875, 2287327?\nAnswer: 2744779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 - 2*z. Let n(w) = 7*w - 8. Give n(i(l)).\nAnswer: 21*l**2 - 14*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + ((-900)\/(-54) - 481\/13).\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:42 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 210490 divided by 6\nAnswer: 105245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, m: 1, w: 1, x: 2, c: 1}. Give prob of sequence xq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let t(o) = -2*o. Let v(j) be the third derivative of -j**4\/24 - j**2. Let d(i) = 3*t(i) - 5*v(i). Calculate x(d(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*i**2*i*i))**(-29))**(-1) assuming i is positive.\nAnswer: i**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 2*j - 6, 5*d + 20 = 5*j. Let p = 4 - 2. Suppose d*m + m = p. Solve 2*r = -m*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Solve -4 = -j*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-509)\/(-9671))\/(-1*(-1)\/3*-1)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 443?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, 5, 3, -88 in descending order.\nAnswer: 14, 5, 3, 2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*c - 206715761 + 206713261 for c.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 10*k**2 + 30*k + 6. Let r be y(-13). Suppose 121*w + 14 = r*w. Calculate the least common multiple of 8 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -78*f + 77*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f - 4. Let k(l) = 10 - l - f - 9. Let d(i) = 3*i**2 - 2*i. What is d(k(u))?\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2197 = -218*k + 235 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*h + 19 = -6 + 6, -26 = -2*h - 60 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/649, -0.4, -32122 in decreasing order.\nAnswer: 2\/649, -0.4, -32122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from aaecaeaeaoezcccec?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - 0.2. Let i = -15.5 - -15. Sort b, i, 2.\nAnswer: b, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2730114789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**9\/37800 + q**8\/8400 + q**7\/6300 - 5*q**4\/4 - 5*q. Let u(c) be the third derivative of k(c). Factor u(f).\nAnswer: 2*f**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59486 and 1784580?\nAnswer: 1784580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 54 - 4 + 5 + 1 + (-1 + 1 - 1)*(3 + 1 - 5) + 1 - 1 + 2)*(a - a + a**2)*(23 + 14*a - 23) to w*a**3 + r*a + x + f*a**2 and give w.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - sqrt(133)*2*-1) + (5*(sqrt(133) + 2*sqrt(133) + sqrt(133)) - sqrt(133)))\/(-5*(2*sqrt(175)*3 + sqrt(175) + sqrt(175))).\nAnswer: -23*sqrt(19)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -7 - 7 - (-10 - (4 + 3 + -10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, q: 3, t: 3}. Give prob of sequence tt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -212058.4 and 0.1.\nAnswer: -21205.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2809, -5566, -8309, -11032, -13729, -16394, -19021, -21604?\nAnswer: -24137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 16*d - 3. Let o(t) = -2*t**2 + 16*t - 4. Suppose -5*a + 53 = 73. Let b(w) = a*k(w) + 3*o(w). Factor b(p).\nAnswer: 2*p*(p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2*z**4\/3 + z**3\/2 - 3*z**2\/2 - 6*z. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*u + 3*o, 5*u - 953*o + 949*o = 36. Solve u = 3*w + 2*s + 10, -4*s - 34 = 3*w + s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2323, 4652, 6981, 9310, 11639?\nAnswer: 13968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15 - (-56)\/(-10) - 5049\/(-935). Sort -3, 8.3, t in descending order.\nAnswer: 8.3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304291\/4 - (3\/2 + 196\/(-112)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13)*-1 + 5).\nAnswer: -20 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6066 + 36395\/6. Which is the nearest to -0.1? (a) 3 (b) 16 (c) 0.1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*s**3 + 405*s**2 - 1131*s**2 + 726*s**2.\nAnswer: -176*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/6 - 115*i. Let x(n) be the first derivative of 2*n**3\/3 + 5*n**2 + 13. Give x(p(r)).\nAnswer: 2*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:56 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*z + 76, -5*c - 4*z + 55 + 135 = 0. Does 15 divide c\/(-95) + 207\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b = -199 + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.42495 kilometers in meters?\nAnswer: 29424.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m\/m**(-3\/7))))\/m)\/((m*m**(-2))\/m*m))\/((m\/(m**(-6\/5)*m))\/m**(3\/5)) assuming m is positive.\nAnswer: m**(29\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5556815 from 28.\nAnswer: -5556787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 47*w = -22*w - 10*s + 177, -3*s + 54 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16207973929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 74. Suppose 0 = x*a - a - 36. Calculate the smallest common multiple of 22 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -671*f - 143. List the prime factors of y(-12).\nAnswer: 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(3) + sqrt(75) + 0)*6 - ((-3*sqrt(3)*1)**2 - (sqrt(147)*2)**2)).\nAnswer: 36*sqrt(3) + 566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (0 + 1 + 1). Let p be (18\/(-12))\/((-1)\/2). Let d = p + -3. Solve h - 2*u + 13 - 5 = w, -5*h + 2*u = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*a. Suppose a = -3*b + 11 + 13. What is the highest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -30*b**2 - 9*b. Let l(w) = -91*w**2 - 29*w. Let p(g) = 6*l(g) - 21*t(g). Find the second derivative of p(m) wrt m.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 5. Suppose -j - 1 = p. Is 3*51*j\/(-9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*k - 5. Solve -3*t + 2*x - 3*x = 17, -k*x - 5 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, v: 1, c: 8}. What is prob of sequence tcc?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 111 + 56 - 27*o as m*o + a and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6942985 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1512 - 889. Let z = d + -142. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-200)\/(-6) + (-10)\/30. Let b = 61 + k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/8)*p**(-2)\/p*p)\/((p*p*p**2)\/p)**(-4\/7))\/((p**(5\/3)*p)\/p*p**4*(p*p\/p**2)**38) assuming p is positive.\nAnswer: p**(-1021\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3, -4*r + s + 9 = 24. Let c(z) = 7*z**3 - 9*z - 3. Let d(b) = -4*b**3 + 5*b + 2. What is r*c(w) - 5*d(w)?\nAnswer: -w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 take away 24073283?\nAnswer: -24073570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + sqrt(136)\/sqrt(4)*6 + (sqrt(544) - 2*sqrt(544)))*5*-1)\/(-2*3*(sqrt(32) + sqrt(32)*-2)*-1).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 0 + 4 - (-10 + 7)) + -100 + 95.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 7*v + 56 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127 + 4*a**2 + a**2 + 6*a**2 + 6*a**2 wrt a.\nAnswer: 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -78*w + 12. Let d be z(-4). Let c be d\/90 + (-3)\/5. What is the second derivative of 8*k**c + 2*k**3 - 3*k - 2*k wrt k?\nAnswer: 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-221)*13\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 24 = -3*d, -5*d = w - 7*w + 49 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3711*s**2 + 205*s**2 + 93*s**2.\nAnswer: -3413*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*l - 26, 4*l + 5*c - 12 - 26 = 0. Let d(b) be the third derivative of b**4\/8 + 7*b**3\/6 - 4*b**2 - 136*b. Determine d(l).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-66))\/((-277284)\/(-6602))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2710553 (base 10) in base 14?\nAnswer: -507b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 352?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4589 and 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/6)\/((-1)\/26). Let z be 138\/(-4)*20\/(-6). Let j = z + c. Calculate the greatest common divisor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 303. Let y be j(21). Which is greater: -388 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24195881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 620395 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4265433224.\nAnswer: 2, 13, 89, 460829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132112.7 micrograms to milligrams.\nAnswer: 132.1127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434633, -434661, -434679, -434681, -434661, -434613, -434531, -434409?\nAnswer: -434241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46428 and 2920.\nAnswer: 464280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(1 - (1549\/258 - 5)).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*30\/(-700)*(-28)\/(-56)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 u when three letters picked without replacement from {n: 3, j: 2, u: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from wpxlvxlvvvvwxvwpxl?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -19*b**3\/6 + 205*b**2\/2 + 131*b - 2. Determine d(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**0))**1\/(m**(-2\/19)\/((m\/m**(-6))\/m)) assuming m is positive.\nAnswer: m**(116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*c + 6, -2652*c + 6 = -2653*c - p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 29. Let g(r) = -r**3 + 28. Determine 5*g(x) + 6*z(x).\nAnswer: x**3 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b20 - 17?\nAnswer: -b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10392\/(-891114))\/(4\/(-14)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401038619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 871320451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -3*v - 19\/30*v**5 + 2\/3*v**2 + 0 - 5\/6*v**4 - 7\/45*v**6 - 1\/9*v**3. Factor b(l).\nAnswer: -2*(l + 1)**3*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569264 to the power of 1\/2, to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -14\/9 (c) -23 (d) -2\/13 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 51 = -3*f. Let g = -25 - f. Let v = 81 - g. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 62. What is the least common multiple of p and 4*2 - (0 - -1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/5 - 30382*h**2\/5 - 115368048*h\/5 + 115398432\/5 = 0. Calculate h.\nAnswer: -7596, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/((-1)\/6). Let j be -2 + (q - 0) + 4. Let f(o) = j + 2*o + 0*o - 4. Let s(z) = 2*z**2. Give s(f(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -344 * 0.15\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**3 - d**2 - 3*d. Let c be t(3). Is ((-1407)\/c)\/(2\/12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by 494\nAnswer: 129\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 153841*r\/2 - 23667053281\/4.\nAnswer: -(r - 153841)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 43129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 532, -4, -3, 2.\nAnswer: -4, -3, 0, 2, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256547.\nAnswer: 17, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-12))\/(6055\/(-1038))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 38289428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 8*v**2 + 15*v - 1. Calculate i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.35813782 rounded to 1 decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.012 and 924.01.\nAnswer: 923.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798020 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 2553?\nAnswer: 94\/2553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4314066049 minus -0.105?\nAnswer: -1.3264066049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**3*x**3 + 7792*r**3*x**2 + 2*r**3*x + 470*r**2*x**3 + 8*x**3 wrt x?\nAnswer: -12*r**3 + 2820*r**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 4*p**2 + 2*p. Let x(l) = -l**3 + l**2 - l. What is -r(k) - 2*x(k)?\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g + 2 + 2*g + g - g + (4 - 1 - 5)*(-g - 3*g + 2*g) - 4 - g + 4 - 2*g - 2*g + 3*g + (-7 - 1 - 8)*(0*g + g - 2*g))*(g**2 - g**3 + 3*g**3 + 0*g**2).\nAnswer: 36*g**4 + 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47709, -47704, -47699, -47694?\n\"Answer: 5*z - 47714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {h: 1, y: 5, k: 5, c: 7}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-10) - (-3)\/2. Let v(w) = -10*w - 4. Let i(t) = 9*t + 3. Let c(b) = -5*i(b) - 4*v(b). Give c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843*k + 16 = 4*b - 1852*k, -2*b - 3*k + 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101481 plus 127?\nAnswer: 126.898519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5507 + 143 = 191*n - 653. Calculate the remainder when 1148 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(-28) - 1095\/(-4). Let l = 402 - b. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose 4*r = 16, -5*s - k*r + 85 = -91. What is the smallest common multiple of s and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 plus 0.8?\nAnswer: 525.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7 - 14 = 0. Let k = q - -11. What is the second derivative of 4*s - 9*s**4 + s**k + 6*s wrt s?\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -36, -3, -3\/4, 32?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394443 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: Suppose -576*g + 573*g - 522 = 0. Put g, 5, 4 in ascending order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + 1\/(-2). Let o(f) = -3*f**3 - 225*f**2 - 1. Let z be o(-75). Put -3, 55, u, z in increasing order.\nAnswer: -3, z, u, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309440 is divided by 3773.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*f, -5*f = -z - 4*z + 30. Let l = z + -5. Suppose l = 4*o + 29 - 109. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccocoocooococ. Give prob of sequence co.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 35. Calculate the lowest common multiple of 38 and n(-13).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.94 + -0.06. Let d = f - -1. Which is the closest to d? (a) 4\/7 (b) 0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 402 + (3 - (0 - -5)). Let j be c\/(-20)*(-2)\/(-5). Is j less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 21) + 8 + 35*1. Let l(u) = -4*u + 10. Let s be l(-7). Let y = s - j. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 4884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 56 = b, -n - 2 = -2*b + 16. Let t = 143 - n. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1 + 5.47. Let t = d + 0.03. Suppose 4*h + 17 = 5*y, -4*y - 2*h + 1 = -h. What is the closest to y in -4\/7, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7201*g - 1680*g + 4143*g)*(1 - 3 + 4) in the form m + f*g and give f.\nAnswer: 19328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -439 < -445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108377\/13 greater than or equal to 8338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 7*k - 4*b + 40, 3*k - 28 = -4*b. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - 0.07. Let i be (-15)\/16*(-12)\/18. Is i greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -506 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*v**2 + 0*v**3 + v**3 - 94*v**2 + 4 + (v - v + v**3)*(1 + 1 + 0) + v**2 - v**2 + 2*v**3.\nAnswer: 5*v**3 + 22*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 106263680 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*z - 114 = -3, 2*z = -3*a - 134. Let q = a + 67. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(2))\/sqrt(7))**2 + -4*(-1 + sqrt(5)).\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 4:46 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1560*d**2 + 10*d**3 - 1560*d**2 + 15*d**3.\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/4)\/((-3)\/(-2)). Suppose -z - 5*d = -v*z - 26, 6 = z + 2*d. Let i = 4 + z. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66260928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 586623853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.059*-669\nAnswer: 39.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-161) - (-273)\/1225\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4252011 + 0?\nAnswer: 4252011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 14*v + 5. Let j be z(14). Let x(s) = -5*s + 8 + 2 - j*s + 6*s**2 + 12*s - 5*s. Let o(h) = 4*h**2 - 2*h + 7. Calculate 7*o(i) - 5*x(i).\nAnswer: -2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1382 + 0.1382. Let m = -1.39 + -0.31. Let p = m - -2. What is the third smallest value in r, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 30 = -y. Let f = -8 + 6. Let v = y + f. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-279)*-3 - (-1764)\/(-434). Let y(h) = -30*h**2. Let q(b) = 31*b**2. Calculate f*q(t) - 5*y(t).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/27*51*84\/(-8). Let a = 258 - b. What is the remainder when 29 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + a**4 + 0*a**4)*(-70*a + 2 + 151*a - 80*a) + 3*a**3 + 2*a**5 + a**3 - 6*a**3.\nAnswer: 4*a**5 + 4*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 872 + 3642. List the prime factors of w.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.229388 microseconds in days?\nAnswer: 0.00000000004895125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*((-27)\/(-6))\/3. Let f be -2*3\/3 + l. Which is greater: 2\/243 or f?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.391*1.\nAnswer: -3.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, -3, -8\/11, 0.3 in ascending order.\nAnswer: -3, -8\/11, -0.5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 24. Differentiate 54*f - 54*f + 21*f**n + 8 with respect to f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*t = 12, -2*k + 2*t + 4 = t. Suppose -1 + 41\/2*a**k - 37\/2*a**2 + 15\/2*a - 21\/2*a**4 + 2*a**5 = 0. Calculate a.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10492416 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (-8 + -11 + 24 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6058 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2)*15\/27*(-90 + 91)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4568248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 - 1020*f**2 = 0 for f.\nAnswer: 0, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-785)\/(-7536)*(-3)\/(-5).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - -122. Suppose 0 = -h*g - 11*g + 7*g. Let c be (-120 - g)*(-1990)\/(-3). What is c rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 84*v**3 - 36*v**2 + 36*v. Let s(y) = -12*y**3 + 5*y**2 - 5*y. Determine 5*a(l) + 36*s(l).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 36 + 20 = -2*z, 2*z = -4*t + 70. What is the nearest to -0.03 in 4, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -311, -537, -851?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4)**(3\/26)*(y*(y\/(y*y\/y**2))\/y)\/(y**2\/y) assuming y is positive.\nAnswer: y**(15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -6. Let y = -5 + m. Put -1\/9, y, -0.4 in increasing order.\nAnswer: -0.4, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558603 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9108.706*-2.\nAnswer: 18217.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 389.\nAnswer: -1945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29466435563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(48)\/(sqrt(6)*-4) + 5 - (sqrt(200) - -3*sqrt(200)*-3 - sqrt(200))) + -3)**2.\nAnswer: -96147\/2 - 1074*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220994.\nAnswer: 2, 47, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42069\/26 or -2?\nAnswer: -42069\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 29 = 2. Suppose i + 25 = 3*i - 5*s, 4*i - 63 = -y*s. Let n = 75 + i. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-5 - -9)) + 1429025\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257829 is divided by 776.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 32225 = 457*i + 274*i - 6200 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(11)*-4.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 60188.\nAnswer: 180564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*a**3*y**4 + 2*a**3 + 82*a**2*y**2 - 2*a*y**4 - 4*y wrt y.\nAnswer: 744*a**3*y - 48*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 9*n - 15*n + 3*n + 22 - 18*n. Calculate c(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 - 38162700*l + 121365972607500 = 0.\nAnswer: 6360450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/24 + 14\/4 + 0. Suppose -4*x + 1087 + 1721 = -f*o, 2*x + o = 1389. What are the prime factors of x?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 1 j when three letters picked without replacement from hccjqrht.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 50 - 46*d + 96 - d**2 + 89 - 53.\nAnswer: -d**2 - 46*d + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298.84797 + 4.\nAnswer: -294.84797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*v**2 + 140*v**2 - 2144*v**2 - 1472*v**2.\nAnswer: -3112*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 550*1.4\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.04, 1, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/(l*((l*(l*l**(2\/61))\/l)\/l)\/l)*(l**(-12)*l)**(-9\/8))**(-17) assuming l is positive.\nAnswer: l**(-315469\/1464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4348.58 and 0.4.\nAnswer: -4348.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**14*p**(-2\/35))**(-13) assuming p is positive.\nAnswer: p**(-6799\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11678 - 6682 = -4*g. Round g to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-620)\/(-30690))\/((-4)\/36).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + f. Let g(y) be the first derivative of 0*y**5 + f*y + 4\/9*y**3 - 1\/9*y**6 + 0*y**2 + 4 + 1\/2*y**4. Factor g(t).\nAnswer: -2*t**2*(t - 2)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*t - 1 = 1, -4*r - 4 = 3*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 266 = -38*h. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 152157, -2\/19, 0.05?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 0*t + t)*(-18*t - 6 + 6)*(259*t + 126*t + 11*t) to the form a*t + j*t**3 + m*t**2 + k and give j.\nAnswer: -14256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n - 3. Let p(t) = -36*t - 28. Let s(h) = -28*i(h) + 3*p(h). Let z(q) = 7*q. What is s(z(d))?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144660 - 0?\nAnswer: -144660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + w + 12, 0*s + 3*w + 8 = -2*s. Let u(o) = -2 - o**s + o + 4 + o**2 - o**2. Calculate u(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1472)\/644)\/((-12)\/(-42))*(-2)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*u**5 - 932*u**4 + 2708*u**3 - 1312*u**2 - 512*u = 0. Calculate u.\nAnswer: -1\/4, 0, 1, 8\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-15)\/(675\/(-18))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**3\/6 - 2*k**2 + k. Let c be z(-6). Let w be (1 + (-7 - -4))\/1. What is the closest to 1\/5 in c, -3, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3131*h - 46 - 3134*h + 6258*h)*(3*h - 5*h + 0*h) to w*h**2 + o + g*h and give g.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1345*b + 1 - 17.\nAnswer: -1345*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180) + sqrt(180))**2 + sqrt(180) - -1*sqrt(605)) + -5.\nAnswer: 17*sqrt(5) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 42*z**2 - 29*z**2 - 22*z**2. Let t(d) = d**2. Calculate a(t(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - n = -4*n + 17, 4*s = 3*n + 7. Let l(w) be the first derivative of -5 - 3 + w + 3 + w**4 - s*w. Differentiate l(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 683446001.999717 + -683446366. Let c = -583 - -219. Let f = u - c. What is f rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 3*k**8\/560 - k**4\/4 - 5*k**3\/3 + 7. Let a(w) be the third derivative of u(w). Differentiate a(o) with respect to o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69947, 139825, 209643, 279395, 349075, 418677, 488195?\nAnswer: 557623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9930991)\/(-4) + ((-33)\/(-154))\/(2\/(-7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 182960.694 nanoseconds?\nAnswer: 0.000000000302514375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f + 2*f)*(-1519*f + 757*f + 758*f + 74) + (-f**2 - 2*f**2 + 2*f**2)*(-1 + 5 - 2).\nAnswer: 10*f**2 - 222*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u + 161*u + 5*g = 86*u - 2, -3*u = 5*g + 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 602.25 + 2.75. Let k = -605.353 + w. What is k rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 2*g**2 - 5*g**2 + (0*g + 2*g + 0*g)*(-2*g + 2*g - 2*g) + (-4 - 1 + 3)*(-3*g - g**2 + 3*g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37897 + -11138. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -5) + 1 + 0\/(-3). Solve -2*p - 3*w = v*p - 25, 5*p - 2*w - 14 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4 - 15508*d**3 - 28973162*d**2 + 4222425192*d - 148266262152 = 0.\nAnswer: -3946, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose -5*q + 3*d = 14, 3*q - a*d = -0*d - 6. Let c(o) = -7*o - 3. What is the units digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 46\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - h + 16*h)*(-4*h + 5*h + 0*h) + (4*h - 3*h + 0*h)*(h + h + 0*h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) 95 (c) -4\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -16\/135945 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvffooooo. What is prob of picking 1 v and 3 f?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 11*s**2 - 12*s + 4. Let x be l(-12). Let z be (4\/3)\/((-6)\/(-5) - (-280)\/(-300)). Solve -3*p + 15 = -x*a, -z = -8*p + 3*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 22464?\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -13 + 30 + -37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40016 - -18053. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3195 is divided by 353?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + x**2 - x. Let k be a(1). Let r(y) = 2 - 1 - y**k - 2*y**2. Suppose 5*j - 5*m = 0, -9 = 2*j + 5*m - 2. Determine r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34625\/56 + 4995\/8. What is the common denominator of x and -33\/2696?\nAnswer: 18872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggnzxnzgzggyxnoxoxgn. Give prob of picking 2 g.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-6)*24\/84*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/17 + 271\/85. Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2910+-11.73\nAnswer: -2921.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y + 5948160. Let j be 0\/(3 + -6) - y. Suppose 0 = 5*p + 4137040 - j. What is p rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*d + 19 = -3*c, -3*c + 2*d + 3 = 0. Let l be c\/(-2) - (-3)\/2. Suppose -2*h = -l*j - 13 + 265, 0 = -j + 2*h + 125. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let v = -18 + 22. Put w, v, 2 in ascending order.\nAnswer: w, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/17)*d**(8\/9) assuming d is positive.\nAnswer: d**(109\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/30*57 - (-4)\/(-10). Suppose 0 = n - 0 - 2, 2*n = -2*x + t. Is 11\/(-2)*((x - 5) + -10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 17. Let r = 5 - 8. Which is the second smallest value? (a) u (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 = 10. Let k be 11\/(3*(-3)\/18). Let c = k + 24. Sort -8, c, a in decreasing order.\nAnswer: a, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 752*302\/7097*(3\/(-2))\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95437250216555\/71374268422872 - 1121\/238123777. Let y = -42\/4163 - s. Find the common denominator of y and 47\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 2369*x**9\/504 - x**8\/336 - 4919*x**5\/60 + 1079*x**2. Find the third derivative of z(y) wrt y.\nAnswer: 284280*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13290.6044 rounded to the nearest one hundred?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 1116. Let d = a + -391. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 + 123808*z**2 - 5446100*z + 59901776 = 0 for z.\nAnswer: 22, 123764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -44990, 59 in increasing order.\nAnswer: -44990, -45, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6508.461 centuries?\nAnswer: 65084.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -8)*10\/12. What is the third derivative of -484*b**2 + 882*b**2 - 494*b**2 + 23*b**6 + c*b**3 wrt b?\nAnswer: 2760*b**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128969861 is divided by 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*u + 4)*(-5*u**3 + 0*u**3 + 2*u**3) - 22*u - 10*u**4 + 22*u.\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835067800 rounded to the nearest one million?\nAnswer: 3835000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2 and -79\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-1 - 10\/(-6)). Let h(p) = 10*p + p**2 + p**3 - 10*p**x + 2*p**2 - 20. Let w be h(6). Solve 0 = 5*k - w*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y + 180 = -84*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 2\/13, -10, 35.7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 0, -15 in descending order.\nAnswer: 30, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65779 = 3*a + s + 4132, -5*a + 102738 = 4*s. Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410 + -21?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*171\/(-12))\/(-3). Is x not equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*q**3 + 222*q**4 - 2*q + 15*q**3 - 107*q**4 - 113*q**4 + 72*q**2 to t*q + u*q**2 + p + w*q**4 + i*q**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 1. Let p(d) = 8*d**2 + 3*d - 7. Determine -2*p(h) + 14*u(h).\nAnswer: -2*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*b**2 - 56*b**2 - 2009*b**2 - 145*b**2.\nAnswer: -3086*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29, -0.04, -1712, -4\/3, 3 in decreasing order.\nAnswer: 29, 3, 2, -0.04, -4\/3, -1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257101.\nAnswer: 13, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 8 = -4*i. What is k in -k**i + 15*k - 20*k + 10*k - 4 + 0*k**2 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 - j**5\/10 + 11*j**4\/24 + 4*j**3\/3 - 25*j**2. Calculate h(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7488 divide 2457763776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*2*sqrt(153) - ((sqrt(153) - -2*1*sqrt(153)) + sqrt(153))))**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 298178576 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 - 11*s + 5 as j + n*s and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i + 3*n, -3*i + n + 9 = -5*i. What are the prime factors of 0\/i - (1 + -75)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5*b - 3*b)*(-4*b**3 + 3*b**3 - b**3) + 12*b + 7*b**4 - 17*b**4 - 13*b + (-11 + 0 + 3)*(-2*b**2 + 2*b**2 + b**4).\nAnswer: -20*b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -84434.552 to the nearest 1000.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 6 + 10 + 6489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11266*h + 2*h**2 + 5683*h + 5624*h.\nAnswer: 2*h**2 + 41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 888555 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/360 - 2*d**5\/15 - 7*d**4\/8 - 2*d**2 + 360*d. Factor z(c).\nAnswer: -c*(c + 3)*(c + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 40 = 3*x - 5*o, 3*x - 2*o = -9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 14 = -y, -3*q - 2*y - 2 + 15 = 0. Suppose q = 5*a, 3*o + 2*a + 2*a = 13. Factor 12*c**2 - 7*c**2 + 15*c**2 + 28*c + 25 - 13 + 4*c**o.\nAnswer: 4*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 73*b - 4348. Give m(44).\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, 5, -2, -5, -282, -1 in increasing order.\nAnswer: -282, -5, -2, -1, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a**2 - 3*a - 2. Let x be 2\/((-1)\/((-5)\/2)). Suppose 0 = o - x*o. Suppose o*f + 2 = -f. Give y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3104*p - 6139*p + 3034*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430199 to the power of 1\/2, to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24105514407005*z**2 + 614796280*z - 3920.\nAnswer: -5*(2195701*z - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 4581*j - 54673. Determine b(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -577 greater than -579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 8. Let s = 171.2 - 32.2. Let z = s + -138.7. What is the biggest value in -3\/5, z, -2\/5, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*g - 1818 = -460*g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**3 + 39*b**2 + 7049*b + 56469. Determine t(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/12)\/((-1)\/(-2)) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 10:59 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 57.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 517\/470*150\/462?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 2*u + 2*u)*(-1785*u + 3*u**2 + 1774*u + 1 - u**2).\nAnswer: -10*u**3 + 55*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1526412 and 0.\nAnswer: 0.1526412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816 greater than 2819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + -5*sqrt(76)\/sqrt(4)*-4 + -3 + 1 + sqrt(475) + -1)**2*4.\nAnswer: -142548 - 1200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-421)\/(-2) - (-13)\/(-26). Calculate the highest common divisor of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 = 399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*f + 1908 = -280*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 12 + 5 + 44*s - s**3 - 9 - 8 to u + k*s + o*s**3 + y*s**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378180270 divided by 195.\nAnswer: 1939386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 18\/7, 78, -2, 3\/7 in descending order.\nAnswer: 78, 18\/7, 3\/7, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(108)\/(sqrt(72)\/sqrt(6))) - (1*(sqrt(2) + (sqrt(4)\/sqrt(2) - sqrt(2))**2) - (sqrt(2) + (sqrt(2) - (-1*sqrt(2) + sqrt(2))) + -2)**2).\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 1244*b**2 - 2473*b**2 + 3*b + 1217*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11010 (base 2) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 78*i - 76*i + 71852, -i = 5*n - 179630. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 - 2*l**2)*(2*l - 2*l**3 - 2*l)*(3 + 2 + 0).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 490 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 5. Let r be ((-126)\/546)\/((-252)\/728). What is the biggest value in 0.3, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/7)\/3)\/((-2)\/2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + 3. Let z(q) = q**3 + 7*q**2 + 7*q + 7. Let x be z(-6). Let a be -3 + x - (n + 0). Let c(b) = -5*b**2 - 1. Determine c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-2)\/96*3). Let y(m) = -4125*m**3 - 2*m**2 + m. Let n be y(1). Is n\/(-10) + f\/40 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -138*b**2 - 1728*b + 17. Determine p(-13).\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 129 - 1. Let z(a) be the first derivative of -a**4\/4 + 11*a**3\/3 - 5*a**2 + 3*a + 1. Let q be z(u). Put -1, 2, q in increasing order.\nAnswer: -1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1199217 + 1197165.902. Let a = j - -2049. Round a to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 5*b. Suppose 2 = g - b. Suppose 0 = q - g - 15. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 69*c + 86. Give q(38).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834423793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 347370203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 5660*m**2 + 121065*m.\nAnswer: -5*m*(m - 21)*(m + 1153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + v)*(-5*v + v + 0*v)*(2 + 1 - 2).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3257*l**3*y**3 + 48*l**3*y + 33*y**2 wrt y?\nAnswer: -19542*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:21 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**3 - 5*a + 5*a - 22*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.7\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 101000?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 39. Let t be (-2 + 11\/4)*-24. Let i be p(t). Suppose -i*q + 77 = 5*m, -3*q + 2*m = -2*m - 41. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, -2, -25 in increasing order.\nAnswer: -194, -25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 20, -1404 in increasing order.\nAnswer: -1404, 1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 7*y - 20 = 2*j, 3*j + 3*y + 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48688614 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.696 - -0.089. Let i = -3.607 - u. What is the nearest to i in 2\/3, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y. Let f(k) be the first derivative of k**2 - 5*k - 1. Let p(n) = 2*n - 6. Let u(w) = 6*f(w) - 5*p(w). What is m(u(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2660 + 288. Let h = x - -33231\/14. What is the common denominator of h and 59\/(-4) - (1 - 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(931) + sqrt(931) + -1)*2 - (4 + -6*2*sqrt(931)))**2*6.\nAnswer: -37632*sqrt(19) + 5721240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 - 2*k**2 - k - 2. Let s(u) = -7*u**3 - 5*u**2 - 2*u - 4. Let f(o) = 5*d(o) - 3*s(o). Let n be f(-4). Solve -5 = 3*j - n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 2*k**4 + 84*k - 313*k - 39 + 228*k to the form x*k**4 + g*k + t*k**3 + z + r*k**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90483.\nAnswer: 3, 30161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose 1 = r*s - 3*s - 3*v, 5*v = -5*s + 15. Suppose 0 = s*l - i - 245, 2*l - 40 = l + 2*i. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672601.\nAnswer: 227, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 881088689 divided by -13\nAnswer: -67776053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**2 + 46*v**2 - 24*v**2 + (-2 - 1 + 2)*(-10 + v + 10)*(-1 + 1 + v) in the form p*v**2 + s + t*v and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2387.7 and -1.\nAnswer: -2388.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -692 - -692.7. What is the third smallest value in x, -12, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 28. Suppose 1704 = n*m - 35*m. Suppose -2*t = -94 - m. Is t a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27324, 27325, 27326?\nAnswer: 27327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1183*h - 416. What is the tens digit of d(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**3 - m**3 - 4*m**3)*(-23*m + 2*m + m)*(4 - 1 - 1)*(-10 - 12 + 7)*(-2 - 3 + 4) as p*m + f*m**4 + b*m**2 + z*m**3 + h and give f.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33089 take away 0.1?\nAnswer: -33089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 - 2 + 4*d**3 + 0 - 10*d + d**3. Let t(y) = 0 + 1 - 3 - 1 + 2. Let q(z) = -r(z) + 2*t(z). Factor q(f).\nAnswer: -5*f*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzvkvah. Give prob of sequence ahk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Suppose -n = 2*o - 292, -4*n - r*o + 601 = -567. Let p = n + -137. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.147312 years to months.\nAnswer: 109.767744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24338, 24334, 24330, 24326, 24322, 24318?\nAnswer: 24314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**3 - 3*a**2 + a + 4. Let h be x(-2). Let j = 123 + h. Solve 4*f + 10 = j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - 2*h - 2*h + (-80*h - 83*h + 194*h)*(-1 + 4 - 5).\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 minus 7596.3?\nAnswer: -7614.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from twagvtgv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (5712483\/38 + 31)\/((-1)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 700 - 730.9. Let v = s - -30.90000772. Round v to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 150 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*s**3 - 316*s - 3*s**3 + 3*s**2 + 314*s wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((-82)\/(-205))*3\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 68*j**2 + 4*j - 2. Let u(b) = 2*b**3 - 68*b**2 + 3*b - 3. Calculate -3*p(t) + 2*u(t).\nAnswer: t**3 + 68*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29419035281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.329 (b) -0.9 (c) -0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 408, 62, -1810, -5970, -13180, -24202, -39798?\n\"Answer: -127*r**3 - r**2 + 546*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 20*g**3 + 155*g**2 - 24*g - 19. Give m(-8).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 4. Let k(q) be the third derivative of q**4\/24 + 3*q**3 - 13*q**2. Let j be k(-12). What is x(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 31*c - c - 946. Suppose 2*w + 20 = -4. What is the remainder when c is divided by (-210)\/w - (-1)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 557, 572, 611, 686, 809, 992?\n\"Answer: 2*d**3 + d + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 135. Let k = r + 45.9999264. Round k to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxxslllssslssllx. Give prob of sequence ls.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 1 - 3) + -12 + (10 - -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(192))**2 - sqrt(3))*4 - (sqrt(33)\/(sqrt(11) + 2*sqrt(44) - sqrt(11)))**2.\nAnswer: -4*sqrt(3) + 49149\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/(-48)*3\/1 + -4. Let b be q\/(-2)*(12 - 13) + 6. Factor -1\/2*h**3 + 0 - 9\/2*h + 3*h**b.\nAnswer: -h*(h - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/312216 and 19\/143099.\nAnswer: 3434376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*11\/1573*1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3175.59 months to millennia.\nAnswer: 0.2646325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24604024.\nAnswer: 2, 251, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78047.125 - 1184.\nAnswer: 76863.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (0 - 0)) + (10 - (-8 + 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 295 + 95 = 0. Suppose 64 = 3*b - d. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.76 + 3.46. Let t = -67 - -81.1. Let h = n - t. What is h rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0, -139145.\nAnswer: -139145, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsfsfffskksfkfkffs. What is prob of sequence ff?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + t - 1. Let r(z) be the first derivative of -34*z**3\/3 - 2*z**2 + 4*z + 3123. What is -4*j(s) - r(s)?\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/96695 and 79\/342790.\nAnswer: 79870070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-4))\/(-2 + 1). Differentiate -3 + 0 - r**p - r**2 + r**2 wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 + 0.36. Let t = -47 - 13. Let i be 6\/15 - (-14)\/t. Which is the nearest to 2? (a) 1\/3 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9382?\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43850533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311 + 654. Calculate the highest common factor of 49 and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 3073, 8839, 17463, 28975, 43405?\nAnswer: 60783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*x + 2*l, -9851304*x + 9851302*x + 4*l - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -0.9087328592705.\nAnswer: 1.0912671407295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 2*a - 31, -3*o + 5*a = 6*a + 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*n - 6 = 0, 0 = -5*w + 2*w + 2*n + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, y: 3}. What is prob of sequence km?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 37*g - 6. Let i = -2 - -5. Let b be m(i). Suppose 3*p - b = -2*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 + -95. Let o be (8\/(-4))\/(4\/(-94)). Suppose 0*j = -5*p - 2*j + 71, 3*p - j - o = 0. What is the greatest common factor of b and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 36*m**3 + 126*m**2 + 156*m + 63.\nAnswer: 3*(m + 1)**2*(m + 3)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5 + 18*a**4 - 15*a**3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 2267419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467496 is divided by 839?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/((-111)\/105 + 1). Suppose 5*p - n = -2*s, 6*p - s = p + 155. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9418461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24189358 is divided by 4837871.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 155*n**2 - 5 + 72*n**2 + 15*n**4 + 82*n**2 - n + n as r*n + f*n**3 + t + p*n**4 + y*n**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 5:49 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2. Let q(d) = -14311*d. Calculate q(a(z)).\nAnswer: 100177*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*q, 3*q - 57491 = 3*w + 2*w. Round w to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 29*u**2 + 47*u - 81. Is s(-50) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 6, q: 4}. What is prob of sequence qqe?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20153.\nAnswer: 7, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 25 = -5*b - 2*k, -25 = -5*k. Let x(j) = 7*j + 23. Calculate x(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 950, 2282, 4874, 9146, 15518?\nAnswer: 24410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 11 (c) 1\/8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 8:18 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10380 divided by 519\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/5 + 27*x\/5 + 42\/5 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5973, -12330, -18687, -25044, -31401?\nAnswer: -37758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1066 + -1047. Which is the nearest to -0.4? (a) p (b) 1\/5 (c) 1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1158 divide 58260307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(300) - (sqrt(300) - (sqrt(300) + 3))) - sqrt(300)) + 2 + 3*((1*sqrt(600))\/sqrt(2))**2.\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22791929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and 1.26.\nAnswer: 84.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*g - 12, 5*r + 2 - 10 = 3*g. Suppose 4*i - 4 - r = 0. Solve -p - 1 = i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:16 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 242*r**4 - 7350*r**3 - 6550*r**2 + 208352*r - 194208 = 0.\nAnswer: -68, -51, -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*q = -908*q + 6*v - 35, 0 = -16*q - 5*v - 55 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 2*t + 56490. Let m be t\/9 - (2 - (-8)\/(-3)). What is the second derivative of 39*q**3 + m*q**2 - 1256*q**2 + 2*q wrt q?\nAnswer: 234*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2930*t**3 + 2*t - 25684.\nAnswer: -17580*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2\/31, -3, -0.03, -2\/275?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127\/2 + 637\/10. Sort k, 0.3, -5.\nAnswer: -5, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 = -l, 1081*i - 2 = 1078*i - l. Factor 16\/9*s**4 + 2\/9*s**5 + 76\/9*s**i + 50\/9*s**3 + 56\/9*s + 16\/9.\nAnswer: 2*(s + 1)**2*(s + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (16 - 16) - 8 - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 6. Let f(m) = -53. Let x(p) = 54. Let g(j) = 2*f(j) + 2*x(j). What is 7*g(s) - 2*y(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 21. Suppose -4 = 4*c - g*c. Suppose c*z = r, z = 5*z - 8. What is the lowest common multiple of r and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbw when four letters picked without replacement from {w: 12, b: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.101 (b) -28750 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*o + 17 = 0, -4*u - 2 = -u - 5*o. Let c be (1 - u\/(-11))*-1. Is 1\/4 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:35 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 1816209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -142314?\nAnswer: -142313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 6*k**2 + 6*k + 1. Determine w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 2*t**2 - 41*t - 19. Is p(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2820758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 2*n - 4*n in the form a + r*n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3\/3 - 4644*b**2 - 682784*b - 76959424\/3 = 0. What is b?\nAnswer: -3331, -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 868629 times -57?\nAnswer: -49511853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 86*p + 833. Let u(v) = 3*v + 10. Determine u(z(i)).\nAnswer: 258*i + 2509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1532 + -2?\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-82)\/205*(-27)\/6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 927 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3768*y + 113018. What is d(-30)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 5 - (-10 + 62 + -22)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17cc - -11?\nAnswer: -17bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1247?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2194\/447 or -4?\nAnswer: -2194\/447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/581247 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 0.02. Let p = 17.6 + -17.8. Which is the nearest to w? (a) -2 (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2450.\nAnswer: -1\/2450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -11*2*(-3 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6*x. Suppose -i + c - 3 = -10, x = 3*c. Calculate the remainder when i is divided by 2\/(-1) + 2 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*r + 170, -3*s + 5*s - 130 = -2*r. Suppose v + 80 = 3*v. What is the highest common divisor of s and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1018324 or -1018323?\nAnswer: -1018323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 - 3 - -6) - (0 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*w - 2*w. Let l be 2 - (-13 - w)*-201557. Let a = l - -1008682. What is a rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + -0.005.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 6, o: 9}. What is prob of sequence ooo?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(-3*f - f + 6*f) - 11*f + 3*f - 2*f)*(-2 + 1 + 0).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.019 in -3, 4, 8\/5, 98, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/29 and -4\/203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16500 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**0*k))**(-31)*(k**(-2\/7))**(5\/4)*((k**(2\/9)*k)\/(k\/(k\/(k\/(k**(-6)*k)*k))))\/(k**(-2\/13)\/k**(-1\/3)) assuming k is positive.\nAnswer: k**(-10343\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -482 - -481.5. Put 53, -1\/5, d in descending order.\nAnswer: 53, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -13142134?\nAnswer: 13142142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329351, -658732, -988113, -1317494, -1646875, -1976256?\nAnswer: -2305637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 + 122 = 5*d + 3*c + 110, d - 9*c + 473 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1935*o**3 + 19 + 11*o**2 - 1930*o**3 + 16 + 24.\nAnswer: 5*o**3 + 11*o**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39355255?\nAnswer: 5, 17, 463003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:40 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.28 minus -79548000?\nAnswer: 79548853.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4741 - 4708. Let h = 0.02 + -0.02. Which is the nearest to l? (a) h (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -114, 0.1 in ascending order.\nAnswer: -114, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/1863*(-3)\/(-2))\/(13815\/(-16578))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*n + 28, -33 = -4*x - 3*n - 10. Suppose 6*a - x = 2*a. Suppose -2*m + m + a*d - 234 = 0, -1150 = 5*m - 5*d. Round m to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q - 18. Let d(b) = 9*b + 19. Let f(u) = -4*d(u) - 3*n(u). Differentiate f(s) with respect to s.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - 3*sqrt(2299))*-3 + (1 + sqrt(2299))*-3 + sqrt(2299))**2.\nAnswer: -264*sqrt(19) + 36793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/2035 and 6\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-18)*(-9)\/2. Let j = -11197\/10 + 1114. What is the common denominator of ((-12)\/10)\/(q\/28) and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5, 8*r = g + 3*r - 25. Let x = 116 - 277. Find the common denominator of -51\/10 and g + (-4)\/(-26) - x\/221.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 + 5*o + 15. What is a(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 6*q**3 + 8*q**4 - 9*q**4 - 3*q**4 - 2*q**5 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(5200\/3)*4952\/3714.\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 96239 * -47\nAnswer: -4523233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**7\/210 - o**4\/12 + 5*o**3\/6 + 2*o**2 - 41*o. Let b(n) be the second derivative of v(n). Let h(i) = -8*i. What is h(b(w))?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/6*9\/(-6). Let u = 19 + k. Solve 2*g**2 - g - 2*g**2 + u*g**2 - g**2 - 2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/130 and 6\/17485?\nAnswer: 34970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20852325 and 4277400?\nAnswer: 166818600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccxxcxcccccccxcccxc?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427 and 169153488?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 8. Let k be a(0). Let w be k\/(-6) + 2\/(-3). Let u(r) = r**2 + 2*r + 1. Give u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10800 and 6098800.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335.999999861 - -336. What is f rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 - 4*h**2 + 709 + 516 - 288 - 2*h**2 in the form p*h + u*h**2 + i and give i.\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 394 + -16302447\nAnswer: -16302053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - (-10 + -5103 + 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22968, 1, 26, -3, 2.\nAnswer: -3, 1, 2, 26, 22968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5492179?\nAnswer: 7, 11, 71327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/4*(-9)\/6. Suppose 2*l = w*l - 50. Suppose -d + 4*d + 64 = 5*t, 4*t - 3*d - l = 0. Calculate the smallest common multiple of t and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a - 11 - 11*a**2 + 8*a**2)*((2*a**2 + 0*a + 0*a)*(-1 + 3 + 0) + 0*a**2 + 3*a**2 + 6*a**2).\nAnswer: -52*a**4 - 26*a**3 - 143*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 3*o**4\/2 + 5*o + 5. What is the first derivative of u(t) wrt t?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 18 in decreasing order.\nAnswer: 18, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47824 divided by 23912?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(104) + sqrt(104)*-4)*-3)\/(sqrt(2) + sqrt(8)\/(sqrt(24)\/sqrt(6))))**2*-6.\nAnswer: 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*m - 57, m + 2*i + 58 = -2*m. Let q = m + 56. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*j - 3*j - 10 = 0, -3*d - 4*j = -35. Suppose -2*l = -d*l + 72. Let i be l\/9 + (-2)\/1. What is the nearest to 0.1 in i, 0, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 23 + 12 - l**4 + 8 + 12*l - 2*l**3 + 3*l**3 to the form u*l + t + q*l**3 + k*l**4 + s*l**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35676.\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 2 - 16. Suppose u*d = -d. Find t such that 0*t**2 - 3\/4*t + 3\/4*t**3 + d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355597 divided by -355597.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2892 and -0.03.\nAnswer: 86.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7461 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 65151326.\nAnswer: 2, 32575663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 27*z**2 - 2*z - 2. Let l(m) = -13*m**2 + m + 1. Let g be -9*3\/63*(-28)\/(-4). What is g*a(p) - 7*l(p)?\nAnswer: 10*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 197624 and 112928?\nAnswer: 790496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1.08. Let r = c - 0.1. Let d = r - -0.0194. Round d to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 2. Suppose -p - 3 = -2*w + 3, -4*w + 20 = 0. What is the remainder when p is divided by -4 - -21*c\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 7802 + 20*y + 7802 - 20*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 20620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1228, 1236, 1244?\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 4\/11 (c) 1.7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 15*r + 35 = 0. Suppose r - 31 = -l - 5*v, 79 = 4*l + 3*v. What is the remainder when 62 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 38*u**2 + 3*u + 1. Let m be c(-1). Let b be (m\/90)\/(1\/15). Suppose f = b*f + 25. Sort f, 4, 5 in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + (-9)\/(-12))\/(3\/84) is divided by (-19)\/(-3) - (-1)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2749457 or -2749463?\nAnswer: -2749457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 400 + -400.000047. Round p to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 62836169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let v(b) = 13 + 5 - 18 - 16*b. Give v(y(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254 and 12.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/60 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 3, s: 5}. What is prob of sequence zzsl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(95) - sqrt(95)) + sqrt(95))*-2)\/(((sqrt(180)*1 + sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180))*-6) + 1.\nAnswer: sqrt(19)\/27 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*b + 11 - 11 - 535*b)*(-17*b**3 - 7*b**3 - 9*b**3).\nAnswer: 13728*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2819b80 - -b?\nAnswer: 2819b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 3 - 2*h + 8*h + 1. Give l(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.4 take away 16250?\nAnswer: -16324.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 153486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/18 + 62\/(-90). Which is the fourth smallest value? (a) -3 (b) -0.3 (c) i (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.288 times 1?\nAnswer: -1.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 9. Let v(o) = -4*o - 9. Let f(g) = 3*k(g) - 2*v(g). Let l be f(-12). Let n(x) = -l + 8 - 8 + 6*x - x**2. What is n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79\/4 + -391\/20. What is the second smallest value in 9, g, 3, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123196150 divided by 123196150.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 694562.925*-0.3.\nAnswer: -208368.8775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 33\/815?\nAnswer: 33\/815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9658124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {i: 1, s: 1, d: 2, g: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o - 2*o**5 + 4*o**5 - o**5 + 2*o**5 - o**5 + 5*o**5 - 2*o**5 + (-o**5 + 0*o**5 + 3*o**5)*(-1 - 1 - 1).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8209885700 rounded to the nearest one million?\nAnswer: -8210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7935899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29\/456 - -2\/19. Let q(h) be the second derivative of -1\/24*h**3 + i*h**4 - 1\/80*h**5 - h + 0*h**2 + 0. Let q(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422401 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t - 22. Let m(v) = 6*v - 8. Let w(c) = 11*m(c) - 4*y(c). Let b(u) be the second derivative of -7*u**4\/12 + 8*u + 2. What is b(w(i))?\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*y - 4 = -190*y - d, -2*y = 5*d + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4413 + -4412. Let d = 2.7 + 0.3. What is the nearest to 5 in -3, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b**2 + 32*b + 33. Determine w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134 less than -60110264?\nAnswer: -60112398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 8*t - 334 = -275, -2*t = h - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 9*q**2 - 10*q + 2. Let x be f(-10). Suppose 0*d = -4*d - 3*l - 13, -x*d + 5*l = -13. Sort 1, 3, d in descending order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-2) + 3)*4. Suppose -2*w - n = -2*n + 19, 56 = -4*w - 4*n. Let m = w - a. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 32. Let f be 1\/(-4) + 2\/u. Solve 2*y + 9 = -3*i, f = 3*i - i - 5*y - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1110 + 1110 - 253*s + (-1 - 3 + 2)*(-s - 3 + 3) - 3*s - 4 + 4 + 3*s - 2*s - 2*s.\nAnswer: -255*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (10 - 5 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6278\/87 or 73?\nAnswer: 6278\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121)*-1 + sqrt(121) + sqrt(121) + (sqrt(121)*-2 + sqrt(121))*1)\/((sqrt(110)*2*4)\/sqrt(10)))**2.\nAnswer: 99\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(sqrt(19) - (1*sqrt(95))\/sqrt(5))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -11211368.\nAnswer: 11211372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 43*l**2 - 796*l + 130. Determine a(-57).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 20 = -5*m, -5*m + 2*y = 5*y + 22. Let s(h) = -7*h**3 - 4*h**2 + 3*h + 5. Let u(q) = 3*q**3 + 2*q**2 - q - 2. What is m*u(b) - 2*s(b)?\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 - 3568347*s = 0 for s.\nAnswer: 0, 3568347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, -21, 4, -4 in ascending order.\nAnswer: -21, -4, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7761 + 7760. Which is the nearest to -1\/9? (a) v (b) 4 (c) -23 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8))\/(2\/(-56)). Let d = z - -34. 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: Solve 4*a + b = -0*b + 12, 0 = -a - 3*b + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -556, -836, -1116?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 106*y + 487*y + 235 - 3347 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1513179l?\nAnswer: 151.3179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.68 - -27.32. Let o = 15 - w. Let j = o - -13.1. What is the second smallest value in j, -1\/2, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 484*c**2\/3 - 29282*c\/3.\nAnswer: -2*c*(c + 121)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**5 - 2*a**2 - 453*a + 2?\nAnswer: -180*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2757*u**3 - 2*u**2 - 54*u - 9565. Let w(d) = 5513*d**3 + 5*d**2 + 135*d + 19130. Let r(n) = -5*t(n) - 2*w(n). Differentiate r(a) wrt a.\nAnswer: 8277*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {p: 2, v: 4, w: 5, d: 2, i: 1, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + 14*c + 7. Let w be p(4). Let x be -1 + 5 - (-1120 + w). Suppose 10*r - x = -5*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/31410249 and 68\/261027.\nAnswer: 94230747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-116)*(-132)\/(-10) + 3\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*q, 6*q = -2*t + 7*q. Factor 2\/9*m**3 + 0 + 4\/9*m**2 + t*m.\nAnswer: 2*m**2*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124090 or -124052?\nAnswer: -124052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7897790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -62 (b) 5 (c) -0.4 (d) -5 (e) -13 (f) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220112200 + 1?\nAnswer: 1220112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*p - 7 = 3*w, -8 = 4*p. Sort 1, 3, w in ascending order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2 = 3*o, 3*o - 6 = 7*k - 10*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/39 (b) 12\/11 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 9 - -1 - (-2 + -22 - -26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1069 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 265, -21 in ascending order.\nAnswer: -21, -4, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -699*c - 2. Let v be p(-2). Let q be (1 + (-51)\/15)\/((-9)\/(-5290)). Let m = v + q. What is the common denominator of m and 13\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 8:10 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/13 greater than or equal to -5206697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(2 + -1 + 1). Suppose 2*u + 2*u - 156 = f. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 288. Let k(m) = 8*m**2 - 106*m + 5. Calculate k(d(n)).\nAnswer: 32*n**2 - 9004*n + 633029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/89, 1, 30, 69\/8 in decreasing order.\nAnswer: 30, 69\/8, 1, -3\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -48632 - 20231\nAnswer: -68863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1854 + 1862 - 7422 - 7*p**3 + 1853 + 1853.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 9*w**2 + w + 10. Let q be s(10). Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134574 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 + 0*g**4 + g**4 + (-2 + 2 + g**2)*(-g**2 - 8*g + 8*g + 2).\nAnswer: -4*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169723 + -21263. Let b be (-2 - 3) + (280000 - -1). Suppose -b = 5*p + 4*y, -t = 4*p - 3*y + 75543. What is p rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1*-2)*(-236)\/(1711\/29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 56*f**2 + 1016*f + 153. Determine c(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, k: 1, p: 4, n: 3}. Give prob of picking 1 p, 1 r, and 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:51 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 + -81 - (43 - (-43 - (-87 - -12))))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*2)\/sqrt(6).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9 + 29*q - 543*q + 4.\nAnswer: -514*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/23, 1\/39, -1\/3 in descending order.\nAnswer: 1\/39, -6\/23, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -31\/8 (c) 56 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2. Let h(b) = -2*b**2 + 3*b. Let y(q) = -9*q**2 + 13*q. Let w(c) = -26*h(c) + 6*y(c). What is w(t(m))?\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*g + 3*u, -4*g - u - 2 = 0. Let c(l) = 7*l**2 + 1. What is the remainder when c(g) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 26)*2\/(-4). What is the units digit of -7*(4\/1 - g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-9)\/3)\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f\/((f*((f*f\/(f\/f**(-13)))\/f)\/f)\/f*f))\/f))**25 assuming f is positive.\nAnswer: f**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -76 - 3*s + 76. Let n(h) = 2*h + 3. Let g(t) = -3*t - 4. Let u(z) = 3*g(z) + 4*n(z). What is k(u(w))?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13)*c*c*c\/c**(-6)*c**(-8)*c*c**(-8))\/((c*c\/c**(2\/9)*c)\/(c**(1\/2)\/c)*(c\/(c\/(c**(-2)\/c)))\/c*c*c*(c**(-2\/17)\/c*c)\/c) assuming c is positive.\nAnswer: c**(-25117\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 17*p**2 + 2 + 7 - 11*p**2. What are the prime factors of l(-3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/(q\/q**(-1\/2)))\/(q**(-1)\/q*((q\/(q*q*(q\/((((q*q\/q**0)\/q)\/q)\/q))\/q))\/q)\/q) assuming q is positive.\nAnswer: q**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*q + 8. Is (56\/12 - -3)*q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -19*l**2 + 23*l - 1339. Give t(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k. Let f(j) = -19853*j**2 - 32*j. Give x(f(h)).\nAnswer: 238236*h**2 + 384*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 21. Suppose -5*x = -2*k, a*x - 5*x = 3*k. Suppose -2*v - 3*v + 49500 = k. Round v to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**6\/120 + r**5\/80 + 5*r**4\/48 + r**3\/8 + 7*r. Suppose f(j) = 0. Calculate j.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 28 = -g. Let k be -10*g\/(35\/2). Suppose 0 = 5*u + n - 115, -k*u + 23 = -3*u + 5*n. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -449.\nAnswer: -8\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -917768*n + 458859*n + 458906*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 582*r + 62. List the prime factors of a(1).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1621, -1622, -1621, -1618, -1613, -1606?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 834 = 5*n, -2*a - a = -3*n + 504. Let p = 430 - n. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 21*y + 0*y**3 - 2*y**4 + 22*y)*((y - 3*y + 4*y)*(-3 + 2 - 1) + 4*y - 2*y - 3*y - 2 + 2*y + 2).\nAnswer: 6*y**5 - 3*y**4 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (-1 - -11 - (-50 - (0 + -61)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, e: 6, f: 2}. Give prob of picking 1 u and 1 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 2 - 2 - 289*q**2 + 282*q**2 + 8*q**3 to w*q**2 + f + s*q + o*q**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2992)\/(-440)*2\/(-12) + 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 15 + 45)*(-3*z + 3*z + 2*z**2) + z - z + 3*z**2 to the form d*z**2 + i + m*z and give d.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 68 = -j + 661, 4*j = s + 2296. What are the prime factors of j?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-8)\/(-2) - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 4:38 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 74513.\nAnswer: -4\/74513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62155170061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1370294 at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 24. Let u = k - 17. Find the second derivative of -4*p**4 - u*p**4 - p**4 + 7*p wrt p.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 - -124.0000235. What is o rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*v + 27*v. Let d = 3027 + -3026. Solve -p - d = -v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x - 208 = 0. Let r = 91 + x. Let b be -1 + r\/12 - 2. Is -0.2 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b - 1. Let l(h) = 2*h**2 + 19*h - 21. Give f(l(s)).\nAnswer: 14*s**2 + 133*s - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 19. Suppose -215 = -v*a + 184. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2257 and 57767.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.1 - -10. Let s be (-2)\/24*(-6 + -3). Let g = -6.4 + 6. Put c, g, s in increasing order.\nAnswer: g, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 6 + 4*y**2 + 7*y**3 - 5*y**3 - 10*y**3. Calculate p(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 55*h**2 + 133*h - 4340. Calculate n(56).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45816 is divided by 45139?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95386 and 3773.\nAnswer: -359891378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/6 + 4)\/(147\/(-98))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.363082l in millilitres?\nAnswer: 1363.082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2949 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 959800 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35\/4 + 17\/2. Let h = 61.454 - 60.454. Let q be (5 - 2)*(-5)\/(-3). What is the second smallest value in h, -3, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 7*p**2 + 9*p - 9. Let b be j(8). Let r(q) = q**3 - 4*q**2 + q - 6. Let s(k) = -k**2 - 1. Suppose -19*y + 11*y = -32. Give b*r(i) + y*s(i).\nAnswer: -i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. What is the third derivative of 4*q**2 - 3*q**t + 2*q**2 + 5*q**5 wrt q?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2926\/9 - -14614\/45. What is the common denominator of -22*(-3 - 66\/(-20)) and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145)\/((-3190)\/198)*-3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 6*z = -z - 15, -3 = 2*p + z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 1558?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 34*l. Let r(n) = -2*n**2 + 4*n + 3. Let y(a) = -4*a**2 + 23*a + 18. Let t(j) = -6*r(j) + y(j). Give i(t(o)).\nAnswer: 272*o**2 - 34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 291*v + 2667. Let p be y(-9). Solve 0 = 27*a + 21*a + p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989 a factor of 321756583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-175*i - 1102 + 1102)*(-i + i - i**2) + 8*i**3 - 3*i**2 + 3*i**2 in the form t*i**2 + l*i + b*i**3 + w and give b.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 1308*d - 47023. Give h(-35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179035\/2653 + 21\/379. Let t = d + 67. Which is the biggest value? (a) t (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -252\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.91843km in millimeters?\nAnswer: 83918430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (((-456)\/3)\/4)\/6. What is the nearest to 8 in -0.2, 1\/5, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*g + 110. Let q be 4\/g - 525\/(-49). Let d(s) = s**2 - 13*s - 8. Calculate d(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + -22. Let k = t + -30. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8942544 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 20 = -6*q + 4*b, q - 2*b = -5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by -2*(50\/(-60))\/5*681?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 13834 - 13832, 0 = 3*p - 5*w + 44 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 91 - 421. Let w = c - 76. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/81)\/(1\/(30\/125))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/6 + 83*b**2\/4 - 455*b - 5623. Suppose z(a) = 0. What is a?\nAnswer: 13, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 2*m**3 + 3*m**3)*(0*m**2 + 2*m**2 + 0*m**2) + 34 - 34 - 27*m**5.\nAnswer: -19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*m - 504, -4*y = -7*y - 3*m - 756. Let t = y + -36. Let g = t - -188. Round g to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 90.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Suppose 3*r - 21 = -4*r. Let q(g) = 7*g + 1. Let w(x) = r*m(x) + q(x). Does 33 divide w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46541 is divided by 7756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-6*7\/14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, 1 w, and 1 k when four letters picked without replacement from {n: 1, w: 1, d: 2, k: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 169, 327, 543, 823, 1173, 1599?\n\"Answer: m**3 + 20*m**2 + 39*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 810*m + 810*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 86 = 3*w, 3*w - 6*w = 5*c - 106. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*l - 10, 0 = -3*l - 3*o + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.87 or 2\/243?\nAnswer: 3.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 3:23 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10944 and 2196?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 10\/23 (c) 2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40582 - 146.\nAnswer: -40728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let n = -1.63 - -62.63. Let k = -87 + n. Is k > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 139, 198, 257, 316, 375?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9296*k - 2*k**2 + 9297*k - 4 - 18606*k. What is w(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17746071*g**2*p*q**3 + 198*g**2 + 748*g*q**3 + 3*q**3 - 3*q wrt p?\nAnswer: -17746071*g**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -4*y, -2*b = -4*y - 0*b + 16. What is the third smallest value in y, 0.4, -0.02?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**6\/1980 - t**5\/220 + t**4\/66 + 3*t**3\/2 + 13*t**2. Let l(b) be the first derivative of f(b). Determine x so that l(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-3 + 11 + 5)*(-2*u + 0*u + 3*u).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2792 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c**3 + 126828*c**2 - 357669*c - 67068 = 0.\nAnswer: -3\/17, 3, 2484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -13*c + 9540. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215174088.\nAnswer: 2, 3, 19, 157291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*z + 647*z - 333*z)*(-11*z**2 + 28*z**2 + 56*z**2 + 7*z**2).\nAnswer: -1520*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4019a2 (base 16) in base 2?\nAnswer: -10000000001100110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 32*k + k**3 - 12*k - 9*k - 11 - 10*k**2. Suppose 2*l = -b + 11, b = -0*b - 4*l + 13. Calculate the smallest common multiple of 7 and o(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/(l**(-2\/7)*l)*l)\/l)\/(l\/l**(1\/2)))**(-7\/5))**(-11))**(7\/5) assuming l is positive.\nAnswer: l**(-231\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*a - 77*a - 14*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -1515*y**8\/56 + 146*y**4 - 1266*y. Find the third derivative of s(g) wrt g.\nAnswer: -181800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4056, 2, 0, 10, 4, -12 in increasing order.\nAnswer: -4056, -12, 0, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y**2 - 102*y - 6. Let o(a) = 21*a**2 - 119*a - 7. Let i(u) = -6*o(u) + 7*z(u). Let x(p) = -p**2 - 47. Calculate i(x(b)).\nAnswer: 14*b**4 + 1316*b**2 + 30926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*d + 11 + 23, -5*i + d = -26. Suppose -4793*c + 4797*c = -84. Let a be i\/c*841 + (-6)\/(-21). Round a to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 932, 2325, 6072, 13361, 25380, 43317?\nAnswer: 68360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*u + 2595 = 57, 0 = -5*j - u - 4246. Round j to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91774012.\nAnswer: 2, 11, 31, 61, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let g(q) = -1. Let a(m) = -3*g(m) - 2*y(m). Let w(s) = 20*s + 10. Let b(k) = 18*a(k) - 2*w(k). What is b(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-9))**(-5\/7))**(-20) assuming w is positive.\nAnswer: w**(-800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*n)*(5*n - 5*n + 5*n)*(3*n - 2*n + n)*(-2 - 2 + 3).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-38)\/8. Suppose r - m*r + 2*o + 458 = 0, -4*r + 470 = 2*o. Suppose -r + 31 = -5*i. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 305*m - 15602. Give h(240).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 5. Let h be m(4). Let d be (0 + -1 + h)\/(-2). Suppose d = 2*y - y - 8. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 2*b - 2. Suppose -r + 180*u - 175*u = 17, 6 = -2*r + 3*u. Give w(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.68608 + 82407162.\nAnswer: 82407166.68608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/1*2\/6. Put g, -3, -2 in decreasing order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311204 + -33?\nAnswer: -311242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 + 5\/(-5)). Put k, 5, -4 in decreasing order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -64, -90, -134, -202, -300, -434, -610?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 10*d**4 + 2165*d**3\/2 + 6480*d**2 + 21465*d\/2 + 2295 = 0?\nAnswer: -102, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 0. Suppose i = -4*o + o - 21000000. What is o rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-738)\/68*4250\/(-1500)*16\/(-6)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17797 or -615?\nAnswer: -615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-2)\/(14\/63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 6*q**2 + 14*q + 8. Let w(t) = 11*t**3 + 12*t**2 + 29*t + 18. Calculate -9*h(c) + 4*w(c).\nAnswer: -c**3 - 6*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -f + 12, -5*s + 29 = f + f. Let x be s\/(-9)*(-195)\/(-11). Let k = -29\/3 - x. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-20))\/1)\/(178\/356).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 36 = 4*a. Suppose -o - 23 + 0 = a. Let j be -26 + 1*(-2 + 4). Is o >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8354.01 - 8028.9. What is t rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1286 (base 10) to base 13.\nAnswer: -77c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -1027338\nAnswer: 95\/1027338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 10. Suppose -7*t - 45 = -2*t. Calculate the remainder when 2 is divided by f(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/21 (b) -1\/5 (c) 4 (d) 0.2 (e) 3.2 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 16. Solve 5*c - 2*c = i, z = 2*i - 2*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + x)*(-2*x**2 - 1 + 1) + (33*x + 3*x - 3*x)*(4*x**2 - 4*x**2 + 2*x**2) + 8*x**3 - 6*x**3 - 10*x**3.\nAnswer: 54*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -18*f + 116. Is 19 a factor of p(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*s + 4*s - 11*s)*(3*s + 0 + 0 + 1) to o + p*s + w*s**2 and give w.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -30551.1.\nAnswer: -30551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**3 - 21*u**2 + 6*u wrt u?\nAnswer: 12*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2. Suppose -4*z - 1 = -3*z. Let q(o) = -8*o**2 + 5*o + 1. Let t(x) = 8*x**2 - 4*x - 1. Let d(a) = -6*q(a) - 7*t(a). What is z*d(y) + 6*u(y)?\nAnswer: 2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 372 + -266. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -21856*b + 2644568. What is w(121)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84)*1 + sqrt(84)))\/sqrt(12) + sqrt(189)\/sqrt(3)*6.\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49732, 49702, 49642, 49540, 49384, 49162, 48862?\n\"Answer: -2*b**3 - 3*b**2 - 7*b + 49744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g + 19. Let w(c) = -18*c - 57. Let z(a) = 8*j(a) + 3*w(a). Let u be z(-12). Let o = u + 52. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 13 - 469*104\/(-3276).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9019 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddsdsssqddsdd. Give prob of sequence dssd.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*x - c + 5, 0 = -4*x - 3*c - 4. Let q be 24\/9*6\/x. Let b(i) = -i**3 - 3*i**2 + 2*i - 1. List the prime factors of b(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-16 - (-8 - 3))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150663?\nAnswer: 3, 50221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 6. Let m(q) = -4*q + 6. Let w(p) = 3*d(p) + 2*m(p). Let j be w(10). Suppose -j*r + 2305 = 309. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 24*j**2 + 24*j + 9. Calculate f(21).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let o = -4 + 4.6. Let b = o + -1. What is the nearest to 0 in 0.3, b, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26866, -26870, -26874, -26878?\n\"Answer: -4*y - 26862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*60\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 87 = -0*g - 53 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192248.\nAnswer: 2, 7, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*q + 8*d - 12, 0 = -2*q + 5*d + 8. Suppose -q*m = 2*c - m - 1413, m = 4*c - 2847. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2258 (base 9) to base 6.\nAnswer: 11425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.7 + 18.4. Let x = -0.2792 - u. What is x rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) -0.14 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21390.\nAnswer: 2, 3, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9836 + 9839. Let q be ((-124)\/(-20) - 2) + -4. Put -1\/2, b, -4\/149, q in descending order.\nAnswer: b, q, -4\/149, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/288 + (-2)\/(-6). What is the third biggest value in -2, k, -25\/6, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2691 and 7664520.\nAnswer: 298916280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49)\/(-42)*108\/(-84) + 9\/2. Let d be (-104)\/(-70)*(-5)\/(-2). Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s**2 + 2 - 2 - 31*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/16 and -65\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42239*b + 62627*b - 26878*b + 8265*b.\nAnswer: 86253*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - g = -14 - 2, -4*q + 5*g + 36 = 0. Suppose -5*j + 4*w = -6 - q, 8 = 4*j - w. Find the first derivative of -12*l**j + 4 + 29 + 4 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 7.4. Let f = -1 - j. Sort 0.5, f, -4 in decreasing order.\nAnswer: 0.5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -3*a, 1020 = 2*b - 3*a. Let y = b - -2356. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 1 + v**2 - 4*v**2 - 5*v + v**3. Let t be x(4). What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 17*c**4 + 5*c**3 + c**2 + 5*c + 5. Let r(s) = s**3 - s**2 + s + 1. Let a(n) = -5*r(n) + z(n). Find the third derivative of a(y) wrt y.\nAnswer: 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4 - 230813*d**3 - 2077232*d**2 + 923252*d + 8308944 = 0.\nAnswer: -230804, -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5471955*f**5 + 354623*f**2 + 3*f wrt f.\nAnswer: 328317300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*h**2 - h**2 + 3*h**2 + (-5*h + 62 - 31 - 33)*(-6*h - 7*h - h) as a + v*h**2 + m*h and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.06 + 0.06. Let d be 1\/(5*(0 - 1)). Sort 0.1, d, m in ascending order.\nAnswer: m, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/(-8)*(-1 - (-1 + 2)) and 9\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 13) to base 4.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -845.34 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h = 20*h + 49*h - 98048. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*r - 1 = -0*s, -46*s + 5*r - 137 = -34 + 55 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*g**4 - 105*g**3 + 7*g**2 - 9*g - 884377.\nAnswer: 52*g**3 - 315*g**2 + 14*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12833449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*k. Suppose -3*a = -1 - 8. Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 158?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 12. Suppose -c = -4*a + 17. Solve 0*v = a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*(-3 + sqrt(75))*-4 + 4) + -3)**2*6 + -1.\nAnswer: -276000*sqrt(3) + 799349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 7:25 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 25*s**2 + 2*s + 59. Determine w(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4071235.7 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = 2*k, -2*k = -l - 0 - 5. Is k*-1*2*2910\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*p + 15, 0 = -2*p + 5*s + 2 + 4. Suppose 20 = -4*m, -3*k + 4*m - p*m = 44699995. What is k rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 7*b**2 - 4*b + 13. Let g be k(6). Let p = 306 + g. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Suppose 3*u + u + 12 = i. Let g = -2 - u. Is 3 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l, m + l - 1 = -m. Solve -p + m = -0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415643 (base 7) to base 6\nAnswer: 1311445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u**2 - 4*u**3 - 9*u + 21 - 14*u + 5*u**3 + 21*u. What is the tens digit of p(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16687 or -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*3*2\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 - 34.7. Let u = k - -33.1. Put u, 2\/11, 2\/9 in decreasing order.\nAnswer: 2\/9, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 51.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + p**2 + 17 + 72*p**3 + p**2.\nAnswer: 72*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 829021289 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10684 - -10483.44. Let o = m + 201. Is -2\/5 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k + 2*n = -10, -k + 5*n = -12. Let y(z) = 145*z - 8. What are the prime factors of y(k)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6845 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 12:28 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 414657 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(((-15)\/(-1200)*8)\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19324.\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:24 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b**(-3\/8)*(b\/(b*b**(-4)))\/b**(-2\/17))**42 assuming b is positive.\nAnswer: b**(-6447\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 8. Let z be k(-5). Sort z, -1, -4, 4 in descending order.\nAnswer: 4, -1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(1053))**2*4.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6911.61 + -6942. What is z rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002 divided by 62\nAnswer: 501\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 121. Find the common denominator of 519\/c + 4 - 9\/15 and -33\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 42. Let w be (-826006)\/c - (-3)\/7. Round w to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojjj when four letters picked without replacement from oooooooooooooooooj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 12. Let w = o - -69. Suppose -5*h + 52 = 2*c, -c + 2*h = c - 38. What is the remainder when c is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfkkrfkk. What is prob of picking 2 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by ((33\/4)\/3)\/((-14)\/(-280)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = 4*x, 0 = 3*o + 4*x + 6. Let m(s) = 10*s - o - 7*s - s. What are the prime factors of m(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1834146 rounded to 3 dps?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzdddzdzzd. What is prob of sequence zzzz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340*x = -1350*x + 110 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1986 - -4519. List the prime factors of y.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3287688*f**4*i - 2*f**4 + 6*f**2*i - f**2 + 4*f*i - f - 46714*i wrt f.\nAnswer: -78904512*f*i - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.3. Let l = z + 0.7. Is l bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 + 10. Is z(5) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.1 - -17.1000004. What is p rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122 (base 4) to base 10\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -86. Suppose w + 3*n + n = 15, 0 = -2*n + 8. Put 4, y, w in descending order.\nAnswer: 4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 38. Let m be a(7). Let k(z) = 37*z - 19. Let j be k(m). Let p = -92 + j. Solve 0*v - 4*v - 4 = p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1126, 10, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -14. Let u = 11 - q. What is the lowest common multiple of 6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, g: 2, r: 1, i: 2}. What is prob of picking 2 y?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + -4 + ((1 + sqrt(720) + -4)**2 - (-2 + sqrt(720) + -2)) + -3)*-3.\nAnswer: -2193 + 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-6)))\/y)**10)**34 assuming y is positive.\nAnswer: y**1700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19830 divided by 5?\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (97\/35890)\/((-5)\/(-50))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106957057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -199, -260, -397, -640, -1019, -1564, -2305?\n\"Answer: -5*l**3 - 8*l**2 - 2*l - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73 + 22953?\nAnswer: 22880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/8)*(w**(2\/13)*w*w)\/w)\/(w**(2\/7)\/w**(-3\/8)))\/(((w**(1\/13)*w)\/w)\/w**(-6\/7))**(-8\/11) assuming w is positive.\nAnswer: w**(3193\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, j: 2, a: 1, u: 2, i: 1}. What is prob of picking 1 i and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3440 and 74820.\nAnswer: 299280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -60. Let h be g\/(-4) - 46\/8. Let p(u) = 13*u**2 + 3*u + 9. Is p(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(105)*-2)\/sqrt(5))\/(sqrt(147) + 2*1*sqrt(147)).\nAnswer: 10*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4) - (18\/(-8))\/3. Let w = 265 - 265.2. Let b be 1*-1 - 2\/2. What is the second biggest value in b, 4\/7, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54933649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (1270\/3)\/(54\/81) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3) + 1 + sqrt(3) + sqrt(3) + 1) - sqrt(6)\/(sqrt(18)*5) - ((sqrt(231) - (sqrt(231) - sqrt(231)*1))\/sqrt(11))\/(sqrt(7)*-2*-2)*4)**2.\nAnswer: 836*sqrt(3)\/3 + 51181\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*i + 24. Suppose 4*q - 32 = z + 4*z, -i*z + 16 = 2*q. Calculate the lowest common multiple of 12 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59280 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 1\/736, 2402, 3, -1, 5, -3?\nAnswer: 2402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5920 and 857220?\nAnswer: 253737120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + 9\/(-12). Suppose 50 = 2*u - q*u. Suppose -z + 2*n = 3 + 5, -3*n = 5*z - u. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 98\/(-21) + 4 + (40\/(-12) - -6). Solve -5*b - o*v + 7*v = -10, -2*b + 4 = v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9205 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 10212?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.09298 centuries in months?\nAnswer: 8511.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 4047758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -142655, -142896, -143137?\n\"Answer: -241*p - 142414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxllxlxlltlltxtxxl. Give prob of sequence xxx.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.237219 rounded to one decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r - 5*u - 41, 0 = r - 3*u + 4. List the prime factors of (-1)\/((-3)\/9) - r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.287, -0.01, 2\/13, 1, -0.1 in descending order.\nAnswer: 1.287, 1, 2\/13, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 827*y - 983*y + 3269*y - 813*y - 876*y to the form w + u*y and give u.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y + 2. Suppose -3 = -u + 3*s + 2*s, 0 = s. Suppose -10 = -u*i - 16. Let r be d(i). Solve 10 = -2*j + r*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2503740570 + 3?\nAnswer: 2503740573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -186 - 27870?\nAnswer: -27a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 + 23. Let d be g(0). Find the third derivative of -d*h**2 + 4*h**3 - h**5 + 26*h**2 + 5*h**5 wrt h.\nAnswer: 240*h**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/(-120)*-4*17 and -73\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**3 + 271*r**3 - 247*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - -5 - 55\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-170)*36 + (-18)\/(-153).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 9 - o**2 + 0*o**3 - 8. Let p be w(-1). Solve -t - c - 2*c + p = 0, 4*t + 5*c + 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10)**(-38)*(i**(-6))**(-1\/40) assuming i is positive.\nAnswer: i**(-7597\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008054005 rounded to five dps?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 90 = -8*k. What is the smallest common multiple of 18 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Solve -r*z = z - 4*l - 8, -6 = 3*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21687*k**3 + 10756*k**3 + 10937*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 24 = -4*s, -3*s - 39 + 17 = -5*m. Suppose -4*w = m*u - 15, 13 = 2*w - 0*w - 3*u. What is the remainder when 59 is divided by w\/(-3)*(-5 - 7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 488 + 295. Calculate the greatest common factor of 27 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -m - 354, -5*n + 282 = -m - 160. Solve 10 = n*r - 86*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxkkuukjukxujjk. Give prob of picking 1 u and 3 j.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176224873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23705, 23101, 22095, 20687, 18877, 16665, 14051?\nAnswer: 11035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v - 3. Let s(u) = 16*u - 10. Let b = 1 - 4. Let d(j) = b*s(j) + 10*y(j). Let a(p) be the third derivative of p**5\/30 - p**2. Determine a(d(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3495037338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 8*h**2 + 10*h + 90. What is v(9)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*d - 19 = 0, -5*b + 2*b = -5*d - 36. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 29*z - 4*z)*((-z - z + 3*z)*(3 + 1 - 2) - 276 + 30*z + 278 + 6*z).\nAnswer: -1178*z**2 - 62*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2 - 2)*(1 + 2 - 4) + (4 + 2 - 7)*(-56*g + 33*g + 36*g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 1, o: 3, d: 1, w: 1}. Give prob of picking 2 o and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 39*l - 5. Calculate n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4)\/(1\/(-2)). Let z = 1 - k. Suppose -2*q + 136 = z*r, 3*q = 2*r + 3*r - 170. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 + 9*v + 6. Let b(s) be the second derivative of -s**3\/6 - 15*s. Let u(a) = -4*b(a) - 2*r(a). Factor u(i).\nAnswer: 2*(i - 2)*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 8. Let a be l(-12). Let x = -1680864 - -6560884. Suppose a*b = b + 15, 4*b = -4*q + x. Round q to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9880 + 164. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3 - 24*o**2 - 10*o + 132 = 0.\nAnswer: -11, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**2 - 12*j + 12. Let i(s) = -s**2 + s - 1. Let q = 1167 - 1166. What is q*v(h) + 12*i(h)?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, -0.3, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03824679 from 8059265.\nAnswer: 8059264.96175321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a798 - 108?\nAnswer: -8a8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 2:53 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/105 and (-73458)\/460404 - 3\/(-27).\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 20 (c) -5 (d) 12 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 2*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -363.4547425 to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1315062 divided by -219177.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 56. Suppose 0 = 10*o - 14*o + m. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/3)*u*u))\/u*u)**(-47)\/((u**(-1)*u*u)\/u*u*u\/(u*u\/u**(1\/4))) assuming u is positive.\nAnswer: u**(749\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9428.313l to millilitres.\nAnswer: 9428313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -122 + 122 - (1 + -1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.66933ml to litres.\nAnswer: 0.07066933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/5)*y**(-2\/7))\/(y*y**2)**(-13\/6))\/((y**(-1\/2))**(-3\/22)\/(y**(1\/11)\/y*y**1)) assuming y is positive.\nAnswer: y**(8373\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.05, 0.6, -15\/47, 2\/61?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/180225 and -53\/1050.\nAnswer: 2523150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 + 35*s**2 - 7*s + 18. Let b be n(-9). Solve b = -27*r - 27*r + 16*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106437 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1883471615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141*-3848.\nAnswer: -542568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 13998 + 17610 = 0. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8444, 8424, 8388, 8330, 8244, 8124, 7964?\nAnswer: 7758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245534593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72098 and 19552?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*r + 33 = 0, -5*r = -3*r - 18. Solve -5 = f*d - t - 14, -t + 5 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 + -2171525?\nAnswer: -2171571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 2*w**3 + 0*w**3)*(-1 + 1 + w - w + 4*w - w + (1 + 1 - 1)*(w - w + w) + 2*w + 0*w - 4*w + 8 + 6 - 22*w + 21*w).\nAnswer: -2*w**4 - 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 11*y**2 - 35*y - 31. What is h(-8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207895 is divided by 3057.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i - 45. Let q be 4\/(-6)*i\/(-10). Suppose 2*n - 3 = q*n, -5*k - 3*n + 46 = 0. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -205798272 less than -205798269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/1300*-225*(16\/18)\/(-4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2, 152, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from {g: 2, j: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 6. Let s be ((-6)\/15)\/(3\/(-45)). Let v(x) = -4*x - 7. What is s*v(g) - 7*j(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2882 is divided by 50?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-303)\/(-2) - 7\/(-14). Suppose o*p + 1260 = 158*p. What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 6*s - 7. Let x be 5*((-16)\/10 + 2). Let y(c) = c + 3 + x - 4. Let w(d) = -40*d - 2802. Let b be w(-70). What is b*u(j) - 14*y(j)?\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 15*p + 39. Let r be x(-12). Let f be (18\/54)\/((-1)\/(-6)). Factor -f*v**2 - 5\/2*v + 3\/2*v**r + 1.\nAnswer: (v - 2)*(v + 1)*(3*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3138*c**2 + 2*c**3 - 3138*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695)*-4 - sqrt(55))\/(sqrt(5) - -4*sqrt(5)*-2).\nAnswer: 29*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -0.5 (c) 0.1 (d) 0.029 (e) -5\/4 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 103 = -4*c - 2*o, 2*c - 3*o - 79 = 0. Suppose 2*p + 10 = -0*p, -4*p - c = 4*n. Let j be (-1)\/n - (-10)\/(-18). Sort 0.5, j, -4.\nAnswer: -4, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 6 - x**3 + 10*x + 0*x**3 + 2*x - 5*x. Let p be c(-4). Suppose -5*m - 13 + 28 = 0. Solve -q - p = -m*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4 + -2)\/((-2)\/8). Suppose -m*a + 4*k + 68 = a, -2*a + 17 = 3*k. What is the lowest common multiple of 20 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (156\/76 + -2)*36 + -2. Which is the closest to 0? (a) t (b) 2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132894982*b**4 - 72968738 wrt b.\nAnswer: -531579928*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*y - 10, -52 + 32 = -2*y - 4*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -33*q**2. Let z(m) = -848*m**2. Give z(b(d)).\nAnswer: -923472*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 468 + -465. Sort i, -2, -9 in decreasing order.\nAnswer: i, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 6*o - 12. Let t be k(-7). Let q be ((-4)\/(-12))\/(2\/(-30)) + -4. Sort t, q, -4 in descending order.\nAnswer: -4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(1100) - (1 + sqrt(1100))) + -4 - sqrt(1100)) + -1*sqrt(1100)*-1)*-5 + 2 + -2*2*(sqrt(1100) + -1))**2.\nAnswer: -2240*sqrt(11) + 18384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 149*t + 145. Give v(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 5:26 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287779 divided by -3.\nAnswer: -287779\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.00168 times -40481\nAnswer: 68.00808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.011 + -0.0110029. Round x to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o + 7*o + 343*o.\nAnswer: 370*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 972 - 767 = 6*j, 0 = -5*n - 4*j + 141 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -c16 (base 16) to base 5\nAnswer: -44334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + 2 - (sqrt(11) + 2 + sqrt(11) + 2))**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -18 + (53 - 58))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2271510.000176 + -2271546. Let l = 36 + o. Round l to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 50\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 78*s - 1169. Let h be g(15). Put 1\/8, -3, -13, h, -1 in ascending order.\nAnswer: -13, -3, -1, 1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20696 and 520?\nAnswer: 103480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55396\/198 - (-1)\/((-9)\/(-2)). What is the highest common factor of 60 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*f - 13898*f - 206*f to g*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -1, 2\/21, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 5*j + j + (-1 - 1 + 3)*(-j - 3*j + 0*j) to s*j + d and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 2. Let l(q) = 2*q + 1. Let f be l(1). Let v be k(f). Suppose 0 = -v*h - 4*t + 30, 2*h + 0*t = 4*t - 16. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4864495*t**4 - 10*t - t**3 - 4864288*t**4 - t**2 + 2*t**3 to the form q*t**3 + c*t**4 + b + p*t**2 + w*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1395913278 divided by 6\nAnswer: -232652213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/51)\/((-45)\/((-18360)\/(-16))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8122542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -117. Suppose -n + o = 3*n. Find the second derivative of -20*r**3 - 32*r - 25*r**3 - 27*r + n*r wrt r.\nAnswer: -270*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -5*s**8\/336 + 23*s**6\/60 + s**4\/12 + 199*s**3\/6 - 12*s**2 - 5. What is the second derivative of r(x) wrt x?\nAnswer: -100*x**3 + 276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 953397?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 37*h**2. Let v(m) = -90769*m**2. What is c(v(d))?\nAnswer: 304843420357*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) -1 (b) -1\/6 (c) 2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 = 6*c. Suppose -2*k = k - 15, -3*z = c*k - 20. Which is greater: z or 3\/38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 259, 1090, 2481, 4438, 6967?\n\"Answer: q**3 + 274*q**2 + 2*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 2:09 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1105*q**2 - 104. Let c(k) = -65*k**2 - 6. Calculate 3*b(v) - 52*c(v).\nAnswer: 65*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 = -7. Suppose -60 = -2*b - 5*h, -28 = -b - 0*b - j*h. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 10\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 5*x)*(1 - 2*x - 7 + 4).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 + k - 1. Let a = 18 + -16. Suppose z - a*l - 10 = 0, z + 3*l = -0*l. Is y(z) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g + 140. Let n = 24 + g. Let v(k) = -k - 7. Let u be v(n). Solve 2 = -u*f + 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 6)*(-284*s - 54*s**4 + 284*s) in the form t*s**3 + b*s**2 + a*s**4 + o*s + w and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xikiikik. What is prob of picking 4 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-90)\/(-50))\/((-3)\/(-10)). Put -2, -3, j in descending order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*z**5 + 19705*z**4 - 1177119*z**3 - 994617*z**2 + 2447820*z - 858924 = 0. Calculate z.\nAnswer: -2, 3\/5, 66, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 2*j**4 - 224 - 2*j**2 - 5*j + 18 to the form p*j**3 + w + m*j + d*j**2 + v*j**4 and give w.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 643662, 2574632, 5792912, 10298502, 16091402, 23171612, 31539132?\n\"Answer: 643655*t**2 + 5*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/26*(-12 - (-1 - 0)). Find the first derivative of q + 12 + 199*z - 194*z wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19259 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 264*y**2 + 136*y**2 + 134*y**2.\nAnswer: 6*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404968 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*y + 1732 = -784. Calculate the remainder when (-4)\/6 + 404\/3 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 999 = 2*v, 0 = v + 3*k - 492. Suppose -v - 147 = 6*j. Let t = j + 117. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from lkkkkklkk?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = 0, -4*x = -3*j + 26543 - 3170. What are the prime factors of j?\nAnswer: 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/21, -115, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/22 and 51\/1114.\nAnswer: 12254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 4)\/(1\/(-7)). Suppose 0 = -s*g + 5*g + 18. Calculate the lowest common multiple of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 1.506. Let m = 32.8 - 29.4. Let p = m - 3.2. Is p < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1653 + -1650. Solve 0 = c*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 246284*b - 492551. Calculate a(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4*r - 583 - 9, 0 = -d - 2*r + 112. What is the highest common divisor of 2499 and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/80*2)\/(18\/45)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b9 (base 16) in base 7?\nAnswer: -10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2083866929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45233 is divided by 4978?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 + 13*x. Let r(n) = n**2 + n - 16. Let t be r(-7). Let p(g) = g**2 - 3*g. Let v(j) = t*p(j) + 6*q(j). Let u(k) = k**2. Give v(u(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - (-146)\/6. Suppose -f = -y + 6. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -580\/9 (b) -19930 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -0.063, 2?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -1\/2, -0.34?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 - 2*q + 2*q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3420 and 81015240?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9*q = 2224. Let g = 165 + q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*o - 12 = 0, 0*x + o - 4 = -x. Let c = 6 - 5.9. Let y = -432\/65 - -34\/5. Sort y, x, c in decreasing order.\nAnswer: x, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19c + 4?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21643.7 and -0.8?\nAnswer: 17314.96","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d + 1. Let l(z) = -5*z - 1. Suppose -9*f - 34 = -11*f. Let v be f\/3 - (4\/6)\/1. What is v*l(n) + 3*o(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -2\/149 (c) 3\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44.0633 in 5, 0, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*y + 5452 = 5215. Let x(t) = 2*t**3 + t**2 - 5*t - 5. Determine x(y).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963728853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000241311 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 511 in 6, 1\/2, 3, 10, 4\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**2 + 5. Let i be n(2). Suppose u + 5*s - 113 = -0*u, -u = -3*s - i. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139399562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 429\/(-1287)*(-300)\/4\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38102 < 1\/363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (363\/((-8712)\/(-208)))\/((-19)\/(-21) - (3 - 2)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25658, -102658, -230996, -410672, -641686?\n\"Answer: -25669*s**2 + 7*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -10 - 5 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b + 5*z = 18, 17 = 3*b + 5*z. Let l = 1 + b. Solve -4*u + 4 = -l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.02, -2, 4, -53, -0.344?\nAnswer: -0.344","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = 5*o + 25, 0 = 5*m + 4*o - 6. Suppose -7*a + m*a = 0. Suppose 2*j = -a*j + 8. Solve 0 = 5*b - j*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5256 divided by -73?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 330.2 - 330. What is the closest to 1\/13 in -4, n, 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66*19\/(-342))\/((-2)\/(-6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a tonne in kilograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43911.38 centimeters to micrometers.\nAnswer: 439113800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10779*l - 97011. Determine b(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-34) - ((-17)\/51 - (-130)\/(-195)).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.401556447 and -609?\nAnswer: 618.401556447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-28)*7 - (-1)\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.1301 litres to millilitres.\nAnswer: 14130.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 681 + 285. What is the remainder when 80 is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 12*t**2 + 127*t - 1510. Calculate p(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8357 smaller than -8358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:36 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -28. Let a be (78\/18 - 5) + (-261002)\/b. Round a to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 times -0.8\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 51*u - u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 2:43 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*o**3 + 3*o**2 - o - 44?\nAnswer: -900*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-343 - -336) + (15 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 35*a**2 + 97*a + 34. Determine d(-33).\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-3*y - 4*y + 4*y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 10*a + 1. What is g(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3225)\/1809 - 4\/(-2). Let u = f - -1\/201. Factor -2\/9*q**5 + u*q**3 + 0*q + 2\/9*q**4 - 2\/9*q**2 + 0.\nAnswer: -2*q**2*(q - 1)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*x**2 - 8*x**2 - 3*x**4 + 21*x**2 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14491448497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 227549*z - 21617147. Calculate q(95).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:11 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 12*h - 9. Let s = 20 - 9. Let i be c(s). Solve 4*g = i*w, 0*g + 18 = -2*w - 5*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 7*h + 35. Suppose h*t = -4*k + 33, -4*k + 6 = -5*t + 23. Solve -3*m = k*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 30030.95 kilometers?\nAnswer: 30030950000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 4*y + 4. Let v(n) be the third derivative of n**4\/24 + n**3\/6 - n**2. Suppose 4*i + 13 = -l + i, -3*l - 15 = 3*i. What is l*p(m) + 4*v(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 - (-137500130)\/(20\/2). What is z rounded to the nearest one hundred thousand?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28798 + 13241 = -9016*m + 29523 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/4)\/((-3)\/(-18)). Suppose 4*a - 3 - 5 = 0. Is ((-148)\/(-6))\/(a\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*4*-3 + 2 + sqrt(18)\/sqrt(9).\nAnswer: -11*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2114 from -14220.\nAnswer: -16334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 1103\nAnswer: -12\/1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftvtttfttytzofyytt. What is prob of sequence ft?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 h when four letters picked without replacement from wzwwwwfwwhhwhhwhzwzz.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.963 + -30723.037. Let b = -30752.930845 - r. Let c = b + -0.069. Round c to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/(-2400)*(-8)\/14.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562715 is divided by 562700?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -441*b - 3091. Determine w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10747271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19700*y**2 - 9846*y**2 - 10181*y**2.\nAnswer: -327*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.9 + 39.82. Let q = -21 + l. Let r = q - 0.52. What is r rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21441, -21412, -21383, -21354, -21325?\nAnswer: -21296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2302*f + 200.\nAnswer: 2302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 times -716.3?\nAnswer: 53006.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 23. Let d(h) = -3 + 4*h - 3 + c*h**3 + 0*h**3. Let p(j) = 2*j**3 + 3*j - 5. Let u = -8 - -12. Calculate u*p(v) - 3*d(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200.84 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/5004560 and -37\/126900.\nAnswer: 675615600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*5\/(-5) - -7. Suppose 167*y = 169*y - o. Solve 4*n = 4*r - 8, 5*n + y*r + 27 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u*v**5 + 27*u*v**2 + 2*u*v - 2*u + 7 wrt v?\nAnswer: -20*u*v**3 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 385349708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -65, 1, -1, 4.\nAnswer: -65, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m**2 + 31*m**2 - 65*m**2)*(-1 - m + 1).\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = 125. Let y be (-16 - -65) + -5 + 14. Suppose -y*u = -3663 + 763. Calculate the highest common divisor of u and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 + -0.04.\nAnswer: 64.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/((-8208)\/(-32)))\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -0.2, 0.5, 5, -3 in increasing order.\nAnswer: -3, -5\/4, -0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 583819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23605438781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-4))\/(2430\/(-3240))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 19 = 5*m, 5*m - 7 = -4*v - 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 73 + 1 = 0. Solve 3*c + 15 = 3*g, h*g + 3*c - 8 - 7 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3409, 13445, 30087, 53335, 83189, 119649, 162715?\n\"Answer: 3303*d**2 + 127*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d**3 + 0*d + 17\/5*d**5 - 1\/4*d**4 - 74 - 89\/2*d**2. What is the second derivative of k(p) wrt p?\nAnswer: 204*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5481*f**2*l**2 - 3*f**2*l - 67*f**2 + 13*f*l + 2*l wrt l.\nAnswer: -10962*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivyjyvvjyddjdjdjyjvi. What is prob of picking 3 v and 1 y?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/41 (b) -3\/7 (c) 25700\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -143 (b) 3 (c) -0.83 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 140. Give k(0).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -85*h + 226. Let f(q) = -22*q + 60. Let g(z) = 4*d(z) - 15*f(z). Let t(c) = -2*c**2 + 3*c - 3*c. Calculate t(g(p)).\nAnswer: -200*p**2 + 160*p - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (7 - 5) + -6 - 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 25 = -5*v - 0*r, 0 = -5*v + 4*r - 40. Let o = -77 + 229\/3. Which is the nearest to 0? (a) v (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 4*m + 4. Let c be n(-4). Suppose 4*k - 3 - 1 = c*r, 0 = 4*k - 20. Put r, 6, -1 in decreasing order.\nAnswer: 6, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3017*w - 9073. Give d(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqccvkqlckqqlc. What is prob of picking 2 q and 2 l?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -4.49, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 3*p**5\/20 + 139*p**4\/2 + 277*p**3\/2 + 156*p + 2. Let k(t) = 0. Calculate t.\nAnswer: -277, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -21. Let m = 10 - t. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 1774 + 466. Let x = 2284\/7 - k. Which is the third smallest value? (a) 0.4 (b) -13 (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 34*x**2 + 29*x**2 + 9 - 54*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3122 - 3122 + 3*k)*(-k + 4*k - 2*k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {y: 4, x: 2, u: 2, n: 2, d: 9, h: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -4979?\nAnswer: -4979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 87. Let z = -54.000017 + l. What is z rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-1 - 3\/(-1)). Let t = 10 + k. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/88)\/((-46)\/(-253))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 511 + 3371*i**2 - 3373*i**2 + 558 to h*i**2 + p + x*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 529941.2us in seconds?\nAnswer: 0.5299412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c4576b (base 13) to base 14.\nAnswer: -873b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 18. Suppose -10*p + 403 = 3*p. Let z = p + -29. Let m(n) = -1. What is z*c(k) + 36*m(k)?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.9. Let l(q) = -q + 29. Let o be -4 + 18\/6 - -33. Let w be l(o). What is the closest to w in 3, m, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let w(y) = -42*y**2 + 494*y. Determine w(k(c)).\nAnswer: -42*c**4 - 494*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (20 + -20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11440311 - 204?\nAnswer: -11441020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1023317*l**3*s + 20*l**3 - 5*l**2*s - l**2 - 2*l*s + 3612*l + 4*s + 2 wrt l?\nAnswer: 6139902*s + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72820454, 72820456, 72820458?\n\"Answer: 2*o + 72820452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29240*i*l**2*y**3 - 4*i*l*y**2 + 3879*i*l*y + 13*l**2*y**3 - 2*l*y**3 + 2*y**3 wrt l?\nAnswer: 58480*i*y**3 + 26*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 7. Let b be f(0). Let q = b - 9. Is (-10017)\/(-12) - 4\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*o = -2, -2*o + 5*o + 3 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(2*n - 3 + 3)*((0*n - 2*n + 3*n)*(2 + 2 - 2) + 11*n - 891 + 891).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsssssrrrssrr. What is prob of picking 3 s and 1 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b + 1. What is f(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148940 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 3 + z**2 - 2*z**3 - 4*z - 3*z**2 to p + l*z**3 + c*z + q*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**6 - 370*m**3*p**3 - 34*m**3 + 24*m**2*p**2 - 252*m**2 - 2*m - 4*p**3 - 3*p**2 wrt m.\nAnswer: -120*m**3 - 2220*p**3 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -8. Let u(z) = -5*z + 7. Let d be u(x). Let a(w) = -6*w + 16. Let n(v) be the third derivative of v**4\/24 - v**3\/2 - 2*v**2. Give d*n(l) + 4*a(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o - 3. Let p(s) = -s - 1. Let t be p(-3). Calculate i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 9. Let t be l(8). Let a = t + -7. Solve 3*u = -9, 5*s - 2*u + a*u = 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140324.\nAnswer: 2, 35081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3520\/133 - 397\/19. Factor 66\/7 + 3\/7*m**2 + a*m.\nAnswer: 3*(m + 2)*(m + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-15))\/((-1)\/5))\/((-2130)\/(-1065))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - d**2 + d. Let b(q) = -100 - 10*q**3 - 7*q**2 + 291 + 6*q - 96 - 95. Calculate b(j) - 6*n(j).\nAnswer: -4*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(1\/(-8))\/((-2)\/40)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 55.00000033. What is l rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/84 + 5*b**3\/7 + 29*b**2\/14 + 54*b. Factor l(d).\nAnswer: (d + 1)*(d + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/3 + 7*u**2 - 1175*u. Give g(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 11*x**2 + 11*x + 14. Let z be t(-10). What is the highest common divisor of 32 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 522571*h*k**3*v**2 + h*k**3*v - 2*h*k**2*v + 4950*h*k**2 - 2*k*v**2 - v**2 wrt k?\nAnswer: 3135426*h*v**2 + 6*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.176 + -0.179038. Round m to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -4*l + 2*s + 59, 2*s + 8 = 0. Let d(r) = 39*r**2 + 1. Determine d(l).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57565, 115565, 173565, 231565?\nAnswer: 289565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b = 33*b + 2055. Let p = b + -255. Does 30 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63543835 a multiple of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19962479 and 1?\nAnswer: 19962479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 5\/2, -1, 31?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29702 - 157608 = -2063*r for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, -4, 1\/4, -2, -1\/26?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3327\/153769 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*u - 6*u - 18*u - 4)*(-u + 3*u - 3*u).\nAnswer: 146*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(112\/335) + -3. Let m = v - 41\/112. Which is the nearest to 1? (a) -0.5 (b) -1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3661.37 (b) -144 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvvhvvvvvhbhvhvhv. What is prob of picking 3 h?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*r + 220*r + 215*r - 877*r + 222*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = -18. Suppose 6 - 2 = -4*k. Let i(g) = 4*g**2 + 6*g. Let d(j) = -j**2 - j. Let y(a) = c*d(a) + k*i(a). Let b(t) = -7*t. Give b(y(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k - 1251*k = 2646*k - 237*k - 274360 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 243 - (54 + 10)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 8)*(39\/36 + -1). Which is the third smallest value? (a) -0.3 (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 117 = -15. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329125.3746 rounded to the nearest 10?\nAnswer: -329130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:41 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 81*r + 140. Give h(-41).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 - 136. Let k(u) = -u + 2. Let g be k(-2). What is the third derivative of c - 11 - 4*y**2 + 3*y**g wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -16*a - 21. Let m = 86 - 171\/2. Let f(t) be the second derivative of -14*t + 2*t**2 + m*t**3 + 0. Determine -11*f(v) - 2*g(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2266 and -31\/242.\nAnswer: 24926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u - 9*u - 4*u. Let t be k(-1). Suppose t = s + 2. What is the remainder when 18 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.02 + 0.02. Let x = 10.2 + r. Let d = -1255 + 1250. Which is the second biggest value? (a) x (b) 1\/10 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.55 - 13.55. Sort h, -94, -0.3.\nAnswer: -94, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from fuffhfffffffff.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**3\/3 + r**2 + 12*r + 32. Let l be w(0). Let m be 1 - l\/6 - (-1 - 20). Solve -6*i + i = m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569425 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2734212)\/(-153) - 5\/15*-1 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 59*f**2 + 1093*f**3 - 59*f**2 - 35.\nAnswer: 1093*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181967 is divided by 643?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 1891, 2835, 3767, 4681, 5571?\nAnswer: 6431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**5 - 5*t**4\/4 + 25*t**3\/3 - 15*t**2\/2 - 19. Let u(f) = 0. What is f?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/6 + 107175338*f - 17229829613121366 = 0. What is f?\nAnswer: 321526014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -2031519 and -2031519 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (-100)\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/11250)\/((-86)\/129)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -293 - -287.54. What is q rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.09 (b) -16 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 4*z - 339. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in -1, -0.4, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 6*r + 7. Let p be j(-5). Let i(l) = 455*l - 3. Is i(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1003)\/34 + (68 - 53)\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 70*y - 1085. Determine v(-47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 36*r. Suppose -5*i - 21 + 17 = -m, r = 4*i. Put -5, -77, m in increasing order.\nAnswer: -77, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-34890)\/8 + -2. Let v = -4342 - b. Let n = 9337\/8 - 1162. Find the common denominator of n and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -32, -104, -248, -488, -848, -1352?\n\"Answer: -4*x**3 + 4*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.479 * 4637.5.\nAnswer: 16133.8625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 5) + (3 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 38, 97, 190, 323, 502?\n\"Answer: b**3 + 8*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 z when three letters picked without replacement from caacaeezeaceece?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**2 - 4*q**2 - 8*q**4 - 4*q**2 + 12*q**4 wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 103?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - j = -638, -3*z - j - 526 - 102 = 0. Let m = 108 - z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*u - 55291 + 57531 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k - 5*h + 14, -3*h - 5 = -4*k. Let m be (-3)\/(3\/(-8)*k). Suppose 0 = o - m*g - 15, -5*o + 4*g + 160 = g. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 569901, -5, 50 in decreasing order.\nAnswer: 569901, 50, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -16. Suppose 3*a = -m + 22. What is the least common multiple of 13 and a?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1 + h + 5*h**3 + h**2 - 4*h**3 - 2*h**3. Suppose 0 = w - 5*w. Let k be n(w). Sort k, -2, 0 in descending order.\nAnswer: 0, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -4 + -2 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -7. Let p(v) = 4*v - 1. Let g(q) = 9*q - 2. Let z = 17 - 4. Give y*g(x) + z*p(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187*t**5 - 270*t**3*y - t**2*y - 65*t**2 - 3*y - 8 wrt t.\nAnswer: 11220*t**2 - 1620*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b - 6*b + 2*b + (-1 + 1 - 1)*(2 + b - 2) - 8*b + 8*b - b + 2 + b - 2 + 0*b - 4*b + 2*b + (-2*b + b + 3*b)*(-4 + 4 + 2) + b + 3*b - 2*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23618 is divided by 209.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 16*y**2 - 43*y + 16. Let c be q(-12). Let m be (-11)\/c + 1*1\/(-4). Let r be ((-10)\/4)\/(4\/(-8)). Solve r*x = -m*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1142232 and 5642.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*n**2 - 24277446*n + 84005 = 0. What is n?\nAnswer: 1\/289, 84005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 11*l**3 - 386*l - 1 + 387*l + 7 + 0*l**2. Is 4 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22764 + 359?\nAnswer: 23012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 1. Let y be z(-1). Suppose g - 240 = -y*g. What is the highest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*m + m + 90 = 0, -16 = -4*m. Suppose q = -0*q + 14. What is the remainder when n is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-8)\/10 + (-629)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 76 = m. Let g be 6\/2*(-418)\/(-33). What is the greatest common divisor of m and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56010759659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -23 (b) 0.15 (c) -2 (d) 2 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 + 5*c + 4. Let x be n(4). Let r(f) = -f**3 + 9*f**2 - 7*f - 11. Let a be r(x). Let u(i) = 2*i - 1. Give u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/6 + 16*s**2 - s. Suppose 4*c - 5 = -v, -v + 4 = 5*c - 1. Is r(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*j - 7 = 15, 0 = -4*b - 4*j - 104. Calculate the common denominator of ((-1)\/(-18))\/((-1)\/44) and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 0*t**2 - 10*t**3 - 86*t**3 in the form f*t**3 + a*t + v + d*t**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 33600001 = -4*t, 5*t - 5*r - 25199995 = 2*t. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/2288 - -2291\/6864. Factor 4\/3*z**2 + o*z**3 + z + 0.\nAnswer: z*(z + 1)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -2*h**7\/21 + 31*h**6\/30 - h**4\/12 - 157*h**3\/6 - 142*h - 2. Find the third derivative of z(j) wrt j.\nAnswer: -240*j**2 + 744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(480)\/(sqrt(8)*-1))\/(sqrt(12) - sqrt(36)\/sqrt(3)*2)*4.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 6. Let r be u(-4). Let a(s) = 1 + 216*s**2 - 5 - 420*s**2 + 211*s**2. Let f be a(r). Calculate the highest common factor of f and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1216)*-1)**2 + 3 - (-2*sqrt(1216) + 3 - ((sqrt(1216) + 1 - sqrt(1216)) + sqrt(1216))*-2))*-3.\nAnswer: -3654 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -333637260 to the nearest 1000000.\nAnswer: -334000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.74 - 6.34. What is b rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*2834\nAnswer: 11336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(10*(-7)\/84) - (-27 - -30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = 4*a, -503*y + 497*y = 2*a - 82. Determine q so that -74\/11*q - 2\/11*q**a + 76\/11 = 0.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1199, -2421, -3641, -4859, -6075, -7289, -8501?\nAnswer: -9711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = r - 5*d + 42, 4*r = d - 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*y + 319 = -412 + 200 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1781\/7 + -254. What is the closest to 0.4 in -0.2, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-170)\/25))\/(3\/(-2))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 6. Let z be (-6)\/(0 + t) + 2. Suppose 4*g - 76 = -z*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4))\/(275\/(-110))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Let j be 4\/6*183\/m. Let a be (-6 + -1)*(1 - j\/98). Does 2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63397 - -108306. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2. Let x(t) be the second derivative of -t**6\/144 + t**4\/12 - t. Let m(j) be the third derivative of x(j). Give l(m(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/29 in 5, 101, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 8*f**2 + 3. Let u be g(4). Suppose 2*a - u = -3*w, -3*w + 9 = -w - a. Find the first derivative of -6 + 164*m**3 - 160*m**w + 2 - 6 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 952 = 3*i, -760 = -4*y - 4*i. Calculate the remainder when y is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99.64 + 103. Let k = j - 0.88. Round k to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22823*s**2 + s + 45638*s**2 + 66 - 22823*s**2 in the form y*s + q*s**2 + o and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose 17 = o - 5*x - 0, -o + x = -5. Suppose o*t = -t + 3*y + 57, 2*t - 48 = -j*y. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 14*n + 1700. Calculate the smallest common multiple of 20 and y(0).\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i**2 + 33*i**2 - 17*i**2)*(-2 + 36 - 3).\nAnswer: 155*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*k**2 + 60*k**2 - 6*k**2)*(-5*k - k**2 + 5*k) + k - 4*k**4 - k + (5*k - 2*k - 4*k)*(2*k**3 + 3*k - 3*k).\nAnswer: -39*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from {t: 2, d: 9, p: 8}?\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, 119, -3091 in decreasing order.\nAnswer: 119, -5, -15, -3091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (67 + -17 + 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 30. Let z be m(16). Solve 0 = -3*s + 12, -z*t + 3*s - s = 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**3 + 4*j**2 + 30*j - 115. What is the remainder when 354 is divided by s(3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 36*x - 1048. Let s be c(29). What is the nearest to 0 in 1, 0, s, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38584.1 * 261\nAnswer: -10070450.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*u + 4 + 107*u - 5.\nAnswer: 249*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 58*y - 33. Let z(s) = -69*s + 31. Let g(c) = 6*a(c) + 5*z(c). Give g(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:01 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 841 (b) -4 (c) 4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2 + 2*o**4 - 2*o**4 - 1467*o**5 + 1492*o**5 wrt o?\nAnswer: 1500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 2 - 2 - n**3 + 0*n**2 + 0*n**2 + (6*n - n - 3*n)*(-4*n - 2*n**2 + 4*n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/11)\/((-2)\/34). Suppose -47*l - 11*l = 63*l - 363. Let v = l + a. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -10. Suppose -3*a - k = -2*t, -3*a - 7 = -2*t - 3*t. Sort -0.2, -3, a in decreasing order.\nAnswer: -0.2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111100101010010111010 - -10?\nAnswer: 1100111100101010010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 15*x + 9. Let p be q(8). Let s(w) be the first derivative of w**3 + 0 + 1 + 0 - w. Give s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2752*b**3*i**4 + 42*b**3*i**2 + 34*b**2*i - 73*b*i**2 + 89*i**5 wrt i?\nAnswer: 66048*b**3*i + 5340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iefgidbedbdbdbi. What is prob of picking 1 g, 1 i, and 2 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o**2 + 304*o**2 - 146*o**2 + 490*o**2.\nAnswer: 606*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2184391 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -19. Calculate the remainder when 22 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 351892\/3 + -117297. Factor 0 - 10\/3*s - y*s**2 + s**3.\nAnswer: s*(s - 2)*(3*s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 6*u - 6. Let a be j(-7). Let v = 4 - 2. Suppose x - v = a. What is the smallest common multiple of x and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7246*z - 7677*z + 14909*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.13 - -0.13. Let f = 31227 - 31222.0001. Let t = g + f. What is t rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 396687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*-1*1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**2\/11 + 33604*n\/11 - 1233408.\nAnswer: -2*(n - 438)*(3*n - 15488)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-120)*6*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 8, n: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**3 + 30*w**3 + 61*w**3)*(3 - 6 + 2)*(-w**2 - 3*w**2 + 1 + 2*w**2).\nAnswer: 166*w**5 - 83*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/17647582 and -76\/27.\nAnswer: 476484714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(s + 2 - 3*s + 0*s)*(-7 + 3 + 3).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151143518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1980 and 139\/536040?\nAnswer: 5896440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -1 - (63 + -68).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l + 6*l - l + 0*l. Let x(a) = 8*a. What is 3*n(v) + 2*x(v)?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1354 + -1226. Calculate the remainder when u is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 + -0.04. Let g = -29.4 + 29.4. What is the fourth biggest value in g, 6, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191426 is divided by 7088.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*u = 0, -3*o - 7*u = -10*u + 3. Find the third derivative of 30 + 87*i**4 - 30 + 5*i**2 - 11*i**o wrt i.\nAnswer: 2088*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3840, 6606, 11224, 17700, 26040, 36250?\n\"Answer: x**3 + 920*x**2 - x + 2920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 18. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 - 143771*l - 3450568\/3 = 0. What is l?\nAnswer: -8, 431321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:24 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 8*j**2 - 11*j + 8. Let k be r(7). Let s = 19 + k. Which is greater: 1\/14 or s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence judd when four letters picked without replacement from wwudaaaajdwaaddtujwa.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1217333.34 nanoseconds to days.\nAnswer: 0.00000001408950625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 214267095047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7011.634 centuries to millennia.\nAnswer: 701.1634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164 (base 10) to base 7.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (6 + -4))\/2. Let i = -29\/3 - -61\/6. Let -x*w - 1\/2*w**3 - i - 3\/2*w**2 = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450247.\nAnswer: 7, 131, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4445)\/16002)\/(8\/18).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 3*g + 53*g**2 - 4*g.\nAnswer: 53*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66*(-20)\/8)\/(-2). Let u = 84 + h. Let t = 1916 - 1915.9. Which is the closest to t? (a) -7 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406028 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 52*v**2 - 4*v. Let h(r) = -261*r**2 + 21*r. Let l(s) = 4*h(s) + 21*x(s). Let q(p) = 2*p**2. Determine l(q(n)).\nAnswer: 192*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 2\/5 (c) -15 (d) 247 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*1 + 5*-1*sqrt(5) - ((sqrt(35) + sqrt(875) + sqrt(35))*6 - sqrt(35))\/sqrt(7))**2.\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 4. Let f be d(4). Let n(q) = 2*q**2 - 31*q + 15. Let a be n(15). Suppose f = r - 2, a = 2*s - 7*s - 4*r + 93. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqm when three letters picked without replacement from {m: 3, q: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000155073454 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*b = -8*b + 14, -8 = 4*o - 4*b. Let g(p) = -5*p**3 - 4*p**2 + 2*p - 3. Let m(t) = 4*t**3 + 3*t**2 - 2*t + 2. What is o*g(f) + 4*m(f)?\nAnswer: f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.973 + -0.027. Let b = 82.5 + r. Let p = b - -17.8. What is p rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2. Suppose 0 = 4*w + 5*t + 170, 0 = 3*w + 2*w - 3*t + 231. Let a be 2\/8 - w\/12. Let s(k) = -2*k + a*k + 0*k. Determine b(s(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 1026 = 666 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d - 443*d**2 + 341*d**3 + 443*d**2 + 5*d - 33*d.\nAnswer: 341*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*a - 19, -16*a = 3*v - 17*a - 13. Suppose v*j + 5*o = 2*j - 41715, 0 = -5*o + 5. Round j to the nearest 100.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1251663 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*(-176)\/11*(392\/32)\/1?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2262*q**3 + 8*q**2 - 8*q - 7953. Let k(s) = 1508*s**3 + 5*s**2 - 5*s - 5302. Let a(d) = -8*k(d) + 5*p(d). What is the derivative of a(b) wrt b?\nAnswer: -2262*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 + 2*d**2 - 2*d + 2. Let l(w) = -10*w**3 + 4*w**2 - 5*w + 5. Calculate 5*i(t) - 2*l(t).\nAnswer: -5*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2904 + 0.0904. Which is the nearest to 3? (a) o (b) -8\/3 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.89 + -0.89. Let v be 0\/(0 + 1) - -5. Suppose -v*k - 5 + 0 = 0. Sort 2, g, k.\nAnswer: k, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 60274130.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*b - 2, 2*b - 110 = -8*n + 103 - 225 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52557790 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by -167702.\nAnswer: -113\/167702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-7)\/35 - (-29)\/5. Solve -2*f + 0*f + u = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -5, 14 in increasing order.\nAnswer: -198, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = l, -3*x = -2*l + 6*l. Suppose l = 3*k - 2*k - 9. Suppose -5*n = -3*n - 2. What is the highest common divisor of n and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3297 = 4*s + 3337 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907133287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 0. Suppose -2*w - d = p, 0 = -0*w + 2*w - d - 8. Is 3 a factor of ((-3)\/(-4))\/(w\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -252135272.\nAnswer: -126067636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 875\/6? (a) -5.9 (b) -0.3 (c) -3 (d) -17 (e) 5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3508727 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-33) + (-348)\/(-22) + 282\/94.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {f: 2, m: 2, k: 1, n: 11}.\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14249 or 17158?\nAnswer: 17158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 7*r**4 + 6*r**2 - 6*r + 2*r**3 + r**2 - 8*r**2 - 4 to v + k*r**2 + d*r**3 + u*r**4 + z*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6045\/(-124))\/13 - 1730\/(-440)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -8*a + 20. Put a, 3, -25 in ascending order.\nAnswer: -25, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 82\/1057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 952 = 4*p, -5*p - 3*w + 980 = -p. Suppose 3*j - 3*f - 191 = -f, 0 = -2*j + f + 126. Calculate the remainder when p is divided by j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 + -0.033. Let o be 2\/4 - 6\/4. Which is the second smallest value? (a) z (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01938305637 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 22*v + 1231 = 5*j, -j = 3*v - 257. Calculate the greatest common factor of j and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 54 = -16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75121 + 75120. Suppose 0 = n + 3 + 5. Is a bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.3 + -38.29639. What is h rounded to 4 decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*u**3 + 64839975*u**2 + 43226665*u + 7204445.\nAnswer: -5*(u - 1440889)*(3*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(0 + (-1*(5 + sqrt(80)*1) - (-5 + -3 + sqrt(80)*1))))**2.\nAnswer: -256*sqrt(5) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/38808 and 69\/14.\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5*z**4\/12 + 283*z**3\/6 + 84*z**2 + 951*z. Determine x so that i(x) = 0.\nAnswer: -56, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (-6 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(31*r**3 + 34*r**3 + 30*r**3)*(-4 + 1 + 5)*(0 - 1 + 2).\nAnswer: 380*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byffyffyjy. What is prob of sequence fy?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009693653 to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/310285225 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**2 - 1438*l - 965. Give y(-239).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*v - 165 = 148*v + 40*q, 5*q + 40 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 5*c - 10, -29*c + 24 = 4*k - 30*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/42 and -79\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2277)\/102 - (-4)\/(-7 + (-141)\/9).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*x + 5. Suppose -4*c = 4*j + 4, 4*c = -2*j - 2 - 2. Suppose 4*q - 4*b + 4 = j, 6*b - 3*b = x*q - 1. Put 5, q, -1 in increasing order.\nAnswer: -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = 0, -d + 33*f + 56 = 36*f. Calculate the remainder when 386 is divided by d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28559397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/56*(-4)\/49.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c2 + -4?\nAnswer: 8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 194, -41?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -7) + -9 + (2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/25*9*160\/1728.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 24 - 8 = 0. Solve 6 = u*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 16*n**2 - 345. Determine o(15).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 3*w**4 + 6*w + 14. What is the derivative of u(f) wrt f?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h**5 + 2*h**4 - 132*h**3 - 3351*h**2 + 2 wrt h?\nAnswer: 540*h**2 + 48*h - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqgm when four letters picked without replacement from mhhhmqglhqhh?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = 2*k + 5*n, 5*n = -25. Calculate the remainder when (-2)\/(-6)*(-48)\/(-2) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1744 = 4*m, -r - 2179 = -1114*m + 1109*m. Calculate the smallest common multiple of 3480 and m.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3722*z**2 + z + 410206 wrt z?\nAnswer: -7444*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 721c + -328?\nAnswer: 6ef4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*u = -4*u - 60, -295*a - u = -301*a + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*i - 12798 = -l, -3*l + 38466 = 3*i. Is l a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224 - 2230005?\nAnswer: -2230233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let z be x(5). Suppose 0*m - 5*u = 2*m - 25, -z*u = -15. Solve 20 = -m*q - 0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/6 - 5*c**4\/3 + 23*c**3\/6 - 2*c**2.\nAnswer: -c**2*(c - 1)**2*(c + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4.1. Let u = -0.286 + 0.186. What is the nearest to g in 0, 6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3656 + (-440)\/(-152) + (-4)\/(-38). Suppose r + 5*q = l, -4*r = q - 3*q - 14636. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4 - 3267*d**3 - 2*d**2 + 18550*d.\nAnswer: -12*d**2 - 19602*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13590*h*n**3*x - 15*h*n**3 + 1589*h*n**2 - 2*h*x + 2*n**3*x - 68*n**3 - n**2*x + 3*n**2 - 14*n - 6*x - 1 wrt n?\nAnswer: 81540*h*x - 90*h + 12*x - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 0.03 (c) 0 (d) -2087 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(108)) + (2*(sqrt(108) + 2 + sqrt(108) - sqrt(108)))**2.\nAnswer: 90*sqrt(3) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008787 rounded to 5 decimal places?\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 12*g**2 + g - 11. Let k = -15607 + 15619. Determine q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)**(25\/2)*i**(-2\/11)*i*i\/((i**(2\/7)*i)\/i) assuming i is positive.\nAnswer: i**(118\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49806 and 432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 13 + 16)*(-4*y - 7 + 7)*(-2 + 2*y + 1 + 3)*(2 - 2 + 2*y).\nAnswer: -1616*y**3 - 1616*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -18.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7 = -33. Let g be (-6 + 7)\/(2\/q). Suppose -k - 151 = -g*v - 2*k, -4*v - 3*k + 157 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5387.7 - 5142. Let r = -126.5 + j. Let f = r + -119.807. Round f to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210 - -74. Let w = j - -140. Solve -w = 5*r - 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -843995997390.\nAnswer: -843995997390.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**7\/70 + i**6\/20 + i**2\/2 - 3*i. Let p(m) be the first derivative of c(m). Let p(j) = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 6*j**2 + 9*j + 13. Let h be t(-7). Is 8 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286038 - 29839. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/2 - (-9)\/9. Solve 6*w - w + 25 = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.444019 to three dps.\nAnswer: 1.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 961290470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-1)))**(-22\/5)*p**6\/p**(-1) assuming p is positive.\nAnswer: p**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58138114.\nAnswer: 2, 97, 299681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*((3*f + 0*f - 4*f)*(-1 + 0 - 1) + 22*f + f + 2*f).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326077 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 489. Suppose -6*m = 18*m - n. What is the remainder when 26 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1374*4\nAnswer: -5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -31497*n**2 - 14291*n - 14. Let g(t) = -10499*t**2 - 4764*t - 5. Let j(o) = -5*f(o) + 14*g(o). What is the second derivative of j(s) wrt s?\nAnswer: 20998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/3 (c) -0.3 (d) -0.654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26028006\/79 or -329468?\nAnswer: -329468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*n + 22*n**2 + 2 + 3*n - 21*n**2 as s + c*n**2 + f*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(104)\/(2*sqrt(8)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65\/6, -40\/33, -3\/8, 1.3.\nAnswer: -65\/6, -40\/33, -3\/8, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -433500 rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/((-73)\/(-876))*7\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 433607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w**5 - w**2 - 79\/24*w**4 + 0*w + 7\/120*w**6 - 9 + 0*w**3. Find the second derivative of r(u) wrt u.\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30792518?\nAnswer: 2, 827, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2629 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 504 - 10451616?\nAnswer: -10451112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Suppose 5*g - o = 12, 3*g - 2*o = -r*o + 12. Differentiate 4*p**g - p**3 + 0*p**3 - 1 + 2 with respect to p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 2 c when four letters picked without replacement from {c: 3, m: 1, w: 1, v: 4, q: 9}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + 0 + -15 + 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 110 = -36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b - 140 = -43*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5633900 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 18. Let j be p(-3). Let l be -3 + (0 + (-35)\/3)*j. Calculate the greatest common divisor of 160 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 413206937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6 = -3*b. Suppose 3*y - 2 = u + 1, b*y = -2*u + 10. Let r = 8 + -1. Calculate the remainder when r is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 7. Let v = -138 + 132. Let c(h) = -3*h + 21. Calculate the remainder when c(v) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-1\/6)*q*q**5)**(-15))**8)**26 assuming q is positive.\nAnswer: q**(-22360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - 584\/(-36). Let h(s) = -s**2 + 17*s - 20. Let k be h(g). Put k, 5, 7 in descending order.\nAnswer: 7, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 + 192 = 3*r - 5*m, -2*m = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 550\/100 + (1\/(-2) - 0). Suppose -3*l = i*l - 128. Solve 3*p = -5*m + 32, 0*p + l = p + 3*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10 and -41\/3249715?\nAnswer: 6499430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 285\/(-285)*33\/(-6)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 2 o when four letters picked without replacement from {x: 1, w: 4, z: 3, h: 3, o: 7}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/33 and -89\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 15*c - 9*c - 3930 = 0. Solve 144*x - 13 = c*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m - 14. What is the tens digit of x(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-7))\/((-69)\/(-161)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 5. Let q be y(1). Suppose -q*z + 3 + 17 = 0. Solve -z*g = 25, -2*g = 2*x + 3*g + 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 95 = t - r, -91 = -t + 5*r. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsfv when four letters picked without replacement from qfkssfv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41284804867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98) + sqrt(98) - (sqrt(12)*-2)\/sqrt(6))**2 + (sqrt(10)\/(sqrt(5)*-2*-1))**2.\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = h - 4*h + 31, x + 101*h = 97*h + 18 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Suppose q = 3*q + p - 840, 3*q + 4*p - 1250 = 0. List the prime factors of q.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 7*w**2 - 5*w - 3. Let g = -2 + 8. Let n be r(g). List the prime factors of (0 + 1)\/(n\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(833) + 2 + sqrt(833) + sqrt(17))*3.\nAnswer: -45*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/2*(-396)\/(-16335).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - 1*sqrt(95)) + sqrt(95))*-3)\/(-5*-1*sqrt(5)) + -3.\nAnswer: -3 - 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -49*c + 59. What is the units digit of d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4166580 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 236231*w + 4. Let c(l) = -14*l. Calculate c(m(y)).\nAnswer: -3307234*y - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -6484580 and 315061.\nAnswer: -6169519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a day in hours?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -87*l**4 - 7*l**3 - 5*l**2 - 5*l - 3812. Let h(a) = 88*a**4 + 6*a**3 + 6*a**2 + 6*a + 3817. Let r(u) = -5*h(u) - 6*x(u). Differentiate r(d) wrt d.\nAnswer: 328*d**3 + 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7 = 5*z + 1, -2*z - 4 = 0. What is the lowest common multiple of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -203*b**3\/3 - 18009. Let f(d) = 3*d - 4*d + 0*d. Calculate y(f(i)).\nAnswer: -203*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24*x**2 - 337*x + 32. Let u be f(14). Solve -2*z - 2*w + u = 0, -6*z = -4*z - 3*w + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 47\/9 - 2\/9. Let u be 2\/(-11) - (-342)\/66. Suppose -u*q + 20 = l, -2*q + q = -j*l + 22. Do l and 5 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*m + 26 = 0, 4*m + 11 = 2*h - 17. Let s(y) = y**2 - 9*y - 2. Let j be s(10). Calculate the greatest common factor of j and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3058344?\nAnswer: 2, 3, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -4*11)*3488. Suppose 4*p - j = 3*o, -6*o - 5*p - 250020 = -o. Round o to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13499244 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + 13 + -48 + 6 - -10 - 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-1 - -1) - 0. Let u(r) = -r**3 - r**2 - 1. Let y(t) = -3*t**3 - 4*t**2 - 2. Give d*u(n) - y(n).\nAnswer: n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, -2\/15, 2\/23 in descending order.\nAnswer: 1.8, 2\/23, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 2*h - 90, 0 = 4*h - 3*m - 176. Suppose h = 3*o - 0*v - 2*v, 0 = -5*o + 4*v + 69. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*2)**2 + sqrt(7) - (-5 + (sqrt(7)*-1)**2))*-4.\nAnswer: -1784 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**7\/7 + 17*g**5\/20 + 155*g**4\/4 + 22*g. What is the third derivative of s(a) wrt a?\nAnswer: 360*a**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (17 - -29 - -6 - 14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (1*sqrt(99) - sqrt(99))) - ((6*2*sqrt(99) - sqrt(99)) + 1*(sqrt(99) + 0 + sqrt(99)) + sqrt(99) + sqrt(99)))**2.\nAnswer: -1080*sqrt(11) + 22419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**2 + 813*g + 2110. What is n(-99)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 48756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6\/11, -7, -1\/23, 3?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163401.\nAnswer: 3, 7, 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/56)\/((-2)\/7))\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4089 divide 62271381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - 3*p**3 + 0*p**3. Let k(j) = 0 - 1 - 11*j**2 + 20*j**3 - 16*j**2 + 7*j + 2*j. Let b(y) = -3*k(y) - 21*l(y). Factor b(m).\nAnswer: -3*(3*m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 1. Let z(n) = 4*n**2 - n. Let y(v) = -3*r(v) + z(v). What is y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2264\/(-3396)*(-3)\/(-2). Let g = -0.06 + 4.06. Which is the fourth biggest value? (a) l (b) -4 (c) g (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4255 - -4255.1. Put 0.7, -5, p in decreasing order.\nAnswer: 0.7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3032107 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2513198277*s - 2513198633*s - 1 + 1.\nAnswer: -356*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2129803, 2129806, 2129809, 2129812?\n\"Answer: 3*r + 2129800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2942 - -2960.51. Let z = u - -0.49. Is z at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-465.\nAnswer: 4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*s**2 - 1033 + 518 + 515.\nAnswer: 264*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:21 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m + 99. Let i(f) = f + 9. Let g be i(-7). Calculate the common denominator of g - 162\/m - -2 and 91\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*t = -15, 10*t + 10 = 8*t. Factor 9 - 50*s**2 + 2 - 5*s**c - 5*s**3 - s**4 + 20*s + 28 + 21*s**4 + 1.\nAnswer: -5*(s - 2)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 43. Let m be w(-46). Suppose 0 = -g - v + 1772, 4*v + 5324 = m*g + 3*v. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6*z. Suppose 0 = -z*u + 5*u - 185. Suppose 0 = 4*k - u - 31. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*l*s**2 - 65*i**2*s + 13*l**2 - 6*l*s**2 - 2*s**2 with respect to l.\nAnswer: -2*i**2*s**2 + 26*l - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1068579 divided by -46\nAnswer: 1068579\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3906\/(-210) - (0 + 4\/10). Sort 0, -4, d in decreasing order.\nAnswer: 0, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = 3*q - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*4 + sqrt(88))\/sqrt(11))\/(sqrt(144) + sqrt(144) + sqrt(144)*-3).\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 11272?\nAnswer: -11264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4780182606 to the nearest integer?\nAnswer: 69139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 359748 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3342 rounded to zero dps?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -9 (c) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + d + 4. Let t(f) = 2 + 2*f - 3*f - 7 + 2*f**2. Let w be (12\/(-10))\/((-4)\/10). Calculate w*n(b) + 2*t(b).\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*g**3 + 6376626512*g**2 + 508267069643940772*g - 203306828877836552 = 0. Calculate g.\nAnswer: -159415663, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4878499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1, -2\/11, -0.0743?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -1\/5*f**5 - 20\/3*f**3 + 1\/18*f**6 - 8\/3*f**4 - 16\/3*f**2 + 0*f + 243. Let q(a) = 0. What is a?\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*h - 13*h**2 - 27*h)*(-5 + 5*h + 5 + (2 + 3 - 6)*(5 + h - 5)).\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 172368 - 52243 = 0. List the prime factors of t.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -40. Which is the third smallest value? (a) h (b) 1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -120219 equal to -120220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666 divided by 1.\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58137 and 31.\nAnswer: 1802247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23279128.\nAnswer: 2, 23, 126517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/165*((-125)\/(-20))\/(-25)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -2 - (-3 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4\/5, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*i - 26120 + 1630 = 0 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 32 = 5*o + 63, -3*o - 41 = 5*l. Put l, 8, -0.316, -2\/5, 4 in descending order.\nAnswer: 8, 4, -0.316, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 248722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*f + 174 = 2*x, 670 = 4*x + 5*f. Let b = x + -159. Let k(l) = l - 2. Let m(u) = 2*u - 6. Give b*k(y) - 4*m(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/50 and 83\/44.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 18. Let v(u) be the first derivative of u**4\/4 - 7*u**3\/3 + u - 85. Determine v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -432 + 431. Which is bigger: 1\/60 or h?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -79 - 251. Let j = p + 64. Let l(z) = -3*z**2 - 6*z - 1. Let h(t) = -t**2 - t. Let g(v) = j*l(v) + 10*h(v). Factor g(o).\nAnswer: -2*(o - 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - 168\/120. Let l be d*(-4)\/(-12) - 20\/(-6). Suppose -10 = -2*z - 2*y, 2*z - y = 4*y + l. Let o(q) = q**3 - 4*q**2 - 3*q - 5. Calculate o(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 3:36 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r = 0. Suppose -2*s + 3*s = r. Solve -2*o + s*o = 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.2. Suppose -5 = -5*j + 5. Let x be (-6)\/(-20) - j\/12. Which is the closest to -1? (a) x (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/4)\/(7\/(-644)) + 4. Which is smaller: h or -225?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392426, -784852, -1177278, -1569704?\nAnswer: -1962130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4334 - 0?\nAnswer: -4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, 20 in descending order.\nAnswer: 20, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -253, 0.2, -62?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 406 + -420. Is 4 a factor of p\/(-4)*(39 + 35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c - 7. Let d be v(-8). Suppose g = -2*g - d. Let o(h) = 3*h**2 - 8*h + 9. Let p(q) = 16*q**2 - 41*q + 45. Let y(j) = g*o(j) + 2*p(j). Factor y(x).\nAnswer: -(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 4*t - 3. Let b be x(1). Let z(u) = u**3 - u. Let o(y) = -4*y**3 + y**2 + 3*y. Determine b*o(n) - 3*z(n).\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -721, -1099, -1481, -1861, -2233?\nAnswer: -2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110010?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + y)*((2 - 6 + 3)*(3*y - 3*y - y) - 2 + 2*y + 2 + 1 + 2*y - 1)*(-11142 + 11142 - 84*y).\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*2 - sqrt(504))\/(3*sqrt(700)) + 1)**2.\nAnswer: 2*sqrt(2)\/5 + 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a - 38. Let i be m(-16). Solve -4*f - 5*x + 13 = 0, -i - 5 = 2*f - 5*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82694094 divided by -4494?\nAnswer: -18401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*d + 4, -2*a = -3*d + 6*d - 14. Suppose -l = -d - 2. Let f = l - 3. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 f, and 1 g when four letters picked without replacement from {y: 1, g: 4, p: 4, f: 10, c: 1}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 34*l + 36. Calculate s(37).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**3 + l + 5. What is the first derivative of b(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 - 18*u + 5. Give b(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 11. Let z(i) = -i**3 + 5*i**2 + 3*i - 16. Let w be z(5). Let j(y) = 14*y**2 - y - 3. Let k be j(w). Give t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2304 - -2411312?\nAnswer: 2414121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3 - k**2 - 3*k + 1. Let s = 0 - -1. Let n(d) = 4*d - d**2 + 1 - 11*d - d**3 + 6*d. Let r(m) = s*q(m) - 5*n(m). Find l such that r(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60968010919620*q - 8*q**2 - 60968010919620*q.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 57189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-3 - (6 - 2)). Let r(z) = z**2 - 6*z + 3. Let a be r(4). Let v = a - f. Which is greater: 4 or v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419835 is divided by 335?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 137*i - 7667. What is u(-105)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9182 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 12 (base 13) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**3 - m - 10*m**2 + 4*m**3 + 8*m**2 to the form n*m + b*m**2 + j + u*m**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 35*u + 50. What is a(7)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11032310201 (base 4) in base 13?\nAnswer: 3902c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16.568 (b) -11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/17, 17, -5\/8, -4\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*3\/(9\/6). Suppose 4*p = 14 - h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwwfwwxxxxfxfxwfx. What is prob of picking 3 w?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-36) - 119\/(-9). Suppose -x = -5*l - 3. Suppose 2*m - w - 50 = -2*m, -l*m - 5*w + 14 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -3 (c) -123\/7 (d) 1\/5 (e) -4 (f) 11 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggceggggeecg. Give prob of picking 2 g.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071*b - 26347 = -91678 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75, -4, -83, -162, -241, -320?\n\"Answer: -79*j + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -104.1648674\nAnswer: -104.6648674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-6)\/9)\/(2\/(-3))*70\/14?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18660679?\nAnswer: 17, 19, 57773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-875)\/(-9) - 44\/198 is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) -0.5 (c) 0.4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190*l - 64 wrt l.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*u**4 + 4 + 0*u**4 + 6 - 2 wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s + 22*s**2 + 11*s + (2*s + 0 - 3 + 2)*(3*s - 12 + 12).\nAnswer: 28*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4794926000 rounded to the nearest 1000000?\nAnswer: -4795000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.94 - -26. What is the biggest value in j, -0.2, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3 = -n - 4, -3*t + n = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-8)*z**(2\/5)*z**(-12\/7)*z**7 assuming z is positive.\nAnswer: z**(-46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.7 + 43.6. Let s = 11.8 - y. What is the smallest value in 2\/11, s, 0.1, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 2. Let h(j) = 4*j - 8. Let s(i) = 9*b(i) + 2*h(i). Let k be (56\/10)\/(2\/5). Let u = -8 + k. Calculate s(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 12.2, 2, -232, -5.\nAnswer: -232, -63, -5, 2, 12.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.19069 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 567 = -k. What is the greatest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/8 (b) 16161 (c) -2\/13 (d) -4 (e) -0.4 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 287208000 to the nearest one million.\nAnswer: 287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-2)\/10*26\/52*10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709505.\nAnswer: 5, 41, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from zttzzteezthhttzzhtw?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -28. Sort -5, -4, d.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142028364 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 0.3533.\nAnswer: 0.5533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - 2*y + (1 + 3 - 2)*(-1 + y + 1) + 40 - y - 40)*(-3 + 1 - 6).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/60 + 2*b**2. Suppose -4*a - 2*m = -27 + 7, -m + 17 = 3*a. Let o(z) = -z + 2*z - 7*z - a*z. Determine l(o(s)).\nAnswer: 169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.69 + -0.31. Let w = 31.19 + j. What is w rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15987850867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -6, -68, -186, -378, -662, -1056?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13437 is divided by 6717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4651*i**3*x - 2*i**3 - 13*i**2*x - 18*x + 16378 wrt i?\nAnswer: 13953*i**2*x - 6*i**2 - 26*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from fzzsewfwwzxsefws?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*f = 43, 4*p = -3*f - f + 52. Solve 0 = -6*i + p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/51 - 10\/(-85). Do f and -2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -1\/360*b**5 + 0 - 3*b + 4*b**2 + 0*b**3 - 1\/144*b**4. Let l(p) be the first derivative of q(p). Let l(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -268, -263, -256?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -312*q**5 - 101*q**4 + 209*q**3 - 2*q**2 = 0.\nAnswer: -1, 0, 1\/104, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 + 734*b - 1 - 3 + 1615*b.\nAnswer: 2349*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 241962\/(-57610)*120\/(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 632 (base 8) to base 13\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(((sqrt(10) - sqrt(40)\/sqrt(4)) + sqrt(10))*-4))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2592 and 21024.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 48. Let d be (-272)\/(-51) - (-2)\/(-6). Let p = k - d. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2925 and 9594?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83497, -167430, -251363?\n\"Answer: -83933*c + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47010194?\nAnswer: 2, 7, 11, 27751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-8)\/(-14)) + -1. Let l = y - -29. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 3*v**2 + v. Let h be y(2). Is h\/(-6) + 340\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418039 (base 10) to base 13.\nAnswer: 11837b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18608 is divided by 1119?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -77*j + 80*j. Solve -4*y + 22 = -j*n, -y + 4 = -5*n - 3*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58621753 to the power of 1\/2, to the nearest integer?\nAnswer: 7656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 15*n + 8. Suppose 5*x - 4 + 44 = 0. What is the tens digit of s(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 + -106. Suppose -w = -2*o - 16, -3*o + c = -w + 52. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**4 + 456*a**3 - 8640*a**2 + 52704*a - 106272 = 0.\nAnswer: -246, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3087).\nAnswer: 1 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19417767.\nAnswer: 3, 83, 77983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/120 - p**5\/6 + 5*p**4\/12 - 7*p**3\/6 - 2*p**2. Let s be y(9). Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 36010*m + 648360050.\nAnswer: (m - 36010)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -866360, -866335, -866310, -866279, -866236, -866175?\nAnswer: -866090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 55*v**3 + 3*v**2 - 2*v - 12. Let s be r(-7). Does 72 divide 1\/5 + 1*s\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 201660*g + 2 + 99734*g + 101926*g.\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8685, -17051, -25413, -33771, -42125, -50475?\nAnswer: -58821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4233433 (base 5) to base 8\nAnswer: -212716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/99)\/(-2) + 668\/(-44). Which is greater: p or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 3 (c) -0.5 (d) 2\/3 (e) 3991\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -10*w - 419. Let v = w + 70. Solve -7*f - 11 = -4*f + 4*m, 0 = -v*f - 5*m - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, 7, 39, 95, 181, 303?\n\"Answer: y**3 + 3*y**2 - 2*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6226*z**2 - 6*z**3 + 669*z**4 + 89*z**4 + 6106*z**2 - 14923*z**2 wrt z?\nAnswer: 18192*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 9. Calculate the remainder when o(-6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16462 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230487 is divided by 511.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -2, -1\/5 in descending order.\nAnswer: 41, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-8))\/((-3)\/12). Suppose 0*s + 5*s + 29 = 3*j, 4*s = -h*j - 7. Is j <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -47. Suppose -v = -5*r + r. Factor 0*s**3 + 1\/2*s**2 - 1\/2*s**r + 0 + 0*s.\nAnswer: -s**2*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-24)*-3*1. Which is the closest to -1\/4? (a) -6 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2184, 2233, 2260, 2253, 2200, 2089, 1908, 1645?\n\"Answer: -2*s**3 + s**2 + 60*s + 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 19. Let x be k(-3). Let w(d) = d**3 + 5*d**2 + 5*d + 1. Determine w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -i - 4*k + 3*k, 3*i - 4*k = 95. Let u = i - -5. Suppose 25*g - u*g + 2000 = 0. Calculate the highest common divisor of g and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/3, -3, -7, -7\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 30cb46?\nAnswer: 30cb38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = 5*c, -3*z - 12 = -c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1499661 < -1499660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.52 to 0 dps.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*b - 50, -5*b - 45 = -m - 3*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 3, f: 4, v: 2, x: 9}. What is prob of sequence vvxf?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 17237*r + 10809 - 6504*r - 10736. Let s be u(19). What is s rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1809*r + 28947. Give w(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -l, 13 + 8 = 3*l - 4*g. Solve d - 4*c = -8, l*d - 2*c = -7*c - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14*j + 93. Let v be l(6). What is the greatest common factor of v and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5285703 to the power of 1\/2, to the nearest integer?\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32040607 is divided by 8010147.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = j + 18. Find the common denominator of 111\/20 and 0 + j - (1179\/(-108) - -9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1001448 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 5 = -97. Let v(w) = -w**2 - 6. Calculate v(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.547 + -30.547. Which is the smallest value? (a) -22 (b) n (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141815 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96915763 to the nearest integer?\nAnswer: 9845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*z + 4*q + 14, z - 7 = -q. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13207*i**2 + 337*i - 170*i + 2 - 165*i.\nAnswer: -13207*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -10567 - 7235. What are the prime factors of k?\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8461, 31278, 68467, 120028, 185961, 266266?\nAnswer: 360943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckmt. What is prob of sequence mt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*u = 16, 5*k + u + 2*u + 26 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let m(c) = c. Let l(f) = h(f) - 2*m(f). Let q(x) = 4*x**2. Calculate l(q(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50259974 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 889, 1521, 2153?\n\"Answer: 632*w + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -14. Suppose 5*j + 98 = q, -2*q - j + 141 + 44 = 0. Suppose 4*z + q = s*z. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + (-13)\/(-9) + 5. Let j be (-4)\/(-15) - 2\/3. Is j not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7917835, -7917840, -7917857, -7917892, -7917951?\n\"Answer: -o**3 + 2*o - 7917836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/3 + 3*w**2\/2 + 4*w - 3. Let v be b(8). Let f be (v\/(-40))\/((-3)\/(-5)). What is the biggest value in 2, -1\/4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -3*h**4\/8 - 13*h**3\/6 + h**2. Suppose -7*r - 96 = r. Is c(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 6. Suppose 5*j + 8 = 3*j. Let a(y) = -1. Let t(d) = j*a(d) - g(d). Differentiate t(r) with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577 - 4*a + 577.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4756 + 8956. What is r rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/86*((-1)\/(-18))\/(34*(-27)\/(-8262))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w - 14*w**3 - 14*w - 13*w + 126 + 11*w**2. Let x(h) = 3*h**3 - 2*h**2 + 2*h - 25. Let q(f) = -11*x(f) - 2*z(f). Differentiate q(p) wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 6\/(-33) - ((-765)\/33 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1089078128 to the nearest one million.\nAnswer: 1089000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*y + 2*l, 5*l + 13 - 8 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3040397.\nAnswer: 2\/3040397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - w**2 + 2 + 12*w**4 - w**2 - 15*w**4 as a*w**3 + z*w**4 + x*w**2 + j*w + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 9*(-3)\/(-36)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 18\/24) + (-143)\/(-4). Find the third derivative of -114*x**2 - 101*x**6 + n*x**6 + 40*x**2 wrt x.\nAnswer: -7800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-148)\/962)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -851 + 862. What is the third biggest value in 0, 2\/5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/161)\/10)\/((-4)\/8)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 355774451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528016605 to the power of 1\/2, to the nearest integer?\nAnswer: 39090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 52*p**2 - 34*p - 9. Is o(-46) 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 69572896?\nAnswer: 2, 191, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -60.450941549 from -0.11.\nAnswer: 60.340941549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -156 + 270. Is 9 a factor of (h\/4)\/(30\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 778 = 42*o. What is the remainder when o is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10733 is divided by 90.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 2540.\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 2) + (64 - (-151 + 136))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 3\/(-1)) + -8 - -2. What is the common denominator of ((-23)\/z)\/(4\/(-6)) and 41\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 1:35 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 89323 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*-75442.\nAnswer: -4224752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-20) - (-1 - (-514)\/8). What is the smallest common multiple of 60 and (2\/(-3))\/((14\/k)\/2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 + 306 = 4*r. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*z - 6, 35*y = -4*z + 40*y + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15656844)\/966 - 4\/46. What is n rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -60. Calculate the lowest common multiple of x and 14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 71*z - 14. Let w(s) = -24*s + 5. Determine 3*u(n) + 8*w(n).\nAnswer: 21*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 209*b + 198*b - 71 = 0, 4*b = 2*n - 4 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 24 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -615b?\nAnswer: -6160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.147 * -1.5\nAnswer: 0.2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3\/(-9)) - -7. Suppose k*q + s = -2*s + 19, 2*q = -3*s + 17. What is the remainder when 1 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1.899, -1\/4, 22\/25, 5\/6.\nAnswer: -1\/4, 2\/5, 5\/6, 22\/25, 1.899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271402?\nAnswer: 2, 135701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 31 - (410 + -381)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 16*s - 13. Let q be t(-9). Solve -16 = 11*b - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/63)\/(4\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - -10) + 4 + 1 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-40) + (-279)\/(-744)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11.525*-1.5\nAnswer: -17.2875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*i**3 - 52*f*i**2 - f*i - 4176*f - 3*i**3 wrt i.\nAnswer: 12*f*i - 104*f - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*m**2\/4 + 5217*m\/2 - 474.\nAnswer: -3*(m - 316)*(11*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, -3 in descending order.\nAnswer: -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-15)\/6*(-90)\/25 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2. Let m(p) = -26*p**4 + 70*p**2 - 31 - 9*p**4 + 11*p**3 - 81*p**2. Let x(n) = 44*d(n) - 4*m(n). What is the derivative of x(i) wrt i?\nAnswer: 560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urourruzrrjooqrqor. Give prob of sequence oq.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475146786 to the power of 1\/2, to the nearest integer?\nAnswer: 38408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3100*y - 21941*y + 3 - 17074*y - 3 as l + w*y and give w.\nAnswer: -35915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2800)*144*(-10)\/3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 183477469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 1964 = 986. What is the derivative of -4*t + 30*t + 40*t + i*t + 51*t + 201 wrt t?\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-252)\/1470*(415 - -1 - 1). Let z = q - -71. Let s = -55 - -85. Which is the third biggest value? (a) s (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*v + 17*v + 18*v + 44*v - 21*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -28, 62, -3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(1584) - sqrt(1584))**2 - sqrt(1584)).\nAnswer: -24*sqrt(11) + 12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-86)\/(-6))\/(4\/12). Suppose s = 4*t - 149. Suppose 32 = 4*a - t. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xajn when four letters picked without replacement from {u: 2, a: 5, x: 4, j: 1, n: 2}.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-56)\/(840\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478902766?\nAnswer: 2, 37, 1987, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333018\/5 + 67230. Let k = -629 + o. Let w = k - -11\/10. What is the second biggest value in w, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:13 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let g(r) = -5*r + 2 + r**2 + 0*r + 2*r. Calculate g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-14 - -8 - -1 - (45 - 59))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33\/17 - 211\/170. Calculate the common denominator of 39\/380 and h.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 491 = -293. Calculate the lowest common multiple of x and 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 5. Let x(h) = 17*h - 21. Let s(j) = 9*w(j) - 2*x(j). What is s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 1. Let f(q) = 8*q - 1. Let j(k) = -k. Let v be j(1). Let n be f(v). Let i be (-3)\/2*6\/n. Determine p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7724 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - -79. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7568 + 7767. Differentiate -121*o**2 + o + 15221 - j - o wrt o.\nAnswer: -242*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/75 - -991\/300. What is the common denominator of 43\/814 and x?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 59*t**2 - 363*t - 2107. Determine h(-6).\nAnswer: 2195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*v**4 - 591*v**3 + 29*v**2 + 2129613*v wrt v.\nAnswer: 516*v**2 - 3546*v + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(192) + (sqrt(192)*-1 - sqrt(192)) + sqrt(192) - sqrt(3)) + 0)**2 - 5*(sqrt(33)\/(-1*sqrt(27)))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15285517 - 7.\nAnswer: 15285510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1550\/9 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 555427767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 2*b**2 + b + 1. Let f(n) = -18*n**3 + 11*n**2 + 5*n + 4. What is f(a) - 4*p(a)?\nAnswer: -14*a**3 + 3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -79718 divided by -12?\nAnswer: 39859\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -22\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t + 11. Let d be z(-9). Let p = 119 + d. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125150166 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 176 = -152 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let r(z) = -1325*z**2 + 1315*z**2 + 0 - 2. Give g(r(l)).\nAnswer: 10*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -60, -92, -128?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:11 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46489969, 46489970, 46489971?\nAnswer: 46489972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 2. Let v be d(6). Which is the nearest to -1\/3? (a) v (b) 1\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5299247251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 130576 or -48?\nAnswer: 130576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 + 137 = -223*d + 233*d. Solve 0 = -32*q - 19*q - d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmom when four letters picked without replacement from cmccomcomcoll.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.6, 3\/7, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/12)\/(7\/5*(230\/(-138))\/1).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4256, -4234, -4210, -4184, -4156, -4126, -4094?\nAnswer: -4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-721)\/210 - (285\/(-18))\/19?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6868 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -340, -604, -868?\n\"Answer: -264*m - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*6*13\/(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5769304 to the power of 1\/2, to the nearest integer?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46292?\nAnswer: 2, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*636\/(-54)*102\/68*-1\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.006*-23301\nAnswer: -139.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 8*t + 4. What is the remainder when (2\/(-4))\/((-2)\/28) is divided by l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -597389.27131 - -597392. Let b = 495 - 492.27. Let s = b - t. What is s rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 6720*g**2 - 269685*g.\nAnswer: 5*g*(g - 1383)*(g + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 - 365 + 772 + 5*x**2 - 140*x = 0. What is x?\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/427 - -1265\/3416. Sort 0.4, -3\/5, m, 5 in decreasing order.\nAnswer: 5, 0.4, m, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - 18.7. Let g = -15 - p. Let o = -6.4 + g. What is the smallest value in o, -2\/11, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254 divided by 8.\nAnswer: -127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/1197687 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 1, j: 2, b: 1, q: 2}. Give prob of picking 2 q and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 240134430 (base 5) in base 4?\nAnswer: 10030121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/5)\/((-17720)\/33225))\/(3\/2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 11*h - 13. Let v be l(10). Let q = -11 - v. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 7 + 5 - 1. Let c = 563 + -563. Let m be x(c). Calculate the greatest common factor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8773 and 3131?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1803 divide 16956206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 35 = 11*n - 16*n, n - 2*d = 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 12*y**2 - 13*y - 16. Let h be f(-11). Let d(v) = 15*v**3 - 4*v**2 - 6*v. Let z(g) = -7*g**3 + 2*g**2 + 3*g. Give h*d(n) + 13*z(n).\nAnswer: -n**3 + 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 315 - 117 = -k, -198 = o - 3*k. What is the common denominator of (-14)\/12*(-63)\/(-12) and o\/(-9)*2\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -202*r - 880. Calculate o(-7).\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379.43 + 373. Let l = 0.43 + b. Which is smaller: -0.06 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4131 and 27.\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -7*q**2\/2 + 12*q - 9. What is the units digit of t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:56 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + (-6)\/(-3). Let f be u*1\/3 - -78. Suppose 5*i = l - f, l - 2*l + 67 = -2*i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 1 (c) 0 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451928 and 408.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-15))\/p)**(-12)*p*(p*p**(-29))\/p*p**(3\/8)*p*p assuming p is positive.\nAnswer: p**(-1645\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 82*y + 80 = -109. Calculate the smallest common multiple of y and 838.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*k + 2*k. Suppose -t - 2*u - 2 = -3*t, 5*t = 4*u + 7. Solve -t*j + k*j + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -21*k. Determine h(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521300 rounded to the nearest ten thousand?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5734774, -5734770, -5734766, -5734762, -5734758, -5734754?\n\"Answer: 4*w - 5734778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.3, -1, 14786 in descending order.\nAnswer: 14786, -0.3, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5567 and 43\/49945?\nAnswer: 278043815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27622.5189 - 27621. Let z = -0.246 - -1.776. Let f = m - z. Round f to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209989*g*x**5 + 25*g*x - 11*g + x - 4 wrt x?\nAnswer: -4199780*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223433*u**3 - 6329319*u?\nAnswer: 1340598*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t - 3*m = -531, 673 = 5*t + 13*m. Solve -t*d = -136*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and -1865.594.\nAnswer: -1864.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(120)\/(sqrt(8)\/sqrt(4)))\/((sqrt(528)\/(sqrt(55)\/sqrt(5)))\/sqrt(4))*1.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 2:50 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlv when three letters picked without replacement from vvlivlvvvllvvlvvv.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7749333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839, 6170, 20467, 48212, 93887, 161974, 256955, 383312?\nAnswer: 545527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 912\/(-114) + 139546\/(-2). Let j = h - -33481. What is j rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -200. Is y\/(-2)*(5 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-8) + 22\/4. Suppose j*m - 68 = m + 4*z, 5*m = -3*z + 45. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 272 * 2.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4014 - 30.6214. Round d to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82955 + 41468 + 41487 + 138*y.\nAnswer: 138*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5191 - 296*k - 297*k - 296*k + 1481*k - 288*k + 5191 - 302*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 3*s + 17, 4*n - 5*s = 2*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 106332\nAnswer: -3083628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - g + 2 = -a, 5*a = g - 2. Suppose a = h - 0*h - 6. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.01, -1\/249, 0.4, 1?\nAnswer: -1\/249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d + 28*d + 10 = 35*f - 28*d, -3*f - 5 = -d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-310)\/(-120) + -2)*82. Which is smaller: 48 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1486*r**3 + 38*r**2 + 10*r wrt r?\nAnswer: -8916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724 + 897 - 89 - 84 + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/w*w\/(w\/(w\/(w*w\/w**(-29)))))\/(w**4)**13)**48 assuming w is positive.\nAnswer: w**(-3792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -19, -14, -5, 8, 25, 46?\n\"Answer: 2*f**2 - 5*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -410240, -820483, -1230726, -1640969, -2051212, -2461455?\n\"Answer: -410243*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*m**3 + 4*m - 8 wrt m.\nAnswer: 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 4. Let m be (-6)\/(-4)*8\/3. Is m less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 45 = -2*c + 6*j, 4*c + 4*j = 40. Calculate the greatest common factor of c and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2\/15 - 43914476*v\/5 + 723180450882966\/5 = 0.\nAnswer: 32935857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(2\/95)\/((l**9\/l*l)\/l**(-1\/9)))\/(l**(1\/3)\/(l**0*l)*l**6\/l**(-8\/3)) assuming l is positive.\nAnswer: l**(-14666\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22138055 + -1?\nAnswer: 22138054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by 92.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208491?\nAnswer: 3, 69497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b4d23b (base 14) in base 6?\nAnswer: -1204130433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.019 + 0.081. Which is the nearest to 3? (a) o (b) -8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 544245303.1 to the nearest 10000.\nAnswer: 544250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 216 + 87?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 138, 224, 322?\n\"Answer: 6*n**2 + 56*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000071105 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 84*c - 88*c - 78 = 0, 4*u - 186 = -2*c. What is the least common multiple of 837 and u?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**2 + 8. Let v(q) = 11*q**2 + 9. Let p(g) = 6*l(g) - 5*v(g). Does 17 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169573.\nAnswer: 151, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*v**4 - 2*g**3*v**2 - g**3 + 3*g*v**2 - 2*v**6 - 116*v**3 wrt v.\nAnswer: -48*g**3*v - 240*v**3 - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122338 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/c**2)**(-1\/45)*(c**(2\/7))**(-2\/47))\/(c**7\/c**(-4\/5)*(c**(4\/9)\/c)\/c*c**(2\/5)) assuming c is positive.\nAnswer: c**(-6592\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(16\/(-4))\/4. Suppose -s*z + z = -3*u + 4, -u = 2*z - 5. Suppose -88 = -u*x - x. Solve 0*i = 2*i + 3*w - x, 4*i + 3*w = 32 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21434 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 1830 = 3*n - p, p - 3058 = -5*n. What is the greatest common divisor of 47 and n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -16. Suppose 2*o - 2*n - 44 = 0, -o + 1 = 4*n - 1. Suppose -2*l + 4*l = -3*k + 19, -y*k + o = -l. Solve -2*z + 0 - l = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439521, -439522, -439521, -439518, -439513, -439506, -439497?\nAnswer: -439486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8847 - 4903. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 4824 = 175*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0734 - -0.1266. Is 1983 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/60 + 5*y**4\/24 + 5*y**3\/3 - 14*y**2. Is z(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*v - 28064 = 2376*v + 32019 + 3808 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674642?\nAnswer: 2, 109, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/11 - 19*o\/11 + 34\/11 = 0 for o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -118. Suppose d*z = 33*z - 294. Determine j, given that j + z*j**2 - 3 - j + 15*j = 0.\nAnswer: -1\/2, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (0 + 72\/(-28)). Let f be 48\/(-20) - (-4)\/2. Sort 5, w, f in decreasing order.\nAnswer: 5, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-1 - 4\/(-2)). Suppose 0*n + g*a = 3*n - 101, -n = 2*a - 37. Suppose 3*q = 4*q - n. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24668 is divided by 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*3\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**9\/9072 + c**8\/2520 - c**6\/540 - c**5\/360 - 2*c**3\/3 - 1. Let q(w) be the third derivative of g(w). Factor q(a).\nAnswer: a*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 3389 - 3469 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5 - 15. Which is smaller: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 7*a**2 - 11*a - 22. Let f be u(-6). Suppose -11 + 155 = f*w. Solve h = -5*j - w, -6*h + 3 = -5*j - 2*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (-5 + sqrt(108) - sqrt(108)))**2*3 + 0.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - q + 3 + 3 = 0, -4*q = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1034401213 (base 5) to base 11.\nAnswer: -1305a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/85744 and 19\/53590?\nAnswer: 428720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 58 + 146. Let k be 180\/(-24)*(-56)\/(-10). Let b = -19 - k. Calculate the remainder when s is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8966938.\nAnswer: 2, 59, 75991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.06. Is m less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 + 279. Let p = 69 - i. Let b(v) = 9*v + 4. Let j(m) = -2 - 2*m - 2*m - m. Calculate p*j(s) + 6*b(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 14*y - 591. What is the remainder when 119 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(5) + 5 + sqrt(45).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -3 - 2)\/(-4). Let j be (-5)\/(-2)*1\/(-5). Sort r, j, 3 in decreasing order.\nAnswer: 3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 0 in ascending order.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/((-135)\/(-45))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1 - 1) + 6. Suppose j*s - 2*s - 44 = 2*i, 4*i = s - 22. Let p be (0 - (-2)\/1) + 1. Solve -4*y + s = -5*z - 19, 2 = 2*z + p*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 4*w + 5. Let d be v(6). Let u = -51 + 170. Calculate the greatest common factor of d and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:44 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -61, 4\/3, 1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 2573655*q**2 - 7721010*q.\nAnswer: 5*q*(q - 3)*(q + 514734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 354*x**2 + 87*x - 263. What is the least common multiple of f(3) and 2388?\nAnswer: 9552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 1\/2, 2\/3, -1322\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250935*b = -250977*b - 462 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006809204 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*h**2 + 32*b**3*h + 2*b**2*h + 8*b*h**2 wrt h.\nAnswer: -2*b**3 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203.6176317 - -203.7733. Let j = 0.1556 - z. Round j to six decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 + -162. Solve -x*a - 10 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*c - 14*c - 5. Solve 5*u + c = 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z - 2. Let l be y(0). Is (15\/15)\/(l\/(-974)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 - 19*l**5\/60 - 61*l**4\/24 - 469*l**3\/2 - 2*l**2 - 544*l - 3. Find the first derivative of o(m) wrt m.\nAnswer: 3*m**2 - 38*m - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 65\/15 + (-5)\/15 - 9. Which is the third biggest value? (a) u (b) 1\/6 (c) -18 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455323 (base 7) to base 6.\nAnswer: 1423304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(12 + -17 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90558 and 286?\nAnswer: 996138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r**2 - r + 5. Suppose -3*k = -k. Let a be x(k). Suppose 0*l + 74 = 2*u - 4*l, -3*u + 133 = a*l. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*m = 2*m - 100, 3*u + 4*m - 158 = 0. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, m: 1, w: 2, b: 1, q: 2, k: 3}. Give prob of picking 1 w and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28031398 is divided by 716.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:45 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w**2 - 26*w - 5. Let a be j(6). Let x = a + -96. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b56 + 2?\nAnswer: -4b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181\/1158 - 2\/193. Which is the nearest to z? (a) 5 (b) -2\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*t = -336, -v - t - 112 = -6*t. Let k = 114 + v. Solve -k*c = 2*s + 4, -5*s + 5*c + 0*c = 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1296\nAnswer: 1\/1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 10*r - 2 - 5*r to the form t*r + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 20*h - 105.\nAnswer: 5*(h - 7)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 97*h**4\/4 - 7*h**3\/3 - h**2\/2 - 5*h - 1. Let d be c(-5). What is d rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(2) - (-1*sqrt(242))**2) + sqrt(2) + 3*sqrt(8) + -1.\nAnswer: -243 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.6 (b) -290 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875 = 5*i + 4*d, 45 + 517 = 3*i - 5*d. Let h = 14622 + -14608. Calculate the remainder when i is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2215366159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v**3 + 40*v**2 - 5\/4*v**4 + 23 + 0*v. Factor f(l).\nAnswer: -5*l*(l - 4)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {f: 5, g: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(576) + sqrt(16) + sqrt(16))\/((sqrt(80)*4)\/sqrt(10) - sqrt(8)).\nAnswer: 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47223596?\nAnswer: 2, 7, 109, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 13*q**2 + 16*q - 46. Let d be n(-15). Let p = 179 - d. Solve -4*g = 4*h - 20, 3*g + h - 4*h + p = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 1. Let l(v) = 7*v + 2. Let z(q) = -6*l(q) - 11*r(q). Suppose -4*j - 1 - 5 = 3*o, -j + 8 = -4*o. Determine z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19763409 to the power of 1\/2, to the nearest integer?\nAnswer: 4446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - (1 + -13 + 7 + 14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - (64 + 175 + -88)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s**5 - 180*s**4 + 732*s**3 - 1276*s**2 + 852*s - 144 = 0.\nAnswer: 1\/4, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 110, 214, 360, 548?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 261. Is g a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*q**3 - 4426*q + 1474*q + 1480*q + 1474*q - 119*q**4 to the form l*q**3 + x*q**2 + n*q + z + f*q**4 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 55622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -685.\nAnswer: 684.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Let a(g) = 2*g - 4. Let p be a(u). What is the tens digit of ((-85)\/10)\/((-1)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -8452\nAnswer: -3\/8452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 13213142.\nAnswer: 13213138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4858.92058 + -4859. Let u = 0.08 + v. What is u rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:21 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 100*a**3 - 10*a**3 - 6 - 2*a**2 + 4 + 3*a. Let y be w(1). List the prime factors of 4 + (y - (0 - -4)).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(4 + 140*w + 2 - 6) to g*w + k and give g.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21236079 plus 1?\nAnswer: -21236078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(50) + 3 + sqrt(50)))**2.\nAnswer: 180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from xjiwjbwss?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (53 + -12 + -68).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/35 and 13\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 12*v**2 + 36*v + 32.\nAnswer: (v + 2)**2*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -31. Let b = -26 + l. Let i be 0 - b\/(3 + -1). Is i < 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44 - 14)*1*(-1)\/2. Let q = 30 + i. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {w: 2, o: 1, n: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 64 + 716. Let d = 655\/4 - m. Let h = -0.99 - 0.01. Which is the nearest to -1\/4? (a) h (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + j + 2 - 83*j**2 + 85*j**3 + j + 2*j**4 + 81*j**2 to g*j**2 + m*j**3 + p + o*j + k*j**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79509\/22 + -3613. Calculate the common denominator of b and (1\/(-140))\/(((-1825)\/7050)\/73).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310*m**2 - 2*m - 6117 wrt m.\nAnswer: -620*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 3. Let r(g) = -5*g - 2. Let z be r(v). Solve 2*s = 8 - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1736)\/(-4960) + 3\/(-4). Is 42\/65 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(143) + sqrt(143))*-2 + sqrt(143))*4)\/(-4*(sqrt(396) + sqrt(396)*-2)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 15 = -32*o + 490 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.3 - 7.9. Let h = r + -9. Let d = h + 5.6. Which is the third biggest value? (a) d (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4750806\/(-99))\/((-16)\/(-6)). Let q = -17993 - o. Calculate the common denominator of (-340)\/50 + (-1515)\/(-404) and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -59) + -342 + 316?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/612 and 16\/20 - (-1288)\/(-20160).\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2156)*1*6)\/(-1*((sqrt(196)*1 - sqrt(196))*-5 + sqrt(196))).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8671 times 18?\nAnswer: -156078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v**2\/2 + 445623*v - 127320 = 0.\nAnswer: 2\/7, 42440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/30 and 10\/2638623.\nAnswer: 26386230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1)*8\/(-10))\/(23\/(23782\/(-88)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46841\/11 - -4263. Let f = 600495141\/3608 - 1830750\/11. Let h = f - -14\/41. Find the common denominator of j and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 413*f - 19. Let i(w) = -1 - 17 - 4 - 2*w - 4. Let s be i(-16). Is a(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/15*1\/((-2)\/(-9)). Suppose 0 = -3*d - 12, 5*d + 2127 = 3*f + 2*d. Calculate the greatest common factor of f and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 36 = 4*x, -x + 2*x = -3. Suppose -b = 2 - y. Solve 0 = s + 2*k + 3, 3*k - 1 = b*s - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 1 + 35\/6*j**3 + 1\/6*j**4 + 0*j**2 + 92*j + 103\/10*j**5. What is the third derivative of x(i) wrt i?\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 193320311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10812)\/(-1860) + (-5)\/1. Let w = o + 17863\/1860. What is the common denominator of w and -55\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/3000 and -89\/31462800?\nAnswer: 157314000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1688 + -1685. Solve r*z - 74 = -71 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.2 + -22. Let n be (0 - -2)*75\/300. What is the closest to k in -2, -1\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5805*s**2 - 15*s - 28. Let h(b) = 5810*b**2 - 17*b - 30. Let m(c) = -4*h(c) + 5*u(c). Find the second derivative of m(a) wrt a.\nAnswer: 11570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443 or 119?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 2495\/32. Let f = -484 - -480. What is the smallest value in 0.03, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let t be o(-7). Is (-27084)\/(-28) - (-2)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846903.\nAnswer: 1846903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t. Let g(a) = -a + 1. Suppose 4 + 2 = o - 5*d, -5*o + 4*d = -9. Let u(p) = o*g(p) - m(p). Determine u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720))**2*6 + (-3*(sqrt(720) + 2))**2.\nAnswer: 144*sqrt(5) + 10860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4312 - 206667.36.\nAnswer: -202355.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 403*j - 1624 - 91*j + 1627 - 529*j**2 wrt j.\nAnswer: -1058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Let t(a) = -29*a**2 + 65*a - 9. Let h be t(2). Solve 3*k + 6*s - i*s + 3 = 0, -h = -4*k - s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7573 <= 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 + 25*j - 4. Let o(i) = 5*i**2 - 13*i + 2. Let z(w) = -6*k(w) - 11*o(w). Suppose 3*c - c + 10 = 0. What are the prime factors of z(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 8:19 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-7 - (-2 - (6 + -7))) + 15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12677987 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -52?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2963*w - 19*w**3 - 2963*w.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 100*p - 1. Let z be v(1). Let m be 11\/(z\/6)*6*-1. Let h = -51 - -51.1. Which is the closest to h? (a) -8 (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -3.1, 1\/3, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:25 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*(-45 - (-3388)\/84). Let t = -20 + 48. What is the greatest common factor of p and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:28 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 105183875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*p + 5*y, -3*y + 6 = -p - 11. Let w(d) = 13*d + 1. Let m(i) = -9*i - 1. Determine p*w(q) - 7*m(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 2 (b) 0.1 (c) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*c*g**3 + 2*c*g**2*z**3 - 2*c*g**2 - 15*c*z**3 + 16*g**3*z**3 + 7*g**2*z**3 wrt g?\nAnswer: 498*c + 96*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118330706?\nAnswer: 2, 13, 4551181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -72*u + 89. What is a(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyyfffmddymfpfdmmf. What is prob of sequence ffym?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 29 = l, 4*j - j - 4*l + 46 = 0. Let i = -25 + 33. Let n(h) = -h**2 + 8*h - 11. Let c be n(i). Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/35 - ((-566)\/210 + 3).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 - 19*v**2 - 4*v - 5. Calculate o(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 22, 29, 40?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 313? (a) -3 (b) 3 (c) 1.8 (d) -3\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:51 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -87*d**2 - 4127*d - 1855. What is s(-47)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4103 + -14123?\nAnswer: -23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 6. Let k(g) = g - 10. Let s be k(0). Let l = s + 10. Calculate i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 356670270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 8) to base 14\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 + -153. Suppose -d = -h + 1 - l, -2*d + 14 = 2*h. Solve a + 1 = -5*t - 26, 24 = -h*a - 4*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/(-80)*(-1 - 4). Solve 0 = -3*r - b + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/11 + 38*o**4\/11 - 190*o**3\/11 - 102*o**2\/11 + 828*o\/11 = 0. Calculate o.\nAnswer: -23, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*x + 180, -7*r - 300 = -2*r - x. Let u = 415 - 131. Find the common denominator of -4 and u\/r*6\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + k = 17, -k - 3 = -5. Suppose -j + y*d = d - 10, 0 = 3*d + 12. Let t(g) = j*g + 3*g + g + 0*g. Let o(f) = -5*f. Determine o(t(h)).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2 + 3)*3. Let w(u) = u + 6. Let p be w(i). Suppose -p*z + 3 = -12. Solve z*m - 1 = -26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4463*a*b**2*k*r + 15*a*b**2*k + 119*a*k*r - 2*a*r + b*k*r + 2 wrt b?\nAnswer: -8926*a*b*k*r + 30*a*b*k + k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1953 = 591*z + 60*z. Which is smaller: 110\/27 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-2)\/4)\/((-15)\/12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 8*r - 5. Suppose 3*j + 11*s - 16*s - 25 = 0, s = 3*j - 29. What is the smallest common multiple of j and h(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - ((-1 - 14) + 33)) + 17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33063, -132006, -296851, -527592, -824223?\nAnswer: -1186738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = -2*b, -4*b = x - 320 + 305. Solve 5*k + 11 - 1 = -4*a, -b*a - 3*k + 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -103713, -103546, -103379, -103212, -103045?\n\"Answer: 167*q - 103880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126447580 by -12644758.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -11. Suppose 3 = 3*p + b. What is the second smallest value in 0.4, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {b: 2, t: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -240?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 4) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 13, z: 1, k: 2}. Give prob of sequence zsv.\nAnswer: 13\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/2))\/c)\/(c\/(c*c*c**(-1\/31)*c)))**(2\/37) assuming c is positive.\nAnswer: c**(153\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -6*b - 8. Suppose -5*y - 1 = t, b*y + 16*t - 18*t - 2 = 0. Which is greater: 2\/291 or y?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(119) - 6*sqrt(119)*2)\/(-3*sqrt(28)\/sqrt(4) - sqrt(7)) + (sqrt(119) - 2*sqrt(119)*2)\/(sqrt(28)\/sqrt(4)*2)).\nAnswer: -25*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**3. Let t = 0 + -1. Calculate the lowest common multiple of (-168)\/(-17) + 6 + (-1000)\/170 and d(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/19*((-1)\/((-55)\/100) - 2).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 32 - (-19 + -7 + 9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*i - 7. Suppose 4*s = 2*s + i. Find the third derivative of -24*c**s + 27*c**6 - 445*c - 7*c**2 + 445*c wrt c.\nAnswer: 3240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(sqrt(32)\/sqrt(8) - sqrt(4) - sqrt(4)) - sqrt(13)) + sqrt(13) + 1)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222 - 100101010?\nAnswer: -100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(363)*-4)**2 + 5 + -1 + sqrt(3) + -2.\nAnswer: sqrt(3) + 5810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:17 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17653 - -32220. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d - 3 = -4*i, -2*i + 1 = -d. Sort i, 1, -43, -1 in increasing order.\nAnswer: -43, -1, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 15*v**2 + 16*v - 23. Let t be (3 - 5)*(-6 + -1). Calculate the least common multiple of x(t) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1162 - -1402. Calculate the smallest common multiple of h and 150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 1477*g\/3 - 164.\nAnswer: -(g - 492)*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 169751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 964*x + 539. Is v(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.2 - 20. What is the smallest value in -2\/13, 0.1, v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93602 + 93604. Let 1\/9*v**3 + 0 + 0*v + 8\/9*v**l = 0. Calculate v.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/47 and 32\/39?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.23 + 76.23. Let o = n - 99. What is the closest to 2\/7 in o, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + 12*w - 4. Let v be z(-6). Let b be -3*(-3 + -93)\/(-4). Let j = v + b. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9 + (-16)\/3. Let j = -1 - u. Suppose 0*m + 4*m = -12, j*n + 4*m = 38. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 2*a**3\/3 - 7*a**2\/2 + 17*a. Let s(v) = -2*v**2. Give w(s(l)).\nAnswer: -8*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 3*w + 7*t + 11, 0 = -3*w + t - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*b - 7. Is (-54)\/b + (-6)\/(-21) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**2 + 21*x - 21*x + ((-3 + 0 + 5)*(-1 - 2 + 5) + 0 - 8 - 2 + (1 - 3 + 0)*(-27 - 19 + 6))*(-4*x - x**2 + 4*x).\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let w(c) = -c. Let m(a) = 5*w(a) - 4*z(a). Let j(b) = 5*b. Calculate j(m(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-18)\/4))\/(49\/(3528\/(-16))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -55247.\nAnswer: 8287.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drcd when four letters picked without replacement from rrdxddrrrcrrrdddd?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -21*r**3 - 35*r**2 + 51*r + 36. Give f(-3).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 10*f**2 + 19*f - 16. Let t be u(-7). Let z = 8 - 8.4. What is the smallest value in z, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509490767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -36*l**2 - 9*l + 5. Let f(m) = 18*m**2 + 5*m - 3. Give 5*f(w) + 3*z(w).\nAnswer: -18*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u + 3 - 3 + (2*u + 3 - 3)*(-1 + 0 + 3).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*n = 165*n + 8. Suppose 0 = -5*g + 3*u + 1852, n*u = 7*g - 12*g + 1832. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - k - 1 - 4, 3*l = 3*k + 15. Does 16 divide 251 + 9 + (l - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8733484 centuries in millennia?\nAnswer: 0.08733484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229 + 228. Is (-18255)\/(-10)*(-2)\/y + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217240 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1381532590*q**4 + 133377726*q**2 wrt q?\nAnswer: -33156782160*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311462?\nAnswer: 2, 155731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**3 - p. Let c be x(-1). Let z(m) = m + 10. Let i be z(c). Suppose -110 = -i*o + 45. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 7*x + 90. Suppose 0 = -14*f + 9*f + x. Solve -o - f*o - 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -1)*-1 - (20 - (-506)\/(-23))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtjj when four letters picked without replacement from jjjjjjjjjjjjt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:18 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from husuuuuusss. What is prob of sequence sus?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2 + 2. Let h = 6 - k. Suppose h + 8 = v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 26*g + 146. Let j be r(7). What is the common denominator of -101\/36 and 51\/2 - (-5 + j\/(-15))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 6*r)*(-1 + 1 - r**3) + (-5*r**2 + 27*r**2 - 9*r**2)*(r**2 + r**2 - 7*r**2).\nAnswer: -69*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**6\/120 - g**5\/20 + g**4\/8 - g**3\/3 - 7*g**2\/2 + 8. Let z(l) be the second derivative of b(l). Calculate z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1476*b - 44583 = 38073 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 434.3217 days?\nAnswer: 10423.7208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/24 + p**5\/6 - 65*p**4\/24 + 25*p**3\/3 + 288*p**2. What is j in v(j) = 0?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8180 (base 11) to base 7\nAnswer: 43440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 204*v**4 + 19*v**2 - 3*v + 177522 wrt v.\nAnswer: 816*v**3 + 38*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1765 or -12350\/7?\nAnswer: -1765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3657181\/25159738 - 3\/50119. What is the common denominator of g and -73\/46?\nAnswer: 11546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 2, e: 6, u: 3, l: 1, s: 4}. What is prob of picking 2 m and 1 l?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6166135 (base 9) to base 16\nAnswer: -32399c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 24, 48, 80, 120, 168, 224?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/24*20*(-2)\/20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**4 + 232*y**3 - 238*y**2 + 60*y = 0 for y.\nAnswer: -30, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/(3 + 104\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x**3 + 0*x**3)*(749*x - 1119*x + 566*x).\nAnswer: -196*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 61*b**3 - 6*b**2 - 6*b - 5. Let k be a(-4). Let m = 35884\/9 + k. Calculate the common denominator of m and 44\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 4 - 2*n**2 + 0)*(6*n + 10*n - 36*n).\nAnswer: -20*n**3 - 80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431 (base 5) to base 8.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7120741*j**2 - 3*j - 793086 wrt j?\nAnswer: 14241482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 7*x**3 + 106*x**3.\nAnswer: 113*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 20*d**2 - 2*d - 43. Is l(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -50.00000158. What is f rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111102002 + -11?\nAnswer: 111101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 divided by 91?\nAnswer: 1355\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*x + 18 + 4, 0 = 3*q + 2*x - 26. Suppose -2*f + 27 = -31. Calculate the remainder when f is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826742 is divided by 304456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3669254 is divided by 674.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 1, v: 1, c: 2}. What is prob of picking 1 f and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13514, 18468, 23416, 28358, 33294?\nAnswer: 38224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -4 + 10 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957927480.\nAnswer: 2, 3, 5, 7982729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + -1.4. Which is the fourth biggest value? (a) i (b) -5\/6 (c) -1\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 94 in increasing order.\nAnswer: -4, 1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 23*j = -4*w - 4, 2*j - 4*w = -4. Let p(o) = -3*o + 17. Determine p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 39*n - 124 + 239. Factor -2\/9*c**3 - 2\/9*c + n - 4\/9*c**2.\nAnswer: -2*c*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*m + 7 = -0*p, -3*m + 15 = -3*p. Let t be (23 - -1)*(-4)\/p. Calculate the remainder when (-2)\/6 + 460\/t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - 3) + (15 - 27) + 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.13, 0, 0.11, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2868772, -2868775, -2868780, -2868787, -2868796, -2868807?\nAnswer: -2868820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*h + v, -3*h - 2*h - v + 67 = 0. Suppose -4*f + 3*b + 6 = 0, 0 = 4*f - 4*b - 5 + 1. Suppose -h = f*c - 1. Sort 1, c, 4 in increasing order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - (-7 + 17) - (-69461 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**6\/5 + 3*g**2 - 8*g + 2. Let u(f) be the first derivative of o(f). Differentiate u(z) wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 - 336640*m**3\/3 - 6295878684*m**2 - 353230273341392*m\/3 + 353249161314086\/3.\nAnswer: -2*(m - 1)*(m + 56107)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 13*s**8\/336 - 17*s**4\/24 + 13*s**2. Find the second derivative of i(q) wrt q.\nAnswer: 260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -13*u - 17. Let l(q) = -3*q - 4. Let h = -445 - -454. What is h*l(i) - 2*f(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -54, -52, -52, -54?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1171 + 1170. Which is the nearest to t? (a) 0 (b) -11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/130 and 113\/3990.\nAnswer: 51870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 62 - 80 - 5*s - 164. What is the units digit of i(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, -1, -7 in ascending order.\nAnswer: -7, -1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3621\nAnswer: -5\/3621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*y - 132, -10*s - 50 = -2*y - 8*s. Calculate the greatest common factor of 182 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 6*k**3 - 4*k**2 + 61*k**2 - 57*k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 67966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from kekrrtrkvverek.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(84)\/sqrt(7)) - (-1 + sqrt(2)*2))*2)**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92674*b**3*i**3 + 2*b**2*i**3 - 388*b**2*i**2 + 94*b*i**3 wrt b.\nAnswer: -556044*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452161?\nAnswer: 452161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2406268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -2335652?\nAnswer: -2335652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15f3 + 16?\nAnswer: -15dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30223203 + -30?\nAnswer: 30223113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/4 + 2*g**2. Let n(p) = 2*p - 8. Let r(y) = 2. Let s(w) = -n(w) - 4*r(w). Determine d(s(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(88)*-3)\/(sqrt(40)\/sqrt(180)*1).\nAnswer: -450*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - z**2 - 8*z**3 - 1938*z + 1943*z - 7*z**3.\nAnswer: -15*z**3 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6950550 and 8100.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*b = -42 - 72 - 107 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*t - 4*n, 6*n - 22 = -2*t + 2*n. Let l be t*11\/(-13) + 1. Let w be (-2)\/(-6) + (-24)\/(-9). What is the closest to -2 in w, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i, -110*i - 6 = 2*u - 111*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 308?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (-249)\/15 - -2*(-2)\/(-10). What is the greatest common divisor of t and 8216?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 38 + 12 - 62\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-66))\/(2\/2*15\/(-9))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 6677?\nAnswer: 6673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/6 - 3*h**2\/2 + h. Suppose 2*s + 32 + 20 = 0. Let i = s + 23. Let v(z) = 3*z**2 - 5. Give i*v(q) + 5*c(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113085481\/27860 - 3082\/1393. Let u = w - 4053. What is the common denominator of u and ((-15)\/(-6))\/(2\/(-2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 16\/24 - 1\/(-3)*109.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2011.008438 to the nearest 10.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n - 8. Let b = 178 - 168. Let f(p) = 3*p - 5 + 10 + b - 17. Give 9*f(c) - 2*r(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**2 + 187750*q + 44758 wrt q?\nAnswer: 2*q + 187750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8609 + -8537. What is the highest common factor of 22 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -141*h - 1\/3*h**4 - 10*h**2 - 4*h**3 + 0. Factor w(z).\nAnswer: -4*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3\/4, -194, 5, -0.06, 0 in descending order.\nAnswer: 7, 5, 0, -0.06, -3\/4, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose 0 = -5*v + k + 4, -4*v - 5*k = -2*v - 7. Let z(q) = 0*q**3 - q**3 - v - 4*q**j + 4*q - 2. Calculate z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*h + 24, -46 = 4*d - h - 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911689 to the power of 1\/2, to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 96, 146, 196, 246?\n\"Answer: 50*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 2742025 - 14196325. What is s rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 5*f + 1. Let g(d) = d**2 + 20*d - 16. Let h be g(-21). Suppose 19*c + 90 = -h. Calculate s(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 512518?\nAnswer: 3587626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -514\/189 or -3?\nAnswer: -514\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/64, -3, -0.5 in decreasing order.\nAnswer: 1\/64, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2626314 - -46\nAnswer: -2626268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149\/595 + -3\/85. Which is the nearest to -3? (a) -3 (b) 3 (c) 1.6 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2809 + 5342 + 2502 + 2088)*(-3*w**3 + w**3 - 3*w**2 + 2*w**2) as z*w**3 + n*w**2 + u + o*w and give n.\nAnswer: -12741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -63. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23349, 23354, 23361, 23370, 23381?\nAnswer: 23394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -82*m**3 - 3*m**2 - 14*m - 8. Determine q(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (591 - 8*h**2 + 623 - 1222)*((2 - 5 - 2)*(h - 2*h + 0*h) - 2*h - 3*h + 3*h)*(2*h - 4*h + 4*h).\nAnswer: -48*h**4 - 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18980472 and 1176.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (-2 + sqrt(720)))*1 + sqrt(720) + sqrt(720))**2 + 3*sqrt(25)\/sqrt(5)*-6.\nAnswer: 78*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 610 and 180865?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 6, -4, -0.09, 4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/7 - (-6 - 14959) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-80)\/(-114)))\/(2*7\/280*-4).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -19*g + 6*g. Let r be (-26)\/g + 2\/(-12). Suppose 340 = 8*m + r*m. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 8) in base 13?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1292686, 1292751, 1292860, 1293013, 1293210?\n\"Answer: 22*w**2 - w + 1292665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-3 + -2 + 6). Let s be (o\/(-4))\/((-2)\/(-248)). Let y = s - 40. What is the remainder when 63 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-702)\/(-54)*304\/(-228)*(-6)\/(-40)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 2. Let l be k(-6). Let g be (-2)\/(-5) - 0 - (-2)\/(-5). Let v be g + (l - (2 + 0)). Solve 0 = 5*q - 2*y + 14, 4*y = -10 - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*p - 21, 3*q = -p + 6 - 5. Let t be (q\/(-6))\/(1\/(-3)). Let r(l) = l**2 + l - t - 5*l + 2. What is r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*d**2 - 560*d**2 + 777*d**2.\nAnswer: 896*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 + o + 1. Let q be v(-1). Suppose -4*r = -2*u + 20, -2*r = q*u - 0 + 2. Let s(z) = z**2 + 2*z - 3. What is s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.4 - -1.4. Let y = -7.00000072 - n. Round y to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84*a**2*h**3 + 25*a**2*h + 32*h**3 - 98*h wrt a?\nAnswer: -168*a*h**3 + 50*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**8\/336 - d**4\/8 + 2*d**2 + 2. Let p(g) be the second derivative of j(g). What is the second derivative of p(q) wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148947 + 148947. Let n = 2 - 0. Solve i = n*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2 + (-22)\/4. Suppose -5*z + 37 - 17 = 0, 0 = -3*a + z - 1375. Let i = a - -450. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (85\/306)\/(5\/399) and -56\/9729.\nAnswer: 19458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 4*u + 3. Let a be i(4). Let t = a + -44. Let s be (-1)\/(-6) - t\/(-6). Let v(c) = c + 4. Calculate v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*((-30)\/(-5))\/(-2)*-3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*x + 1065 - 4215 = 0, 2*x + 1566 = 2*c. Let r = c + -781. Solve 0 = r*y - 35 + 39 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5090, -63, 3, 6, -1 in decreasing order.\nAnswer: 5090, 6, 3, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -808192 by -4.\nAnswer: 202048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 + p**2 + 8*p**2)*(-1 - 2*p + 2*p - 2*p) - 3*p**3 + 3*p - 3*p.\nAnswer: -37*p**3 - 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44993400*j**2 + j - 274 + 44993367*j**2 + 274.\nAnswer: -33*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 + 3*x**4 - 18*x**3 - 22*x**2 + 81*x - 45 = 0. Calculate x.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1 - 21 = -4*o, 4*o + 3*s - 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n - 25 = 3*o - 26*n, o - 13 = 4*n. Which is the fourth smallest value? (a) -0.013 (b) o (c) -0.1 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2)*(-3 + 2). Let j = 11639 - 151305\/13. What is the second smallest value in -1\/7, c, 0.2, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.2 (b) 4\/7 (c) -1\/3 (d) 459\/298 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 7*v + 10. Suppose 1100 = s - k, -5*s = v*k + 2*k - 5545. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 8*c - 7. Let q be y(6). Let a = -4 - q. Suppose -r - 4*g + 20 = r, -3*g = -2*r + a. 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: Put -21, -2\/7, 2, 0.5 in increasing order.\nAnswer: -21, -2\/7, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44903 minus 8901?\nAnswer: 36002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -5 - -3) + (14 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 409?\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**2 + 1. Let r(k) = 9*k - 24. Suppose 4*a - 12 = 8. Let b(q) = -2*q + 5. Let d(y) = a*r(y) + 24*b(y). What is d(c(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136) + sqrt(136) + sqrt(136)*-1 + sqrt(136)) - (-5*(sqrt(136) - sqrt(136)*1) + sqrt(136)))\/(sqrt(56)\/(sqrt(7) - -1*sqrt(343))).\nAnswer: 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -58 + 169. Let b = v + 55. Calculate the remainder when 70 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53823, 53813, 53803, 53793, 53783?\n\"Answer: -10*y + 53833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {j: 4, f: 3, a: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:14 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 0*p**3 - 1\/9*p**6 + 3 + 0*p + 0*p**2 - 4\/15*p**5 - 1\/6*p**4. Find m, given that u(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26\/3 - -9. Suppose 339*i = 335*i + 3*x - 18, -i + 5*x = 13. Which is the smallest value? (a) 0.5 (b) i (c) -1\/25 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 854959190769 + 4\nAnswer: 854959190773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 3:53 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358870 is divided by 54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/5 (c) -0.5 (d) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1936 = -4*g. What is g rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59339537.\nAnswer: 17, 857, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6\/(-2)*(-19684)\/228 and 407.\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/28908 and -29\/44.\nAnswer: 28908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvwwwwvwwwvwbbwwwwb. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -55?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {m: 1, w: 1, b: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5017, -10025, -15033, -20041, -25049?\nAnswer: -30057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 294520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = 4*o + 25. Let c be 36\/o - 1103*(-24)\/21. Suppose -c = -10*i - 5*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) - (-6*(sqrt(147) + -3 - sqrt(147)))**2 - (sqrt(147) - sqrt(147)*-2 - sqrt(147))*-4.\nAnswer: -324 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -756.54 less than or equal to 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 44, -3, 877 in increasing order.\nAnswer: -3, 44, 94, 877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.7 - -8. Let g = 4 + -8. Let f be (-1)\/(-2) - 8\/16 - g. What is the third smallest value in t, -1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07687078 to three dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from kfmoifw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0217272 and 0.4?\nAnswer: 0.00869088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8902 - -82?\nAnswer: 8984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -614516 + 5?\nAnswer: -614511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 25 + -15 + -2 - -20 - 141.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -5) + (2 - 3). Sort -4, -1\/2, o in ascending order.\nAnswer: -4, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 19*y - 66. What is h(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 810 - 9*c**2 - 1592 + 807 + c**3. Is h(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17370*j + 890 = -16855*j - 11985 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 54. Let u = -58 + 60. What is the fourth biggest value in -2, u, -3\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.313 * -0.093.\nAnswer: -0.029109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 18. Calculate d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + 3*f**2 - 4*f - 4. Suppose 5*x + 2*w = -38, -w - 3*w = -3*x - 2. Determine p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1)\/sqrt(12)*2 + sqrt(110)\/((3*sqrt(80) - sqrt(80))\/sqrt(8)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 673, 1094, 1535, 2002, 2501, 3038, 3619?\nAnswer: 4250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/109 in 4, -150\/1411, 0.3?\nAnswer: -150\/1411","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5500.085t to micrograms.\nAnswer: 5500085000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-225))\/(28\/(19600\/35))\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:00 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4056 and 26702?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440253353 (base 6) to base 14.\nAnswer: -1088b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(55)*-2*-6)\/sqrt(5))**2 + -2*3*sqrt(1331).\nAnswer: -66*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 0 + 15*f**2 - f - 3 + 3. Let w(n) be the second derivative of -n**4\/12 + 223*n. Determine x(w(l)).\nAnswer: 15*l**4 + l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:17 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/34, -12, 0.5, 0, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 - 2*p + 2. What is the lowest common multiple of 16 and r(-6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5768090.\nAnswer: 2\/2884045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6010*y - 14363 = 66454 + 33373 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqlqlrxhvvvvrl. What is prob of sequence lh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 363, 608, 863, 1134, 1427, 1748, 2103?\n\"Answer: f**3 - f**2 + 241*f + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/(-1 - -3)). Let y = v + -5\/3. Let i = 4.3 - 3.9. Which is the nearest to 1\/4? (a) y (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36145 - 3?\nAnswer: -36151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) + (-95)\/(-20). Suppose 3*t - p*u - 47 = -u, 17 = t - u. Solve -5*y + 4*f = -t, 0*y - 5*y + f + 24 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 - 15*v - 2. Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 42, 18, 29, 7, -1 in increasing order.\nAnswer: -1, 3, 7, 18, 29, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 5, q: 6, a: 2, m: 5, o: 1}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 1, x: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 - 3 = 0. Let x(a) = -39*a + 3 - 87*a - h. Let l be x(-1). What is the highest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3520 and 98560?\nAnswer: 98560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + d + 3*d)*(-1 - 8 + 0).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 38. Let q be a\/(-1 + 4) - -145. Suppose -x + q = 3*f, 3*f = 4*x + x + 149. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -4*a. What is the remainder when 166 is divided by 10\/a*840\/(-50)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let l(c) be the second derivative of 25*c**3\/6 - 24*c. Determine -30*j(a) - l(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 13*o - 7. Let m be j(-9). Is m greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (21 + -32 - -4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2, 40233?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001001111 (base 2) in base 15?\nAnswer: 1c9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2877780421 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6582561?\nAnswer: 3, 2194187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsllrxxfllvlv. Give prob of picking 2 l and 1 r.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 + 99. Suppose -71 = -4*z - k, -2*z - i*k + 41 = -16*k. Solve -4*b - 2 = -z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -31285?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2331584 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18930 and -0.3371.\nAnswer: -6381.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23981373473 and -8.\nAnswer: -23981373481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 565*h**2 - 8479*h + 52. Determine m(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n**3 - 3*n + 5. Let k(u) = -31*u**3 - 7*u + 11. Determine 9*i(l) - 4*k(l).\nAnswer: -20*l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - 3) + 7 + 54 + -39?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + 0*v**2 + 88 - 22 + 121 - 2*v**2 to the form c*v + o*v**2 + x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 786 = 134. Let p = j - -218. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*g + 169*g + 1728 = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28100 (b) -11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i + 1. Calculate n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 13*u + 5. Let b(m) = 1518 + 5*m**2 - 3044 - 40*m + 1512 + m**2. Give 3*b(j) + 8*f(j).\nAnswer: 2*j**2 - 16*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*f**2 + 4*f + 9 = 0. Calculate f.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6) - (-5)\/150*790) + -10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256057141?\nAnswer: 256057141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlywy. What is prob of sequence wly?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 14*g**2 + 27*g + 192. What is j(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13360 - -13383. Calculate the lowest common multiple of r and 419.\nAnswer: 9637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/180 and -47\/396.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1180852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3904 + 21778.06.\nAnswer: 21779.4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d. Let s(c) = 5*c + 1. Let v be s(1). Let w = v - d. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793)*-1*-2 - (sqrt(2793) + (sqrt(2793) + sqrt(2793)*-1)*-5))\/((-5*sqrt(120)\/sqrt(5))\/((-2*sqrt(88) + sqrt(88))\/sqrt(11))).\nAnswer: 7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1374529, -1374528, -1374527, -1374526, -1374525?\nAnswer: -1374524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*x + 620 = -287, 0 = a + 3*x - 921. What are the prime factors of a?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 4*f**2 + 2*f. Suppose q + 0*q = -4*n - 14, 2*q - 3*n = 5. What is o(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 8. Let k(m) = m**3 - 11*m**2 - 25*m - 11. Calculate the lowest common multiple of f and k(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + j + 6. Let w be p(-2). Solve 19*y = w*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/(2\/(-3)). Let r be 1\/(-2)*v*0. Suppose 0*y + 2*y - 6 = r. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 177*o - 1058\/3.\nAnswer: -(o - 529)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 5140287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*w = -5*h + 1795*w - 44, -1505 = 188*h + w for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 3*i + 5. Let s be u(-1). Sort -5, s, -1.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + g**2. Let b be ((-6)\/4)\/((-9)\/12). Give p(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 14 = -2. Let c be 15\/22 - t\/(-32). Let n = 26 + -134\/5. What is the biggest value in n, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 208*a**2 - 108*a + 110. What is the remainder when k(1) is divided by 108?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-595)\/105)\/((-1)\/24). Let d be -17*(-1)\/(0 + 1). What is the highest common divisor of d and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1435 (base 8) to base 2.\nAnswer: 1100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7835457 to the nearest integer?\nAnswer: 2799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.2 + 62. Let u = 11 + d. Let o = 1.1 - u. Sort 1\/4, -0.2, o in decreasing order.\nAnswer: o, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*(-21)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 93 = -110*s - 77. Sort s, -6, -31 in descending order.\nAnswer: s, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 19*s**2 + 2*s**4 - 44 + 6 + 5*s**4 + 2*s**4. What is the second derivative of t(x) wrt x?\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1519 (base 10) to base 13\nAnswer: 8cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*r + 5*r + 9, -3*h = 12. Let d(p) = -p**2 + 6*p - 4. Calculate d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16 - 96\/256.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1654 - 1?\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -889, -1783, -2677, -3571, -4465, -5359?\n\"Answer: -894*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -37451032 (base 8) to base 3\nAnswer: -120120121001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287 + -286.9268. Let m = u - 0.07. Round m to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -998 - -631. Let w = 1069 + -1316. Let o = w - v. Calculate the greatest common factor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -102*w - 129. Let x(y) = -34*y - 46. Determine -4*h(n) + 11*x(n).\nAnswer: 34*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*p - 76 = 0, 3*p - 359 = -4*h - 0*p. Let u(a) = 82*a - 5. Let n be u(4). Suppose -n = -3*v + 4*r, -5*r + 28 = v - h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.043, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4856 divided by 1214\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570*u + 575*u + 154*u**2 - 1145*u + 3*u**2.\nAnswer: 157*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1266 - -83. List the prime factors of p.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*a**5 + 2*a**4*b + 28*a**3*b - 9*a + 141*b wrt a?\nAnswer: 760*a**3 + 24*a**2*b + 168*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6327, -12653, -18979, -25305?\nAnswer: -31631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2372\/27 - 566980\/6453. Find the common denominator of -25\/21 and k.\nAnswer: 5019","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + w**5 + (4*w**3 - w**2 + w**2)*(-2*w**2 + 2*w**2 + 2*w**2) - 2123*w**5 + 933*w**5 + 1039*w**5.\nAnswer: -142*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 683*y**3 + 8*y**2 - 148*y**3.\nAnswer: 535*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -105*p**3 - 120*p**2 + 120. Let l(h) = h**3 + h**2 - 1. Give 600*l(d) + 5*t(d).\nAnswer: 75*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 506 and 15686?\nAnswer: 15686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1242808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3 + 2298*z**2 - 637996*z - 1285200 = 0.\nAnswer: -2, 476, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (4 - 8 - 13 - 11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 69*k**2 + 53*k - 952. What is the remainder when a(-68) is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 5, a: 2, i: 8, d: 1}. Give prob of sequence ffm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 444371 = -88*n. What are the prime factors of n?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31280881 is divided by 24650?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6888 - 3952. Suppose 25*l - 33*l + u = 0. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7087\/21 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1096*c**2 + 548*c + 548. Let j(l) = -3*l**2 + l + 1. Determine -548*j(b) + m(b).\nAnswer: 548*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 730424299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 69. Let z = -20 + 28. Suppose z + 0 = 4*d. Solve n*k - d = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*f - 1. Suppose 49 = f*y - 2*y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.958 + -0.9. Let l = -16.991 - -17. Let a = p + l. What is a rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 72 = 4*r - 4*i, -r + i + 18 = 0. What is the biggest value in -0.2, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*n - 128*n**2 - 58*n + 13686*n**3 - 13690*n**3.\nAnswer: -4*n*(n + 1)*(n + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -27. Solve b + 2 = -v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19952, 36900, 53848, 70796, 87744?\nAnswer: 104692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 103*j - 5*j**2 - 103*j + 1 as q*j + t + g*j**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -1\/4, 6\/17, 0, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495 + -324. Let v = s + -170.708. Let q = v - 0.36. Round q to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 730*t + 81 = 728*t, 4*d + 3*t + 136 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a**(-4\/5)\/a*a)\/a*a\/((a*a*(a**21\/a)\/a)\/a*a*a)*a*a*a*(a**10*a)**(-2\/61) assuming a is positive.\nAnswer: a**(-5844\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(304)*-2 - sqrt(304))*1 + sqrt(304) + sqrt(304)*-2*-4 - (-3 + (3 + (sqrt(304) - sqrt(304)*-2) + sqrt(304) - sqrt(304))))**2.\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 9*b + 18. Let c be p(-9). Find the common denominator of 1*3\/c - 1012\/96 and -18\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 38. Is 10 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8751527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o*t**2*v - 44658*o*v + 37478*t**2*v wrt t?\nAnswer: -4*o*t*v + 74956*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1220503197*m*x**2 - 692380425*x**2 with respect to m.\nAnswer: -1220503197*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 6*m**2 + 3*m + 2. Let i(f) = -6*f**3 - f**2 + 7. Let o(a) = -a**3 - 2*a**2 - a + 1. Let s(c) = i(c) - 4*o(c). What is -3*s(t) + 4*y(t)?\nAnswer: -2*t**3 + 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-260)\/(-6)*690\/1150.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -865193 (base 12) in base 9?\nAnswer: -3886473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - 2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r - 5*m + 15, -r - 5*m + 15 = 0. Suppose z - 17 + 0 = r. Let x(g) = -6*g - 41. Let f be x(-10). Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2*j**3 + j**2)*(2 - 6 + 0)*(-194*j + 56*j - 62*j).\nAnswer: -1600*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + x**3 + 3 + 2*x**3 - x**3 + 0*x**3 + (x + 2*x - x)*(3*x**2 - 2*x**2 - 3*x**2) + 4*x**3 + x**3 - 4*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 8147873.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 736, 169 in decreasing order.\nAnswer: 736, 169, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 + 125. Suppose -143 = -p*o - 113. Solve -5 = -3*d - 5*c, -o + 2 = -2*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 6591.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 155*p + 6. Let i(f) = 308*f + 14. Give -2*i(l) + 5*j(l).\nAnswer: 159*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**6 - 29280*g**3 - 93*g**2 - 518*g + 1 wrt g?\nAnswer: 600*g**3 - 175680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -955453\nAnswer: 28\/955453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -4*p - 3\/2*p**2 + 9. Let c(j) = -4*j - 5. Calculate -2*c(t) + 3*z(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -133*s + 3*s**2 + 134*s - s**2 + 6*s**3. Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 2186909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 16 + i**4 + 3*i**3 - 5*i**3 + i**2 + 2*i**3 + 2*i - 26 to c + d*i**3 + s*i + g*i**4 + u*i**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 28 = -20*q. Suppose -4*h = 2*p - 82, -4*h + 32 = -4*p + 196. Suppose p = 5*k - 9. What is the greatest common divisor of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 331 + -313. Let z = 38 - 14. What is the smallest common multiple of z and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16714359.\nAnswer: 3, 1857151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*f + 47366, 3*a - 2515*f + 2510*f = 35500. Calculate the greatest common divisor of a and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2430 divided by -1215\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13038?\nAnswer: 2, 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2050 (base 8) in base 10?\nAnswer: -1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 15*u + 9. Determine d(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**2 - 17*z - 87. Is m(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*10\/3. Let y(b) = 16*b**2 + 6*b. Let x(u) = u**2 + u. Let f(d) = c*x(d) - y(d). Determine f(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184917749 - -174082236. Suppose 3*c = 5*z - l, 3*c - 71800010 = -z + c. What is z rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/11))\/r)\/r)**16*r**10\/(r*r**6\/r) assuming r is positive.\nAnswer: r**(-164\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose 3*h - 2*m - 24 = z*h, 4*m = 4*h - 92. List the prime factors of 196\/10 + h\/55.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/21 - (48\/(-21) + 0). Let d be -2*z\/(-8)*(-20)\/(-2). Let h(k) = k**2 + 4*k + 1. Let j be h(-3). Put 1, -1, j, d in descending order.\nAnswer: d, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/1*(-87)\/(-261)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 2*y**2 - 1. Let c be j(1). Let b = 2 - c. Let a = 5 - -5. What is the lowest common multiple of a and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d - 6. Let l(x) = x**2 + 20*x + 10. Let z(v) = -5*g(v) - 3*l(v). Let h(s) = -s. Determine h(z(n)).\nAnswer: 3*n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897867534?\nAnswer: 2, 1448933767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16 + 138*t**2 - 2 + t - 21*t**2. Is d(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 4*q - 3, s + 6*q - q + 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97407 is divided by 13817?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.11. Suppose -3 - 21 = -6*m. Suppose -4*w + 31 = -5*d, m*w - w + 3 = -5*d. Which is the third smallest value? (a) d (b) 2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 136) + (1 - (0 + 1 - 3)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*f**2 - 217*f**2 - 248*f**2.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2*a**3\/3 + 2*a**2 - 4. Let r be z(-3). Solve 4*i - 5*d - 10 = -i, r = 4*i - 3*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2027.701g to milligrams.\nAnswer: 2027701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103807064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 186*k**3 + 3*k**2 + 24*k - 82. Is z(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/4 - 3*q**4\/4 - 3*q**3\/4 + 11*q**2\/4 - 3*q\/2.\nAnswer: q*(q - 3)*(q - 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-259)\/(-4) + -1)\/((-12)\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 9) + (-2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 3. Let k(w) = w - 1. Let f(l) = 6*l - 1. Let b = 9 + -7. Let y be f(b). Let n(j) = y*k(j) + 4*x(j). Calculate n(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 12. Let v be y*1\/2*-1. Let u(q) = -q**2 - 9*q. Let g be u(v). Solve -5*j = -k - g, 0 = j - 2*k - 9 + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*x - 414, -20*x = -16*x + 5*b - 850. What is the greatest common divisor of 570 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 5.3. Let l = -0.3 - -0.2. Let v = 19 - 21. Which is the closest to 1? (a) l (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/((-30)\/(-10)) - (0 + 0). Suppose 2*l - 3 = -n*j + 2, -2 = j + l. Let i(g) = -2*g + 8. Give i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164486277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/6 + 3)*84\/8. Suppose -r - 426 = -u*c + 5*c, 1065 = 5*c - 3*r. What are the prime factors of c?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.8 + -9. Let i = f + 0.2. Let p = -133\/51 - -33\/17. Sort 2, p, i in ascending order.\nAnswer: i, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 11*t - 2. Let l be (t + -2)*(1 + -2). Which is the nearest to l? (a) -1 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyod when four letters picked without replacement from dyzzozf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*d = -9, u + d - 7 - 4 = 0. Let o(f) = -f**2 + 14*f - 45. Let v be o(u). Solve 0 = 5*p + 2*c + 10, -2*p + c - 17 + v = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 8*s**2 + 6*s - 10. Determine f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -55*l - 1601. Let q be y(-29). Let i(x) = -37*x - 1. Let p(c) = -c. Determine q*p(a) + i(a).\nAnswer: -31*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*3*((sqrt(1539) - (0 + sqrt(1539))) + 2 + 0 + 5) + -4)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 598 + -598.00498. What is k rounded to four decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -16 + 15 + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**8*u))\/(u**0\/u))\/(u*(u**(-2\/9)*u)\/u)**(-16)*((u*u**(-2))**(1\/11))**(-3\/10) assuming u is positive.\nAnswer: u**(5417\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 7*u**2 - 10*u + 13. Let y be x(8). Let h be (-1 - 0\/y) + -7 + 9. Solve -4 = 3*w - h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3561 is divided by ((-13)\/(-1) - (1 - 1))\/(270\/540)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaa. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 85573 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22370, -89566, -201556, -358340?\nAnswer: -559918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -3*x**5\/20 + 20*x**2. Let b(c) be the first derivative of c**3\/3 + 1. Give b(m(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(2470\/143) + 9\/(-15) + (-27)\/45.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13)*-3*2\/(-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 4341?\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.86 + -0.14. What is the third smallest value in 4, g, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i + 85*i + 7*i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30972 = 67*q - 46212. Let y = q - 825. List the prime factors of y.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*w - 15*w - 28*w)*(-3 - 1 + 8).\nAnswer: -68*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 - 22?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74945134 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)*t*t**(-1\/2)\/t)\/(t**1*t)**5)**(5\/7) assuming t is positive.\nAnswer: t**(-185\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31590.6 times 5?\nAnswer: -157953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726 and 69905?\nAnswer: 4613730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 2*f + 2. Let v(g) = -9*g + 21*g - 10*g**2 - 9*g - 10*g + 7. Suppose -4*b = -0*b - 20, b = -4*d + 89. Determine d*l(j) - 6*v(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 21*i**2 - 11. Give n(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*j + 18 = 0, -28 = -2*n + 5*j - 16. What is the smallest common multiple of n and 17236?\nAnswer: 51708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49152, 49153, 49164, 49185, 49216?\nAnswer: 49257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = -y. Let h be 27 + -1 + (17 - 9) + -5. Let q = h + y. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 + 5474*x**3 - 12876*x**2?\nAnswer: -24*x + 32844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21738217 - -5?\nAnswer: -21738212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2825 = 4*m - 2869 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*0.4.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4786\/87 (b) -2\/7 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/63 + (-654)\/(-812). Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17407 - -28470. What are the prime factors of w?\nAnswer: 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 26. Let d = -2.047 - 20.693. Let z = y - d. Round z to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75688131 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*d - 170, 5*d - 4*z - 190 = -5*z. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.301 - -0.177. Let m = -0.264 - w. Sort 0, m, 2, -0.3.\nAnswer: -0.3, m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 371\/42 - 1\/6*-1. Suppose -j*s - 745 = -3553. Does 39 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7680250742 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485 + 40*h - 40*h + 3*h**2.\nAnswer: 3*h**2 + 485","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.9 + 1.7. Let a = 21 + -29. Let f = b - a. Round f to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*((2*sqrt(540))\/sqrt(3) + -4).\nAnswer: -360*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 732887095 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 <= 281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:56 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**2 - 34*y**3 - 8 + y + 0*y**2 + 17*y**3 + 16*y**3. Let d be r(-8). Put 0, d, 3 in decreasing order.\nAnswer: 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-32)*116\/(-1450)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.489 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -31, -2, 522, -1 in ascending order.\nAnswer: -31, -2, -1, 0, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 16 + 16. Let r(q) = 4*q**2 - 5*q + 30. Let n be r(10). Let i = 384 - n. Solve -i + l = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2020 and -103\/80.\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -23, -113, -297, -605, -1067?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 5. Let q(a) = 609*a - 385. Let o(b) = -25*b + 16. Let h(y) = 49*o(y) + 2*q(y). Give 3*h(v) + 8*n(v).\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t - 2*t - 2*t. Let m be -1 - 1 - 18\/18. Let b(c) = 23*c**2 - 2. Let h(s) = 23*s**2 - 3. Let z(q) = m*b(q) + 2*h(q). What is z(x(p))?\nAnswer: -92*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -3*i, -3*i - 25 = i + 3*x. Let j = i + 8. Find the second derivative of -49*r**4 + 25*r + 42*r**j - 18*r**4 wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-1)\/((-4)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 6*j**2 + j + 5. Let i be o(-6). Let h(c) = 4*c**2 - c - 1. Give h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2541 divide 19847851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/200*(-2724)\/(-3178))\/((-3)\/5)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3095*-0.1.\nAnswer: -0.03095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97307*p**4 + 94298?\nAnswer: -389228*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - 159 - 7*a + 7*a + 159.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2. Let u(a) = 31*a**2 + 17*a + 39. Let z(t) = 11*t**2 + 6*t + 13. Let k(g) = 6*u(g) - 17*z(g). Give k(b(s)).\nAnswer: -4*s**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lppppppllppplplpppp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 13. Let t = 139 + -48. Calculate the highest common factor of u and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - q + 2)*(2*q**2 + 0 + 0) - 86*q**2 + 86*q**2 + 17*q**3 as v*q**3 + i + b*q + z*q**2 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 6*b**2 + 6*b. Let l(f) = -6*f**3 + 11*f**2 - 11*f. Let k be -7*((-52)\/(-28) + -1). Determine k*l(j) - 11*h(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h + 84 = 111*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 6*l**2)*(3 - 1 - 3)*(595 - 387 + 617 + 106).\nAnswer: -5586*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 154874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-2 - (13 - 7). Let u = 6920\/9309 - -43\/642. Calculate the common denominator of 0 + (-210)\/w + -3 and u.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165 or -19114\/115?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 78. Suppose 165 = 5*g + 2*x, 6*x + u = x. Suppose 0 = -3*q - 0*q + 2*z + 31, z + 40 = 5*q. What is the greatest common divisor of q and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22, -48, -74, -100?\n\"Answer: -26*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 4:02 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1382 and -89\/278.\nAnswer: 192098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3042 and 428922.\nAnswer: 428922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96471\/4 - 24118. Which is the fourth smallest value? (a) -71 (b) i (c) 5 (d) 0.3 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.148609um in millimeters?\nAnswer: 0.003148609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 + -34. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7256*v + 121*v**2 + 8878863*v**4 - 37*v**2 - 8878861*v**4 - 2*v**5 wrt v.\nAnswer: -40*v**3 + 24*v**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*-1)\/sqrt(10) - (-4 + sqrt(2) + 1))**2.\nAnswer: -12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 2*g - 7*g + (1 + 3 - 3)*(g + g - g) + g - 3*g + 4*g + (-30 + 20 + 36)*(-5*g + 4*g - g) to p*g + u and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -28402.2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Is -3 - -6 - (k - 234) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + -4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -76 - b86d?\nAnswer: -b905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2702\/9 - (-138)\/(-621)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10100?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/5)\/(201\/(-9715)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 5 (c) 3\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:04 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -5.5. What is the third biggest value in 1.2, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/391 or 0?\nAnswer: 4\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 2\/7 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 14, 154 in descending order.\nAnswer: 154, 14, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (64 + -75 - (-2 + 4 + 4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 - 3. Suppose 4*y + 40*r - 20 = 38*r, -r = -2*y + 10. What is g(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 13) to base 8.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a - 39*a - 35*a - 19*a - 6.\nAnswer: -67*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**3 - 5*t**2 - 7*t + 143. Let j(s) = 4*s**3 + 3*s**2 + 4*s - 72. Let l(c) = -3*h(c) - 5*j(c). What is the derivative of l(u) wrt u?\nAnswer: 3*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/13 - 696*r**3\/13 + 22310*r**2\/13 - 121200*r\/13 - 1252000\/13 = 0.\nAnswer: -5, 20, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45978 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-280)\/(-55) + -5 + 2196\/(-2376). Which is the fourth biggest value? (a) j (b) 6 (c) -4 (d) -2\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 20 - 31)*(2 - 4 + 4)*(1 - 1 + g).\nAnswer: -140*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 905508 and 27.\nAnswer: 2716524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 21. Let u be (m - 1)\/(1 + -6 + 4). Solve -2*d + w + 6 = u, 7 = 3*d - 2*w - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48673 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 12. Let l(d) = -4*d + 23. Calculate 7*f(x) + 4*l(x).\nAnswer: 5*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13751 * 450\nAnswer: 6187950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-63))\/2 - 749\/(-147). Let u(w) = -5*w + 12. Give u(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1051 = -2*o, -p + 1031 = 2*o + 2*p. Suppose 169 = -2*i + o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98177 is divided by 63.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 3*(sqrt(187) - 1*sqrt(187)) - (sqrt(187) - sqrt(187)*3*-4))\/(((2*sqrt(66) - sqrt(66))*-6)\/(sqrt(18)\/sqrt(3)*-1)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24680877*a**3 + 137860*a - 52.\nAnswer: -148085262*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (212\/(-6784))\/((-39)\/3432)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 12) in base 15?\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784 - 4520 = -8*x. What is the remainder when x is divided by 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63915.72 decades to months.\nAnswer: 7669886.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213216 and 71072.\nAnswer: 213216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 4, 4*t - 26 = 2*q. Let r(u) = 13*u**2 - 4*u - 13. Let v(i) be the third derivative of -i**5\/10 + i**4\/12 + i**3 - i**2. What is q*v(j) - 4*r(j)?\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -10*y**7\/21 + 3*y**4\/4 - 14*y + 20. Let c(d) be the first derivative of f(d). What is the third derivative of c(g) wrt g?\nAnswer: -1200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001001001 - 0?\nAnswer: 1110001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/336424 and 113\/17094.\nAnswer: 261401448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0075 - 0.5075. Put 2, -0.07, -2\/3, l in descending order.\nAnswer: 2, -0.07, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.045, -1\/7, 2, -5, -0.4, -8\/911?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604959779?\nAnswer: 3, 457, 1170649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471753 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7*(-167 - (2 + -6)) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*3\/7*(-1)\/(-1). Sort -3\/7, -5, d, 0.2.\nAnswer: -5, -3\/7, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1049 = -3*y - b, -4*b + 363 = y - 5. Let j = 492 - y. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 2*p + 4*p + 1 - 1 + p + p + 2 - 2 + (2 + 0 - 1)*(p - 1 + 1) + 4 + p - 4 - 2 - p + 2 + p + 2*p - 2*p + 193*p - 139*p - 104*p.\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 957 = 665. Let o = n - -2509. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipiqbypybpbiibhpby. Give prob of sequence yii.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 5*a**2 + 10*a + 23. Let l be x(-6). Suppose -m + 5 = -0*m. Sort m, -3, 1, l.\nAnswer: -3, l, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*z + 110*z + 13824. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120575303 + -2?\nAnswer: 120575301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1) + 0 + 2. Let i = 2\/21415 + 4689871\/149905. Let s = i - 31. Does s = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/50)\/(15*(-13)\/325))\/((-1254)\/(-190))?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -26. What is the second derivative of 13*n**4 + 15*n**4 - 4*n - 64*n**4 + 23*n**m wrt n?\nAnswer: -156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/(1\/(-38)). Let p be o\/(-5) + 1\/5. Let f(c) = 3*c + 2*c - 7*c + c**3 - 3*c**2 - 6495 + 6498. Give f(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 245 + -727\/3. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -30. Let m = u - -20. Which is the closest to m? (a) -5 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 7 = 2*u + 3, c = u + 8. Let a = u + 9. Let q(y) = 2*y**2 - 3*y**2 + a*y**2. Let m(i) = 5*i. Calculate q(m(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2501 - 897?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 218\/(-24) - (1125\/(-108) + 10))*-45.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1631 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731656568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmuugyy. Give prob of sequence ty.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 122201102 (base 3) in base 5?\nAnswer: 403132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - s)*(0 + 1 - 12).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 365.888197 to 0 dps.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 15*f - 2*f**2 - 34 - f**2 + 4 + 0*f**2. Let t(m) = 3*m**2 - 16*m + 29. Let j = -1 - -4. Let u(l) = j*t(l) + 2*g(l). Find c such that u(c) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12*(-84)\/(-39). Let i = -1920\/13 + 148. Let r = i + y. Is r less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 5*b + 2. Let i be t(5). Let a(d) = i*d - 2*d + d + d. Let x(s) = -s. Give a(x(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3140925.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 491, 1669, 3965, 7751, 13399, 21281, 31769?\nAnswer: 45235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10605, 21098, 31591?\n\"Answer: 10493*b + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 161*w - 104. Let j(s) = -40*s + 26. Let p(g) = 18*j(g) + 4*o(g). Differentiate p(l) with respect to l.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -67, 6, 3, 1 in ascending order.\nAnswer: -67, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x*z**2 - 335*x + 434*z**2 wrt x.\nAnswer: -2*z**2 - 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1186114989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(68) - 6*(1*sqrt(68) + sqrt(68) - sqrt(68) - sqrt(68))) + sqrt(68))\/(sqrt(8)\/(sqrt(4)\/sqrt(2))))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 16911 = 87833 + 46643. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(468)*2) - (4 + (0 + sqrt(1053) - sqrt(13)) + 2))**2.\nAnswer: -64*sqrt(13) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccxcbckcp. What is prob of sequence pb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 173, 26, -121, -268, -415, -562?\n\"Answer: -147*h + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 15*a**2 + 8*a - 10. Is 10 a factor of h(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 7*x**6\/120 - 7*x**5\/60 + 19*x**2. Find the third derivative of t(v) wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -29*m - 455. Let k be j(-16). Which is the nearest to -2? (a) k (b) 6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j*j**(-3\/5))\/j))\/j))**(-43) assuming j is positive.\nAnswer: j**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:49 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -160\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 2. Let i(l) = 20 - 6 - 13 - 2*l + 3*l. What is -4*i(x) + n(x)?\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -50, -109, -192, -299, -430?\n\"Answer: -12*x**2 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 232\/48 - (-1)\/6. Suppose -21 = -z*c - 6. Put c, -3, 0 in ascending order.\nAnswer: -3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/3559 in -3\/2, -0.5, 3, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3160 or -3159?\nAnswer: -3159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/5)\/((-2)\/10). Suppose 0*i - 2*i = -k. What is the least common multiple of i and 3\/(3\/(-2)) - -24?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.91496 rounded to two dps?\nAnswer: 6.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3026 + 3068. Solve -7*m - 70 = -a*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 36*v**2 + 135*v - 80. Calculate g(-32).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -9903019?\nAnswer: 9903018.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 33. Let o be 68\/60 + (8\/(-30))\/q. Let i(u) = -5*u + 1. Calculate i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-8)*12)\/(176\/(64\/8))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56730383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - x**4 + 0*x**4)*(2 + 2 - 6) - 3*x**4 - 2*x**4 + 3*x**4 - 3950*x**4 - 2235*x**4 + 989*x**4 - 4*x**4 - x**4 + 3*x**4.\nAnswer: -5202*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 0 (c) -1 (d) 5 (e) -918 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700789119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**10\/60480 + u**8\/13440 - u**4\/6 - 2*u. Let y(r) be the third derivative of z(r). Factor y(v).\nAnswer: -v**3*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -230?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167 divided by -389.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-23)\/46)\/((3\/4)\/3). Does 31 divide (-2)\/(-1) + (m - -4)*123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*x - 20*x + 2*x)*(2*x - 3*x + 3*x) + (1 - 2 + 3)*(x - x - x**2))*(0*x - 2*x + 4*x) in the form j*x + o + n*x**2 + l*x**3 and give l.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/26*(-3)\/((-27)\/(-30)). What is the lowest common multiple of 2 + ((-10)\/(-1) - 1) and (p - 2) + -5 - (-27)\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10448*h**3 + 10449*h**3 - 20894*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(600))**2*-3*6 - (5 + 1 + sqrt(931) + 2*sqrt(931)).\nAnswer: -21*sqrt(19) - 471\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 + 260\/(-20))\/1. What is the biggest value in r, -24, 2\/7, -17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 4 + 5 - 4)*(-101 + 50 - 252) to y + f*j and give y.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107784871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2073 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13200 + -1023414?\nAnswer: -1041014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6302684, -6302733, -6302814, -6302927, -6303072?\nAnswer: -6303249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**3 + 6*r - 6*r - 27*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 11*k + 23. Let w be i(7). Do w and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 53*x + 2213. Calculate v(-52).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = k - 23, 0 = 2*k + 4*a + 3029 - 3075 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -384, -7, 1, 0, 74 in decreasing order.\nAnswer: 74, 1, 0, -7, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujc when three letters picked without replacement from yyoypycoucjpy?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 16 + 21\/2*t**2 - 17*t. Find the first derivative of z(c) wrt c.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742313639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -853371, -853377, -853395, -853431, -853491?\n\"Answer: -g**3 + g - 853371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x = -26*x - 989 + 125 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 149768.2 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 537294601 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9866 + 19343\/2. Suppose 0 = -4*k - 369 - 323. Let s = n - k. Calculate the common denominator of s and -41\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = 2*s - 36, -31 = -2*s - 3*x. Calculate the highest common divisor of s and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -83. Let m = 0.3 - 0.5. What is the closest to 0.1 in -3, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**3 - 34*m**2 - 44*m - 26. Let q(l) = 6*l**3 - 33*l**2 - 44*l - 25. Let r(g) = 5*o(g) - 6*q(g). Factor r(j).\nAnswer: 4*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86.38008 + -86.11. What is m rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let u(b) = b**2 - 13*b - 6. Let c be u(12). Let n be ((-2)\/4)\/(3\/c). Let a(s) = -2*s + 2*s - n*s + s. Determine t(a(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 12*d**2 + 335252544*d - 335252544*d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*z + 15 = 3, 5*z = 0. Let q be c*(-4 + 41\/4). Solve 3*k + 21 = -5*s, -2*k = 3*k + 5*s + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1) + (-64 - -62). Sort w, 40, 2 in descending order.\nAnswer: 40, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -302?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {e: 4, a: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(10 - -170)*(-2)\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = 0, 0 = 3*b + 2*b + 5*v - 20. Let m(l) = -14*l + 1. What are the prime factors of m(b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1633*t + 2803. What are the prime factors of k(3)?\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20956 - 6018. What are the prime factors of j?\nAnswer: 2, 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5061.\nAnswer: -2\/5061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477 + 16*i**2 - 2*i**3 - 2*i - 624 - 9*i**2 - 7*i**2.\nAnswer: -2*i**3 - 2*i - 2101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 526*i**2 - 138338*i.\nAnswer: -i*(i - 526)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 5. Let h be c(5). Suppose h*i + 3*i - 15 = 0, 2*g - 36 = 2*i. Suppose 1 - g = -2*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 22*p**3 + p**2 + 4*p + 3. Determine j(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-21180)\/(-84) + (0 - 3\/21) is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*n**2 + 3*n - 6*n + n + 0*n + 1 to the form d + g*n**2 + l*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -20696930 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 283557241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 200213017 less than 0.4?\nAnswer: -200213016.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 5*x - 1. Let j be k(-2). Suppose -j*g + 8 = -7. What is the derivative of 4 - 4 + o**4 + g wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/9)*j**(-1)*(j*j*j\/((j\/j**(-1))\/j)*j)**(19\/6) assuming j is positive.\nAnswer: j**(149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4482721.\nAnswer: 4482721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*f + 6*f**4 - f**4 + f**4 wrt f?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irfeygr. Give prob of picking 1 r and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*x**2 + 2*d**2 - 5*d*x**2 - 2715*d - 268*x**2 - 8*x with respect to x.\nAnswer: 4*d**2*x - 10*d*x - 536*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - x + 3*x)*(x + 1 + 1 + 0) to p*x**2 + b*x + w and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = d + y, 72 = -2*d + 4*d + 4*y. Suppose -d*m + 43*m = 6. Suppose k - 2*k + 20 = 2*h, 2*h = -m*k + 32. Solve 3*t - 3 - k = 3*v, 0 = 2*t - v - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:35 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*m - 27792000 = 35*m - 71*m. What is m rounded to the nearest 1000?\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1290120 by 120.\nAnswer: 10751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*x + 698 = -422*x. Is 347 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26200 and 233442?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -0.7 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 32*g - 2173. What is s(35)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5791, 11496, 17227, 22996, 28815, 34696, 40651, 46692?\n\"Answer: 2*g**3 + g**2 + 5688*g + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/5 (b) 2\/7 (c) 2.2 (d) -2\/13 (e) 1 (f) 15 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9858569 to the nearest integer?\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5\/4 - 2*s**4 - 17*s**3 + 11*s**2\/2 + 211*s\/4 + 65\/2 = 0.\nAnswer: -5, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550482 and 414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 927.2?\nAnswer: -92.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 4659?\nAnswer: -4659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/11 (b) 2 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1032?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r**3 + 1878*r**2 + 210*r - 7810. Determine v(-134).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 6*f - 8. Let y be i(-4). Solve -2*l + q = 5, y = 3*l - 8*l - q - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 - 54 = -16*y. Let w(v) = -3973 - y*v**2 + 3973. Let r(s) = 6*s**2. What is r(w(a))?\nAnswer: 864*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829272?\nAnswer: 2, 107, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 127 = 15*v - 4*m, -4*v - 4*m = -60. Sort -5, -8, v.\nAnswer: -8, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756027 and 17037?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 7*k**2 + 5*k + 1. Let v be n(5). What is the common denominator of 83\/6 and (-6)\/24 - 171\/v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/10 + 19*n**4\/6 + 5*n**3\/6 + 5*n**2\/2 - 2733*n. Let s(t) = t**3 + 19*t**2 + 3*t + 3. What is -3*d(x) + 5*s(x)?\nAnswer: -x**3 - 19*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 64 = -24*y. Suppose 29*o + 5*j - y = 32*o, -60 = 5*o + 5*j. Let z(q) = 0 - q**2 - 10*q - 3 - 5. What is z(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -0.088?\nAnswer: -0.01056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 7 + 2 + -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20583343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*f**3 + 47*b**2*f**2 + 39*b*f**2 - b*f + f**3 wrt b?\nAnswer: 2*f**3 + 94*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4403, 4402, 4403, 4412, 4435, 4478?\n\"Answer: s**3 - 5*s**2 + 7*s + 4400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6754 + -6756. Sort 1, -260, n, 4, 3 in decreasing order.\nAnswer: 4, 3, 1, n, -260","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7590 - 840?\nAnswer: -8320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109147 + 516.1.\nAnswer: 109663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1175\/4 + 37\/4*h**2 - 445\/4*h + 1\/4*h**3.\nAnswer: (h - 5)**2*(h + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29198 is divided by 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -37. Suppose -4*s = s + p, -4*s = -4*o + 40. Solve 4*x - x + o = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 74.\nAnswer: -8, -3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*b + 7 = 0, -2*u - 3*b = -8*b + 11. Suppose -u*y - 88 = -6*y. Let i = y + -12. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4461227 and 56.\nAnswer: 55.5538773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.817 and -3?\nAnswer: 14.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18049224 divided by -9939?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 18}. What is prob of sequence rrrm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 21*g**2 - 18*g - 18. Let k(q) = 6*q**2 - 5*q - 5. Let x(d) = 18*k(d) - 5*y(d). Let b(r) be the second derivative of -r**3\/6 + 3*r. Calculate x(b(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25642848 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1\/6 (c) -3 (d) -2\/87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3180111 nanograms to milligrams.\nAnswer: 0.0000003180111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75615 and 20445?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14167 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -79.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l**3 + 3*l**3 - 5*l**3 + (3*l + l - 2*l)*(0 + 0 + l**2) - l**3 - 2*l**3 + 0*l**3 - l**3 - 3*l**3 + l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 7522 + 7528 - 13*z**2 - 3*z. Let a(c) = 25*c**2 - 11. Determine 6*a(f) + 11*s(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 20340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 + 1. Let z be (-1436)\/(-18) + 14\/63. Let n(y) = 3*y**3 - 82 + z + 2*y**3 - 3*y**3. Calculate -4*n(m) - 3*r(m).\nAnswer: m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/60 + w**4\/24 - 5*w**3\/6 - w**2. Let m = -26 + 23. Let v(u) = u - 1. Calculate m*v(x) + f(x).\nAnswer: -x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 17 = -2. Let m be (5\/70*21)\/(36\/48). Sort 1, 199, m, k in ascending order.\nAnswer: k, 1, m, 199","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (12 - (3 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -126 - 100 - (43 - 1)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/(-273))\/(260\/(-845))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*g = 720, 11*r - 8*r - 2*g - 716 = 0. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 7046.276?\nAnswer: -70.46276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -85. Suppose -6*f - 14945 - 2371 = z. Is 0\/(0 + 1) - (-13 + f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 1 = -1. Suppose 39*w - 34*w - 19145 = i. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1430 + 2578 = 24*q. Calculate the remainder when q is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 343119 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*o + k - 3, 4*o - 2*k = -6. Let n = o + 2. Let z = 2 - n. What is the greatest common factor of 33 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Calculate the smallest common multiple of 8 and 19 - ((i - 3) + -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, i: 6, k: 1}. Give prob of sequence kaia.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138183 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 411106 divided by -2?\nAnswer: -205553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(190) + sqrt(190)*1) + sqrt(190))\/sqrt(10))**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 + 779*p**2 - 264*p - 1083. What is n(-260)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -0*m. Suppose v = -2*h + 10 + 6, -17 = -m*h + 2*v. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - 3 - -243*285\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 = 313*p - 980 + 10121 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9597759?\nAnswer: 3, 3199253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -620 - -403728?\nAnswer: 403108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 1.2. Let m = 84 + 22. Let p = m - 745\/7. Which is the second smallest value? (a) 3\/4 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -37. Suppose 8 = 4*w, -3*w = c - x*w - 73. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 704 + -453. What is the remainder when q is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -4*q - 149, 2*k - 507*q - 134 = -503*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-54)*-5*1\/5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = -4*j. Suppose 0 = -j*r + 104 + 94. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**(2\/7)*q)\/q)**2)**(-1\/39))**(1\/5) assuming q is positive.\nAnswer: q**(-6\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3\/5 + 2283948*s**2\/5 + 4567908*s\/5 + 2283956\/5 = 0.\nAnswer: -1, 570989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 99190675 from 3.91726.\nAnswer: -99190671.08274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6*1161\/8100 + 1\/(-10) and 194\/(-8) + -3 + 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.3. Let z be 3\/(-12) - (-3)\/8. Let p = -6.67 + 7.67. Which is the closest to p? (a) z (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7294 - 503305\/69. Calculate the common denominator of 59\/115 and q.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.251216 minutes?\nAnswer: 195072.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5223 (base 6) to base 11.\nAnswer: -971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*z + 96195 = 1004*z + 256*z for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(550) + sqrt(550) + 4*1*sqrt(550)))\/((sqrt(275) - (sqrt(275)*-4*-3 - sqrt(275))) + sqrt(275) + sqrt(275)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2739456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 4*a + 157 - 172 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let s(u) be the third derivative of 7*u**5\/60 + 13*u**2. Determine d(s(b)).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.6\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -712?\nAnswer: 70d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468627989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = 0, q - 3*u - 14 = 9. Suppose 409*z = 428*z - 6023. What is the remainder when z is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 545, 1106, 1701, 2342, 3041, 3810, 4661, 5606?\n\"Answer: 2*b**3 + 5*b**2 + 532*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 147974.26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(28\/(-270)) - -6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v - 3*v + 4*v)*(2*v**2 + 0*v**2 + 0*v**2) - 318*v**2 + v - v + 34*v**3 + 318*v**2 in the form i*v**3 + k*v**2 + x + h*v and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, 532, 1678, 3424, 5776, 8740, 12322, 16528?\n\"Answer: t**3 + 291*t**2 - 328*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -24*o**3 + 8*o - 5. Let r(x) = 2*x**3 + x - 1. Give l(u) - 5*r(u).\nAnswer: -34*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2*w**6\/15 - w**5\/5 + 10*w**4 + 48*w**3 - 746*w. Factor c(s).\nAnswer: -4*s*(s - 6)*(s + 3)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 + 2*a. Determine r(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 v, and 1 m when four letters picked without replacement from {v: 2, l: 1, e: 1, m: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g + 36. Let t be g\/5*10\/(-4). Suppose -2*v = -5*i + i - 4, -3*i = -3*v + t. Solve 5*p = -v*s - 10, -5*s = 3*p + 2*p + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/13 + 32360*g**3\/13 + 130960904*g**2\/13 + 523455360*g\/13 + 523325952\/13.\nAnswer: 2*(g + 2)**2*(g + 8088)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -190 in -1\/3, 2\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2850 and 5112900.\nAnswer: 5112900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -4478.\nAnswer: 1343.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 39, -4 in descending order.\nAnswer: 39, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/140 + 87\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008913 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 863 = 5*m, -4*g + 326 = 3*m - m. Let k(q) = 66 - 11*q - 58 + m*q**2 - 170*q**2. What is k(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {c: 7, n: 1, i: 1, t: 1, p: 7, o: 3}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54455799*k**4 - 2*k**2 + 56784329*k wrt k.\nAnswer: -653469588*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + (-34)\/3. Let m = 25 + p. List the prime factors of 6\/4*-2 + m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3082*o**2 + 20267*o wrt o?\nAnswer: 6164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 123. What is v(-64)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 20. Let f be k(-10). Suppose -4*m = -5*c + 576, m - 444 = -4*c - f*m. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:45 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*h - 32, 2*k = -k + 5*h + 53. What is the remainder when 41 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 4*p + 4 - 3. Let g be z(-1). Let u(y) = -3*y**2 - 3*y - 3. Let a(h) = 4*h**2 + 5*h + 4. Let r(d) = 2*a(d) + 3*u(d). Determine r(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(68)*1 - (4 + sqrt(68)*1)) + 3 + sqrt(68) + -1 + -5.\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-56)\/(1 + 1). What is the remainder when 175 is divided by (44\/16)\/((-2)\/a)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2087*a**2*m**2*r*u - 18*a**2*m**2*u - 2*a**2*m*u + m*u - 10985*r*u wrt m.\nAnswer: 4174*a**2*r*u - 36*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - r - 4)*((-r - 2*r**3 + r)*(-5 + 1 + 1) - r**3 - 3*r**2 + 3*r**2 + 0*r**3 + 2*r**3 - 3*r**3) to z*r**2 + g*r**3 + l + m*r + d*r**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - 4*z - 1. Let v(g) = 10*g**2 + 13*g + 2. Let t(c) = -6*c + 4. Let q be t(1). Calculate q*v(n) - 7*h(n).\nAnswer: n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 98, 3 in decreasing order.\nAnswer: 98, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 3357312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-8)\/(48\/6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268503*h**3*q**2 + 4*h**2*q**2 - 2*h**2 - 214*q**2 - 15*q wrt h?\nAnswer: -1611018*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 11504b27?\nAnswer: -11504b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 4692.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 1:14 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 392172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4129\/5 - -826. What is the nearest to d in 0.3, -1, 59\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/(-18))\/((-4)\/(-6)). Suppose -3*v - 176 = -6*v + 5*b, f*v - 288 = 3*b. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106974 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 2\/13 (c) 1 (d) 510 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*f**2 + 18270*f**3 - 167*f**2 - 18271*f**3 + 2239 wrt f?\nAnswer: -3*f**2 - 454*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) - 2\/(-9). Suppose -6*h + 3*h + 6 = p. Suppose -k + 1 + h = 0. Solve 0 = -k*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -16*w - 36. Determine m(8).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + 140. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/7, -1, -2\/9 in descending order.\nAnswer: 13\/7, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 4. Let f(q) = -7*q - 12. Determine 17*c(i) - 6*f(i).\nAnswer: 8*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -116028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 224192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-69)\/(-90) - (-2)\/20. Which is the third smallest value? (a) p (b) 21\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 + 10*o - 2. Let n be g(7). Let s be (12\/4 - 1)*2. Suppose -s*m + n = -29. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/(-68))\/5*28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 341. Let o(q) = q. Calculate l(o(y)).\nAnswer: 3*y - 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.2.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 2*z = -722 + 662 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. What is the nearest to 5 in y, -2\/9, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158127423 divided by -6.\nAnswer: 52709141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/12 + 4*s**3\/3 - 11*s**2\/2 + 13*s. Let i be h(4). Let z(w) = -w**3 + 5*w**2 + 6. Calculate z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5*(-21)\/14)\/(60\/(-200))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.11 - -0.11. Which is the third biggest value? (a) 4 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2771.15 millilitres?\nAnswer: 2.77115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536454 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, q: 5}. Give prob of picking 1 j and 3 q.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzdz when four letters picked without replacement from {z: 3, d: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10598*t + 3370164. Determine p(318).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41439 and 128307.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-410)\/520 + (-1)\/(-4). Let r = l - -73\/39. What is the second smallest value in -4, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(288) + -2 + sqrt(288) + -2.\nAnswer: -6 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c39c5b (base 13) in base 6?\nAnswer: 241445204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 16*g**2 - 28*g**2 - 17*g**2)*(-g**3 + 2*g**3 - 3*g**3).\nAnswer: 58*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 23813 + -3*(-18)\/27.\nAnswer: 5, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -126, -4, 3 in increasing order.\nAnswer: -126, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12709847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*o - 2)*(23 + 10*o - 23) - 2*o**2 - 3*o**2 + 3*o**2 - 2*o**2 + o - o in the form v + w*o**2 + i*o and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2\/13, 28.94, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17736 (base 10) to base 12\nAnswer: -a320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, b: 1, n: 3, p: 2, j: 1}. What is prob of sequence njnb?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 18 = -15*n. Suppose -12*y + 14*y = n. Solve -2 = -5*g + y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -30. Solve 0 = -2*o - d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.8. Suppose -3*p - 21 = -3*c, -p + 4 - 19 = -3*c. Suppose x + c = -3*y, -6*x + 25 = -x. What is the biggest value in g, y, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let n(w) = -m*w**2 + 0 + 6*w + 5 + 3*w**2. Let l be n(-6). Let p(j) = -j**3 + 4*j**2 + 5*j. Determine p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 2*h)*(h**3 + 0*h**3 - 2*h**3) - 2*h**4 - 11*h**4 + 107*h**4.\nAnswer: 93*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 669, 28372 in descending order.\nAnswer: 28372, 669, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9159556298.339 + -0.2?\nAnswer: 9159556298.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/1813?\nAnswer: -3\/1813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:13 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5378 by 12.\nAnswer: -2689\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21168559, -21168558, -21168557, -21168556, -21168555, -21168554?\n\"Answer: f - 21168560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/5 - 2656*y\/5 + 70760 = 0. What is y?\nAnswer: -1450, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1290*g**3 + 297987*g**2 + 1457007*g - 3390 = 0. What is g?\nAnswer: -226, -5, 1\/430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1100) + sqrt(1100) + 2*sqrt(1100) + 1)**2.\nAnswer: -160*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(52920\/(-9456)) - 6\/147\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t = 59*t - 48. Solve -33 + 37 = -t*s - 3*y, 5*s + 28 = 2*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlz when three letters picked without replacement from {z: 5, l: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/5 + r**4\/6 - r**3\/2 - 7*r**2\/2 + 53*r. Let x be b(4). Round x to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 + 7*o**4\/12 + o**3\/6 + o**2\/2 + 4*o. What is the remainder when w(-5) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 278.7.\nAnswer: -1114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -0*h - 4565. Let q = h + -137. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-18) + (-26)\/39. What is the biggest value in 1\/4, -2, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a - 5. Let y(x) = -7*x - 4. Let g be -10*(-1 - -4 - 2). Let j = 3 + g. Calculate j*y(c) + 6*i(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (-17 - -50) - -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 0. Let l = 0.5 - -2.7. Let v = l + 0.8. Which is the closest to -1\/3? (a) v (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31431a (base 11) to base 7\nAnswer: 4164636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437239 is divided by 145744.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -16. Suppose -r = -f + 5*a, 0 = 4*f - 7*f + 4*a + 29. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089355 + -0.15.\nAnswer: -0.060645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -3782, -10071, -18866, -30161, -43950, -60227, -78986?\nAnswer: -100221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pflppapld. Give prob of sequence lf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/5)\/(1\/(-5)). Let c(k) = 6*k + 3. Let i(h) = -18*h - 8. Let d(m) = a*c(m) + 3*i(m). Let t(f) = -f. What is t(d(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/(1505\/175)*2\/((-4)\/6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + -5 + -4*sqrt(833)*-1 + -3 + (-1 + sqrt(833))*4).\nAnswer: -112*sqrt(17) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.074 (b) -0.5 (c) 442\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g - 22. Give k(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - -945e06?\nAnswer: 945dde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k - 2 + 1548*k**2 + 2*k**3 - 1548*k**2 + (-3*k**3 - k**3 + 3*k**3)*(1 + 0 + 1) + k**3 + 3*k**2 - 3*k**2.\nAnswer: k**3 - 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7223749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100623 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -273, -346, -467, -642, -877, -1178, -1551?\n\"Answer: -h**3 - 18*h**2 - 12*h - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 - (0 + (0 - 0)). Let d = 1 - 11. Let l = d + b. 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 v = 1002097\/72 - 13920. Find the common denominator of v and -29\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - u**2)*(265 - 265 - 84*u)*(0*u - 3*u + 4*u) to the form x*u + f*u**4 + j + c*u**3 + r*u**2 and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 1020*c + 0*c**2 + 1020*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -48*j**2 - 3504*j + 54. What is the remainder when 732 is divided by r(-73)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48171 is divided by 2399?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18101 by -108.\nAnswer: -18101\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i**2 - i**2 + 10*i**2)*(-6*i + 10*i + 0*i) + i**3 - 2*i**3 - i**3 to t + f*i**3 + k*i**2 + u*i and give f.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.3, -0.19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p)\/(p**(-3\/4)\/p))**(-45) assuming p is positive.\nAnswer: p**(-495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 take away 3356.8?\nAnswer: -3298.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 16*u - 1908612. Suppose 0 = 3*z, 2*a + 3*z = -30102 + u. What is a rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, 4, -7 in increasing order.\nAnswer: -7, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -5*y**4\/6 - y**3\/6 - 4*y**2 + 8*y - 1. Let k(q) = 21*q**2 + 2*q + 17. Give 13*b(o) + 6*k(o).\nAnswer: -4*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 18 = -4*h, 4*n + 2*h + 3 + 21 = 0. Let x(a) = -a. Let v be x(n). What is the second biggest value in v, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -11*y - 882. What are the prime factors of (72\/(-21))\/(4\/y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238421 and 36177?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 10. Let f(a) = 990*a - 497*a - 492*a. What is d(f(r))?\nAnswer: 3*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/7368116 and 13\/1052588.\nAnswer: 7368116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87.89 - -26.21. Round f to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -498 - 150. Let m = 655 + h. What is the remainder when 319 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -435 + 439. Find the third derivative of -12*m**3 - 9*m**2 + 0*m**4 - 8*m**4 - 19*m**3 + 6*m**j + 3 + 5*m**4 wrt m.\nAnswer: 72*m - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/3 + 12*l**4 - 2*l**3 - 208*l**2\/3 + 95*l - 36 = 0. What is l?\nAnswer: -36, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f + 279. Suppose 3*s + 6*a = 2*a + f, -s + 23 = 4*a. What is the remainder when s is divided by 2\/(-2)*(-12 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let f(n) = n**2 + 69*n + 489. Let x be f(-61). What is the second derivative of -16*l**3 - x - 11*l**3 - 26*l + p wrt l?\nAnswer: -162*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13612105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38554594?\nAnswer: 2, 13, 1482869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16598 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:58 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 5*k + 0*k)*((1 - 4 + 2)*(-2 + 2 + 2) + 2 + 4 - 2) to the form a + v*k and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -20. Let m be ((-15)\/(-4))\/(12\/32). Let b = m + -6. Solve b*x = -2*r - 8, -j*r = -0*r + 5*x + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/1218357 and -59\/84588786?\nAnswer: 592121502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4433\/28 - -1110\/7. What is the fifth biggest value in -4, q, -0.3, 0.4, -3\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374402, 748821, 1123278, 1497791, 1872378, 2247057?\nAnswer: 2621846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z + 0*z - 4*z)*(-1 + 3 - 1) - 47 + 16*z + 47)*(2 + 18 + 16)*(-z**2 - 2*z**2 + 5*z**2).\nAnswer: 1008*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let w(k) = k**2 - 2*k. Calculate -6*c(p) + 3*w(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 9*d - 10. Let z be p(-20). Suppose 6*y - 4*w = y + z, 4*y + w = 189. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 + 750*s**3 - 27365*s**2 - 57000*s - 28880 = 0.\nAnswer: -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, -1.\nAnswer: -39, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 5*v + 5. Let o be y(-7). Let i = o + -7. Calculate the remainder when 23 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(56*n - 730 + 730).\nAnswer: 112*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (2 - 2) + -34 + (62 - 36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let p(x) = -3*x - 3. Determine f(p(q)).\nAnswer: -3*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y. Let u(q) be the second derivative of 0 + 1\/6*q**3 + 0*q**2 + 4*q. Calculate r(u(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.78413 litres in millilitres?\nAnswer: 31784.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(32))*-5 - (3 + sqrt(2) + (sqrt(2) + -4*(sqrt(18)\/sqrt(9) - sqrt(2)) - sqrt(2)))**2.\nAnswer: -26*sqrt(2) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.3. Let l = -1 - o. Let z = 0.4000008 + l. Round z to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Calculate the highest common divisor of w and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/((-72)\/286) - (-1)\/(-6) and 21\/(-4) - (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 22 = v, -4 = 5*i + v + 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c00 - -28a7b?\nAnswer: 2987b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 207 - 87 = 0. Let a = r - 16. Suppose 113 = a*o - 319. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.127.\nAnswer: -0.0635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/9)*f*f)**39\/(f*f**(-2\/9)\/f)**(-24))**(-1\/7))**(-6\/23) assuming f is positive.\nAnswer: f**(384\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66650058 a multiple of 1294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*m + 118*m - m**5 - 9*m**4 - m - m**5 + m + (m + m**4 - m)*(m - 3 + 3) - 2*m**5 + 0*m**5 + 3*m**5 - m**2 + m**2 - 2*m**5.\nAnswer: -2*m**5 - 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1*2)\/(-5). Suppose 0 = 29*l - 16*l + 117. Let s be (-14)\/18 - (-2)\/l - -2. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Suppose 0 = -0*g - 5*g - 5. Let x(f) = -10*f**2 - 2. Calculate g*x(v) + 6*l(v).\nAnswer: 4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5087837501 to the nearest integer?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/10 - -1\/2. What is the closest to 0 in 5, 1\/7, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -25. Suppose 0 = 5*b + 4*q - 7238, -5*b + z*q + 1462 = -4*b. What is b rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 23893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1728247579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1\/5, -27\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812074 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b. Let f(x) be the third derivative of -x**4\/24 + 3*x**3 + 20*x**2. What are the prime factors of f(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*j = -3*v - 168 + 163, -3*v = -46*j + 141 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -892795\/11 or -81163?\nAnswer: -892795\/11","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u**4 - 1\/90*u**6 + 0*u + 0*u**3 + 0 - 2\/315*u**7 + 1\/252*u**8 + 5*u**2 + 1\/45*u**5. Find z, given that m(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194*114190.\nAnswer: -22152860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3255003.\nAnswer: 3, 397, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 3164?\nAnswer: 60116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(-1 + 2 + sqrt(272)))**2.\nAnswer: 7200*sqrt(17) + 245700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20402 divided by -18.\nAnswer: 10201\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 198 - 198 = 0. Let i(c) = -c**3 - 5*c**2 - 6*c - 4. Let w be i(-4). Let n = w + -3. Sort n, 6, q in decreasing order.\nAnswer: 6, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 6*t - 3. Let k be m(-5). Solve d - k*d - 8 = 4*q, 5*q = -4*d - 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 1. Let o(f) = 9. Let i(u) = 4*l(u) - o(u). Determine i(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 60. Let q(r) = r**3 + 5*r**2 + 8*r - 5. Let n be q(i). Let m = n + 47. Which is the smallest value? (a) -3 (b) 0 (c) -4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/4))**(-37)\/((o\/o**(-10))\/o**(5\/3)))**(27\/7) assuming o is positive.\nAnswer: o**(1989\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 402*a**4 + 2*a - 193.\nAnswer: 4824*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -6. Suppose -k = -4*i + 281, -2*i - k + z = -106. Let n = -26 + 36. What is the highest common divisor of i and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-59)\/(-20) - 3). Suppose -4*m = -c - d, 3*m = -5*c + 2*m + 34. Calculate the greatest common factor of c and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 246, -7, 2, -1 in descending order.\nAnswer: 246, 2, -1, -5, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1080234294 to the nearest integer?\nAnswer: 32867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 197421, 197035, 196391, 195489?\n\"Answer: -129*i**2 + i + 197549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 494 + 5 - 211 - 236 + (0 + 1 + 1)*(0 + 3 - 1))*(-11*v - 17*v + 18*v).\nAnswer: 8220*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47011415 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 3*p**2 - p + 3. Let g be x(-3). Suppose 0*r + g = -5*s - 3*r, 2 = -5*s - r. Solve s = -0*i + 2*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 28. Let r(s) = s + 1. Let p be r(2). Solve f = -p*i - 0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = 39*k + 49 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/13 + 1130*a**4\/13 + 102014*a**3\/13 + 2111718*a**2\/13 - 22082256*a\/13 + 47721312\/13 = 0?\nAnswer: -459, -57, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - r - 9*r as m*r + u and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -628.\nAnswer: -1\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 - (6 - 1813\/(-63)). Let q = 43 + f. Let n(b) = b - 2. Give n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 42*w**5\/5 + 541208*w**4\/5 + 12365546*w**3\/5 - 111385204*w**2\/5 + 107739768*w\/5 - 1852272 = 0.\nAnswer: -12863, -30, 2\/21, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let m = -0.2 - 0.3. Suppose 2*r = 2*v - 17 - 1, 0 = -2*r + 3*v - 22. What is the closest to f in m, r, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 598*k**3 + 12*k + 10. Let g be b(-5). 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: b\"What is the lth term of 182, 146, 110?\n\"Answer: -36*l + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j, -21*n + 16419 = -18*n - 4*j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1467*c + 732*c + 737*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90407.272 - -51016.14. Let l = -39320 - c. Let z = -71 + l. Round z to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82307\/12 + 6865. Find the common denominator of d and (-2 - -2) + (-620)\/(-280).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203831 and 12860?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (160160\/(-77))\/26 + 118\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 8 + 40 = 0. Put 2\/3, 3, 2.9, u in decreasing order.\nAnswer: u, 3, 2.9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 + 2744*r - 2746 = 0.\nAnswer: -1373, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 3*t**2 + 2*t + 1. Suppose -2*x + 2*a = 2, -1 = -x - x + 5*a. Let o(j) = -3*j**3 - 2*j**2 + j. Let s = 170 - 167. What is s*o(i) + x*r(i)?\nAnswer: -i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 3\/7, -4, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 657 * 66.\nAnswer: 43362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 - (-2 + ((10 - -1) + -6 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(208))*-3.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95089331 to the power of 1\/2, to the nearest integer?\nAnswer: 9751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 26848*i + 348348.\nAnswer: 4*(i + 13)*(i + 6699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = 4*g. Calculate the highest common factor of 4 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 12. Let t be w(11). Let c(n) = 1 - t - 4*n + 3*n. Let k(j) = 24*j**2. Calculate c(k(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x + 10. Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*149\/(-2)*1. What is the common denominator of -57\/4 and a\/(-54)*6\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 20064384*x + 25161219081216 = 0. What is x?\nAnswer: 2508048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334743 (base 11) to base 13.\nAnswer: 158978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13385 and 250.\nAnswer: 669250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -33*3\/(-9)*1. Solve j + 4*q = -0*j + o, 2*j = 4*q - 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(108)*-2.\nAnswer: -12*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at least 0.163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2782515 is divided by 349?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b + 4a874?\nAnswer: 4a983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 1014 + 1058. Are j and 258 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 6 = 18. Let h be 10\/(x*(2\/(-3) - 0)). Suppose -h*v - 140 = -f, -738 = -5*f - 5*v - 188. List the prime factors of f.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 45 = -5*n, 0 = 4*n + 3*s + 12 + 24. Is (-19120 + -17)*3\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62 and -4297.7.\nAnswer: -4359.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -34*b**2 + 8*b - 97. Let o(x) = 15*x**2 - 4*x + 49. What is -9*o(n) - 4*z(n)?\nAnswer: n**2 + 4*n - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 2.01. Let r = j + -1.2037. What is r rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18942 - -18942.21. Which is the nearest to z? (a) -3 (b) -1\/2 (c) 0.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o - 1. Let u be 5 + (o - (2 - 2)). Let a be -5*((-6)\/(-12))\/(10\/76). Sort u, 3, a in decreasing order.\nAnswer: u, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 79, 162, 245, 328, 411, 494?\n\"Answer: 83*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (4 + 17 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 24.8. Let d = 4.74 + v. Let g = -20.1 + 20. What is the second biggest value in d, g, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9632 and 40.\nAnswer: 48160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, -7, 1901281 in increasing order.\nAnswer: -7, 2\/23, 1901281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*c + 23776 = 352*c. What are the prime factors of c?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2106 and 0.055.\nAnswer: -115.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-5)*40\/(-12). Suppose -4 = -0*m - 4*m + 3*p, v*p = -5*m + 36. Solve -4*j - 8 = k + m, 0 = -k - 5*j - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4528 + -1.3528. Let p = 1\/33 + -4\/11. Let a be (-9)\/15*(-8)\/12. Put a, p, f, 0 in ascending order.\nAnswer: p, 0, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**2 + 6860*o + 1716.\nAnswer: -4*(o - 429)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 1 + 1 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5740694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*t + 596*d + 320233*t - 54 wrt t?\nAnswer: 2*d + 320233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.00699 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o + 43*o = 94. Let p = 0 - 0.2. Suppose -v - 3 = -5. Which is the closest to o? (a) p (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/88*(-16)\/1848*-12?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from uulull.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-510)\/306)\/((4\/(-3))\/4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*v + 20 = 282*v. Let p be (20\/(-16))\/(27\/96). Are v and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134494 - 47?\nAnswer: 134447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 6*c**2 - c + 15. Let g be h(2). Solve 9*l + w = 10*l, -l - 30 = g*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + 18. Let r = 43.00027 - w. What is r rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 474591333 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9950, 9704, 9288, 8702, 7946?\nAnswer: 7020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w. Let r(l) be the second derivative of l**3\/6 - 24*l. Let f(d) = d. Let x(p) = -4*f(p) + 5*r(p). Give x(h(i)).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5544\/1320*80\/28.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 12 - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21661690 to the power of 1\/2, to the nearest integer?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*o**2 - 184*o**2 - 192*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Suppose -3*n - 25 = -8*n, -5*f - 10 = -5*n. Let d = f + i. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 divided by 35?\nAnswer: 96\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2 + 3*k + 4*k + 5*k**2 - 8*k. Let v be j(1). Let b(a) = -14 + v*a + 14. Let s(w) = -w. Give s(b(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + h**2 + 1 + (-h**2 - 3*h**2 + h**2)*(13 - 14 - 58) in the form u*h**2 + p + f*h and give u.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 17*m - 2*n + 719 = 0, 0 = 5*m - 4*n - 737. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 9) + (-32)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-6) - 2\/4. Let r = -0.1 - 0.1. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 + 2)*(-252*y - 371*y - 121*y + (1 - 1 - 1)*(-y + 4 - 4)) in the form p + m*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 535 - 41552027880.\nAnswer: -41552027345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 154*b - 1 = -155*b, -2*x + 23 = 3*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + h + 22 - 7 = 0, -2*n - 5*h = 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(1\/2)*j\/(j**2*j) assuming j is positive.\nAnswer: j**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:55 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**2 + 118*p - 4. What is the hundreds digit of l(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-4125))\/((-63)\/154).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - y - 12. Does 10 divide s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab + -5?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.4 - 50.3999578. What is i rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:40 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - -3 - 2) + 0\/(-9). Suppose 0 = -k, 2*k = o - k + 1. List the prime factors of t\/2 + o + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27399462 to the power of 1\/2, to the nearest integer?\nAnswer: 5234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.187 - -0.087. Let r = -8 + 12. Sort r, q, 0.\nAnswer: q, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585534138 a multiple of 5103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - 2515*h**4 - 27*h**3 - h**2 + 2513*h**4 + (-10*h**4 - 27*h**2 + 27*h**2)*(-2 + 6 - 3).\nAnswer: -12*h**4 - 27*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3268*g**2*n**3 - 12838*g**2*u + 3*g*n**3*u + 14*g wrt u.\nAnswer: -12838*g**2 + 3*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 10*n - 11*n. Let q(j) be the second derivative of 0 - 1\/100*j**5 + 0*j**2 + 1\/150*j**6 - 1\/60*j**4 - 2*j + 1\/30*j**n. Determine m so that q(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/5))\/(g**(1\/4)\/g)*(g*((g\/g**2)\/g*g*g)\/g*g*g)\/g*g\/g**4)\/((g**(-1))**(-13)\/(((g\/g**(1\/5))\/g)\/g**(-1\/2))) assuming g is positive.\nAnswer: g**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 7. Let u be j(-5). Suppose g + 2*t + 2 = 0, -t - u - 8 = -2*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + ((2 + sqrt(1053))*-5 - sqrt(1053)) + 5*sqrt(1053)*-1 + ((0 + sqrt(1053))*-4 - (sqrt(1053) - (sqrt(1053) - 5*-1*sqrt(1053)))))*-2)**2.\nAnswer: 6480*sqrt(13) + 341572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -23. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012784 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58*(6\/4 + -1) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -19. Let r(w) be the first derivative of -1\/2*w**2 - 2\/3*w**3 - 1\/4*w**4 + 0*w + p. Let q(s) = -s. What is -2*q(u) + r(u)?\nAnswer: -u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 43734\/(-270) - (-2)\/(-9). Let z = a - -163. Sort z, 0.05, -1, -5 in ascending order.\nAnswer: -5, -1, 0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4 + k**4 - 72*k**3 - 2*k**3 + 53 - 54*k**3 with respect to k.\nAnswer: 8*k**3 - 384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-30))\/((-9)\/36). What is the nearest to k in 0.3, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 32. Let u be k(15). Let a be -4*2\/(-36) + 3097808\/936. Let s = a - 3308. Is s less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oogoogooogoooooo. What is prob of sequence ogo?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 69*z - 132*z - 2 + 68*z - z**4 to o*z**3 + y*z**4 + r + g*z**2 + d*z and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000409621328 rounded to seven dps?\nAnswer: 0.0004096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.08, 2\/267, 65?\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/76520 and 57\/7652?\nAnswer: 76520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from {y: 2, l: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128862599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 14 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 6:29 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29031*d**2*x + 162*d**2 - 6567*d + 151*x**2 wrt x?\nAnswer: 29031*d**2 + 302*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/155 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/190 + (56020\/(-76))\/(-1). Suppose -736*q + p*q - 378 = 0. What is the greatest common factor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20861 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 - -10 - (-42 - (16 - 5 - 14))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2966\/13 - 5 - 3. Let w = l - 220. What is the nearest to 1 in w, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o - 13. List the prime factors of l(4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + -1 - (-24148 - -24124).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/6 + 25*u**3\/6 + 11376*u. What is r(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004 plus 269.5?\nAnswer: 269.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y + 126 = 0. Suppose -v - 17 = b - 3*v, -b = -v + 20. Let l = b - y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2064 + -2070. Let g = -1 + 3. What is the third smallest value in g, -3\/4, -6\/7, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwslzwmwwzzzmwzzz. Give prob of picking 1 z and 1 l.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -3\/332 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12285 and 780?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*n - 62987 - 28151 = 66704. What is the highest common factor of 27 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*x + 5*z, x - 5*z = -3*z + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, -8, -1\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 25, 2*l + 12 = -4*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnmn when four letters picked without replacement from {n: 4, c: 2, m: 1, s: 2, g: 2, v: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 243. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/11 + 1596*n**3\/11 + 161982*n**2\/11 - 163576*n\/11 = 0.\nAnswer: -92, 0, 1, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0*m**7 + 3*m**2 + 1\/6*m**4 + 0*m**3 + 0*m - 1\/112*m**8 + 0*m**5 + 0*m**6 + 0. What is the second derivative of r(o) wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4901\/(-116))\/(((-22)\/24)\/11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2. Let l(n) be the second derivative of -35*n**3\/6 - 761*n. Calculate l(w(h)).\nAnswer: 70*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3654837 divided by 7?\nAnswer: -3654837\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*((-13)\/(-39) - 4\/(-6)). Solve -5*z = -11 - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/27 + 2\/9. Let k = s + 10. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 67. Suppose c*o = 2*o. Let z(k) = -k**3 + k**2 - k - 5. Determine z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/30)\/(1\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 divided by -2235?\nAnswer: 162\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-24)\/(-10)))\/(1\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 122 + 130 = 0. Let k be (-10)\/w + 24\/84. Put 0.1, 4\/3, k in decreasing order.\nAnswer: 4\/3, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 24*l - 13. Let a(o) = 13*o - 6. Give 5*a(f) - 2*b(f).\nAnswer: 17*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 13*z**2 + 13*z - 2. Let s be l(-16). Suppose -11*h + s - 195 = 0. Let g = h + -29. Solve -5*p = -p - g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddo when three letters picked without replacement from {d: 1, h: 1, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Let k = -0.2 - 3.8. What is the nearest to 1\/4 in 4, k, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 457 + -436. Suppose 45*r - 240 = i*r. Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + (-26)\/13. Let u be (-4 - -80)\/2 + l. Calculate the highest common divisor of 85 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -40, -70, -112, -166?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406258 is divided by 1107?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.379 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**8\/42 + v**5\/5 - 15*v**2. Find the third derivative of g(r) wrt r.\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmk. Give prob of sequence mgk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12360176.\nAnswer: 2, 383, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 162, 165, 168?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {u: 1, p: 1, c: 1, v: 5, b: 3, n: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20213240 (base 5) to base 6.\nAnswer: 3301134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 4:07 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose -3*v = 12, t + v = 5 - x. Suppose 0 = 5*r - t - 8. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/276)\/((-141)\/(-4324)). Let l = -1 + 3. Solve -2*z + 0*i + 3*i = 10, -l*i = -4*z - x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19612 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108927.\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, p: 7}. Give prob of picking 1 p and 1 x.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) -0.4537 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42273589.\nAnswer: 42273589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.377633 millilitres in litres?\nAnswer: 0.009377633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3*u + 2*i**3 + i**2*u + 172712290*i**2 - 8*i*u + 8739153*u wrt u?\nAnswer: -i**3 + i**2 - 8*i + 8739153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let c be r(-4). Find the second derivative of -j**2 - c*j + 0*j**2 + j wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 18 = -2*o, -2*v = -6*v - 3*o - 57. Put v, 4, -2 in ascending order.\nAnswer: v, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 11 + 14 + -14 + 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18441602 by 158.\nAnswer: 116719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 290074244 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1586.3 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.028? (a) -4 (b) -0.5 (c) 7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**3 + w - 1. Let c be m(1). Let f = c + -9. Suppose f = -5*d - 11431 + 136431. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/3*282\/(-7238)*11?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/519)\/(((-4828)\/(-10863))\/(((-4)\/3)\/2)).\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 10292.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -70857\/11 and -6442 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -10\/33, 40, -7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 11*w = -2. Let t = 12 + -9. Let f(a) = 0*a**3 + 0*a**t + 2 + 2*a**3 - 4 + 3*a**2. Determine f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2 - 2)*(2*q**4 + q**4 + 0*q**4 + (q - 3*q + q)*(2*q**3 + 5*q**3 - q**3)) - q**5 - 2*q**5 + 5*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 8371025 = -1307707. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107648 at most -107371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 16*i + 4*i - 7*i to the form h*i + t and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099946 to the power of 1\/2, to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 1. Suppose 0 = -5*j + 25 + 5. Give w(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w\/((w*((w\/(w**(2\/25)*w)*w)\/w)\/w*w)\/w)))\/(w**(-6)\/w**0) assuming w is positive.\nAnswer: w**(198\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.8 + -0.2. Let n = -17 - w. What is the smallest value in 0.1, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.74369 to one decimal place.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10041900 rounded to the nearest one hundred thousand?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84200 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 5*b. Let o be w(6). Let z(f) be the third derivative of f**6\/120 + 7*f**5\/60 + 5*f**4\/24 + f**3 + f**2 - 43*f. Give z(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 19651 = 1835. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*c + 374 - 43*c - 167 - 89 - 4*c as m + k*c and give k.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 140\/(-32) - 4\/32*-4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 k when four letters picked without replacement from pkplllkplkkkkkkl.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8601\/2, 7, 2, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -80*x**2 - 3*x + 12*x + 63*x**2 - x - 10*x. Let g(k) = -4*k**2. What is m(g(i))?\nAnswer: -272*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 50*w + 1680.\nAnswer: -5*(w - 14)*(w + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {p: 7, t: 1, q: 2, g: 4, l: 4}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/3)\/((-1)\/3). Let d be 5*b\/20*1. Suppose d*s + 4*j - 74 = 0, -s + 45 - 9 = j. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**4 - 12*j**4 - 8*j**4)*(-2 - 2*j + 0*j + 3*j).\nAnswer: -26*j**5 + 52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(77) - sqrt(77)*-2) - (sqrt(77) - (sqrt(77) - 1*sqrt(77)*2)))\/(sqrt(84)\/(sqrt(36)\/sqrt(3)*3)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 2*j + 22, -3*r + 7647 - 7681 = j for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(12\/7)*h**(-3\/4)*h)**32)**(-48))**37 assuming h is positive.\nAnswer: h**(184704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v**(-2\/35)*v)**(-1) assuming v is positive.\nAnswer: v**(282\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 381095 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/5 (b) 2\/9 (c) -0.3 (d) -1\/102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = -2. Suppose 2*b - 2*a - 38 = -n*b, a = 4*b - 28. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 + -0.06. Let i be 4 + -4 + 6\/(-9). Sort r, 1, i in ascending order.\nAnswer: i, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -441, 120, -76, 1 in descending order.\nAnswer: 120, 1, -76, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 63\/10, -1 in descending order.\nAnswer: 63\/10, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 1 + 16*o - o - 14*o**2 + o**3. Let q(i) = 4*i**3 - 55*i**2 + 64*i - 4. Let y(z) = 2*q(z) - 9*w(z). Is y(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3.3?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (9\/1 - -5) + -5. Calculate the highest common factor of 716 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358651\/20 - 17937. Calculate the common denominator of g and -47\/418.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*g*j*s - 100*g*j + 6*g*u + 5872*j*s + 5*j*u - 3*j + 13*s*u - 5*u - 13 wrt s.\nAnswer: -9*g*j + 5872*j + 13*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = -13*h. Let s(n) be the second derivative of n + h*n**3 + 0*n**4 + 1\/30*n**6 + 0*n**2 - 1\/20*n**5 + 0. Factor s(q).\nAnswer: q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 48, 0, 4, -11 in descending order.\nAnswer: 48, 4, 0, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 + -1.65. Let m = q - 0.4. Let f = m + -0.95. Round f to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 40*h**2 - 33*h - 324. Let a be k(41). Let p(y) = 4*y - 1. Calculate p(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2218530.3 - 0.2.\nAnswer: -2218530.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7\/11 (b) -5 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f1a - 73?\nAnswer: -2f8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f**3 + 14*f**2 - 5. Let z(u) = 10*u**3 + 7*u**2 - 3. Let k(l) = -3*n(l) + 5*z(l). What is the third derivative of k(d) wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/8, -0.06, -5\/12, -4, -0.3?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**3 + 9*m**2 + 21*m + 9. Let u(g) = g**4 - g**3 - g - 1. Let c(x) = 3*u(x) - z(x). Factor c(y).\nAnswer: 3*(y - 2)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 465*a**2 + 44. Is n(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -28*u - 36. Let g be k(10). Let q = -217 - g. Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Let r = 2.5 + -1.9. Let p = r + -1.6. Put j, -1\/2, p in descending order.\nAnswer: j, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:09 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 918 and 1786836?\nAnswer: 16081524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u - 1 + 22*u + 1 - 14*u. What is p(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -479 + 672. Suppose -f = 8*c - 1441. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -59. Let s = p - -29. What is the closest to -6 in -1\/3, 5, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 0.01776, -2\/7 in decreasing order.\nAnswer: 85, 0.01776, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (99\/(-66))\/(2*1\/(-52)). Calculate the greatest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22b2 - 3?\nAnswer: 22ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 14 + 3)*(f + 0*f + 0*f) - 10*f - 5*f - 2*f to the form k*f + i and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 626 - 2571\/4. Let h = -83\/20 - 73\/20. Find the common denominator of a and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15268 + -5343711\/350. Calculate the common denominator of d and 103\/84.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513589 and 209.\nAnswer: 5649479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/60 - i**3\/6 + 7*i**2. Calculate q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**3\/6 - u**2 + u. Let s be z(-6). What is the closest to -2 in 3\/8, s, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/29)\/(g**7\/g))\/(g\/(g*g*g**(2\/15)\/g*g*g))**(1\/4) assuming g is positive.\nAnswer: g**(-2408\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1, -44 in descending order.\nAnswer: 1, -2\/7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 2*c + 6. Suppose -13 = -5*j + 7. Let h be y(j). Suppose 12 + h = g. Solve d + 0*a = 2*a - 1, -4*d + g = 2*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - 2*c)*(c - 2*c - c) - c**2 + c**2 - 23*c**2 + (-51*c - 2*c - 12*c)*(4*c - 4*c + 2*c)*((-2 - 2 + 2)*(0 + 0 - 1) + 0 + 0 + 1).\nAnswer: -415*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22347 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:56 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - 3*u)*(-1 + 1 + 2*u**2) - 274*u**3 - 297*u**3 + 425*u**3.\nAnswer: -144*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 5. Let w be z(9). Let v = w + 24. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 77 = -3*n + f, -75 = -5*n + 5*f. Calculate the remainder when 73 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.571 - -0.071. Let o(y) = -3*y + 3. Let v be (-1 - -3) + 3 - 3. Let f be o(v). Put 4\/3, k, f in decreasing order.\nAnswer: 4\/3, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(2\/11)*o)\/o)\/o*o**5*o)\/(o**(-1\/9)\/o*o\/(o*o**(-2\/15))))**47 assuming o is positive.\nAnswer: o**(143303\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-3)*2\/5. Suppose i - 125 = -v*i. Solve 0 = -2*b + o + 3, -b - 4*b - i = 4*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-368 + 195 + 233)*(21 + 4*x - 21).\nAnswer: 240*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 10*p + 11. Let l be w(-9). Let c(f) = 3*f**2 + 3*f**2 - 3*f**2 + 0*f**l - 24 + 8*f. Is c(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-455) + -1 + 5\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**3 + y**2 + 3*y + 2. Let k be c(-1). What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18396910 = -5*h - 2*h. Suppose -i = h - 9068130. What is i rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/25 + 2\/25. Let s = -0.7 - -0.3. Which is the nearest to -1\/2? (a) s (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - z)*(-7*z + 2*z + 0*z)*(-60*z**2 + 6*z**2 + 12*z**2).\nAnswer: -210*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*a + a - 16, 9 = -2*a - s. Let x(w) = -w**2 - 16*w - 45. Let i be x(a). Let p be 5\/(-20) + (-18)\/(-8). Solve 15 = -i*t - p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, m: 5}. What is prob of picking 2 q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12292*k + 1625 = -12227*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269998638 = 53*d - 307542362. What is d rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - (222 - 212).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-180 + 75 - -6)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -0.2, 41, -0.5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3432*c - 3*k = 3433*c - 17, 33 = 4*c + 5*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*r + 8785 = -945 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/5 (b) 1 (c) 2\/11 (d) -1\/2 (e) 1\/4 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42077260*n**2*p**3 - 2*n**2*p + 40*n*p**2 + 5922*p**2 - 3 wrt p?\nAnswer: 252463560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28.02566 - -0.03566. Let y = -105.21 - -105. Let c = v + y. What is c rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 45 = 2*p - 75, p = -2*r + 47. Let h = 32 - r. Calculate the remainder when 86 is divided by (2\/4)\/(h\/348).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, 2\/81?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9875\/4400*12 + -27)*-8\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 393 - -219?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*p)*(8 - 8 + 46*p) + 4 - 4 + p**2 - 5*p**2 - 3*p**2 + 0*p**2.\nAnswer: 85*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.98. Let j = -7844 - -7842. What is the closest to c in 1\/6, j, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3 = -131*l + 130*l, -5*l = -2*m + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 188 = -4*n, j + 5*n - 282 = -2*j. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 761?\nAnswer: -96\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/294 - (-4)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -20*p**2. Let u(a) be the second derivative of -a**4\/6 + 26*a. Determine u(y(r)).\nAnswer: -800*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 4*x + 1248, -4*x - 630 = -i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 80088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 278.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 27453?\nAnswer: -27448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 35*p - 36*p = 8, 2*p + 10 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -166029099003*s**2\/2 - 223017948*s - 149784 = 0. What is s?\nAnswer: -316\/235251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.5, 0.07, -3\/2, -0.1 in decreasing order.\nAnswer: 0.5, 2\/5, 0.07, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231021 - 22030?\nAnswer: -2313111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 1280 = -30*a. What is the lowest common multiple of 18 and a?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 3592, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2769781 to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 69?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819156, 819158, 819160, 819162, 819164?\nAnswer: 819166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683*x - 56544 = 677*x. What are the prime factors of x?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23249\/5 greater than or equal to 4650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 84, 118, 146, 168, 184?\n\"Answer: -3*f**2 + 49*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21366*s - 42747*s + 21368*s - 12 - 5*s**3 - 3*s**4 - 2*s**3 as t*s**3 + d*s + q*s**4 + r*s**2 + j and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrbxgrbxbbgb. Give prob of picking 2 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Factor 4939655*t**2 + 256862070*t + 520.\nAnswer: 5*(t + 52)*(987931*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(396))**2*3 + -4 + 3 + sqrt(396) - ((sqrt(88)\/(sqrt(8)*3))**2 + (sqrt(11) + -3 + -4)**2 + 5).\nAnswer: -52*sqrt(11) + 10195\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3267 rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:43 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*q - 8. Let w = q + 14. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619371745 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3 - 9*p**2 + 4*p + 60*p**4 - 62*p**4 - p**3 - 1332 wrt p.\nAnswer: -24*p**2 + 12*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-1))\/(1\/1). Find the common denominator of ((-218)\/(-24))\/(j - 0) and 77\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*27\/(-48)*32\/12. What is the highest common factor of 2196 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5000)\/130)\/(-50)*(-2)\/(-5)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 7:09 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1126 and 14600842.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/120 - 2*y**5\/15 + 7*y**4\/24 + 2*y**3\/3 + 2*y**2. Let u be k(7). Solve -u = 5*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 11:17 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 12772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1405*u + 6192*u + 4842*u)*(-1 + 2*u + 1).\nAnswer: 19258*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 = 20. Let a be ((-771)\/15)\/(k\/30). Let t = -43 + a. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let g(i) = 10*i. Let k be (-181)\/3 - (-2)\/6. Let f be ((-44)\/(-6))\/((-8)\/k). Let m(p) = 90*p. Let a(s) = f*g(s) - 6*m(s). Give a(d(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 - 15 = -19*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 22 = 5*h. Let p be h\/4 + (10 - 4)\/(-12). Let a = p - -5. Solve 0*w = -y + w + 2, -a = -4*y + 3*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 20*c + 327. Is o(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 36 - 31*r in the form a + n*r and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/2 (b) 1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*s + 1712 = 326. Sort -6, -0.06, s, -1 in descending order.\nAnswer: s, -0.06, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/9000 and -91\/41400.\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*t + 3*b, -4*b + 4 = t + 3*t. Let i be (-8)\/77 + (-4)\/(-14). Factor t*l + 2\/11*l**2 - i*l**3 + 0.\nAnswer: -2*l**2*(l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 3. Suppose m = -4*i + 15. What is the first derivative of 4 - 12 - 2*y**i + 10 wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (-139 - -127).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -343.\nAnswer: -73\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 12272\/14)\/((-114)\/(-79800)). What is v rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g + 13033 - 6453 = 0 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:59 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 16. Give j(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/(-12))\/(106\/5565*-35)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*g**3 - 302*g**2 - 4*g - 543754?\nAnswer: -150*g**2 - 604*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five eighths of a gram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*l - 5990, -2*l + 6192 = 2*y - 5788. What are the prime factors of y?\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/(-6) + (-5)\/10)\/((-18)\/27). Solve -99 - j = 26*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10478 and -13\/46097.\nAnswer: 15580786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)\/(-1) - -2. Suppose 111 = 5*s - 3*n, -3*n + 76 = 4*s - m. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufffuufhhfufuf. Give prob of sequence fh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*n + 182*n**2 + 46 - 88*n**2 - 96*n**2 - 10*n.\nAnswer: -2*(n - 23)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 429 + 429 + 54*y**2.\nAnswer: -3*y**3 + 54*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 9. Let w(c) = 2*c**2 - 3*c + 3. Let n be w(o). Let f = n - -1. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 279, 1, 20 in decreasing order.\nAnswer: 279, 20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236 and 295.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25 - -36) + -70 - (0 - -22)) + -10?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1746 - 957. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2596 - 1752. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -i - 6, 4*u + 18 = 9*i - 4*i. Let t = i - -9. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, 4, 0.03, 4614 in decreasing order.\nAnswer: 4614, 4, 0.3, 0.2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*j - 45935 = 1364*j + 4759 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3305608 minutes in nanoseconds?\nAnswer: 19833648000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 20\/(-10))*(-2)\/(-28). Which is the nearest to 1? (a) 23 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277080346559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/343?\nAnswer: 6\/343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (40 + -45)*1\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448214 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1215588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2. Let d(w) = -w + 393. Give d(m(o)).\nAnswer: -2*o**2 + 393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 8\/((-32)\/(-12)) + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 6224*h**2 + 6224*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*5*7\/105\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2654150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 - 2 - 4*k**2 - 5*k - k**2. Let d(f) = -2*f**2 + 4*f + 2. Give 5*d(a) + 4*s(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*q**3 + 179*q**3 + 164*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -192, -386, -580?\n\"Answer: -194*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 8*k + k + k**3)*(2*k**2 - 3 + 3) - 8*k**5 + k**5 - 3*k**5.\nAnswer: -8*k**5 - 14*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 + 1 = 0. Let k(i) be the first derivative of -i**2\/2 - 1. List the prime factors of k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*p**5 - 9885*p**4 + 120519*p**3 - 490647*p**2 + 706920*p - 258300 = 0. Calculate p.\nAnswer: 6\/11, 2, 5, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1 + (-9 - 18 + 18)*(2 + 3 - 1) + 3 - 2 + 1)*(-4*l + 54 - 54).\nAnswer: 148*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -50*i + 164. What is c(0)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l + 77*l + 35*l + 20*l to t*l + z and give t.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 5)\/1 - -2. Let m be -4 - ((-108)\/3)\/u. Find the first derivative of -3 - 4*h + m - 10 - 2 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185884 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 - 145. Suppose -6*y - t = 21. Which is smaller: -0.08 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 674.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152512 is divided by 180.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1515 and 208565.\nAnswer: 625695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21908*f = -21797*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/3 - 6\/(-9). Let s = 20 - 19.6. Is m > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 5082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 3. Let t(h) = h**2 - h + 1. Let f(y) = -q(y) + t(y). Let g be (9 - 6) + -1*9. Let n be f(g). Solve u - 2*u = 4*x - 20, -5*u + n = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 59 - 59 - 8*c**3 + (-1 + 0 + 0)*(2*c**3 + 2 - 2) as l*c**2 + q + b*c**3 + h*c and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -334850 - -168?\nAnswer: -334671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 24933354?\nAnswer: 74800062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 24 + 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 36469, -2, 1, 4, 5 in decreasing order.\nAnswer: 36469, 5, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4315593046?\nAnswer: 2, 2157796523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, -10, -53, -122, -217, -338?\n\"Answer: -13*a**2 + 22*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:16 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 408166474*s**3*y - 272*s + 160420*y - 3 wrt s?\nAnswer: 2448998844*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841035, -1682074, -2523113, -3364152, -4205191?\nAnswer: -5046230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d**2 - 35*d**2 + 2 + 34 + 3 - 12*d + 19*d**2 in the form l + i*d + a*d**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -5*c - 40, -2*y = 546744*c - 546745*c - 56 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562196291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (32 - 20) - 24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 61. Let v(z) = 11*z. Determine v(q(p)).\nAnswer: 22*p**2 + 671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + -3*sqrt(24) + sqrt(24))*-2)\/(sqrt(768) + -3*sqrt(768) + sqrt(768)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*c**2 + 7*c**2 - 9945 + 19916 - 15*c**2 + 3*c - 9953 in the form j + z*c**2 + m*c and give z.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/sqrt(10) - sqrt(54)\/(sqrt(27)\/sqrt(3)))\/(-6*(sqrt(3) - ((sqrt(3) - sqrt(243)*-3) + sqrt(3)))*5).\nAnswer: sqrt(2)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279206.56383 + -0.6287?\nAnswer: 279205.93513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*y + 2*r - 7, -5*y + 12 = 3*r. List the prime factors of (-192)\/(-9) - 1\/y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -263*v + 249. Let l(f) = 84*f - 83. Let d(g) = -19*l(g) - 6*z(g). Calculate d(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176231439?\nAnswer: 3, 19581271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 2, n: 1, o: 1}. Give prob of sequence yon.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94.0077 - -94. Round l to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735606.089 seconds in weeks?\nAnswer: 2.8697190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -201, -504, -1095, -2070, -3525, -5556?\nAnswer: -8259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 645 + 123. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30842, -61686, -92518, -123332, -154122, -184882, -215606?\n\"Answer: m**3 - 30851*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*v + 97*v - 49060 = 0. List the prime factors of v.\nAnswer: 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 23.03. Is 1 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 107506.\nAnswer: -967554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*u - 2048 + 9300 = 0 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 569*j + 11143. Determine s(-19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-168)*(-124)\/(-1953)*9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10939 (b) -0.4 (c) -4 (d) 3\/2 (e) 1\/3 (f) -2.8 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -999299?\nAnswer: 9992.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-140)*2\/(-12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 + 164. Suppose -170 = -s + 154. Suppose 3*k - 2*y = -0*k + s, 0 = -y + 3. What is the highest common factor of k and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -41 - (108 - 85)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1162800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, v: 1, q: 3, o: 1}. Give prob of picking 1 v and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/5 of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1267.22 - -1268. Round q to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -1\/4, 1\/11, 82, -2\/13, -5.\nAnswer: -5, -1\/4, -2\/13, 1\/11, 1\/7, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26865896 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most -24451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2, -0.5, -168.8, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 27864194*f. Let u(a) = 10*a**2. Determine h(u(g)).\nAnswer: 278641940*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 4*y)*(-21*y + 17*y - 25*y)*(-3 + 1 - 2)*(18*y - 11*y - 5*y - 1).\nAnswer: -464*y**3 + 232*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-0.08.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.4, 220\/7, 2, 9\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316 + -291. Calculate the remainder when 634 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.085 - 52.085. Let h = -48 - f. Which is the third smallest value? (a) h (b) -4\/7 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*t = -14, -3*r - 7*t = -8*t + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 5, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/3 (b) 0.3 (c) -0.3 (d) -480 (e) -4 (f) -2\/9 (g) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let m be a(7). Let d be -1*(3 - m)\/1. Suppose -d*n + 0*n + 50 = 0. Solve -5*t = -5*w - 5, 2*w - n = -3*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -9) + 1 + -2. Solve -4*b - m = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 2*g**2 - 5*g - 6. Let u be k(-2). Suppose 4*w = -1 + 5, -2*o = u*w - 8. Factor 2\/9 + 2\/9*p - 2\/9*p**3 - 2\/9*p**o.\nAnswer: -2*(p - 1)*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 628\/9. What is the second biggest value in -4, f, 20?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 9 + 14 - 9 + 5 + 5*v - v**3. Let g(i) be the second derivative of -i**5\/10 + i**4\/6 + 2*i**3 + i**2 + i. What is -12*d(q) + 5*g(q)?\nAnswer: 2*q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278749 is divided by 5259.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 57 (b) 8.5 (c) 0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = -u, -3*l = 3*u - 10 - 23. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-18 - -37) + -70\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 801 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030 + 2?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*(-2)\/(-40))\/((-1)\/6). Let u = -2.65 + -0.35. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737184 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 12*x**2 + 150*x - 80. What is the least common multiple of 984 and a(-20)?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = 3*l - 6*l, j - 20 = 4*l. Let m = 13 - l. Let y = 48 + m. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onxvnnlzllz. Give prob of picking 1 l and 2 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -23*f - 10. Let c(r) = -3*r - 5. Let y be c(-5). What is the remainder when 5\/25 - (-1428)\/y is divided by v(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 556280716 and 181.88.\nAnswer: 556280897.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 0*j + 0*j + 38 - 40 + 2*j**3 + j**2 to the form k*j**2 + x + a*j**4 + r*j + m*j**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*b + b + 97 - 95 - 2*b**2)*(b**2 - 3*b**2 + b**2) + b**4 + b - b to the form w*b + h*b**3 + q*b**2 + t + p*b**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*b + 20, 3*b = 4*o - 103 + 42. What is the remainder when o is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4 + 782*b**3 + 81968*b**2 + 1060320*b = 0. What is b?\nAnswer: -188, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1098 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3 + 43*b**2 - 49*b**2 - 3 - 38*b**2. Calculate o(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 + 8016*b**2 - 8019*b = 0. What is b?\nAnswer: -2673, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 t when three letters picked without replacement from yywwtwyqxsqt.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149 - 122 + 55*c**3 + 221*c**3 + 138 wrt c.\nAnswer: 828*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -243, -530, -917, -1398, -1967?\n\"Answer: f**3 - 59*f**2 - 11*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093608 times 46?\nAnswer: -50305968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 7, 2, 1, 5.\nAnswer: -9, 1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 7, -6, 1, -1 in decreasing order.\nAnswer: 9, 7, 5, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**4 + 3*h**4 - 3*h**4 + 1551*h**2 + 5*h**3 + h**3 - 1552*h**2 - 2*h + 2 to i*h + r*h**4 + t*h**3 + a + o*h**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 j, and 1 o when four letters picked without replacement from gjuggggggjjgjgogoggu?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(-2)*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3714 - 3529.04. What is s rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + l = 0, -17*l = -16*l - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8221 - -1780?\nAnswer: -6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-33) - 30\/(-25). Which is the biggest value? (a) -2\/9 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 18 = -v. Suppose -8 = b + 2*f, 4*f - 3 + 19 = -v*b. Suppose 4*t - 543 + 68 = -5*d, t - 2*d - 122 = b. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-105) + 2\/(-5). Let u = 0.7 + -0.2. Let g = 0.15 - 1.15. What is the nearest to g in 4, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*g**2*l**2 + 250*d*l**3 - 4*d*l - 1680*g**2*l + 2*l**3 wrt d.\nAnswer: -g**2*l**2 + 250*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.5 (b) -1.6 (c) -3\/13 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 6*x + 532. What is the least common multiple of 18 and x\/(-4) - (-12)\/48?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g. Is g < 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*24\/21 - 531\/413.\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232868, 461779, 690690, 919601?\nAnswer: 1148512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 12*j**2 - 11*j + 8. Let x be a(11). Solve -k - x = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3) - 1)*51\/(-34). Suppose 3*d + 56 - 231 = -x*h, -2*d - 2*h = -120. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:27 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 26623 and 26663 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -9. Solve -u = -d + 3*w + 8, 0 = 3*w + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -4 - (-1177 + 1267)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - b + 5*s = 13, 0 = -3*b + 5*s - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 5*y**2 + 6*y - 6. Let m be z(4). Is 2 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**4\/24 + 2*q**3\/3 + 2*q**2. Let n be f(12). Let w(v) = -v**3 - v**2 + 3. Let p be w(0). Solve -p*u = u - n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067*-1\nAnswer: -0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (195660\/(-3584))\/9 + -45 + 51 and 113\/1920.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5 - j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029262 rounded to 7 decimal places?\nAnswer: 0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u - 86. Let h be j(-18). Suppose -h = 5*d + 2*z, -4*z = -4*d + 3 + 5. Is 2\/7 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/4 + 15*y**2\/2 + 45*y + 50.\nAnswer: -5*(y - 10)*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 3*h**2 + 4*h**2 + h**2. Let b(w) be the third derivative of 41*w**5\/30 + 25*w**2 - 8*w. Determine b(p(x)).\nAnswer: 82*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*i - 691*i + 228*i - 5495*i**2 + 228*i.\nAnswer: -5495*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18070738 to the nearest integer?\nAnswer: 4251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-10))\/(1\/(-25)). Is 4\/a - (-788)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + -0.85. Let o be (2\/(-4))\/((-18)\/(-54)). What is the third biggest value in l, o, 2\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 - 6*d**2 + 3*d**2)*(3 - 7 + 7) in the form t*d + j*d**2 + o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7452\/84)\/(-9))\/((-32)\/((-224)\/1)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670339223 to the power of 1\/2, to the nearest integer?\nAnswer: 51675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1847 + 5447 - 1741 - 9*m**2 - 1859.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*t**3 - 1129*b*t**2 - 1266*b*w - 2*t**3*w**4 + 2*t**3*w wrt w.\nAnswer: -1266*b - 8*t**3*w**3 + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/5 - 538*n\/5 + 108 = 0.\nAnswer: -270, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.087 - 3.087. What is the third biggest value in r, 0.5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -796.4 and -157.7.\nAnswer: -954.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 26, 45, 68, 95, 126?\n\"Answer: 2*s**2 + 9*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 3:43 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, f: 3, w: 5, j: 1}. What is prob of sequence qwj?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4271248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8578 at least -111532\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 9*c + 44. Let z be n(-4). Let w be ((-196)\/(-8))\/(-7)*z\/14. Solve -l - 3*a = 4 - w, a - 16 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Suppose -3*m - y + 20 = -0, 2*m = -4*y + 30. Suppose -5*q + 140 = m*i, -44 = -3*i + 2*i + 3*q. Calculate the highest common divisor of j and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**6\/120 + p**4\/8 - p**3\/2 + 26*p**2. Let n(q) = -q**2 + 17*q - 14. Let i be n(16). Give j(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Let d(h) = -h**2 + 11*h + 3. Let v be d(l). Let i = 14 - 3. Calculate the greatest common factor of v and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -47*i + 36. Give q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0457 - -0.5457. Let l = -1 - -4. What is the closest to 0 in y, l, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let b(s) = -19*s - 11*s**2 + 19*s. What is y(b(g))?\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4571.969 litres to millilitres.\nAnswer: 4571969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -5, 111, 87 in ascending order.\nAnswer: -5, -0.06, 87, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 296 - 284 = 0. Is 14 a factor of 521\/4 - k\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 207, 307?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 1 + 1)*(0*h - 4*h + 2*h + (-h - 7*h + 2*h)*(13 - 5 + 0)).\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 3*x - 5*x. Let s(k) be the first derivative of -4*k**3\/3 + 4. Calculate s(m(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 28*j. Let h be u(14). Calculate the common denominator of -163\/66 and (-10 - -10) + (-23)\/(-6) + h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229 * 2\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/909 - -29143\/9999. Let n be (-8)\/352*534\/(-4). Let v = n - m. Is v >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28307773 (base 9) to base 12\nAnswer: -4832079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 62*h**2 - 132*h + 200. Give y(64).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*n - 2 + 4 - n - 4 + (3 + 2*n - 3)*(1 + 3 - 5) + n - n + 2*n + 6 - 8 + 19*n + 4.\nAnswer: 21*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(3\/2)*v**1*v*v*v\/v**(-2)*v*v)\/((v\/(v**(2\/21)*v))\/(v*v*v\/(v\/(v\/v**5)))*v\/(v**(2\/15)\/v*v*v)*v**(3\/5)) assuming v is positive.\nAnswer: v**(197\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56\/20 + -3 + (-14)\/30\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00876 - -2.006117\nAnswer: 2.014877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - 35 - (6710 + -6842).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Let z be 4 - (3 - 1) - 29. Let u = -3 - z. What is the greatest common factor of x and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + w = -1 - 1, -3*l - 5*w - 23 = 0. Let h be 0 + l + 1 - -4. Suppose -h*z = -2*j + 310, -j + 0*j + 5*z + 164 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4320198.25 rounded to the nearest 10000?\nAnswer: -4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let j(y) = 8*y**3 - 2*y**2 - y + 1. Let o be j(-1). Calculate q(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)\/(d*d**(-2\/41)*d) assuming d is positive.\nAnswer: d**(-654\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1608 (base 9) in base 3?\nAnswer: -1200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6 - 3) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 1. Let s(k) = 3*k**2 - 5*k + 0 + k**4 + 5*k + 3 - 3*k**3. Let l(o) = 3*i(o) + s(o). Find the third derivative of l(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/12 + n**2. Let m(h) be the third derivative of -h**4\/8 + h**3\/2 - h**2 + 60. Calculate b(m(i)).\nAnswer: -6*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 0, -g = 2*l - 0*l - 14. Differentiate 6 - g + 5*s - 11*s wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(162) + 0 - (3*sqrt(18)*2 + 4).\nAnswer: -72*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -97*d**2 + 1 - 8 + 37*d + 99*d**2 + 7. Let m(k) = 4*k. Determine m(w(a)).\nAnswer: 8*a**2 + 148*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 130. Solve -7*m + c = -9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 + 50*k - 15. Determine o(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, -6, -2, -263.\nAnswer: -263, -6, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6366309 is divided by 6392?\nAnswer: 6269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 13*j - 203246*j**2 + 203246*j**2 - 9 - 12 in the form q*j + d + o*j**2 + a*j**3 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006154 rounded to 4 dps?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44141?\nAnswer: 37, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 843064 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0 + 0*y - 1\/4*y**2 - 1\/8*y**3 + 1\/4*y**4 + 1\/8*y**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -213 + -b2?\nAnswer: -2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 + -312012?\nAnswer: -312303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z + 14. Let p(t) = -20*t - 155. Let l be p(-33). Let o = -494 + l. Give u(o).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32242214 + 2?\nAnswer: -32242212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 18370264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020 (base 5) to base 6.\nAnswer: -4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 30) + ((-1)\/(-1) - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5 - (-2 + 2))*(-58 - -54)\/540\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 303*l**2 - 510*l + 510. Let p be i(1). Solve 0 = -4*g - 5*d + 16, -p*d + 302*d = -4*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1. Let j(y) = 11*y + 1. What is -3*j(v) - 3*r(v)?\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 680*k - 4077. Let g be b(6). Let h(f) = f + 1. Let j(m) = -3*m + 4. Give g*j(p) + 6*h(p).\nAnswer: -3*p + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 t, and 1 b when four letters picked without replacement from {t: 4, b: 9, q: 1, s: 1, f: 5}?\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21311524 (base 6) to base 8.\nAnswer: 2321414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 53 = -3*r. Solve i - 10 = 4*y, 2*y = -r*i + 3 + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 8, z: 6}. Give prob of sequence dzz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from {d: 1, j: 1, i: 2, v: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1687 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3550685\/7 or -507241?\nAnswer: -507241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -1, -3\/5, 4, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-867)\/(-867))\/((-8)\/96)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (0 - -2) + 4 + -1 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1920470620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -45*o - 39. Let c(y) = -29*y - 26. Give -8*c(u) + 5*r(u).\nAnswer: 7*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -545, -1, 3, -3 in ascending order.\nAnswer: -545, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -123, -5, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 46. Suppose -3*z - 2*x = -1498, -z + u*x + 2502 = 4*z. List the prime factors of ((-12)\/(-4))\/(15\/z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139\/357 - 5\/17. Let r = -3 - -2. Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3\/7 + 27666*f**2\/7 + 827280*f\/7 = 0. What is f?\nAnswer: -9192, -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -715.43746 - -0.13746. What is j rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 105027, 840256, 2835893, 6722142, 13129207, 22687292, 36026601, 53777338?\n\"Answer: 105034*o**3 - 9*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/15 + ((-454365)\/25)\/(-9).\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -850 - -911 - (2 + -45) - -5.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*b - 17 = 0, -2*t + 5*b - 5 = -42. Suppose 0 = 3*k - 3*y + 8 - 32, -5*k - 4*y = -49. Calculate the remainder when t is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/8 - (2 - 2)) + 97175\/(-30420)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10\/(-25)*-10)\/(((-140)\/(-86877))\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 1, j: 1, p: 1}. What is prob of sequence jpg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(1\/5)))**(1\/6))**(1\/19)\/((u**(-8)\/(u\/u**8))\/(u**(2\/3))**(-21)) assuming u is positive.\nAnswer: u**(-1234\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 26*y - 24.\nAnswer: -2*(y - 3)*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -316431948 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:50 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 105 = 225 + 250 - 48 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*a*l**2*n**2 - 2*a*l**2*n + 3*a*l*z - 22*l**2*n*z + 4*l*n**2*z - n**2 - n - 1 with respect to z.\nAnswer: 3*a*l - 22*l**2*n + 4*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26 and -213082.\nAnswer: -213108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-2))\/((-1)\/((-6)\/2)))\/(12258\/(-53118)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 4*w**2 - 3*w - 10750 + 10169.\nAnswer: 4*w**2 - 581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/8 or -862018?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 0)*2 + sqrt(147) + -5)**2.\nAnswer: -210*sqrt(3) + 1348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -3*v**4\/4 + 2*v + 2179. Let p(d) = -3*d - 278. Give m(p(u)).\nAnswer: -81*u**2 - 15012*u - 695556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21885 or 0.0874?\nAnswer: -21885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 13 = 0, -3*u - 122 + 141 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/135211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 i when four letters picked without replacement from {w: 5, i: 15}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-45)*6\/4*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0524492 microseconds?\nAnswer: 0.0000000524492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*y, 6*y + 13*z = 11*z + 12. Is y bigger than 53\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0.11, 5, -2\/11, -46?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/99 + 10816\/24498. Is 0 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31791.\nAnswer: 3, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + -29. Let h be -4 + 102\/24 + 286\/(-312). Sort h, x, -2\/5 in descending order.\nAnswer: -2\/5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3040, 0, -71 in decreasing order.\nAnswer: 3040, 0, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28847 + -102?\nAnswer: 28745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*d - 3, -5*u - 3 = -8*u - 3*d. Suppose 6*w + u = 18. Solve -h - 5*q - 17 = 0, -5*q = -2*h - w*q + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -23. Let z = y - 13.81. Let r = z - 0.69. What is the nearest to -5\/4 in r, 1\/2, -1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*b + 79 - 27, 0 = -y + 3*b + 42. Calculate the lowest common multiple of 25 and y.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let b(j) = 421*j. What is z(b(t))?\nAnswer: 354482*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 138 divided by -46\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-8) - -2 - (-1638)\/(-728). Which is the third biggest value? (a) v (b) -28 (c) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 - -215. What is the nearest to 2 in i, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*h + 129, 0 = 3*a + 5*h - 213 + 44. Suppose -9*n + 8640 = 9*n. Calculate the highest common divisor of a and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (2*sqrt(28))\/sqrt(4) - 6*(sqrt(7) - (sqrt(35)\/sqrt(5) + sqrt(7))**2).\nAnswer: -7*sqrt(7) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-50)*-5*-83*5. Let k = -97 - g. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + -1 + 5 + sqrt(11) - sqrt(11))**2.\nAnswer: 48*sqrt(11) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*y + 337*y - 5*y**3 + 4*y**3 + 0*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 4. List the prime factors of (-30)\/4*t\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -95 and 26.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + 13 + (-2 - 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 4 (c) -197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 165 - f - 178 + 2*f - 3*f**3 - 103*f**2 as y + t*f + c*f**3 + s*f**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 u, and 1 g when four letters picked without replacement from {o: 1, u: 8, d: 2, e: 2, g: 1, c: 3}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29684 - 9111. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 + 4*z**3\/3 - 7*z**2\/2 + z. Let n be t(6). Let s = n + 3. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x + 20. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let w(b) = -2*b + 124. Determine w(y(l)).\nAnswer: -2*l + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -45*a**3 + 0*a**2 + 0 + 190*a + 13\/6*a**4. Find the second derivative of w(c) wrt c.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:21 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -913\/3 - -314. Let c = 44717\/1938 - -30\/323. Find the common denominator of c and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -3*d + p, -78 = 3*d + 5*p + 26. Is ((3 + -1)*d)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 4535.982.\nAnswer: 4534.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249975833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n - 34 = -5*m, 2*n - 26 = -4*m. Suppose -8 = -n*j + j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16313.434 + -16314. Is t greater than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229 - 535*p**3 + 1077*p**3 - 543*p**3.\nAnswer: -p**3 + 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 13. Is 5\/3 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w + 28*w + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -12\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*q**2 - 67191*q + 8958.\nAnswer: 3*(q - 1493)*(15*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 460*g**2 - 3406*g**3 - 460*g**2 + (2*g - 3*g + 3*g)*(-g**2 + g - g) + g**3 + 3*g**2 - 3*g**2 to s*g**2 + w*g + b*g**3 + f and give b.\nAnswer: -3407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*q + 58*i*q - 65*q + 1 wrt i.\nAnswer: 2*i*q + 58*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -80*r**2 + 238*r**2 - 80*r**2 - 77*r**2. Suppose 0 = -5*q + 46 - 21. Let v(h) = 7 - q*h**2 - 7. What is l(v(n))?\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170533*v**6 - 106691*v**2?\nAnswer: -20463960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5037 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/3245 or 1?\nAnswer: 6\/3245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n - 2. Let i(u) = 30 + 37 - 24*u - 55 - 35*u. Let o(h) = -6*i(h) - 34*t(h). Determine o(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 17*a + 19. Let z be k(-5). Suppose -3*t = -z + 32. Calculate the remainder when 25 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + z + 11, 0 = -2*w + z + z + 10. Suppose -4 = 3*t - 5*r - 12, 4*r = -4. Suppose -w = -3*k + t. Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/8 - 2193*i**3\/4 + 601156*i**2 + 2193*i\/4 - 4809249\/8 = 0. Calculate i.\nAnswer: -1, 1, 2193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3\/3 + q**2\/2 + 2*q + 7. Let b be u(0). Suppose -24 - 2 = -b*k. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 16. Let q = d - 26.00085. What is q rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-2)\/(-4)). Suppose -157*z = -160*z. Sort 3, z, w in ascending order.\nAnswer: z, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 13. Let j = -14 - -35. What is the remainder when j is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12658528 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10755?\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + b - 2. Let r(l) = 2*l**2 + l - 3. Let s = -7 - -2. Calculate s*c(v) + 4*r(v).\nAnswer: -2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -649*y - 66. Let l(m) = -50*m - 5. Let d(v) = 66*l(v) - 5*u(v). Is d(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3248, -13190, -29842, -53210, -83300, -120118, -163670, -213962?\nAnswer: -271000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1279*g**6\/120 - 899*g**3\/2 + 1497*g**2. Find the first derivative of m(i) wrt i.\nAnswer: 3837*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*u - 67*u + 7 + 350*u - 7.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/70 + (-5 - 2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47633 and 3519.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13. Let h(d) = d**3 + 20. List the prime factors of h(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472838.8 decades in centuries?\nAnswer: 47283.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1208, 2873, 5044, 7715, 10880?\nAnswer: 14533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, 16, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(260)\/(4*sqrt(5)) + sqrt(52) + -5 + sqrt(4212)*-2)*-4.\nAnswer: 12 + 134*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*h + 5*j, 0*j - 48 = 3*h + 5*j. Let d be -4 - (-7 + -3 + 6). Suppose -q + d*q = 12. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 34*d**2 - 10*d - 21. Let q be o(19). Suppose -k = 41863 - q. Round k to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kku when three letters picked without replacement from {x: 5, k: 4, u: 2, q: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58309.96ml?\nAnswer: 58.30996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-7 - -9) - -2 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9662165 and -25\/69567588.\nAnswer: 347837940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 12*f + 65 - 4*f - 2*f to the form b*f + l and give l.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8894 to 2 decimal places.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 = -157. Suppose 0 = -3*c - 5*u - 1, 0*c + c = 5*u + 33. What is the least common multiple of c and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 take away -691.433049?\nAnswer: 691.593049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5481*6.2\nAnswer: 3.39822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209*k**4 + 473*k**6 + 499*k**2 + 451*k**4 - 242*k**4 - 23*k**6 wrt k.\nAnswer: 54000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10322399279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 15*n - 5. Let k be o(-8). Suppose k*z - 7*z - 1683 = -5*w, 5*w - z - 1692 = 0. Suppose -w = 3*l - 6*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24 - 14 + 17*b + 53 - 2*b**3 - 10*b**2. List the prime factors of o(-8).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 212481*a**3 - 212483*a**3 + a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**9\/72 - t**6\/60 + 28*t**5\/15 + 337*t**2. Find the third derivative of m(x) wrt x.\nAnswer: -840*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210222121220 + 1002012?\nAnswer: -1210221112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/30 + -1 + (-147)\/315?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 118120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/24 + 48\/9. Let n be (-2)\/4 - 7\/(-2). Sort n, 1, o in increasing order.\nAnswer: 1, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5951 times 1\nAnswer: 5951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 - 2083*p**3\/6 + 610808*p**2\/3 - 22957088*p.\nAnswer: p*(p - 968)**2*(p - 147)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, -0.06, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 0*t**6 - 6*t + 0*t**5 + 0*t**4 + 1\/2*t**3 + 0*t**2 + 0 - 1\/7*t**7. Find the second derivative of r(d) wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 6*w - 1. Let p be f(5). Suppose -238 = -5*c - p*j, 0 = 2*c + 2*j - 6*j - 112. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let s(v) = -1 - 3 + v + 5. Let p(x) = x**2 - 7*x + 1. Let f be p(7). Let w(a) = -2*a**2 + 6*a + 6. Let y(q) = f*w(q) - 6*s(q). What is y(b(h))?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36729606 divided by 186\nAnswer: 197471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = -3*g + 23, 4*g = -5*y - 46. Is (-4426)\/y - (-12)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:11 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(-14) assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/10)\/(2\/10). Suppose 0 = -6*a + 2*a - t. Let v(g) = -3*g. Let b(n) = 3*n. Calculate a*b(k) - 4*v(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179336 divided by -1044834?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.587964 litres to millilitres.\nAnswer: 587.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11045488?\nAnswer: 2, 137, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 5*a - 6. Let s be y(-6). Let j = 9 + s. Suppose -3*k + 0*k = -j. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let v(a) = -a. Let o(w) = -v(w) - 3*x(w). What is o(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 0.2, 0.1 in increasing order.\nAnswer: -46, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20151 is divided by 1582.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13166, 26333, 39500, 52667?\n\"Answer: 13167*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4287.457 days in hours?\nAnswer: 102898.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1971 and 1.5.\nAnswer: -1969.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4718027.\nAnswer: 17, 277531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.0296819 rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z. Suppose -10 = 5*m, f - 5*m - 10 = 2*f. Let n(a) be the third derivative of 2*a**2 + 0*a**3 - 1\/24*a**4 + 0 + f*a. What is o(n(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*i - 2, 2*i - 3*f - 12 - 4 = 0. Suppose 5*n + q - 2*q - 2022 = 0, -i*q = -5*n + 2024. List the prime factors of n.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4 + 137*j + 2 - 134*j - 5. Suppose -23 = -3*c - 8. Calculate y(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 3 - 30)*(2 - 2 - 1)*(-3 + 2 + 4)*(-2*i + 2*i + 2*i).\nAnswer: -318*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-60))\/(6\/8). Let j = -0.23 + 0.14. Let i = 462.3 - 457.3. What is the second smallest value in j, 0.2, i, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 9) to base 4\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6 - 5 + 2*r - 4*r - 6. What are the prime factors of u(-17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 - ((13 - 15) + 6 + (-4 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4455 - -105?\nAnswer: 5004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 6*l + 8*l + (-2 + 3 + 0)*(-4 + 4 - l))*(2*l + l + 0*l) + (2*l - 3*l + 2*l)*(5 - 5 + 2*l) + l**2 - 3*l**2 + l**2 + l + l**2 - l.\nAnswer: 47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-3)\/5 + 233\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) + (-172)\/(-36). Suppose d*h - 3*r = -431, 2*h - 5*r = 5*h + 279. What is the common denominator of (-16)\/h + (-31)\/110 and 8\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266186.9 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, -2, -0.2, -2\/3, 912 in ascending order.\nAnswer: -2, -2\/3, -2\/9, -0.2, 3, 912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 0*l)*(-443*l - 26*l + 22*l)*(0*l + 0*l + l**2)*(-32*l + 20*l + 18*l).\nAnswer: 5364*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1\/24*y**4 - 1\/12*y**2 + 1\/6*y - 1\/18*y**3 + 4. Factor d(s).\nAnswer: (s - 1)**2*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 961239 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b - 2*b)*(3 + 5 - 2)*(3 + 2 - 6).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l + 10. Let z(m) = -2*m - 5. Let c(v) = 4*x(v) + 9*z(v). Let h be c(4). What are the prime factors of 23\/h - (-1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 = -0. Let k = -6 + c. Suppose -k = 3*v - 4*n + n, -7 = 4*v - 5*n. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1501*a**3 + 2 - 4899*a**3 - 2.\nAnswer: -6400*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -156*j - 97 + 202. Is -4\/3029 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.587527mm to micrometers.\nAnswer: 6587.527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 10:39 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1132\/5175 - -2\/575. What is the nearest to -1\/2 in 0.4, n, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtgtgggtgg. Give prob of picking 1 t and 3 g.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 408 * 5049\nAnswer: 2059992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 5\/(-10). Let n = -1 + i. Let a(x) = -x**2 - x + 1. Let f(t) = 7*t**2 + 6*t. Let k(r) = -6*a(r) - f(r). What is k(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z**2 - 4*z - 9. Let a(l) = 11*l**2 + 3*l + 10. Give 4*a(n) + 3*m(n).\nAnswer: 5*n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -171206449 and 0.5.\nAnswer: -85603224.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a - 4*y - 12, 4*a + 4*y = 28. Suppose -10*c**4 + 4*c**4 + 3*c + 6*c**2 - 3*c**a - c**2 + c**2 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419220727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - i + 1 = 0, 0 = -0*i + i - 5. Let x(b) = 6*b + 2*b - t*b. Suppose u - 2 = -1. What is x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 6*(-3)\/(-6). Let x(j) = -j**2 + 2*j + 1. Let v be x(g). Let p(o) = 3*o**2 + 2. Let s(i) = 1 + 0 - i**2 - 2. Determine v*p(f) + 2*s(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*v + 1551 = 3120*v - 1574*v for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 5*p + 5. Let i be v(5). Suppose -3*l + 4*b + 0*b = 42, b = -i*l - 70. Let k be 12\/42*l\/6. What is the nearest to 2\/5 in -1\/6, 2\/19, k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 (base 10) in base 16?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9180 and 2636292?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**3\/9 - 2012*m**2\/9 + 15752*m\/9 + 736.\nAnswer: 4*(m - 92)*(m - 9)*(5*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2896, -2918, -2956, -3016, -3104, -3226?\n\"Answer: -v**3 - 2*v**2 - 9*v - 2884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60386.34t in milligrams?\nAnswer: 60386340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/358 and -57\/78514?\nAnswer: 14054006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from fkkffffkjkkrkkfkfj.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8*b - 6*b = 289357, -289351 = -5*q + 4*b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*l + 3*l - 39 = 0, -w + 8 = 2*l. Solve -2 = -16*o + w*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 10*i**2 - 6*i - 49. What is d(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/56 and -105\/6280648.\nAnswer: 43964536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 12, h: 5}. Give prob of picking 2 z and 2 h.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1596\/(-16))\/7)\/((-5)\/((-520)\/(-39)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40320)\/200)\/28)\/(4 - 672\/165).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + -3)\/(8\/(-76)))\/(10965\/(-170) - -65)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/163884 and -79\/546?\nAnswer: 2130492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98434957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 217251203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/451 and -19\/121.\nAnswer: 4961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -165.838141 to 0 dps.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 10*k + 23. Determine h(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 217 and 539.\nAnswer: 16709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/36605135 and -74\/47063745?\nAnswer: 329446215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoo when three letters picked without replacement from poqeo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123 - 530*w - 72 - 128 - 274 wrt w?\nAnswer: -530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 101?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-40))\/((-18)\/5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 + 21*r + 85. Calculate w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w*w*w**(6\/7)*w*w*w*w)*w*w*w*w\/(w\/(w*w*w**(2\/13)*w))*w*w*w**(-18)\/(w\/(w\/((w**12*w)\/w))) assuming w is positive.\nAnswer: w**(-2521\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127136.4439 - -151805.21. Let s = 24670 - a. Let r = s + -1.2. Round r to 3 dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4380 is divided by 728?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 112. Let g be q(0). Let v(x) = 166*x + 4. Let j be v(0). Suppose -3*k + 0*i + 79 = i, j*k + 3*i = g. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 take away 0.38?\nAnswer: -665.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 2*u**3 - 14*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 2. Let q(p) = -1. Let s(b) = -b + 4. Let k(a) = 5*q(a) + s(a). Determine i(d) + k(d).\nAnswer: 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3472 (b) -0.1 (c) 1\/6 (d) 1\/5107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 39*u = -216. Let z(g) = -2*g**2 + 2*g - 2*g**3 + 13 - 2 + g. Is z(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -3*s**5\/10 + 7*s**4\/3 - 7*s**3\/3 - 4*s**2 + 9*s. Factor m(q).\nAnswer: -2*(q - 4)*(q - 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -333935?\nAnswer: -333936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = y + 10, 78*y - 73*y + 4*u = 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114069 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (186\/110)\/(4\/10) and ((-3)\/(-18) - (-1516)\/(-240)) + 1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from ooooqoooooq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 574.3*-20.525.\nAnswer: -11787.5075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -4*o - 6*i + 9769, 5*o - 2*i - 12209 = 0. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:45 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572421141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -348086, 2 in descending order.\nAnswer: 2, -3, -348086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 981*b**2 + 502 - 2061*b**2 + 1059*b**2.\nAnswer: -21*b**2 + 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*o + 3741, -4*o = -4*r + 5*r - 3762. Suppose 0*i + r = 5*i. What is i rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 42.3. Let w = 46 + n. Let s = -0.4 + 1.4. Which is the closest to s? (a) w (b) 1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2305 (base 6) to base 13\nAnswer: 32c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -12, -2, -1.\nAnswer: -12, -2, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2*r**2 + r. Suppose 4*j - 9 = j. Suppose -3 = -2*c + j*c. Calculate the smallest common multiple of 3 and i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-64)\/(-6)*8100\/432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/23 + -121\/69. Let n = j + 17\/12. Is n < 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488499984 divided by -2531088\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 451\/5412 + 2 + 455\/300?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 - 16*k**3 - 2239*k**2?\nAnswer: 120*k**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.7 and 171?\nAnswer: -461.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (38 + -16)) + (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 4*h + 5*p - 41, -2*h = -5*p - 33 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.13687901 to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (23 + -9 + 0)) + 0 + -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7330 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177258 (base 9) to base 12.\nAnswer: -539b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((32 + 762*j + 17 - 51)*(-3 + 0 + 0) - 4 + 4 - 2*j)*(3*j + 0 - 4*j - 1).\nAnswer: 2288*j**2 + 2282*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5690\/609 - -2\/203. Let m = v - -9. Is 1 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let c = 3 - r. Let q be (c\/(-3))\/((-5)\/150). Solve -g - q = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0 (b) 1.1 (c) -1\/3 (d) 728\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 986, 4, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nannnnwwdnawnnwwww. Give prob of sequence wn.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l + 30. Let w be n(0). Let h = w - 9. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 9*g**2 + 13*g**2. Let f(i) = 12*i. Determine f(p(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-1))\/((-1)\/4*-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 4*u - 7*u + 0*u**2 + (-6 - 9*u + 6)*(0*u - u + 2*u).\nAnswer: -8*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + 2*i)*(-8 + 2 + 0).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-3))**(1\/18))**(2\/23) assuming s is positive.\nAnswer: s**(5\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 9*k**2 + 34*k + 9. Let w be m(-13). Let s = 371 - w. What is the remainder when s is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v - 2*v**4 + 173 - 5*v**4 - 173 + v**2 - v**2 + v**4 + (-v**2 - 4*v**2 + 6*v**2)*(2*v**2 - 2*v + 2*v).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1, -1, -4113 in descending order.\nAnswer: 5, 2, 1, -1, -4113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s + 11*s + 16*s + 10*s + 10*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*(sqrt(66) - (3*sqrt(66) + sqrt(66)))*-5)\/(sqrt(18)\/((sqrt(54)\/sqrt(9))\/sqrt(2))*5))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32505*u**5 + 4244*u + 2*u**4 + 32842*u**5 + u**4 wrt u?\nAnswer: 6740*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5966 - 3297 = -29*c + 6455. What are the prime factors of c?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-12) - (-8)\/6. Let c(w) = -4*w + 8. Let a be c(3). Let b = 10 + -7. Sort a, b, q in descending order.\nAnswer: b, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2 + 3*v - 3. Let c(l) = 7*l - 20*l**2 + 11*l - 4*l - 14. Let k(t) = -t**3 - 8*t**2 + 9*t - 14. Let i be k(-9). Calculate i*a(d) + 3*c(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1400*o - 9*o**5 + 9*o**5 + o**2 - 1442*o + 331*o**6 wrt o.\nAnswer: 39720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1247, -672 in descending order.\nAnswer: 1247, -1, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 910704 times -1?\nAnswer: -910704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.978 - -27. Let r = -4.078 - p. What is r rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 2*b**3 - b**3)*(4 - 1 - 2).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 212051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1771416 and 97\/5192.\nAnswer: 19485576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -21*i. Let b(d) = 8*d. Determine g(b(r)).\nAnswer: -168*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5477734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose 5*q = m*q + 15. Let l be 5 + -18 + 10 - -8. Solve q = 2*a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -570 (b) -2\/7 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.087 - -0.127. Which is the nearest to -1\/2? (a) -1 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79786 is divided by 67.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(50)*-4)\/(((sqrt(70) - (sqrt(70)*-1 + sqrt(70) + sqrt(70))) + sqrt(70))\/sqrt(7)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 7. Let a be v(-3). Find the second derivative of 23*g - 7*g - 19*g**a - 15*g wrt g.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419250091.\nAnswer: 13, 101, 149, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1385 and 95060860.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1718265 and 34.\nAnswer: 58421010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 14*b + 16. Let w be s(17). What are the prime factors of w - (4 + -7 + 1)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1469 - -1563. What is the greatest common divisor of o and 2726?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7518691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11282\/8385 - 34\/2795. Find o such that -2*o**4 + 2\/3*o**5 + 2\/3 - 2*o + 4\/3*o**3 + u*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498?\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:56 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -13, -3\/8, -3789?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Let k = -0.048 - 0.662. Let m = k + f. What is m rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/4 + 15*v**4\/4 - 73*v**3\/4 + 153*v**2\/4 - 71*v\/2 + 12 = 0 for v.\nAnswer: 1, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21\/44, 13, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*q + 15 - 4, 3*p - 2*q = 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/3 + 119*v**4 + 10798*v**3 + 95050*v**2\/3 + 31447*v + 10443.\nAnswer: (v + 1)**3*(v + 177)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 + 11\/20*r**5 - 1\/30*r**6 + 0*r**3 - 12*r**2 + 13*r - 1\/6*r**4. Find the third derivative of x(p) wrt p.\nAnswer: -24*p + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1086417*o**3 + 114947 wrt o?\nAnswer: 3259251*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/4)\/((-2)\/8) + -1. Suppose -l = k*l - 5*n - 390, -2*l = n - 141. Let y = 88 - l. What is the greatest common divisor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 + 169*z + 1187. Calculate w(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = g + 318. What is the remainder when g is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 77\/(-5)) + -10)*5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 55.55. Let u = 50.66 + h. Let n = -0.06 + u. What is the smallest value in -1\/7, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.78*-2.047\nAnswer: 3.64366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8539.657g in kilograms?\nAnswer: 8.539657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - sqrt(90)*-2) + sqrt(90))\/sqrt(3) - sqrt(2430)*-1)\/(-2*sqrt(486)*-1 - sqrt(486)).\nAnswer: 13*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44053315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(5 - (6 + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiixihihxxi. What is prob of picking 3 x and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -43. Let z = -1000 + 986. Let g = z - s. Calculate the smallest common multiple of g and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k**3 - k**2 - 2. What is the remainder when x(2) is divided by (-26 + 28)*34\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 16451*n. Let d(v) = -50*v**2 - 2*v. What is d(c(j))?\nAnswer: -13531770050*j**2 - 32902*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -2*p**3 - p**2\/2 - 5*p + 4. Let b(m) = 7*m**2 + m + 6. What is -5*b(i) - 6*c(i)?\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4813*m*v**4 - 2*m*v - 2*v**2 + 17*v - 55 wrt v?\nAnswer: 115512*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 183, 208, 233, 258, 283, 308?\n\"Answer: 25*b + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022407326 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(4*5\/(-90)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = 0. Is (-8)\/(2\/(p - 1)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 7.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1386\/(-132)*88\/(-14). Solve -73*h = -t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 660, 1319, 1978, 2637, 3296, 3955?\n\"Answer: 659*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 89. Suppose -2*l = -3*g - 0*l + 5, d = 3*g + 3*l. List the prime factors of ((-2392)\/(-12) - g\/3) + -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/24390 and -49\/20975400?\nAnswer: 20975400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 81*t**2 + 113*t + 251. List the prime factors of q(81).\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1.32, 0.5 in ascending order.\nAnswer: -1, 0.5, 1.32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-127200)\/(-224) - (-2)\/14)*(-3)\/(-168)*7?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from cskxqsu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86008 and 11648?\nAnswer: 9632896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -594 - -998. Let r = 404.0000332 - u. What is r rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 371319976144.\nAnswer: 371319976142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 54, 124, 222, 348, 502?\n\"Answer: 14*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6027218, -6027216, -6027214, -6027212, -6027210, -6027208?\nAnswer: -6027206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 291812 and 0.4?\nAnswer: 116724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by -2 + 12\/(-3) + 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*d + 289*d - 3948 = 0. Solve 0 = d*a + 49 - 112 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*q**2 + 4*q - 4*q - 402*q**2 - 192*q**2.\nAnswer: -829*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2\/4 - 2097*c\/2 + 194805\/4 = 0. Calculate c.\nAnswer: -1443, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cto when three letters picked without replacement from {c: 2, o: 1, z: 2, t: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4718 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*j + 305*j - 6398 - 565.\nAnswer: j - 6963","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1\/2. Which is greater: o or 0.07?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -8)*6\/(-4). Let p(n) = n**2 + 40*n + 272. Let u be p(-32). Solve q - s - 7 = 0, q + j*s - 7*s - u = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126000 is divided by 2252?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 3756560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -298887, 3 in ascending order.\nAnswer: -298887, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 7*r - 189. Calculate the remainder when 278 is divided by r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -71 (b) -6\/65 (c) 0.5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023323 greater than or equal to 1023323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 h when four letters picked without replacement from {h: 1, s: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*((-52)\/(-12) + -4). Find the third derivative of 32*r**3 + 4 + 4*r**2 + 6 + x - 13 wrt r.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3612 = -245*y - 271*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7*u - 15. Let z be ((-7)\/u)\/(3\/27). Let g be (-2)\/24*(-56)\/z. Which is the third biggest value? (a) 1 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2574 divided by 99?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14540451 + -203?\nAnswer: -14541054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -56. Suppose 4*n = -3*x + 491, 4*n - 2*n + x - 247 = 0. What is the remainder when n is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*z = 0. Suppose 5*m - 472 - 318 = z. What is the third derivative of -166*h**2 - h + h + m*h**2 + 3*h**3 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 125 - 206 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -w - 2*w - 58, -5*g = w - 54. Let o = g + 1. Let i be (-52)\/(-3) - 4\/o. Solve j = 4*a + i, j + a = 4*a + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2, 15 in descending order.\nAnswer: 15, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 8. Let h(p) = 7*p - 17. Let w(s) = -4*h(s) + 9*m(s). Let r be w(-9). Solve 0 = 3*d - 4*g + 20, 2*g - 3*g = -d - r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7999717241 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7*1)\/((-21)\/49)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*z + 3 - 0, -3*q + 13 = -7*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.6 times -1.5?\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/38 and 25\/12369?\nAnswer: 24738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4 + 2 + 5*w - 4*w - 2*w. What is the remainder when q(-5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o = -49*o + 50. Calculate the remainder when 76 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29976660 and 1311720.\nAnswer: 1019206440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -118. Suppose -w = -52 + 15. Let x = w + d. What is the remainder when x is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4518*i - 4258. Calculate l(1).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 823 - 3243\/4. Find the common denominator of -65\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -26 + l + 49 - 23. Let r(k) = -40*k**2. Give m(r(u)).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 9*b - 20. Suppose -4*j = -4*y + 452, 4*y = -y - 5*j + 535. What is the highest common divisor of b and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c\/c**3))**(-17)\/(c*c**15*c*c*c**(2\/9)))**(2\/73))**(1\/9) assuming c is positive.\nAnswer: c**(-940\/5913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-11)\/330 + (-106)\/(-12). Suppose -3*d + 6 = -n*d. Sort d, 8, -2 in descending order.\nAnswer: 8, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*k = -2244, 0 = q + k + 2*k - 760. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 + -28. Let d = p + -39.000034. Round d to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3051 and -68905.7.\nAnswer: -68906.0051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 13720.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 25*l**5 - 885*l**4 - 4415*l**3 - 7275*l**2 - 4970*l - 1200 = 0?\nAnswer: -2, -1, -3\/5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3 - 2 - -1) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from hhhyyyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931 + 2*u**2 - 222 - 3*u**2.\nAnswer: -u**2 - 1153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-6\/11)*(y*y**(-11))\/y*(y*y*y**(-2\/41)\/y)\/(y\/((y\/((y\/y**(-7))\/y))\/y*y)) assuming y is positive.\nAnswer: y**(-6992\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(144)\/((2*sqrt(8) - sqrt(8)) + sqrt(8)) + ((sqrt(126)*2 + sqrt(126))\/sqrt(7))**2).\nAnswer: -648 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 0.88, 10 in decreasing order.\nAnswer: 10, 0.88, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -49.5. Let o = 104 - 103.535. Let y = s + o. What is y rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1329318 or -1329258?\nAnswer: -1329258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 38 = 2*j, -3*y + 3246*j - 3251*j + 55 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.339283l in millilitres?\nAnswer: 2339.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46379 by -4.\nAnswer: -46379\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.29 (b) 2\/15 (c) 2 (d) -5 (e) -0.03 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. What are the prime factors of 188\/20 + a\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from {r: 3, c: 11, w: 3, a: 2}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. What is the derivative of f + 0*f + g + 3*f + f wrt f?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 5\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1482.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 10*i**2 - 12*i + 17. Suppose 4*j - 7*j + 58 = 5*g, -4*g - 2*j + 46 = 0. Let w be n(g). Solve -2*b + 4 = -w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 divide 29080032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 - 6*u**2 - 6*u**2 - 4.\nAnswer: -22*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 9*q - 1. Let d(n) = -2*n - 19. Let l be d(-12). Let t be a(l). Solve -1 + t = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27668942 is divided by 6966.\nAnswer: 6956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/5)*v))**(-6\/29)*((v**1*v)\/v)**(-15\/11) assuming v is positive.\nAnswer: v**(-2307\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 4173?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19 + -18)*5*1. Let d be ((-2)\/(-7))\/(u + -7). Suppose 4*o - 6*o = -2. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1230637032 - -1845.14\nAnswer: -1230635186.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.9 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741580 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -69*v. Let b(q) = -13*q**2. Give l(b(j)).\nAnswer: 897*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189576, -189690, -189808, -189930?\nAnswer: -190056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - c - 1)*(-2 + 4 + 0)*(4*c - 4*c**2 - 4*c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 2)*(2 - 2 - 2*a) + 18 + 4*a + 2*a - 5*a + 0 + 0 + 2*a.\nAnswer: a + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 11 = i - 6*u, 5*i = 3*u + 5. Suppose -q + 4 = -i*p, 4*p + 6 = -q + 3*p. List the prime factors of (8 + -2)*(-2)\/q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/4 + 129*z**4\/4 - 3693*z**3\/4 + 39547*z**2\/4 - 78903*z\/2 + 30456 = 0. What is z?\nAnswer: 1, 9, 16, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 + 131. Let p = -59 - z. Suppose -2*y + 5*w = p*w - 14, 3*y - 2*w - 5 = 0. Put -1, y, 1, -2 in ascending order.\nAnswer: -2, -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwc when four letters picked without replacement from wwwwwwcw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28416 and 33024?\nAnswer: 1221888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 68969*z**2. Let l(p) = -10*p**2. Determine b(l(m)).\nAnswer: 6896900*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**6\/3 + 118*l**5\/5 + 61*l**4\/2 - 118*l**3\/3 - 60*l**2 - 3111. What is s in y(s) = 0?\nAnswer: -1, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*z - 1373 + 2357 = -383*z - 11112 for z.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9 - 20\/(-9). Suppose -f - r*b + 31 = 0, -2*f + 2*b + 49 = -1. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -279*f**2 + 1391*f + 877612 wrt f.\nAnswer: -558*f + 1391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5346 and 24755478?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/21)\/((v*v\/(v*v\/(v\/v**(-20))*v)*v)\/v) assuming v is positive.\nAnswer: v**(-419\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*b + 398*b + 2893*b.\nAnswer: 3859*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 13 = 2*v, -13*o + 15*o + 14 = -2*v. Let b(m) = m**3 + 5*m**2 - 5*m + 5. What is b(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**2 + z + 1. Let w be x(-2). Suppose -w = 4*t - c, -3*t + 4*c - 45 = -c. Let m = -7 - t. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/75*5*6\/28. What is the closest to -2 in 1.4, 0, r, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4047210 is divided by 77?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppje when four letters picked without replacement from epnjp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-1 + 2 + sqrt(12)*2*1)**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 8*i - 63 = 0. Is 2\/(-7) - (-1665)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.004 + -11.096. Let z = 11 + m. Put z, 3, 1 in decreasing order.\nAnswer: 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -302, 22 in decreasing order.\nAnswer: 22, 4, 1, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.00255102 take away -7?\nAnswer: 15.00255102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.54 - 10.54. Which is the nearest to 1\/7? (a) -2\/7 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -159566, -160369, -161164, -161945, -162706, -163441?\n\"Answer: a**3 - 2*a**2 - 804*a - 158761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.089 + -0.0889933. What is h rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 3, s: 1, l: 7, j: 5}. What is prob of sequence ul?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395501 is divided by 30420.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 4907?\nAnswer: -18\/4907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499788121, 499788122, 499788123, 499788124, 499788125?\nAnswer: 499788126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85543318 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6155.6 + 6156. Let d(y) = y**3 + 3*y**2 - 4*y + 2. Let b be d(-4). What is the smallest value in 0, b, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 96 = -13*w, 2*p - 8*w = -2*p - 30*w + 704 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3771 times 12\nAnswer: 45252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044435 (base 6) in base 14?\nAnswer: 633cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3456303599 is divided by 300.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)*z**(-4\/5))**(-18))**(-8) assuming z is positive.\nAnswer: z**(-288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 27. Let b be z(-10). Suppose 5*k - 2*m = 8 + b, -4*m + 30 = 2*k. Let 12*g**3 - 5*g**4 - 8*g**3 - 9*g**3 + k*g**5 + 5*g**2 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 221. What is o(-106)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(315)\/sqrt(5) + sqrt(1008) + 0)**2.\nAnswer: 60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.23 + -2.27. Let v = g + 2.1. Sort -3, -0.2, 4, v in increasing order.\nAnswer: -3, v, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 10:31 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 a factor of 48225615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.9, 0.06, 3, -284\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -81. Let c(x) = -27 + s + 3 - x + 11. Let f(d) = d. What is c(b) + 5*f(b)?\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + 3.7. Let o = x + -2.5. Let h = -5 - -5.4. What is the second smallest value in h, o, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 4a7?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-370)\/6)\/1. Let p = -814 - -198. Let x = h - p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3479 - 166 = -248*a + 491*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1555\/2)*14720\/(-160). What is x rounded to the nearest one thousand?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36758 is divided by 7345?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/(sqrt(640) + -2*sqrt(640)) - (4*(sqrt(252) - sqrt(28)))\/(3*(sqrt(4) + sqrt(4)*-2)))*-6.\nAnswer: -55*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6720 to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(4 + 63\/(-6))*1. Suppose f*z - 46*z + 38591 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 520233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226579607 - 226579652.9999951. Let v = 46 + b. Let m = v + 0. What is m rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/5 + (-4)\/(-10). Let c be (15\/10)\/(r\/8). Let h = -1 - c. What is the second smallest value in h, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a microgram in nanograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 186105.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -12*a. Suppose 0 = 4*z - 5*z - 2*c + 9, a = -2*c + 10. List the prime factors of z - (-4 - -1 - 79).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.1312 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -167 and -13?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/55)\/(2\/405). Calculate the greatest common factor of y and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and 713809 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from kwkwiikkkttwwktkw?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 5 (b) 0.068 (c) 2\/17 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-1*19)\/((-5)\/(-10)). Calculate the common denominator of ((-150)\/(-1065))\/(12\/o) and 34\/3.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 12, -1.8 in descending order.\nAnswer: 12, 0.2, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -869, 1, 5, -4, 6 in decreasing order.\nAnswer: 6, 5, 1, -4, -5, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -94, 3, -3, -5 in increasing order.\nAnswer: -94, -49, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6806643294?\nAnswer: 2, 3, 11, 17, 6066527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 2799*g + 269544.\nAnswer: -3*(g - 1021)*(g + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 8*x**3 - 4*x**3 - 2*x)*(23 + 23 - 49) + (-2 - 2 + 2)*(-x**3 - 5*x**3 + 4*x**3).\nAnswer: -2*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 454*j**3 - 20*j**2 - 2*j - 10. Let w(h) = -3*h**3 + 2*h**2 + 1. Determine -b(o) - 10*w(o).\nAnswer: -424*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/62229817 and -53\/18799.\nAnswer: 684527987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))\/l**6*l\/(l*l*l*(l*l**(-4))\/l)*l**8*l)\/(l*l**(-6)\/l*l\/(l**(-4\/9)\/l*l)*(l*l\/(l\/(l**(-5)*l)))\/l*l*l*l**(-4\/5)*l) assuming l is positive.\nAnswer: l**(511\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335040211 - 3?\nAnswer: -335040214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*q - 415 = 2*q, 0 = 5*q - 5. What are the prime factors of ((-11)\/1)\/((-7)\/w)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/9*u**3 + 0 - 16\/9*u - 32\/3*u**2.\nAnswer: -4*u*(u + 2)*(11*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-3)\/((-9)\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.0562 - 0.0562. Which is the nearest to 2\/15? (a) -5 (b) q (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23354 divided by -866\nAnswer: 11677\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/8 - 91\/(-224))*36\/27?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*6\/(-105) + (-2516)\/(-14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(-5*z**4 + z**4 - 5*z**4).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 213, -69, -23 in increasing order.\nAnswer: -69, -23, -4, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/24*(-3)\/((-75)\/10)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-180)\/(-190))\/3)\/((-40)\/2). Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Suppose -f = -a*f. Let j = 24.08 - 24. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 8?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggg. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-55 + 11*d + 55) - 2*d + 3 - 3 + (1 + 1 - 1)*(-d - 1 + 1) - 3 + 3 - d - 2*d - 2*d + 0*d in the form a*d + h and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -34 - 11. Is (x - 2564\/3)\/((-2)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -14, 2, -11, -2 in decreasing order.\nAnswer: 5, 2, -2, -10, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 14, k: 5}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 6:40 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*g + 52*g + 12*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeseaasaaae. Give prob of picking 2 e and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(13 - 30 + 15 - 5*w**2).\nAnswer: 5*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24660)\/36*6\/(-10). Let t = 816 - y. What is the remainder when t is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/5 + 698192*m\/5 - 139638 = 0 for m.\nAnswer: 1, 349095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from iaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + 1 + 1 + (13582 - 13558).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 69\/1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9025 + 9029. Let a(g) = g + 11. Determine a(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*a + 4 = -0, -4*a = 4*p - 32. Let f = 25 - p. Solve 6*h + f = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*o = 9028, 13*o - 10*o = -5*q + 11285. List the prime factors of q.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -7*l**4\/12 - l**3\/6 - 2*l - 15. Let d(u) = -9*u. Give r(d(g)).\nAnswer: -567*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -14975467?\nAnswer: 4\/14975467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4555, -4552, -4547, -4540?\n\"Answer: z**2 - 4556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -2*l**3 + 0*l - 6*l**2 + 0 - 1\/12*l**4. Let r be v(-11). Which is smaller: 11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -119063, -4, 0, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-243)\/(-18)*(-4)\/3. Let s be (0 - 872\/(-36)) + 4\/j. Solve -3*v + 4*h = 28, s = -v - 3*v + 2*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*i + 11, -4*g - 90*i + 88*i = -18. What is the greatest common divisor of g and 861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + c - 181 = 0, -5*k + 2*c - 1693 = -1916 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222 - -42414?\nAnswer: 42142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -50637, 0.2, 4, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -14. Let q = y - 15. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (64 - 56) + 1 + -5. Suppose -i*s - 3836 = -2*b, 4*b + 4*s - 7716 = -68. What are the prime factors of b?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0, 4\/3, 11, 527 in descending order.\nAnswer: 527, 11, 4, 4\/3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/360 + b**4\/2 + 2*b**3\/3 - 3. Let j(z) be the third derivative of x(z). What are the prime factors of j(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*j - 15, -4*u - 10 + 1 = j. Let i(t) = -18*t**3 + t**2 - t - 1. Let c be i(u). Solve 4*f - c = -6*r + r, 5*f - 5 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 34 = -3*g, -2*g - n - 4 = 12. Let j be (1\/(-2))\/(1\/g). Factor -k + 2 + 3*k + 4*k + 2*k**j + 6*k**2.\nAnswer: 2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 2*p - 2. Let f be i(-1). What is the biggest value in -3, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -1, 0.07952?\nAnswer: 0.07952","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25573291.\nAnswer: 199, 128509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22642 is divided by 2256?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/32899 and 43\/1336.\nAnswer: 263192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4944860 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1051 - -470. Suppose -5*g = -134 - t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549 by -24.\nAnswer: 183\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8731817 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14*q - 202. Let n be u(-15). Calculate the highest common factor of n and 852.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-14) - 1100735937\/(-147). Suppose -9*s = -s - j. Suppose -12*u - s = -9*u. Round u to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*n - 222*n - 466 - 3430 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1288417, -2576835, -3865251, -5153665, -6442077, -7730487, -9018895?\nAnswer: -10307301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -1\/2*v**2 + 4 + 0*v. Let t(o) = 2*o. Calculate p(t(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43448*o**4 + 25596*o**2.\nAnswer: -1042752*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:13 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1647 - -2785. Suppose 5*l - 11097 = -4*u, -2*l - 12*u + 7*u = -y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/12*(-4)\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -607b - 47a98?\nAnswer: -51b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -16. Let c(x) = 8*x**2 - x + 2. Let k(n) = 3*n - 16 - 7*n**2 - 2*n + 14. Calculate f*c(t) + 7*k(t).\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2009 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 403 - 47?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0*p)**(1\/44)*(p\/p**(-5))\/((p*p\/p**5)\/p) assuming p is positive.\nAnswer: p**(221\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180056*j = 180044*j + 396 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 2. What is d(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59280 and 320060.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -19, 0.5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqp when three letters picked without replacement from qqqqpqqqpp?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/((-2)\/(-3)*-3). Suppose -n - l = -3*n. What is the remainder when 7 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1338*0.1.\nAnswer: -133.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6313*o - 6300*o + 52 = 0. Let f(n) = -n**2 - 18*n - 63. Determine f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l + 30*l - 505 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 190673663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 36\/1367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 696*d**3*l**3 - 724872*d**3 - l**3 + 45*l with respect to l.\nAnswer: 2088*d**3*l**2 - 3*l**2 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 456 + -456.4. Let n = -0.02 - -0.52. Which is the fourth biggest value? (a) n (b) -6 (c) m (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (4 - 3) + -7 + -35 + 51.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7111138.2 to the nearest ten thousand.\nAnswer: 7110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + l**2 + 2*l + 1. Let a be x(-1). Let q = 5 + a. What is the units digit of (-8)\/4*(-1)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300 - -296. Let y(a) = -a**3 - 5*a**2 - 9*a - 4. Let s be y(t). Solve -s = -6*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kad when three letters picked without replacement from {b: 1, u: 8, d: 1, k: 5, a: 5}.\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444700528.\nAnswer: 2, 53, 524411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 24526224\nAnswer: 1471573.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:08 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from hewsbscee?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 10 = -4*u, -5*u - 13 = -75*s + 71*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*n + n = -152, 0 = -3*d + n + 119. Suppose -v - d = -2*v. Calculate the remainder when v is divided by 48\/27*6 - 6\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 91. Suppose -2294 = -f*m - 330. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Let v(f) be the third derivative of -7*f**4\/24 - 4*f**3\/3 + 24*f**2. Let t be v(-5). What is the highest common divisor of q and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4 + 8. Differentiate 399*q - z + q**2 - 4 - 399*q with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + t - 274, 0*t - 270 = -4*p - 3*t. Let o be (184\/p)\/((-2)\/9). Let q(f) = f**2 + 13*f + 9. Give q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 9*a**2 - 43*a - 21. What is the thousands digit of m(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**9\/60480 - x**8\/10080 - x**6\/180 - x**5\/60 - 9*x**2. Let s(j) be the third derivative of w(j). What is s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (50\/(-3))\/((-155)\/69750) a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 226 + -282. Let b = u + 60. Calculate the lowest common multiple of 48 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1299, -1214, -1133, -1062, -1007, -974, -969?\n\"Answer: -i**3 + 4*i**2 + 80*i - 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -4*m**7\/21 - 22*m**6\/5 + 98*m**5\/5 + 49*m**4\/3 - 104*m**3 - 152*m**2 + 56*m + 16. Let g(t) = 0. What is t?\nAnswer: -19, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*f + 818*f + 463*f as n*f + z and give n.\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*y + 3*y - 1772, 2*o - 3*y - 886 = 0. Suppose -657 - o = 5*f. Let d = 3741\/17 + f. Is d <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -33*n**3 - n**2 + 5*n + 6. Let z(w) = 5*w + 1 - 11 - 6*w + 4*w. Let k be z(3). What is the remainder when 95 is divided by s(k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -333\/632 + 12\/79. What is the closest to -2\/7 in j, 1\/6, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4251342.\nAnswer: 2, 3, 29, 53, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 90*p**2 - 21*p - 266. What is the smallest common multiple of 210 and l(-30)?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 5*p - 107 + 143)*(-2*p - p - 2*p).\nAnswer: 10*p**2 - 180*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220200 - 0.3.\nAnswer: -220200.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34215382\/(-496)*(-12 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*x - 88*x + 28779 = -7169 - 28640 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2588258?\nAnswer: 2, 1294129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-9)\/(-4) - (-39)\/12. Solve i - 3 = -3*d, 7 = -d - 0*i - l*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 882 - 283. Let s = m + -752. Which is the second biggest value? (a) 5 (b) 2\/15 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let m(r) = -4*r + 20. Calculate -5*h(j) - m(j).\nAnswer: -j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164525 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22679, -5, 3\/4, 1 in decreasing order.\nAnswer: 1, 3\/4, -3, -5, -22679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182 + 6*g**3 + 110 - 167*g**3 with respect to g.\nAnswer: -483*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(3 + 3 + -5). Calculate the highest common factor of c and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 78*l + 862. What is x(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven halves of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1653308, -3306618, -4959922, -6613220, -8266512?\nAnswer: -9919798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 91 = 3*r. Let q be (15 + -13)\/((-4)\/(-286)). Calculate the highest common divisor of q and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1460184 and 5412?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 115102233 (base 7) to base 14\nAnswer: d53b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.02999695 - -1.03. What is q rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -81. Let v = 235\/3 - t. Which is the fourth smallest value? (a) 4 (b) -0.2 (c) 5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5671*x**2 - 7*x - 7. Let r be 4\/(-5) + (12\/20)\/(-3). Is w(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244375113 - -2?\nAnswer: -244375111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 6129.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - (sqrt(204) + (1*sqrt(204) - sqrt(204))))*6)\/(6*(sqrt(4) + -2*sqrt(4))))\/(-1*(1*sqrt(75) + sqrt(75) + sqrt(75))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 25*x + 3. Let f(h) = 17*h + 2. Let v(i) = -7*f(i) + 5*r(i). Let u = 1 + 0. Determine v(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1050560853 and -186?\nAnswer: 1050561039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139574.4 or -2.1?\nAnswer: -139574.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*l - 568 = -3032 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 50213?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(12)\/sqrt(4) + 4 + -5.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6)*(23 - 20). Let q(u) = 66*u + 10. Let w(t) = -t - 1. Let n(s) = g*q(s) - 6*w(s). What is the first derivative of n(b) wrt b?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 2*s**3 + 0*s**3)*(-2 + 0 + 0) + 24 + 0*s**2 - s**2 + 12*s**3 - 11*s**3.\nAnswer: 3*s**3 - s**2 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*q + 6, 0 = 3*i - 0*q - 2*q - 6. Calculate the remainder when 69 is divided by ((-3)\/i)\/((-4)\/48).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128 - 129 + s + 0*s - 15*s to the form q*s + b and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6329586 and 0.2?\nAnswer: 0.12659172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**2 - 6*k - 12*k**2 + 38 + k - 36. What is v(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -25. Suppose -c - 4*c = i. Put c, -5, 4 in descending order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and 7.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 10*q**2 + 2*q - 2*q**3 + 4 - 16*q**2 + 2*q**4 = 0 for q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1589403.\nAnswer: 317880.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1030.58 to the nearest integer.\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15))\/(42\/(-18)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-14*(-1)\/2 - (-33803)\/(-1756))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.155 (c) -0.2 (d) 9 (e) -20 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6472, 6467, 6462, 6457, 6452, 6447?\nAnswer: 6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584.99178 + -585. Round g to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)*(d\/(d\/(d*d*d**7*d*d*d*d)))\/d*(d\/((d*d*d\/((d*d**(5\/3))\/d))\/d))\/(d\/(d**(-3\/2)\/d)) assuming d is positive.\nAnswer: d**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -81b?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -4053?\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - 37\/(-4). Let b(l) = l**3 - 15*l**2 + 16*l + 20. Let h be b(14). Let r be (-450)\/(-48) - 18\/h. Is d bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*s + 2. Suppose 3*f = -s + 9. Let r(g) = -10*g**2 + g. What is r(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 + v**4 - 1089*v**3 + 2*v**2 - 3*v**4 + 1090*v**3 as n*v**4 + r + g*v**2 + k*v**3 + m*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 11*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 3829?\nAnswer: 24\/3829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-1088)*2 - (-4)\/(-34))*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3580 and 21838.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 40, 78, 152, 274, 456, 710, 1048?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1265\/23)\/((-85)\/476*-28)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-193 - -95 - -59).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24034887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 2*y**4 - 3*y**4 - 432*y**3 + 1 + 429*y**3 + 19*y**4 to the form m*y**2 + v*y + r*y**3 + d + s*y**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3467\/((-1 - -2)\/(-3)). Let c be o\/(-15) - (-4)\/(-10). Is 19 a factor of c\/12 + (-3)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cri when three letters picked without replacement from {d: 1, r: 1, i: 1, c: 10}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7962431785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/((-6*8\/(-112))\/3). Calculate the highest common divisor of 715 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 8*w**3 + 23*w**2 + 28*w + 12.\nAnswer: (w + 1)*(w + 2)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.97 + 0.03. Let n = 15.69 - -0.31. Let f = v - n. Which is the second biggest value? (a) 2\/7 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9 and 2275\/(-2394) - 6\/57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.999 + 0.001. Which is the closest to -18? (a) 5 (b) r (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 530467, 529722, 528481, 526744, 524511, 521782, 518557?\n\"Answer: -248*d**2 - d + 530716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Solve 1\/2*q + 2*q**3 - 5\/2*q**2 + m = 0 for q.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4176 divided by 87\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-42) - (-11)\/12. Let f = 85\/84 - t. Let m = 2 - 0. Do f and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*v - 26 = -v, -3*z - 36 = 2*v. Let r be (z\/(-35))\/((-2)\/10). Is -4 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -5*g**3\/6 + 5*g**2 - 62*g + 65. Let j(i) = -6*i + 11. Give -4*j(h) + 5*q(h).\nAnswer: -h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318882 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1070 + -6637\/3210. Is -3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/22*72\/6858*(-2)\/(-10)\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32446868 is divided by 68?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1279, -1407, -1533, -1657, -1779, -1899, -2017?\nAnswer: -2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15*l. Suppose i + 4*i = 0. Let b(h) = -h**3 - h**2 - 1. Let s be b(i). List the prime factors of o(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -1265732?\nAnswer: -1265727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 12. Let j be s(10). Suppose -j*b + 60 + 20 = 0. Suppose 2*p - b = 7*p. Is p greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*l**2 + 72*l**2 + 261*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*g - 348, 2*g - 128 = -m + 43. What is the third derivative of -3*a**3 + 161*a**2 - g*a**2 - 61*a**2 + 19*a**4 wrt a?\nAnswer: 456*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3)*(35 - 5). What is the units digit of ((85 - -2) + 1)*(-9 + b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 37*f - 37*f + (-3*f + 5*f + 3*f)*(0 + f + 0) - 10*f**2 + 0*f**2 - f**2 as a + t*f**2 + m*f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1632 = 35*m - 9*m + 70*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -889*m**6\/15 + 15*m**3\/2 + 9*m**2 - 2*m - 1711. Find the second derivative of s(f) wrt f.\nAnswer: -21336*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(252)*1)\/sqrt(4) - 1*sqrt(1575)) + 5 + (sqrt(126) - sqrt(126)*5)\/sqrt(2))**2.\nAnswer: -4057 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 52*d + 1. Is q(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 575641\/24 + -23989. Find the common denominator of g and 49\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*l**4*n - 11*l**2*n**3 - l*n**2 - 457*n**3 wrt l.\nAnswer: -60*l**3*n - 22*l*n**3 - n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:26 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41\/66359 or -1?\nAnswer: -41\/66359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j)\/(j\/(j**(-4)*j))*(j*j\/(j\/((j**1*j)\/j*j))*j)**36 assuming j is positive.\nAnswer: j**(419\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:44 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 13 + 30 - 15*u**2 + 41*u**2 + 16*u**2. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137549100.\nAnswer: 2, 3, 5, 13, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1182*g**2 - g**3 - 1181*g**2 + 0*g**3 in the form b*g**3 + f + p*g + w*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256546 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 424*q - 20. Let f(x) = -181*x + 10. Let o(y) = 5*f(y) + 2*w(y). Calculate o(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-15)*20\/8. Suppose 3*z + 3*x = -d*z - 1240, -z - 226 = 5*x. Let u = -89 - z. What is the greatest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 4, 3, -0.058?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 2*m**4 + 0*m**2 + (18 - 37 + 5)*(5*m**2 + 2*m**4 - 5*m**2 + 2*m**2 + m**4 - 2*m**2 + (-m - m**2 + m)*(2*m**2 - 4*m**2 + 0*m**2)).\nAnswer: -68*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 b when four letters picked without replacement from {b: 2, s: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 77*m**2 + 91 - 2*m**3 + 77*m**2.\nAnswer: -2*m**3 + 154*m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 10:58 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + -3 + 732\/6 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.071 - -4.229. Round g to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 12 - 18 - 49*l.\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.87 - 0.55754609.\nAnswer: 0.31245391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66755 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1823 - -1591. Which is bigger: -2\/5 or i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 less than 2656700.3?\nAnswer: 2655484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**9*g*g**(1\/7)*g**(-1\/6)\/(g*g\/g**8*g) assuming g is positive.\nAnswer: g**(-43\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 30*n**2 - 10*n**2 + 2*n**2. Let a be v(1). Suppose -110 = a*l - 24*l. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (2 + -4 - (3 + 8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from {h: 2, j: 13, b: 3}?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 34 - -11) + 100?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/((-4)\/((-4)\/(-2)))*(-16)\/(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*b + 67*b + 889592 - 3*b**3 - 867*b - 889592.\nAnswer: -3*b**3 - 1152*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Let o(n) = -n - n - 38 + 20. What is the smallest common multiple of o(-14) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/15)\/((-35)\/((-560)\/32)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {v: 4, c: 2, l: 2, p: 1, y: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*m + 17. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 9*k - 7. Let x be j(-8). Suppose -2 = 3*t - 3*q - q, -q + 2 = 0. Suppose -b = -t*b + x. Is 1 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650 and 9241180.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -244 - -246. Solve -c = p*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by 96.\nAnswer: -33\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9925 = -0*l - 5*n, 13175 = 4*l - 5*n. Round l to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00172939446 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.21 + 7. Let a = 0.209818 + d. Round a to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**3 + 23 - 43*g**3 - 23.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57901 or -57902?\nAnswer: -57901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 276*r**3 + 33*r**2 + 379 - 377 - 31*r**2 - 5*r. Suppose -4 = -5*d + 1. What is the hundreds digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*m + 9, 29*m - 33*m + 12 = -2*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 28. Let o = -44 + 63. Suppose -5*x + o + 1 = 0. Calculate the remainder when p is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/6 - 5. Determine v so that o(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 220810073218 and 0.2.\nAnswer: 220810073218.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:47 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = -43*k + 195. What is the nearest to 0.1 in -3\/4, k, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 402566774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 244*x - 1620. Calculate y(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 19 = 3. Let v = -10 + a. Let w(c) = 5*c**2 + c + 1. What is the tens digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -6\/199 (c) 2\/53 (d) -162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11 - 7 = -5*t, -5*z + 1 = 2*t. Suppose 2*h + 180 = 2*f, -t*h - 74 = -f + 2*h. Calculate the remainder when f - (6 - (3 + 0)) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -3. Is 9 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30056.566 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -524.739518 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1, -82, 391 in decreasing order.\nAnswer: 391, 5, 1, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10120484 or 10120504?\nAnswer: 10120504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8.91548 times 1\nAnswer: 8.91548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 + 269. Is (x*-1)\/((-11)\/(2585\/10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 8. Let q be z(-6). Let y be (-11 - (-632)\/44) + 9\/(198\/(-8)). Which is the second smallest value? (a) 0.7 (b) q (c) y (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1872512 and -0.4?\nAnswer: 749004.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295484471.\nAnswer: 883, 334637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -520, -1039, -1560, -2083, -2608, -3135, -3664?\n\"Answer: -y**2 - 516*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 21*f + 264. Let z be r(-11). Suppose 9 = -z*u + 34*u. Which is bigger: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 2*j + 2*j)*(-4*j**2 + 3*j**2 + 3*j**2) - 8*j**5 - 341 + 341.\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 138053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5 = -3*c - 13, 3*x + 1 = -2*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5134506 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 316 - 183. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470442 a multiple of 487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 109575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/12000 and 17\/1920.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from pppppppphppppppppppp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188475 and 420?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 4005517914508 - 4005517914508.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -25\/92839491?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*b - 4*b**2 - 696*b - 2212*b + 3*b**2 + 105*b.\nAnswer: -b**2 - 2513*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s*s**(2\/15)*s)*s*s**13*s*s)\/((s\/(s*s**4))\/s*s)**21 assuming s is positive.\nAnswer: s**(1453\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + (6 - 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1605\/(-18) - 1\/(-6). Let k = b - -26. Let g = k + 103. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/8 + 3*c**3\/8 - c**2\/8 - 3*c\/8.\nAnswer: c*(c - 1)*(c + 1)*(c + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 37. What is the least common multiple of 6 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:03 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4306.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.2044 weeks in days?\nAnswer: 5916.4308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/110 - -211\/330. Let i = -0.03 + -5.97. Let c = i - -10. What is the closest to -0.2 in c, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w + 464. Give z(-14).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274893.4491 rounded to the nearest one hundred?\nAnswer: -1274900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-218)\/3 + 10)*(-6)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.030764 litres?\nAnswer: 1030.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876 = -36*f - 3*f - 34*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539265677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 684, 1020, 1354?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19386 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 20. Let m be v(7). Suppose -y - f + 3*f = m, -5*f = -5*y - 5. Suppose -y*g + g = -3*o + 567, 3*o = -g + 567. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2490\/(-6972)*(-8)\/5.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and -104.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*i + 147 = 6*x, 15 = 3*i. Suppose -11 + 61 = -2*p. Let d = p + x. Calculate the remainder when d is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 78 = 6*i. Suppose -9 + i = 5*y - 2*z, -5*y + 3*z = -18. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94603356 and 72?\nAnswer: 189206712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {h: 17, y: 3}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001910756538 rounded to six dps?\nAnswer: -0.001911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*k**3 - 2 + 0*k**3 - 5*k + 0*k**3 in the form x + v*k + y*k**3 + i*k**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 4*u**2 + u**2 - 3*u**2 + u**2 + 3*u**2 + (-1 - 2*u + 1)*(-4 - u + 4) - u**2 + u - 5*u + u.\nAnswer: 4*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4*f**2 - 5*f + 3. Let t be v(-5). Let z be 3 - (-1 - 58 - t). What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + -2102000021012?\nAnswer: -2102000021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j + j**2 - 19*j + 43*j - 2*j**2 - 120 + 9*j.\nAnswer: -(j - 40)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97 * -5.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 19094 = -2*x, 3*x = -3*t + 17799 + 10878. Suppose 0 = -a + 6*a + 10, 0 = -5*n + 5*a + x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13876 divided by -6\nAnswer: -6938\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33732220 by -290795.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 419949899 divided by -5?\nAnswer: -419949899\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-2*o + 4928*o + 8645*o + 241*o)*(2 + 0 + 0).\nAnswer: -55248*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 933654 to the power of 1\/2, to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in -0.1, -7, 552?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*j - 10*j - 28, -3*x = 4*j + 26. What is the third biggest value in -2\/11, x, 3, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2*w**3\/3 - 1. Let a(g) = 14*g**2 + 11*g**2 + 13*g**2 - 39*g**2. Determine c(a(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + q + 66, 0 = -2*q + 6*q - 16. Differentiate -3*i - g + 8*i - 7*i + i wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 27004?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t = -133 - 32. Calculate the greatest common divisor of 95 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4\/4 + 29*n**3\/2 - 6*n**2 - 320*n + 128.\nAnswer: (n - 4)*(n + 8)**2*(5*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14610, -58622, -131978, -234678, -366722, -528110?\nAnswer: -718842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 54. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 10:08 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1560\/(-11) - 19\/(-22)*5752\/(-27322).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*g - 2*j, g - 3*j - 140 = -130. Factor 0*y**3 - y**g + 0 + 0*y**2 + 1\/2*y**5 + 0*y.\nAnswer: y**4*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5 + 7389*s**4 - 13638240*s**3 - 40981248*s**2 = 0. What is s?\nAnswer: -3, 0, 3696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4.15 (b) 2\/3 (c) 0.05 (d) -3 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19296842*u - 17908891?\nAnswer: -19296842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10007*h - 5 = -10004*h - 5*q, 0 = 4*h + q - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108984600 and 6.\nAnswer: 108984600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4\/5, 3, 3\/227.\nAnswer: 3\/227, 1\/4, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 150\/1500*(-105)\/(-2). Let p be -3*(1 + 0)*-1. Factor w*k**2 - 3\/2*k - 3*k**p - 3\/4.\nAnswer: -3*(k - 1)**2*(4*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -139637, -0.8, 0 in decreasing order.\nAnswer: 0, -0.8, -4, -139637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:06 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -371.2 (b) -49 (c) 0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -b416?\nAnswer: -b41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 2\/35 (b) -44902 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 1.4. Let m = -0.5 + g. Let q = 128 - 128. Which is the third biggest value? (a) q (b) m (c) 1\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(0 - -3)*-4. Let z(v) = v**2. Let g be z(2). Calculate the highest common factor of g and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 831 = 4873. Calculate the greatest common factor of 230 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3412 + -1824. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51503 = -1526*f - 781*f - 181*f + 141071 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -28. Suppose 4*y + f*m + 464 = 0, -m - 340 = y + 2*y. Find the common denominator of 1042\/y + 24\/56 and -71\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3727873118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1279.\nAnswer: 383.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -714*r - 2030. Calculate a(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 2*g)*(0 + 2*g**2 + 0) - 58*g**3 + 16 + 44*g**3 - 3*g + 11*g**3.\nAnswer: -g**3 - 3*g + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (-1 + 0 - 1)*(1 + 0 + 1))*(-2 - 5 + 4)*(2*x**4 + 2*x**4 - 2*x**4).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2 - 0, -4*a - 37 = 3*i. Let u = i - -25. What is the remainder when 40 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 - 12*k**2 + 2*k**3 - k + 0*k**4 - k**4 + 3*k in the form s*k**3 + i*k**2 + d + w*k + g*k**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/15)\/((-1)\/(-5)). Let y = 20 + i. Calculate the remainder when y is divided by 22\/3 + (-8)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzmz when four letters picked without replacement from {p: 6, h: 3, z: 4, m: 1, k: 3, a: 2}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 27. Let n be z(-16). Suppose 190 = 12*d - n*d. Suppose -4*g + d = q - 1, 4*g - 3*q - 211 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20966 and 4.\nAnswer: 41932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2. Let v(i) be the second derivative of -9*i**3 - 3*i**2\/2 - 382*i. Determine v(c(n)).\nAnswer: -108*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l + 791 = -58*l. Suppose -l + 4743 = 19*t. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 3\/8, -0.4 in ascending order.\nAnswer: -0.4, 1\/5, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 7*q**3 - 6*q**2 - 15487*q + 15472*q + 5*q**2 - 9 = 0. Calculate q.\nAnswer: -3, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*s - 22. Let 4\/5*q**s + 2\/5*q + 0 + 2\/5*q**3 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26070783 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((16*g + 19*g - 32*g)*(1 + 3 - 1) - g - 1 + 1 - 3*g + 2*g + 2*g)*(0*g**2 - g**2 + 0*g**2).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -15711?\nAnswer: -156a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/42 + 74\/12. Let r = -0.27 - 0.03. Put r, g, -0.2 in descending order.\nAnswer: g, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296351 is divided by 26941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/365, -4\/21, -64, 0 in ascending order.\nAnswer: -64, -4\/21, -11\/365, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 10, 2*l - l - w + 1 = 0. Let i(n) = n**3 + 2*n**2 - 2*n - 2. Let j be i(l). Let y = 13 - j. Calculate the remainder when 52 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 410*q. Let u(j) = 3*j**2. Determine f(u(x)).\nAnswer: -18*x**4 - 1230*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = -8*x - 13376. Let w = x + 4600\/11. Let v = 0.13 + -0.05. What is the third biggest value in w, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1709*-0.0472\nAnswer: 0.10246648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 8 in increasing order.\nAnswer: -1, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-314 + 15771*w + 2*w**4 - w**3 - 15771*w)*((2 + 1 - 1)*(1 + 0 + 1) - 2 - 2 - 2) to z*w**3 + d*w + p*w**2 + b + m*w**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:27 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.33 - 12.3997. Let m = 14.7897 + j. Let r = -14 + m. Round r to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 2\/5 (c) -0.58 (d) -1 (e) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/6 + 664*r**2\/3 + 3111*r\/2 + 2670 = 0.\nAnswer: -4, -3, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 1. Let o(t) = -2*t**3 - 3*t**2 - t - 2. Let l be o(-2). Suppose 2*x + l*b = 34, -4*b + 8 = -0*b. Calculate the remainder when d is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659378 is divided by 779?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17723 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7203335549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222783 rounded to the nearest 10000?\nAnswer: 4220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1577 - 950929\/603. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 15*n + 406. What are the prime factors of n?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 20, -8 = 5*q - 2*i - 0*i. Suppose -5*r - 9 + 29 = q. Suppose -1 + r = y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/35)\/(9\/6)*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 16*a**2 - 11*a + 6. Let q(c) be the third derivative of -1\/6*c**3 + 0*c + 1\/12*c**4 - 1\/20*c**5 + 0 - 2*c**2. What is 2*p(h) + 11*q(h)?\nAnswer: 2*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 - -149. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9448*j**2*v - 594*v - 1 wrt j.\nAnswer: 18896*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6700.958 grams in micrograms?\nAnswer: 6700958000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 22 - 8 = -11*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-8)\/3)\/4)\/(6\/(-6057)). Suppose 0*t - 506 = -3*t + 4*g, 5*g = 4*t - r. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 4*j**2 - 49*j - 6. Let r(a) = 3*a**2 + 24*a + 2. Calculate -5*r(t) - 2*u(t).\nAnswer: -2*t**3 - 7*t**2 - 22*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10903.000286 to the nearest integer.\nAnswer: 10903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 12. Let y = o + 3. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681842 is divided by 1049?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 25 = 3*g, 0 = 4*i - 3*g + 3 - 34. Suppose -6*v + 19 = i. Suppose -c**2 + 7*c**2 - 4*c**2 + 2 + 0*c**v - 4*c = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5123*g**3*k**3 - g**3*k - 35*k**2 - 20 wrt k.\nAnswer: 30738*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 3, v: 1, i: 6, o: 7}. What is prob of sequence nqqo?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -23, -28, -35?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/18*3)\/(2\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536145 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -19. Let h = -2.4 + 2. Let v be ((-10)\/(-15))\/(8\/18). Which is the nearest to v? (a) -0.1 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {a: 2, c: 4, z: 2, u: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 - 5 - 10 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31770, -66554, -101338?\n\"Answer: -34784*i + 3014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5\/12, -10, -29598, -0.5?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4994 and 1468463?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 100*m**2 + 221*m - 12062. Determine q(99).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 y when three letters picked without replacement from yhdyyhyv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/8, 0.06 in descending order.\nAnswer: 1\/4, 0.06, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 362437 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:34 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -0.104753.\nAnswer: 0.838024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 - 3*f**3 - 8*f**2 - 2*f**3 + 3*f**2 - 3*f**2 + (0 + 0 - 4*f)*(-25*f**2 - 11*f**2 - f**2).\nAnswer: 143*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-23\/5)*t)\/t**32 assuming t is positive.\nAnswer: t**(-178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -217.72 and 4.\nAnswer: -870.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/5*5 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or -8045?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (-11 - (5 - (6 - -7))) - (6 + 0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*x + 2*v - 3, 2 = 2*x + 3*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 10) in base 9?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-40))\/((-1)\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-6 + -2 - -2) + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.50000128 - 5.5. Round h to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -196d - -293?\nAnswer: -16ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 6:51 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*w - 4 = -13, -4*f - 3*w + 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -917.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7 - 9 = -2*i, u - 11 = -5*i. Suppose i*f = -2*w + 368, 188 = f + 12*w - 7*w. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 2061.\nAnswer: -6183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-63) - (-33)\/24.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (70\/(-3))\/(-1 - 6\/(-9)). Suppose 0 = -6*y - y + g. Suppose -z + y = -3*k + 2*k, 3*z = 2*k + 31. Solve 3*l = -j + 14, 0 = 5*l + 5*j - z - 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11\/n**(-1\/4))\/(n**(-7)\/(((n*n**(-2\/27))\/n*n)\/n)) assuming n is positive.\nAnswer: n**(1963\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1288555158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 3*k)*((k**3 + 3*k**3 + k**3)*(-5 + 5 - 2*k) + 3*k**4 - 4*k**4 + 4*k**4).\nAnswer: 21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 5, -16, -45, -82?\n\"Answer: -4*f**2 - f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 982.06 - 969. Let o = g - 13. Let s = -4.06 + o. What is the biggest value in -1, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/10*1*(-11 + -1). Solve -3*n + s + h = 2*n, 2*s = 5*n - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4 - 91. Let f = 21 + d. What is the second derivative of h - 2*h - 4*h + 20*h**f - 3*h wrt h?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)*3 + sqrt(132) - (sqrt(132) - -6*(sqrt(132) - sqrt(132)*2)))\/(1*5*sqrt(108)\/(sqrt(144) - sqrt(9))).\nAnswer: -27*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 14332?\nAnswer: 14353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 1 = w, -p = -5*p - 3*w + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 102. Let g(f) = -x + 84 + 4*f. Let w(o) = -o**2. Give g(w(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46758892 is divided by 457?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxxuuuupuuxu. What is prob of sequence xu?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -74269, -74272, -74277, -74284, -74293, -74304, -74317?\n\"Answer: -r**2 - 74268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954861 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**2 - 4*h - 9. Let b(x) = x**2 + x + 1. Calculate 6*b(u) + c(u).\nAnswer: -3*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2132, 2170, 2292, 2528, 2908, 3462, 4220?\nAnswer: 5212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p**2 - 4*p**3 - p**2 - 19*p - 5*p + 8*p = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -26*b - 1. Let k(i) = 130*i + 6. What is -2*k(h) - 11*s(h)?\nAnswer: 26*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/218576 and 43\/11365952.\nAnswer: 11365952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 42 + 2 + -23 - (-22 + -12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 16 + (-2 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = -228. Calculate the remainder when v is divided by 198\/(-54) + (-128)\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -143, -230, -317?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*s**2 + 4 + 1 to t*s**2 + l + u*s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294\/5 - 59. Let u = 13 + -8. What is the smallest value in u, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0 + 1\/30*d**5 + 4*d**2 + 1\/24*d**6 + 0*d**3 + 0*d**4 + 0*d. What is the third derivative of k(x) wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -8. Suppose 5*g - f = 4*r - r, 2*g + 4 = 4*r. Suppose 0 = r*z + n - 88, 3*n + 6 + 9 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 267630725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68)*-2*4)\/sqrt(4).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/15 + r**5\/12 - 4*r**2. Find the third derivative of u(h) wrt h.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4, -0.47, -0.2, -0.23?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 1\/5, 0.32652 in decreasing order.\nAnswer: 184, 0.32652, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 3a?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4999344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6601267l to millilitres.\nAnswer: 660.1267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1, -3, 3, 3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22 - (2\/(-13) - 370\/130). Let t(a) = a**2 - 21*a + 5. Let f be t(21). Solve 10*j - n = -f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -32*f**2 - 2*f - 44. Let o(d) = 318*d**2 + 21*d + 441. Let p = -181 + 244. Let u(z) = p*y(z) + 6*o(z). Differentiate u(q) with respect to q.\nAnswer: -216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 988944 and 22.\nAnswer: 988944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*q + 5, 0 = 5*r + 2*q + 6398 - 6369 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-21)*460\/345.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 821735, 821677, 821603, 821507, 821383, 821225, 821027?\nAnswer: 820783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, c: 6, r: 5, p: 3, z: 1}. Give prob of picking 1 c and 3 p.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29569? (a) -2 (b) -2\/9 (c) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (37 - (-6 + 33))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o**2 - 2*o**2)*(-413 - 54*o - 16*o + 69*o).\nAnswer: -3*o**3 - 1239*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/2 - (-205 - (-168 + -89))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(-1\/12))*a*a\/(a*a*a**(6\/7)*a))\/((a*((a*a**(2\/11))\/a)\/a*a)\/a**(3\/10)))**14 assuming a is positive.\nAnswer: a**(-16889\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -17*y - 26. Let b(n) = 2*n. What is -6*b(u) - z(u)?\nAnswer: 5*u + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 17. Suppose w = 3*t - 38, -2*t = t - k*w - 22. Suppose 2 + t = 4*b, -4 = 2*a - 3*b. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2039 divide 62235394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-24)*((-303)\/9 + (-72 - -67)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -649.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9256083047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 43. What is the smallest value in 1\/2, a, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658 and 31114.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95 - (-183183)\/1925)\/(2\/(-9) + 32\/(-180)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36861738517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 232779 divided by 3?\nAnswer: 77593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119136, -119137, -119138, -119139, -119140?\n\"Answer: -c - 119135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -40, -50, -56, -58, -56?\n\"Answer: 2*z**2 - 20*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37167437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663 (base 12) to base 3.\nAnswer: 1021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 129 = 5*s, 12*y = 16*y - 3*s - 193. Calculate the greatest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 15 = 7*v. Let w = v + 7. Let t = 18995 - 18993. Solve -3*x = w*m - 4*x - 2, -t*m - 4*x = -10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*v + 3*v, 0 = 2*b + 2*v - 4. Let a(c) = c**2 - 4*c + 2. Let l be a(4). Suppose 3*d - 6 = 3. Solve -d*i = -5*w + 2*i, 2*i - b = -l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 63. Calculate the smallest common multiple of 18 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from jkkjkjkzgmjkkgzjjj?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6825 = -105*y - 214*y - 206*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*(3 + 1 + sqrt(3) + sqrt(75)*-1)*-2)**2.\nAnswer: -3200*sqrt(3) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22948, 22942, 22936, 22930?\n\"Answer: -6*g + 22954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.5353 + -0.4647. Which is smaller: -149 or y?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 + 25616 + 3*c - 25611 + 28*c**3 + c to the form g*c**2 + h*c**3 + f*c + o and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/195 and 77\/9914580.\nAnswer: 9914580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 258\/9 + 2\/6. Let z = 46 - k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 7. Let r(o) = 21*o**3 - 1. Let g be r(q). Suppose l = 5*l - g. Solve l*p - u + 23 = 0, u + 1 = -0*p - p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:01 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6586*i**2*z**4 + 128*i**2 + 51*i - 2*z + 1 with respect to z.\nAnswer: 26344*i**2*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -162, 0.5, -2, 2?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -34, 1, -8400 in decreasing order.\nAnswer: 5, 1, -5, -34, -8400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 475932 - 198226. Let x = u - 192907. Suppose x - 9799 = -y. What is y rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535092533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5150508 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 a when four letters picked without replacement from {g: 1, a: 2, o: 7}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352971?\nAnswer: 3, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -a - 21, 2*w - 3 - 3 = -4*a. Calculate the smallest common multiple of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-1 - -5)) + (3 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -78638 and -78631 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*b - 7*b**2 + 54*b - b**3)*(18981*b - 9581*b - 9518*b).\nAnswer: 118*b**4 + 826*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8225675 or -8225691?\nAnswer: -8225675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 1. Determine k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 2*l + l - 2 + 2 + l + 0 + 0 + l + (0 - 1 + 2)*(-2*l + 5*l - 5*l) - 2*l + 0*l + l - 2*l + 3*l + 5*l - 7*l - 6*l - l to o*l + w and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 614*w**2\/5 + 2468*w\/5 + 2472\/5.\nAnswer: -(w - 618)*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167312.\nAnswer: 2, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r - 810849 = 356251. Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18 and -71\/16008.\nAnswer: 48024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-27))\/(i\/i**(-17))*(i\/(i**31*i))**32 assuming i is positive.\nAnswer: i**(-1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 3312*h**3 + 1351024*h**2 + 16786752*h - 38951136 = 0. Calculate h.\nAnswer: -14, 2, 834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-368)\/70 + (-6)\/(-15) and -1 - ((-36)\/110)\/((-1)\/(-15)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-36)\/540*90\/(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59592293*h*l**2 + 43*h + 864033*l wrt l?\nAnswer: -119184586*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -65303*l - 1110275. Calculate h(-17).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 2, -0.1 in decreasing order.\nAnswer: 140, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (26\/12)\/(1105\/(-6630))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -14*k + 23. Let r(c) = 46 + 3*c + 2*c - 54. Suppose 0 = m - w - 8, 3*m + w + 4*w = -8. What is m*x(d) + 11*r(d)?\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(c - 5 + 5)*(1 + 1 + 0) as g*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19281 at most as big as 10689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s = 78*s - 18722. Calculate the remainder when 4261 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + -34 + 31 + -1 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36202380.99 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 6. Is 2 a factor of h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/8 of a day?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p + 6*p - 2 + 4. Let f be l(-3). Calculate the highest common divisor of 80 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -266 (b) 0 (c) 14.9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*n + 14. Let x be 8\/20*(n + 2). Is (x\/(-6))\/((-6)\/2682) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2797275 divided by -13.\nAnswer: -215175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + -51 + 18 + 55?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*g - 4*g - 2340. Suppose 2*n + 266 = 8. Let z = g - n. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2 and (24\/(-7200))\/((-8)\/(-138)).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.029 and -18843562.3381.\nAnswer: -18843562.3671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v**2 + v + 1. Let u(j) = j**2 - 7*j - 7. Let k be u(8). Let o(b) = 8*b**3 + 7*b**2 + 4*b + 6. What is k*o(f) - 6*r(f)?\nAnswer: 2*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - g - g)*(-42*g - 3*g - 4*g + (g - g + 2*g)*(4 - 2 + 2)) in the form z*g + t + j*g**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + d - 4*d + (3*d + 5*d + 3*d)*(3 - 1 - 1))*(-1 - 3*d + 1) to the form b + j*d + h*d**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/((-1)\/6). Suppose 3*m = y*m - 23. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.8 - 26.7. Sort -0.5, -20, h in increasing order.\nAnswer: -20, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = 0, 0 = -5*n + l - 13 + 3. Sort 5, n, 3 in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 7 - 1) + (16 - (14 + 19) - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*10 + -36 + 35. Solve -2*r + 2*x = r + 2, -2*x + 6 = -g*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15926428 rounded to four dps?\nAnswer: 0.1593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 3*b**2 + 7*b - 12. Calculate i(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12464 is divided by 762.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebceeebbpjejbvjjce. What is prob of sequence vcjj?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.243, 12, 2\/11, 2744?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*p - 259*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)\/(40\/(-500) - 511\/175). Let q = -8.7 + -1.3. What is the third smallest value in -5, q, -4\/3, v?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -16. Let b be 0 + (-8)\/(-4) + -6. Let y(l) = 4*l**2 - 5*l. Let t be y(b). Calculate the highest common factor of m and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 2*k - k - k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5329900 + 0.4?\nAnswer: 5329900.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -x - 3*x + 20, 4*a = -4*x + 16. Let z = -3 + x. Solve p + z = -0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (3936\/(-80))\/(-6 + (-8037)\/(-1340))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193469232 to the nearest integer?\nAnswer: 13909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2, -1, -13 in descending order.\nAnswer: -1, -2, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1585 (base 9) to base 14.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 147277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 171029466 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 307.\nAnswer: -5\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 5*s + 384 = 0, 0 = -3*y - 3*s + 1152. Let l be (25000\/(-24))\/((-2)\/y). What is l rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1338\/12913 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*r, -16 = -r - 3*r. Suppose -v*f + 14 + 10 = 0. Let j(y) be the first derivative of -y**3\/3 + 2*y**2 + 8*y + 5. Calculate j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -7. Suppose -3020 = -44*p + 1204. Calculate the remainder when p is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 + 20*v\/7 + 24\/7.\nAnswer: 4*(v + 2)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r + 9 = 0. Suppose g = -0*g - r. Let u = 11 - g. What is the remainder when 41 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**31)\/(c\/(c*c\/((c**26*c)\/c)*c))*((c\/((c*(c**(7\/3)\/c)\/c)\/c))\/c)**15 assuming c is positive.\nAnswer: c**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5920? (a) -1\/6 (b) -5\/9 (c) -0.3 (d) -0.1 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 935700445 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 0*n + 7 + 17*n - 4*n + n**2 - 5*n - 6*n. Let d(g) = -g**2 - 2*g - 6. Calculate 7*d(w) + 6*i(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88257 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 4 in ascending order.\nAnswer: -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {o: 1, s: 1, x: 5, l: 2, k: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.3 (c) 2\/43 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 9 = -o, -4*m = 5*o - 21. Suppose k - o = -0*k. Let f be (-4)\/10 - 8\/(-10). Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -278771.9261 + 278792. Round m to one decimal place.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-5\/6)*m*m*m)\/m**(-10\/3))**(-22) assuming m is positive.\nAnswer: m**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 453?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1752 - 1272. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)*n)\/(n*n\/n**(-3\/4)) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 47620 divided by -3\nAnswer: -47620\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5957 + -542095\/91. Calculate the common denominator of 17\/13 and d.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.97 - -1. Let t = l + -0.0300008. What is t rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rlllrrr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 4*y**2 + 2*y - 5. Suppose o + 15 = 6*o. Suppose 0*q = 5*g - 5*q - 25, -o = 3*q. Give u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 12*f. Let l be a(-12). Let t(j) be the third derivative of -1\/66*j**4 + 0 - 1\/330*j**5 + j**2 - 1\/33*j**3 + l*j. Suppose t(i) = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19, -70\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4361300938 to the nearest integer?\nAnswer: 66040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 47. Let m be v(-12). Solve -13*f - m*f = -72 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - 352167871.\nAnswer: -352167855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -63. Let t(m) = -m**4 - 2*m**3 + m**2 + 1. Let r(y) = 8*y**3 - 4*y - 2. Let z(s) = o*t(s) - r(s). Factor z(i).\nAnswer: 2*i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -92. Suppose 3*w + f - 7 + u = 0, 2*f = 3*w + 14. Let h be (-4 + 1)\/(w\/20 + 1). Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919787538?\nAnswer: 2, 959893769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155804456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2. Let h(l) = l**3 + 3*l**2. Calculate 12*f(m) - 4*h(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10904821151\/960974568 + 6766\/199207. Let p = -4\/603 + s. Let m = 2142\/13 - 68661\/416. Find the common denominator of p and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31241?\nAnswer: 7, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -i - 1, 5 = d - 3*i + 7*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 9.9. Let g = -8.03266 + 0.03266. What is the second smallest value in 0.2, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + p + 868 = 0, 0 = 2*t - 3*p - 547 + 123. Let o = -151 + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1502, -1082, -370, 634, 1930, 3518, 5398?\nAnswer: 7570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 37*m**2 - 2342*m - 83097. Give r(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011010111001 + -1?\nAnswer: -1101011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 2*m - 75, -m = -3*x + 245. Let l = x - 76. Solve 3*y + 5*j = l*y - 27, j + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133223 + 3000?\nAnswer: -130223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6248 and 10934.\nAnswer: 43736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 510179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 724\/5249*(-116)\/(-8). Solve 60 = -y*j + 44 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 78\/(-30))\/((-2)\/(-10)). Let x(l) = 323*l**2 - 305*l**2 + v*l - 7*l. Let m(h) = -2*h**2. What is m(x(i))?\nAnswer: -648*i**4 + 288*i**3 - 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 13. Let m be k(-9). Let j = -1 + m. Suppose -j*d = 3*c, -3*c + 6 = -4*d - 1. Which is smaller: c or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3399 in -3, -1, 13, -1\/4, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 - p + 23. Suppose 0 = 3*n - 16 + 1. Suppose -b - 1 = 5*z, n - 3 = -3*z - 2*b. Calculate the remainder when o(z) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 3*u**2 - 42 + u**2 - 4*u**2.\nAnswer: 2*u**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z, 4*d - z = 5*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65160 and 258830.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)\/((l**(5\/4)*l*l)\/l))**3*(((l**4\/l*l)\/l)\/l*l*l*l**(-9))**(25\/2) assuming l is positive.\nAnswer: l**(-1361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1124052 - -5?\nAnswer: 1124101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 60*f**2 + 376*f + 266. What is q(-53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6) + -14*2\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 10*l**2 - l + 13. Let a be r(10). Suppose -2*s + a*m + 4 = 0, m = 2*s - 3*m - 4. Suppose 0 = -s*x - x + 69. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + 0.6. Let v = 1.12 + -1.02. Which is the closest to v? (a) -2 (b) 11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 232, 460, 770, 1168, 1660?\nAnswer: 2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -352*b - 61. Let g be v(-9). What is the highest common divisor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2789 is divided by 369.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 11:57 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 565 - 1825. What is the common denominator of 8217\/o - 8\/(-14) and (-201)\/(-9)*(-9)\/(-24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 38*x**3 - 5*x**2 - 3*x + 1. Calculate o(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 16 + 7 - 8 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b - 2*b**2)*(-b + 5*b - 3*b) - 35*b**2 + 35*b**2 + 20*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2698 - -6297. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212\/7317 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 23*v = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*s**5 - 1501*s**4 + 13*s**2 + 4516051*s wrt s.\nAnswer: -180*s**3 - 18012*s**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1862*b**3*o**3 + 1230*b**3*o**2*s**3 - 86*b**2*o**3*s**2 + b*o**3*s**2 - 16*o**3 - 5*o*s**3 + 4*o*s wrt b.\nAnswer: 11172*o**3 + 7380*o**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 38*l**2 - 35*l - 1087. Determine s(-13).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.81 + 0.19. What is the nearest to -1 in g, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/14*(-2)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 28. Suppose l*t - 35*t = 3. Let r(p) = -p**3 + 3*p. Give r(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*p + 3*q - 42, -2*p + 24 = -5*q. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 5) + 2 - 0. What is the closest to 0.1 in -2\/5, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51787404.\nAnswer: 2, 3, 479513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66229098 a multiple of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) + 36\/(-198). Suppose -5*l = -2*z - 2*z - 9605, -3*z + 2*l - 7202 = u. What is z rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/19)*b\/b**(-7\/5)*((b**(-1)*b)\/b*b*b)**(-33))**23)**(3\/22) assuming b is positive.\nAnswer: b**(-97359\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2 + 14*h - 9. Let j = 19 - 10. Let n(f) = 3*f**2 - 7*f + 4. Let d(m) = j*n(m) + 4*s(m). What is the second derivative of d(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.3, -2, -1977, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -4.9. Let z = 26967 + -26967. What is the closest to z in 5, 0.2, p, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 44 = -0*f. Suppose -30 = -5*o - 0*o. Let s = o + f. Which is the closest to -0.2? (a) 4 (b) s (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8696355623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704 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: Let b = 2 - 0. Let w(h) = -20*h - 848. Let j be w(-43). Solve 3*m - i + j = 2, 0 = -b*m + 5*i - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeuuouquueeuhqequeoe. What is prob of sequence oehq?\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 9*j**2 + j - 6. Let m be h(9). Let r(c) = 3*c**2 + c**2 + 545 - 546 + c - c**m. Calculate r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 215\/9. Suppose -2 = 2*m, -385 = -4*u - 4*m + 463. Let o = -427\/2 + u. Which is the nearest to o? (a) t (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -346*m**3 + 696*m**2 - 354*m + 4.\nAnswer: -2*(m - 1)**2*(173*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 15*p**2 - 15*p - 16. Let s be t(16). Suppose 18*d - 16*d = s. What is the second derivative of -h**4 - 3*h + d*h + h - 7*h wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/262999170 and -113\/120.\nAnswer: 1051996680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 8. Solve -m + 0 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) + 48\/27. Suppose 0 = -p*m - 0*m + 14. Suppose 2*u = -10*f + 1100, 4*u = 35*f - 31*f - 488. What is the highest common factor of f and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24100.8 != -0.127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1242222 or 1242228?\nAnswer: 1242222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738929 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 17.6. Let a = -22.4 - w. Let u = -32.6 - a. What is u rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 5*q**2 + 2. Let u be s(-5). Suppose -3 = -3*f - 4*a + 2, -2*a = u*f - 4. Suppose g - 40 = h, 4*g + f*h - 234 + 81 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2509 - -2504. Suppose 2*c + 4 = 2. Let m be 1*((-3)\/c - 0). Sort f, m, -4 in ascending order.\nAnswer: f, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/995 - 7953\/6965. What is the second biggest value in -0.5, 0.5, -3, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b + 50 = -131*b - 110 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 67. Let q be -4*49\/28 - u. Which is smaller: q or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -4)*2\/2. Suppose u*c - 4 = -0*c. Let b(w) = -2 + c - w + 0*w. Determine b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-10)*(15 - 1445\/102)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.143, 1\/7, 3, 3\/2, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6*w - 28. Calculate the least common multiple of 2\/15*27 - (-10)\/25 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Let a = 4 - 4. Let x(i) = 0*i + 0*i + i**2 + a*i. Determine x(z(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754 divided by 6?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 17*k**3 - 4*k**2 + 45*k - 25. What are the prime factors of y(7)?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19199 + 19199.0199505. Let m = -0.0202 + d. What is m rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -529*l**3 + 7*l. Let o be b(-1). Let n = 6107 - o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**2 + o + 2*o**2 - 3*o)*(-61*o**2 + 269*o**2 - 481*o**2 + (o - o + 2*o**2)*(1 - 3 + 1)) to i*o**3 + s + j*o + u*o**2 + b*o**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-784)\/980 + (-3)\/(-10)) - (-567)\/(-77)?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1*1\/2). Suppose -v + 4 = x. Sort x, -4, 4.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6*1965\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8591726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.4, 2\/685, -2\/7, 0.7 in decreasing order.\nAnswer: 12.4, 0.7, 2\/685, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/372, 5, -1.1, 4, -0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -26*d + 2. Let a be o(-3). Suppose -4*q - a = 4*n, 5*q + 2*n = -65 - 38. Is (0 + q\/(-3))*19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/3))\/f)\/f*f)**(-30)*(f**(-1\/2)*f)\/f**(-2) assuming f is positive.\nAnswer: f**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhh when three letters picked without replacement from hfhhfhh.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/sqrt(36) + sqrt(19) - (sqrt(19) + sqrt(19)*-2 + -2).\nAnswer: 2 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 301.88 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -433\/2 + 216. What is the nearest to -0.02 in -4, -3\/2, -5\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-55)\/(-10))*3*92\/(-69)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6160 and 5544?\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Find the third derivative of -7*w**5 + 8*w**5 - w**y + 0*w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**2 - 1024*t - 308. Give k(114).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3440513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*c - 93*c - 5686 + c**3 + 2*c**2 + 5682 - 128*c - 2*c to l*c**3 + i + o*c**2 + h*c and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649406 is divided by 155?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-24)*(-12)\/3. Let c(i) = i**3 - 7*i**2 - 8*i + 3. Let t(w) = w**3 - 6*w**2 - 7*w + 2. Let s(f) = 5*c(f) - 6*t(f). Calculate s(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let j = 0.8 + s. Let z = j - -0.3. Round z to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922*h**3 + 462*h**3 + 461*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/15 - (-10)\/6)*-47. Let m = -50 - y. Let u(h) = -h**2 - 6*h - 1. Let s be u(-5). What is the biggest value in s, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/9427090 and 13\/495.\nAnswer: 933281910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/20*(12 - -43). Solve 2 = -4*l + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*v - 18744 - 313486, -4*v + 2*p + 221492 = 0. List the prime factors of v.\nAnswer: 17, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*v - 219*v + 631*v - 211*v + 221*v**3 + 2.\nAnswer: 221*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 34, 66, 100, 130, 150?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Let l be (15\/(-6))\/(z + 2). What is the second biggest value in 3, 4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595658 > 1595659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 - 2672*p**4 - 124408*p**3 - 11935949*p**2 + 12*p wrt p?\nAnswer: 60*p**2 - 64128*p - 746448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = 23*m + 12012. Does 44 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1425\nAnswer: 8\/1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l - 3*l + 2*l)*(1 + 2*l - 1) + 3*l**2 + 0*l**2 - 2*l**2)*(4 + 1 - 3).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 7*k - 4. Suppose 5*v = b - 12, 0 = 5*b + v - 2*v + 36. Let h be w(b). Suppose g**4 - 4*g**4 + h*g**4 - g**3 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38c43 (base 13) in base 14?\nAnswer: 2a566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 + -19 + 14 + (-804)\/(-2).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 405 - 333. Calculate the highest common divisor of 360 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 2*q)*(-q + 6 - q - 1).\nAnswer: 2*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.45 + -1. Let x = s + -0.05. What is the closest to -0.1 in -0.3, x, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r + 39*r + 31*r = 208840. Is r a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9728 + -6773. Suppose 0 = 6*a - 9*a + z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3912601, 3912598, 3912595, 3912592, 3912589?\n\"Answer: -3*t + 3912604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 2:48 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - 8*m**2 - 7*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 44.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.521 and -0.739483.\nAnswer: -0.218483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and ((-526)\/10 - -3)*4545\/(-202).\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.282 minus 0.014?\nAnswer: -315.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - -88. Let y = 9757511942 - 9757511841.99999919. Let i = y - v. What is i rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlyjy. What is prob of picking 2 l and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*-1 + sqrt(210))\/sqrt(7))\/(sqrt(10) - (sqrt(10) + sqrt(160)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*u - 136 = 236 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s - 7, 0 = 4*x + 4*s. Let f be (0*(-2)\/(-4))\/1. Suppose -5*v + 4*v = f. Solve y - p = v, -15 = y + 2*y + x*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 57. Suppose 9*j + 3*u = 4*j + 13, -5*j - 5*u + 5 = x. Suppose -4*h + 9*h = -2*k + 15, 4*h = -j*k + 12. What is the biggest value in k, -3, -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 20. Let u be t(7). What is the remainder when 52 + (-8 + u)\/(-3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.576539 to the nearest integer.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 17425*c + 104495. Give v(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 4. Let d(w) = 67*w**2 + 88*w - 16. Let g(z) = 4*b(z) + d(z). Find the second derivative of g(n) wrt n.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-738)\/(-1025))\/((-351)\/(-5460)).\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*51\/(-72) - 2. Which is the nearest to 2\/7? (a) 3 (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g + 4*g + 0*g - 3*g**2)*(360*g**2 + 1848 - 1848) to l*g**3 + n*g**4 + f*g**2 + b*g + t and give l.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/13 (b) 2\/13 (c) -37552\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 9:24 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = -61*a + 97*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.5 - -21. Let a = p + 32.5. Let c = -28.0000105 + a. What is c rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from jtnttjjjtj.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*l**4 - 100*l**3 - 456*l**2 - 816*l - 512 = 0. What is l?\nAnswer: -32\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -67. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**3 + 170*s**2 - 993*s - 6908. Give c(-47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgg when three letters picked without replacement from uifyggfugu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {z: 1, i: 1, n: 3, h: 4, e: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 199, -2, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(132)\/(sqrt(48)\/sqrt(4)) - 3*sqrt(11)*4) + -3.\nAnswer: -11*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25321193 divided by -25321193?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1813628*d - d**2 - 1813628*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78521000 rounded to the nearest one hundred thousand?\nAnswer: -78500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2 - 2)*(-t + t + 3*t) - 2*t**2 + t**2 - 6*t**2.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.56464 to 2 dps.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**5\/5 - 80*r**4 - 11716*r**3\/5 - 17160*r**2 = 0?\nAnswer: -50, -39, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 62. Let q(h) be the second derivative of h**3\/6 - 2*h - 27. What is o(q(c))?\nAnswer: c + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1)*(2 - 11)\/(-72)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -39*(-2)\/6*-3. Let k be 116\/6 + (-26)\/u. Let i = 36 - k. Solve 5*x - 6 + i = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9543.765km?\nAnswer: 9543765000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-3*c + 4*c - 3*c) - c - 2 + 2.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -1012, -2508, -4618, -7348, -10704, -14692, -19318?\nAnswer: -24588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3456 - -3510. Calculate the greatest common factor of 62 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, 0.3, 12, -436, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-66 - -58 - (0 + -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41\/1620 - -7\/324. Is t <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 3:45 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102394023*n + 5*n**2 + 102394023*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*x = 493 + 164. Let r(v) = v - 9. Let t(o) = -3*o + 19. Give x*t(a) - 7*r(a).\nAnswer: 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5104333 (base 8) to base 2\nAnswer: -101001000100011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 4*a**4 - 1 + 7 - 6*a**2 + 2*a**3 - 3*a**4 in the form h*a + y*a**3 + q*a**4 + w + l*a**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2 + 115*b - 588. Give h(-16).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 33?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3481 - 3054.4. What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117*i**3 + 1275*i**3 + 711*i**3 - 364*i**2 - 612*i**2 wrt i.\nAnswer: 11214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13100\/18340 + (-20)\/(-14)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooj. Give prob of picking 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.99999934 + -13. Round k to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2\/7 - 16816*x\/7 - 17673616\/7 = 0 for x.\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-92)\/24*(-6)\/(-4). Let z = r + 6. Put z, 0.2, -0.4 in increasing order.\nAnswer: -0.4, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (sqrt(15)\/(sqrt(3) - (1*sqrt(3) - sqrt(3))) - (4 + (sqrt(5) - (sqrt(5) + 1))))**2 + (-4*sqrt(5)*2 - 5*sqrt(5)*-2)).\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 4. Let z(n) = 3*n + 8. Let d(q) = -11*x(q) + 6*z(q). Let p(w) = -4*w - 2. Give -3*d(t) - 5*p(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1191, 5, -5, -131 in decreasing order.\nAnswer: 5, -5, -131, -1191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 - -174. Calculate the greatest common factor of 644 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -58. Suppose 0 = -6*a - d*a - 88. Put a, -232, 3 in decreasing order.\nAnswer: 3, a, -232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 22. Suppose 3*l + 11*l = -84. What is the least common multiple of f(l) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - 13. Calculate the remainder when 19 is divided by (-140)\/(-18) + (-12)\/w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12360957*a**3 - 3309243*a**2 + 4*a wrt a.\nAnswer: 74165742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21033529.8012 and 0.9?\nAnswer: 21033530.7012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 2, -5 in increasing order.\nAnswer: -5, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 283 - 568 + l + 274. What is a(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 4*f**2 + f - 29 to w + r*f**2 + o*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -387*a**2*q**3*v*x**2 - 2*a**2*q**2*x**2 - 6*a*q**3*x**2 + 32*a*x**2 + 2*q*v*x**2 wrt v.\nAnswer: -387*a**2*q**3*x**2 + 2*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(4)*6)\/(sqrt(50)*-4) + 5.\nAnswer: -3*sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + 75)\/(-16) + 5. Let a = -2 - -5. Suppose u = -t*u + a. What is the highest common divisor of u and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by (-2 + (-70)\/6)*-3?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9*p + 726 = 0. Let o be (2 + 4)*(-16)\/6. Let q = o + 60. Calculate the greatest common factor of p and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - (-47 + 21 + -107)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -112 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let k = -66 - -65. What is the nearest to k in 2\/3, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*v + 2*w, 0 = -3*v - 5*w - 1914 + 1921 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Let s(b) be the second derivative of 0*b**4 - b - 1\/20*b**h + 0*b**3 + b**2 + 0. Differentiate s(u) with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -3.5. Let p = -113 + 793\/7. Which is the closest to p? (a) -1 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -84.547?\nAnswer: -42.2735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -79. Suppose m*k + 0 - 8 = -i, -6 = -i - 2*k. Suppose 0 = -2*l + 6*l + 5*p - 27, -9 = i*l - 5*p. Is l at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/196 and 107\/205212.\nAnswer: 205212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 4. Let y(d) = 3*d - 3. Let w(v) = -4*l(v) + 5*y(v). Suppose 3*j = -0*j. Give w(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 3\/4, -18\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 5 + 5 - c**2 + c**2 + 2*c**3 + (2*c**2 + 0 + 0)*(c - 3*c + 4*c) + c**2 - c**2 + 3*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -1)*-6)**2 + 5.\nAnswer: -792*sqrt(7) + 30533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/17)*w**(-1\/9) assuming w is positive.\nAnswer: w**(1\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201 (base 4) in base 14?\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5304851.\nAnswer: 5304851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/2 - 1906*m**3\/3 + 1490. Determine y so that w(y) = 0.\nAnswer: 0, 953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-13 + 2) - (26 + -22). Let x(b) = 2*b + 3*b - 2*b + 0*b. List the prime factors of x(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141900\/30030 + (-2)\/13?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16675 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 315*f + 546241 - 546241 + 315*f - 4*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669 + 13*u**3 + 33012*u**2 + 669 + 11*u**3 + 32894*u**2 - 65906*u**2.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/3)*i**(-2\/5))**(-11)*(i**(-5\/4)*i*i*i**(-6\/5))**(-25\/4) assuming i is positive.\nAnswer: i**(-1789\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 187669289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2 + 779 - 2*c**2 + 5*c**2 + 8*c**2 - 136. Let u(o) = -o. What is u(w(g))?\nAnswer: -3*g**2 - 643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33448840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2205 = 3535. Let f = o + -1382. Does 11 divide (-4)\/(-6)*3 + f\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**3 + 7\/20*y**5 + 1\/2*y**2 + 0 - 1\/6*y**4 - y. Let q be ((-10)\/(-180))\/(4\/(-72)). Calculate s(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -6. Let k = 86.1 + -86. What is the closest to 2\/5 in 5, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 946, 1166, 1386, 1606, 1826?\n\"Answer: 220*m + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + 375\/4. Suppose m - 3*m + 44 = 3*f, -3*f + d = 4*m. Solve 3*j - 3*p + 4*p = -5, 0 = 3*j - 5*p - m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(6\/13)*b\/(b\/b**(9\/7)))\/(b\/(b\/(((b*b**(-12))\/b*b)\/b*b*b*b)))**(-47))**(-17) assuming b is positive.\nAnswer: b**(651678\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171291*o*w**5 - 3209*o*w + 6*w + 1 wrt w?\nAnswer: -3425820*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 918 + -380?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 51 - (78 - 85).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12246167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286512*a*b*c*y + 34*a*b*c - 110*a*b - 1115*a + 18*c*y + 685*y wrt c.\nAnswer: 286512*a*b*y + 34*a*b + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(10 - -72). Let w be (3 + g\/15)*6\/4. Which is the smallest value? (a) 0.3 (b) w (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**4 + 17*h**3 - 124*h**2.\nAnswer: -144*h + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.76487km in centimeters?\nAnswer: 4276487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 479*j - 351. What are the prime factors of l(13)?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1320)\/(-36))\/(-22))\/(11*(-115)\/5313).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -21. Suppose -l = 2*r + q*l - 2, 3*r = -l + 10. Let d(o) = o**3 - 4*o**2 + o + 1. Give d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 - 476968*s\/9 - 10971322\/9.\nAnswer: 2*(s - 238507)*(s + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -52*k + 436. Calculate the remainder when 37 is divided by d(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 10*p**2 - 20*p + 40.\nAnswer: 5*(p - 2)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.81 * 0.15.\nAnswer: 0.7215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 192 - 708. Suppose -26*r + g = -20*r. Solve -h = -4*i - 22, -3*h + 5*i + r = 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q - 1)*(q - 5*q - q) + (5*q**2 - q**2 + 2*q**2)*(0 - 3 - 2) + (3 - 1 + 0)*(2 - 2*q**2 - 2) + 3 - q**2 - q - 3.\nAnswer: -45*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14816 - -14816.0055416. Round u to four decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/21756?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75\/14 + 11\/2. Let g = -140.48 + 137.48. Sort -0.09, c, g.\nAnswer: g, -0.09, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4008 = 3*o + 5*z, 6650 = 5*o - z. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 32*h**2 - 88*h + 46. Let b be m(29). Suppose b*k = 260324 + 78197. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*r + 2 - 2 + r + 1 + 2*r - 1 + (-3 - 3 + 5)*(2*r - 3 + 3) + 3*r - 2 + 2 - 4*r + r + 9*r as m + j*r and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650761 is divided by 216082?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 3*h**2 + 6*h - 3. Give p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44242 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 4*j**3 + 0*j**3)*(1 - 1 - j) - 2*j**2 + 2*j**2 - 6*j**4.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9564898 divided by -1337.\nAnswer: 7154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -4735, 5 in descending order.\nAnswer: 70, 5, -4735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -168247 equal to -168213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2, 6, 1, -5 in increasing order.\nAnswer: -29, -5, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((11\/22)\/((-1)\/(-12))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3940 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04 to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 825266807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1514 - 4*c**3 - 1514.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*w - 697, 4*l = -5*w - 0*l - 1164. Let n = -228 - w. Solve h - 10 = 3*h + m, -n*m = 3*h + 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, -51, 9, 4, 0, -25 in descending order.\nAnswer: 17, 9, 4, 0, -1, -25, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m + 10. Suppose 421 + 59 = 60*c. What is w(c)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 + 1381*w**2\/5 + 530064*w\/5 + 7138368.\nAnswer: (w + 85)*(w + 648)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -1\/96*i**6 + 0 - 35\/32*i**4 + 15\/4*i**3 + 1\/6*i**5 + 0*i + 17*i**2. Determine t so that r(t) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/33 - 19\/66. Let z = 431\/1218 - 15\/58. Let x = -3\/7 + z. Which is the third smallest value? (a) x (b) j (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001723341696 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + -3)*(472\/(-24) + 19)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 = -b - 13, 3*b + 15 = 3*j. Let u = b - -12. Suppose -2*m = u*r - 48, 25 = 4*r + 5*m - 35. Solve -h = 3*g + 3*h + 1, -r = -5*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 11*u - 2*u**3 + 109*u**2 - 12*u + 26*u.\nAnswer: -2*u**3 + 109*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*t + 18, -4*t = 12*x - 8*x - 16. Solve x*b = 20 - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h**2 - 12*h**3 - 2\/3*h**4 + 400\/3*h + 0 = 0. What is h?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 4)*(-14 + 14 - 2*t**3) + (2*t**2 - 2 + 2)*(-2*t - t + 4*t) + 0*t**2 + 9*t**3 + 0*t**2 as r*t + i*t**3 + z + p*t**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 40 = -617*r + 622*r, 0 = -3*c + 3*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.8 + 28.6. Let k = 595\/4 - 148. What is the fourth smallest value in -1, -4, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6018 + 9268. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13583 = 12*o - 13583. Let j(u) = 4*u**2 + 4*u - 3. Determine j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*d + 3*k, 12 = -0*d + 3*d - 3*k. Let x be (d\/(-2))\/(-1*3\/222). What is the second derivative of -x*s**3 + 19*s**3 + 16*s - 9*s**3 wrt s?\nAnswer: -162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*q - 83. What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 457. Let z(d) = -d + 466. What is -3*v(u) + 4*z(u)?\nAnswer: -4*u + 493","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 3*h)*(-62*h**3 + 62*h**3 + h**4) - 64*h - 35*h**5 + 64*h.\nAnswer: -37*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72.39 + -72.29. Let v = 0.52 + -0.02. Let t = 10 + -5. Which is the closest to 2? (a) i (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-2)\/86)\/(4*1\/(-8))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 169708752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1894*p. Let l(j) = -12*j. Determine q(l(s)).\nAnswer: 22728*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*p + 18 = 0, -p = 11*b - 9*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -2, 203, 2 in decreasing order.\nAnswer: 203, 56, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67635741 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 155*z**2 + 4*z - 55. Let l be d(-6). Suppose 265*p = 264*p + l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -102*z**3 - 555*z**2 + 0 + 3 + 429*z**2 - 76*z**3. Let v(q) = -q**2 - 1. Let u(h) = f(h) + 3*v(h). Find the third derivative of u(n) wrt n.\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -710600 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-2\/7)\/(k**(-2\/7)*k\/(k*(k**(-5\/6)*k)\/k)*k*k) assuming k is positive.\nAnswer: k**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(51)\/sqrt(3) - sqrt(17)) + sqrt(153)\/(1*sqrt(9)) - -4*(sqrt(272)*-1 + sqrt(272)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**2 + 3135*g - 3135*g - 2 as q + v*g + b*g**2 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -77613416770 and 0.4.\nAnswer: -77613416769.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -13*o**3 + 613. Let h(m) = 25*m. Give y(h(k)).\nAnswer: -24375*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357105511*v**4 + v**2 - 5450*v - 46224 wrt v?\nAnswer: -4285266132*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = 3*l. Differentiate i + l + 1 + 3 - 4 with respect to i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/540 and -73\/270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 11) to base 7\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130071682*z**4 - 215*z**2 + z + 7796?\nAnswer: -3121720368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362.3 - 362. Let o = -8.6 - -8.7. Sort -3, 2\/17, l, o in ascending order.\nAnswer: -3, o, 2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -54. Suppose 7*c - u*c + 25 = 4*y, 20 = -5*c + 3*y. Let s be 2\/(4*(-2)\/(-3)). What is the nearest to s in -3, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 + 0 + (0 - 4 + 5)*(23 - 74 - 18))*(3 - 2 - 2)*(2 - 2 + 2*z) to the form g + s*z and give s.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2)\/(-4) - 0\/7. Let y be (-1 - z) + 1 - (-63)\/(-21). Let o be -2*(5 + y + -12002). What is o rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 151. What is the remainder when g is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:24 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20882 - -24188. Calculate the greatest common divisor of 261 and q.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + ((sqrt(147) + sqrt(147) + -4 + sqrt(147) + -1 + sqrt(147) - sqrt(147)) + sqrt(147) - (sqrt(147) + 0)*1)*4 + 0)**2.\nAnswer: -14112*sqrt(3) + 86436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3734)\/(-10) + 244\/(-610) is divided by 77.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -0.32, 1\/7, 0.2, 0.1 in ascending order.\nAnswer: -166, -0.32, 0.1, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1155 + -1151. Solve 29 = -5*t - r*c, -5*c - 5 = -0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 170?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/7 (b) 2.9 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from dddlddllldldldlldl?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50639702 to the nearest integer?\nAnswer: 7116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2767, 2732, 2667, 2566, 2423, 2232, 1987, 1682?\n\"Answer: -z**3 - 9*z**2 - z + 2778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (18 + (6 - 9) + -5 + 57)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from odoodooddcodcoodcd?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*p = -210*p + 242*p - 19345 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/114 and -113\/20.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:16 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 3*p - 5. Let r be j(-5). Let z = 5 + -5. Suppose z = -3*f + 2*b + 1, -3 = -f - 4*f + 3*b. Sort f, r, 0 in descending order.\nAnswer: r, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Suppose 0*z = -z + 3*w + 19, -4*z + 2*w + 76 = c. Suppose 4*b - s - s = 46, z = 2*b - 5*s. What is the smallest common multiple of 20 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -28 - (-27 - -26). Suppose 4*x - v = -x. Let l(r) = r - 3. Calculate l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402c (base 14) to base 5.\nAnswer: -323031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013425 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/7 - 8850*t**3\/7 + 24999013*t**2\/7 - 23976366900*t\/7 + 7339732129636\/7 = 0.\nAnswer: 734, 3691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 498, 839, 1242?\nAnswer: 1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578.756 years to decades.\nAnswer: 57.8756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8129834 is divided by 3029?\nAnswer: 3027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12700, 25397, 38094, 50791, 63488?\nAnswer: 76185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687718307 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 71, 156, 273, 422, 603, 816?\n\"Answer: 16*c**2 + 5*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p**2 - 339*p - 132. Calculate r(-26).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 83 - 120 + 44)*(-22*p + 72*p - 36*p) as a + x*p and give x.\nAnswer: -2282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-7))\/(g\/(g\/(g*g*g\/(((g*g**(1\/2)*g)\/g*g)\/g))))*(g**(2\/7))**(-2\/93))\/((g**(1\/4))**(2\/155)*(g**(-3)\/g)\/g**(2\/3)) assuming g is positive.\nAnswer: g**(-9253\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 - g**2)*(-19*g**2 - 32*g**2 - 29*g**2).\nAnswer: 80*g**4 + 240*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.0893801 rounded to two decimal places?\nAnswer: -64.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -613227415 - -2057377957861\/3355. Let w = -1\/671 - x. Calculate the common denominator of w and -64\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845936 < 845936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2040*h + 11 = 2029*h - 4068*h - 5*l, 7 = 5*h - l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42727.02479 rounded to the nearest 100?\nAnswer: -42700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**2 + 51*j**2 + 47*j**2 + 35*j**2 + 325*j**2.\nAnswer: 501*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*v - 2073, 0 = v - 5*v + 12. Is (309\/(-4))\/(18\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - f - f)*(0 + 5 - 3)*(14 - 18 - 38) to o + k*f and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 206229119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24015 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157 = -75*i + 206 + 62 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -260, -710, -1474, -2630, -4256, -6430, -9230?\nAnswer: -12734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040716 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/9))\/g**(-11))\/(g**10\/g**17) assuming g is positive.\nAnswer: g**(173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/44 and -31\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5857677 and 54439?\nAnswer: 5912116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**7\/1260 - 7*s**5\/120 + 7*s**4\/24 - 5*s**2. Let a(z) be the second derivative of g(z). What is the units digit of a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23631?\nAnswer: 3, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12. Let p(q) = 7. Let v(s) = 5*p(s) - 3*x(s). Let k(l) = -4*l + 1. Determine k(w) - v(w).\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77.9037 + -0.8763. Let b = -17.92 + l. Let y = b + 91. What is y rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104*j**2 + 266738052*j + 10259156.\nAnswer: -4*(j - 2564789)*(26*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 26*j + 2691 = 27*j. Calculate the remainder when 742 is divided by j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**15\/(q*q**15\/q)*(q**(-4))**(-1\/5) assuming q is positive.\nAnswer: q**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*y = 0, -181*x - y = -185*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10266 and -1.\nAnswer: -10267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23493393 divided by 1169.\nAnswer: -20097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 + 468 = -15*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 17*s + 75. Give i(6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 22 = -3*y, 0 = -4*n + 10 - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + -1 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 31 - 19 + 6*r + 6*r. Let b be z(11). Calculate the greatest common divisor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52790535.\nAnswer: 3, 5, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.014, 1.4, -6454, 3, -1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(275))**2 - sqrt(275)) + sqrt(11) + -1*(sqrt(66)\/sqrt(6))**2.\nAnswer: 46*sqrt(11) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 362 = -17. Suppose 30 + f = -3*o. What is the common denominator of -73\/4 and 6\/(-21) - o\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 - 3*q**2 - 53*q - 101. Let l be p(-2). Solve 2*a + 2*f = -12, 4*f = 3*a - 0 - l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*f = -0*f - 417, 5*c - 3*f - 412 = 0. Let j be c\/498 + 59\/6. Solve -6*l - 2*n + 24 = -j*l, 3*l = 3*n - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/910 and -81\/711100.\nAnswer: 4977700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30800 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*c + 4*p, p + 7 = 2*c - 0*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -10\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*-4 + (-42)\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.70772992.\nAnswer: -2.83091968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(2\/25)*b)\/((b*(b\/(b\/b**(-10)*b))\/b*b)\/b))\/(((b\/b**(-5\/3))\/b)\/b**(2\/7)))**(-3\/2))**38 assuming b is positive.\nAnswer: b**(-116698\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 - 2*d - 3. Let f(v) = -9*v**2 + 10*v - 5. Let a(u) = 16*u**2 - 24*u + 9. Let m(g) = 4*a(g) + 9*f(g). What is -3*m(r) + 8*s(r)?\nAnswer: 3*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 37 = -13. Suppose -2*m + 4*q = -a - 0, m - q = 3. Suppose -4 = c - m*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + (-3)\/18. Let z = -949 - -945. What is the nearest to -0.1 in z, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.11, -243\/7, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -8. Suppose -4*a + 2 = -l. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 - 20*u + 3. Suppose f - 20 - 7 = 4*n, 4*f + 18 = -2*n. Is q(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3112130 (base 4) in base 3?\nAnswer: -200211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115488 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 12, s: 2}. What is prob of sequence toto?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13 = -3*y, -y - 4*s + 14 = -2*y. What is the common denominator of 41\/9 and -1*1423\/(-264) - y\/33?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104568123 to the power of 1\/2, to the nearest integer?\nAnswer: 10226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 8:01 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a + 4*v + 33, 4*a - 4*v = 28. Let q(z) = -z**2 + 5*z + 4. Give q(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (2 + 2)) + 2. Let o be 5 - c - 2\/8*4. Let f(w) = w + 2. Give f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75289591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:55 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(95)\/sqrt(45).\nAnswer: sqrt(19)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3334024 - -1?\nAnswer: -3334023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-49) + 412\/7. Let o = m - 57. Solve -16 = -t + 4*b, 6*t - 2*b = o*t - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obbnbbepomop. Give prob of sequence obe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 4*m**3\/3 - 19*m**2 - 28*m + 2. Suppose 3*h - 4*h = -35. Calculate the remainder when h is divided by p(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (855\/76)\/(22\/(-8) + 3). What is the highest common factor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -3*c**2\/2 + c - 14. Determine y(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 46*j = 219*j + 1500 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by -1697.\nAnswer: 351\/1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 551 and 397039?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 16*s**2 + 14*s - 4. Calculate the remainder when u(-17) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from {w: 7, u: 2, d: 4, h: 2, l: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8238, -16476, -24714, -32952?\n\"Answer: -8238*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1628 and 144?\nAnswer: 58608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + s + 2, 0 = -3*y - 2*s - 3*s + 14. Sort 23, 0.2, y in descending order.\nAnswer: 23, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1913 in -69, 2, 0.47, -4\/7?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 1159958 = -19*x + 1160838 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 - 1838 = 145*x + 692 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(6\/5))\/r)\/(r**(6\/11)\/r)*(r\/(r**(1\/3)*r))**(11\/5) assuming r is positive.\nAnswer: r**(-244\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 242 = -38*a. What is the thousands digit of 1656 - a\/32*-28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.56742775 + 47.56741795. Let v = -0.34 + -46.66. Let w = v + g. Round w to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181 - -191. What is the lowest common multiple of v and 1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-208)\/(-325) + -7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15727\/6 + -2621. Which is the nearest to g? (a) -2\/5 (b) 0.2 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 - 12*l**2 + 2*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72359*w + 146324*w - 80383*w + 1)*(-2 + 1 + 4) in the form b + g*w and give g.\nAnswer: -19254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1112 and 3640688?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 4*l + 14. Let o be w(-6). Suppose -f = o, -2*j - 3*f + 12 = -6*f. Solve 0*p + j = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1) + (-4 - -5). Let g = t - -3. Let n(l) = -2*l**2 - 24*l - 13. What is the remainder when n(-11) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/233216 and -97\/24.\nAnswer: 699648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12054801?\nAnswer: 3, 11, 365297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.08542 * -6.\nAnswer: -36.51252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/12*(-2 + 2). Suppose j = 5*m + 20 - 35. Suppose -3*s = 5*q - 16, -2*s + m*q - q = -16. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66587*d**2*g*k**3 - d**2*g*k - 4*d**2*k - 7451*d*k**3 with respect to g.\nAnswer: -66587*d**2*k**3 - d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.92 to the nearest integer.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, u: 11}. What is prob of picking 4 a?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umm when three letters picked without replacement from rkuwkmm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*v + 8. Suppose -2*d - 14 = -3*r - 0, -4*d - 12 = v*r. Calculate the highest common factor of 16 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 35*p + 30*p = -8, -24 = -4*f + 4*f - 6*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40400 is divided by 37305.\nAnswer: 3095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158012 and 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 2768.9467?\nAnswer: -276.89467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 270*o - 123*o**2 + 62*o**4 + 51*o**4 + 60*o**3 - 116*o**4 - 204*o**2.\nAnswer: -3*o*(o - 10)*(o - 9)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 92 + -3 + 2 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328388 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9*w = 14*w + 466, -3*w + 1398 = -3*v. Is -467 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9405270.\nAnswer: 2, 3, 5, 7, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -202.980231 to the nearest integer.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-21) - 470\/(-14). Let y(u) = u**2 + 20*u - v*u + 15*u. Let i(f) = -6*f**2 - 7*f - 1. Give 2*i(k) + 14*y(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -135, -153, -171, -189, -207, -225?\n\"Answer: -18*z - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 19*d - 19. Let p be q(-20). What is the first derivative of 3 + 5 - p - 29*h**2 + 3 wrt h?\nAnswer: -58*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/3 - 2*k**2 + 3*k - 3. Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3))**(-1\/6))**(-25))**17 assuming q is positive.\nAnswer: q**(425\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/57*(-93)\/2. Let i be m\/(-11) - 2\/(-11). Let k = 0 - -3. Solve -r + 2 = r - k*p, 0 = r - 2*p - i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9597*b + 3212. Let d be m(-3). Round d to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/u*u**(-5\/3))\/(u*u\/u**0*u**(-1\/3)))**40 assuming u is positive.\nAnswer: u**(-880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005876775642 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.7 + 27. Let k = 2.2 + q. Sort 2\/11, k, -3.\nAnswer: -3, k, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -2*r - 127 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*c - 5*j + 110, 0 = c - 0*j + j + 4*j - 56 + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 11638?\nAnswer: 11638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(10\/9))\/v))\/v**1*((v**(-1\/17)\/v*v)\/v)\/v**(-1\/8))**17 assuming v is positive.\nAnswer: v**(-2503\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523323 to the power of 1\/2, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 75 times 0.08595\nAnswer: 6.44625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2272)\/32 + 24288\/345 - (-139)\/215\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51a (base 15) to base 14.\nAnswer: 5c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h + 0*h + 3 + 4*h**2 - 3*h - 15 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 910 - 911. Which is smaller: 4\/363 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 10*x**2 + 14*x - 5. List the prime factors of q(11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-642)\/(-6) + 2 - (2 + -1). Let i = -105 + f. Suppose -i*x + 187 = -8936. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*h - h. Let j be h\/(-4)*(7 - 3). Suppose j*q = q + 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450338.44 rounded to the nearest 1000?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -255544*l**4 + 32*l**3 + 11139233 wrt l.\nAnswer: -1022176*l**3 + 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + j - 5*j = 52, 0 = 3*j + 9. Suppose 2*d = 2, 2*a + 0*d = 4*d - t. Let o(r) = -r + 14. Calculate the remainder when 31 is divided by o(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1248 * 5.\nAnswer: 6240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 8*i + 7. Let l be p(7). Suppose -2*c + 2 = -l*c. Let z = 9.46 - 8.76. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594366482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 3. Let y(f) = -f**2 + 8*f - 18. Let a be y(7). Let k(t) = 3*t + 8. Calculate a*d(z) + 4*k(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 5*l**2 - 7*l + 7. Suppose 5*s - 1543 = -4*r - 508, -5*s + 3*r = -1000. Let x = -200 + s. Calculate the remainder when x is divided by m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 390378*m*v + 44*m + v - 11567146 wrt m.\nAnswer: 390378*v + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -23. Suppose -j - 1 = 0, 0 = h*n + n + 2*j - 4. What is the greatest common factor of n and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9780 - -9771. Is x greater than or equal to -246\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-112770)\/24)\/35)\/(1\/(1240\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/1024672643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Let f = d - -1. Let c = -60 - -60. What is the nearest to c in 1\/6, -0.5, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -13\/3, 0.3, -261.26, 2\/5, 3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2*sqrt(1377) + sqrt(17) - -3*sqrt(1377))**2*1.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 95 = -3*v + 2*v, -53 = -2*j - 5*v. Let i be (-148)\/(-6) + 4\/(-6). Calculate the highest common factor of i and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 2. Let x(p) = 1. Let z(n) = -j(n) - 2*x(n). Let o(v) be the third derivative of v**4\/4 - 4*v**3\/3 + 3*v**2 + 83*v. Determine z(o(t)).\nAnswer: -72*t**2 + 192*t - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n = -9. Suppose -n*q - 3*q = -9*q. Sort q, -5, -3, -4.\nAnswer: -5, -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*u**5\/19 - 599390*u**4\/19 + 369587396*u**3\/19 + 1930710580*u**2\/19 + 341873162*u\/19 + 15400810\/19 = 0. Calculate u.\nAnswer: -5, -1\/11, 1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 63. Determine y(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 6. Let v(g) = 9. Let x(a) = -5. Let h(o) = -4*v(o) - 7*x(o). Let p(b) = -4*h(b) + t(b). What is the first derivative of p(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 - 3*(-52)\/(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53341?\nAnswer: 41, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3969) - -3*-2*sqrt(3969))*6)\/((-1*sqrt(252)*-6 - sqrt(252) - sqrt(252))*1))**2.\nAnswer: 14175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -442*c**2 + 345*c + 2. Let f(v) = -2652*v**2 + 2066*v + 13. Let x(l) = -2*f(l) + 13*t(l). What is the second derivative of x(w) wrt w?\nAnswer: -884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15338475 a multiple of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 2*z**2 + 16*z. Calculate d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + -5 + ((sqrt(34) + sqrt(68)\/sqrt(2) - sqrt(34))\/sqrt(2))**2 + sqrt(34)\/((sqrt(20)*-2)\/sqrt(10)).\nAnswer: sqrt(17)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-11)\/(77\/(-14)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {j: 12, v: 7}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.710893 months to years.\nAnswer: 2.47590775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/4811775?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 - 271. Which is the closest to 1? (a) -0.5 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = 2*f, 2*a + f - 4 = 3. Suppose 5*v - 8 - a = 0. Suppose 0 = 4*z - 4*k - 48, -z = 4*k - v. What is the highest common divisor of z and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-168)*((-30)\/(-375))\/((-1)\/20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -u - 9*u. Sort -1, u, -2 in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 2*b**2 + 8*b + 22. Is a(-10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128132575?\nAnswer: 5, 47, 109049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 + 158*c - 2280 = 0. What is c?\nAnswer: 19, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 69*n = 71*n - 42, u + 4*n - 21 = 0. Solve -u*j - 2*j - 46 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53816*0.1\nAnswer: -5381.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4765138\/(-1623)*17127411\/(-72). Let w = 698419225 - k. Let c = 5\/541 - w. Calculate the common denominator of 38 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 274*o**2 - 12. Let v(x) = 212624*x**2 - 9316. Determine -4658*m(z) + 6*v(z).\nAnswer: -548*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 + -0.24. Sort k, -0.3, -3, -1 in ascending order.\nAnswer: -3, -1, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 76. Let g(o) = -o + 4. Determine 6*g(h) + w(h).\nAnswer: -4*h - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152 - 214151?\nAnswer: -214343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183474\/65 + -2824. Is m < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 + 1771076\nAnswer: 1771073.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 51768936 divided by 9\nAnswer: 5752104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 20*v + 103. Let s be r(-9). Suppose 0*o + 3*c - 120 = -3*o, -4*o + s*c + 192 = 0. Calculate the highest common factor of o and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 65*z**2 - 136*z - 32. Calculate u(67).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 + 17)*(0*p + p - 4*p).\nAnswer: -75*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -20, -102\/5, 1\/2, -0.04, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**6\/120 - 2*r**5\/15 - r**4\/12 - r**3\/3 - 10*r**2. List the prime factors of a(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*w - 25 + 8*w + 92 + 47*w wrt w?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c. Let d(i) = -231*i**2 + 459*i**2 - 230*i**2. Calculate d(q(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*k - 289*k - 70*k - 2820 = -115*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/10 + (-2 - 65\/(-25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1538, 3076, 4614, 6152, 7690?\n\"Answer: 1538*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u - 28. What is the least common multiple of x(-26) and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 12. Let v be ((-3)\/(-5))\/(j\/5). Solve -z + 8 = -v*f, -5*f - 14 = -3*z - 6*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 853083 and 50471?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/3, -0.07, -1\/5, 1 in increasing order.\nAnswer: -2\/3, -1\/5, -0.07, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**3 - 1391291676*i + 1391291676*i.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 98*p**4 - 1092*p**3 + 74*p**2 + 16536*p + 22472 = 0.\nAnswer: -2, 53\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40d (base 16) to base 15.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.960001512 + 8.96. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**4 + 10*a**4 - 1 + 11*a**4 + (-2*a**3 + 4*a**3 - a**3)*(2*a - a + a) in the form n*a**3 + b*a**4 + f + k*a + d*a**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w - 1. Let b = -18 + 19. What are the prime factors of c(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 16*v**4 - 69*v + 2*v**2 - 3*v**2 + 7*v**4 + 14*v**4 - 38*v**4 in the form o*v**3 + w*v**4 + z*v + m*v**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9339760 divided by -2334940?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, o: 2, c: 4, k: 3, l: 1, g: 1}. What is prob of sequence lg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -0.9. Let p be 4\/33*(-3)\/2. Let s = -2295 - -2292. Which is the third biggest value? (a) x (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/21)*c))\/c**(-8))\/(c**(-13\/5)\/c*c**(-16)\/c) assuming c is positive.\nAnswer: c**(3008\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3) + 11\/13. Let s = 0.0112 - -0.0888. What is the smallest value in x, s, 1\/6, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 4\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 12*c**2 + 2*c - 15. Let b be s(12). Suppose -b*k = -27 - 9. Suppose -5*n = -3*j + 5 + 10, -20 = 3*n - k*j. Let a(o) = o + 5. Calculate a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3309\nAnswer: 13236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 6*f + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1078 = -3*t + 173. Suppose -3*v - 3*f = -t, 0 = -2*v - 3*v - f + 707. Let k be -28169*v + 4\/(-2). Round k to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11477\/3 - -3749. Let c = q + 229\/3. Let a = 0.95 - -0.05. What is the nearest to -6 in a, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 + (-4 - 0) + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1198 - -1206. Calculate the greatest common divisor of z and 824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2366.162 tonnes?\nAnswer: 2366162000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 379, 749, 1119, 1489, 1859, 2229?\n\"Answer: 370*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228579311\/814 + -280810. Find the common denominator of t and -105\/88.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -439, 1 in decreasing order.\nAnswer: 56, 1, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16.33 or 0?\nAnswer: 16.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 4. Let p = 5 - 3. Let m be w(p). Suppose -m*n + 12*n = -268. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 + -3629\/10. Is -2 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 + -187. Let r(l) be the first derivative of 0*l**5 + 0*l**x - 4 + 1\/3*l**6 + 0*l**4 + 2\/3*l**3 + 0*l. What is the third derivative of r(o) wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.707927 grams?\nAnswer: 707.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*m + 85*m + 1175 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-8)\/(-18)*189*(-3)\/1050.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -174. Suppose 3*x - y = 115. Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1664963 and -5?\nAnswer: 8324815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 419 + 97. Let l = q + 207. Let k = l + -29. Calculate the greatest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 3006809*k**2 + 2260301762299*k - 115267569299691 = 0. Calculate k.\nAnswer: 51, 1503379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 477*h**2 - 73 + 0*h + h + 487*h**2 to the form x*h**2 + a + g*h and give a.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/(-10))\/((-2)\/68). Suppose -5*t - 2*g + 434 = 0, -2*t + 5*t - z = -3*g. Suppose -71 = -3*f + t. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 - 27*u**2 - 2 - 12*u**2 + 2.\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -148.9 and 0.87699.\nAnswer: -148.02301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37731 is divided by 54.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/7, -0.1, -3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 65*b + 961. Let t be n(-19). Let u(v) = v**2 - v. Let s be u(1). List the prime factors of (4 + s)*t\/(-8) + 1.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 11078*a**3 - 43*a**4 - a + 11078*a**3 to the form j*a + u*a**4 + h*a**3 + y + s*a**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552815.1mg in tonnes?\nAnswer: 0.0005528151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/6 - -3\/2. Let c be 84\/7 + -2*1. Let n = 10 - c. Is q < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -48*k + 9. Let u be m(-2). Let n = 0 + 5. Suppose -5*h - 5*p + 0*p + u = 0, n*p = h + 9. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 2*c - 1. Suppose 5*x + 35 = 5*h, -3*x - x + 17 = 5*h. Let o be x\/(-6) - 57\/9. Let b(v) = v**2 + 6*v - 3. Let r be b(o). Give z(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 j when three letters picked without replacement from ksvjkkkjkgkkkkgkvgs?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + l + 5. Let k(u) = u**2 + 598*u - 12. Give k(d) + 2*q(d).\nAnswer: 3*d**2 + 600*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 2, h: 7, z: 3, s: 1}. What is prob of sequence qs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -42, -92, -162, -252?\n\"Answer: -10*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - -0.3602582718?\nAnswer: 31.3602582718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9394 and 280.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -64. Let n = -0.35778 - -0.75778. Put 1, n, p in descending order.\nAnswer: p, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65518*g*q - 29*g - 2591 with respect to q.\nAnswer: 65518*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*h - 746*h - 656*h + 19*h + 148*h - 176*h.\nAnswer: -1280*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3))**(-2\/91)*d**(-9)*d\/(d\/d**(-11)) assuming d is positive.\nAnswer: d**(-5464\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from nnnnzyyzy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83820404 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52402710 and 18879?\nAnswer: 366818970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 10*d**4 - 36*d**3 + 8*d**2 + 36*d - 18 = 0.\nAnswer: -1, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7.3. Let r = 0.11 + -8.11. Let h = r - -3. Put h, g, 0.4 in descending order.\nAnswer: 0.4, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 183 - 186. Which is the second smallest value? (a) j (b) 0.06 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.36 and 0.2.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1227\/48137 - -2\/1301. Let h = l - 81\/259. Which is the fourth biggest value? (a) 5 (b) -0.2 (c) 2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 5:51 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1*1\/(-1). Suppose g*m = m - 5. Let b be 2 + (1 - 0) - 2. Put m, b, -5 in decreasing order.\nAnswer: m, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 30. Let z = 7 - l. Which is greater: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80247 + -1283. List the prime factors of q.\nAnswer: 2, 19, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15312 + 15318. Calculate the least common multiple of p and 10127.\nAnswer: 60762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 0 + 0)*(4 - 4 - 2*f) + 15*f**3 - f**3 - 3*f**3.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 68.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.126 - -40.5. Let k = t - -0.116. Let m = 0.01 + k. Which is the third biggest value? (a) m (b) 3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**5\/20 - j**4\/2 + j**3\/6 + 2*j**2 - 3*j. Give p(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-6) - 240\/(-576). Sort n, -27, -12 in descending order.\nAnswer: n, -12, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3254 divided by -1627\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.3 (b) -1\/38 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -25) + 5790*(-5)\/1250.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 + -0.06. Let p = -1.5 + 0.5. Let m = -3 - p. What is the second smallest value in m, f, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**7\/2520 - g**5\/120 - g**4\/4 - 2*g. Let w(r) be the third derivative of c(r). What is the derivative of w(k) wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 37. Let q be k(-11). Suppose -q*l - 4*f - 2 = -14, -14 = -3*l - 2*f. Find the second derivative of 336 - 336 + 22*o**4 + l*o wrt o.\nAnswer: 264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -4.\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + -12065?\nAnswer: -12130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28422088269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d. Let v(a) be the second derivative of -a**7\/630 + a**4\/6 + 10*a. Let b(g) be the third derivative of v(g). Calculate b(o(f)).\nAnswer: -196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 498\/(-4)*-1269 - (-11 - 44)\/110 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17074 is divided by 237?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 233\/11. What is the closest to -3 in 1\/3, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33227, 66530, 99833?\n\"Answer: 33303*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96866 - -103808.3. What is u rounded to the nearest 100?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/11 (b) -2 (c) 2\/79 (d) -2\/15 (e) 0.2 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (133*s**3 - 175 + 175)*(4*s - 4*s + s + (-4 + 2 + 1)*(-4*s + 3*s - s)) to the form j*s**2 + a*s**4 + t*s + p*s**3 + i and give a.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8092 - 3.9092. Is d not equal to 2808.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -6*s - 10*x - 39*x + 53*x, s + 4*x = -59 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {x: 4, k: 2, q: 3}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20122 (base 8) to base 11.\nAnswer: -6242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*f = 0, -w - 6*f + f = 0. Let g be w\/2 + (-2 - 11). Let l = 24 + g. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.01, 2, -0.1, -4, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3800141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*s - 466*s = 2*w - 34, 4*w + s = -8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 7:59 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 765666 divided by 11\nAnswer: 69606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1094656.59 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 181*g**3 - 125*g**3 + 485*g**3 + (2*g - 1 + 1)*(0*g**2 + g**2 + g**2).\nAnswer: 545*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 9*t = -2*v + 68, 0 = -t + 2. Solve -v*i = -77*i - 92 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3198 (b) -5\/13 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 9*a**2 + 5*a - 3*a + 3*a**3 + 3*a - 2*a**4 + 11*a**2 - 5*a**3 to c + x*a**2 + v*a + u*a**4 + i*a**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4058625 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937 + 229 = -61*t + 7 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/53, 840\/11.\nAnswer: -1\/53, 1, 840\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a13aa68 - -5?\nAnswer: a13aa6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 10*c - 13. Let a be t(-18). Let q = 261 + a. Calculate the remainder when q is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 11:29 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5781659337.\nAnswer: 3, 3461, 61871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 + -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24935233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(20\/8))\/(10\/45)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*i - i + 5, 15 = i + s. Suppose -5*u - 618 = -10*u - 2*t, -5*u + 4*t + 624 = 0. Let p = u - 62. What is the remainder when p is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 take away 12850?\nAnswer: -12880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 0*s**2 - 3*s**3 - s**2)*(-2122 + 1719 - 2587 - 2248 - 316).\nAnswer: 5554*s**3 + 5554*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -2\/7, 1.83.\nAnswer: -138, -2\/7, 1.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i + 204 = -36*i - 148. Let p(b) = -3*b**2 - 10*b - 7. Determine p(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/43 in 7\/4, -1.61, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**3 + 20 + 26 - 46.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*w - 2*c, -3*c = -5*w + 81 + 37. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7076.89 millimeters?\nAnswer: 7076890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1176424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g. Let d(z) = 5*z**2 - 3*z + 6*z + 13*z**2 - 7*z**2. Calculate d(c(j)).\nAnswer: 176*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 62\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*i - 36476 + 37313. Let a(w) = -w. Let t be a(-4). Solve -6*n + 3*n + t*c = i, n = c - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*5103743\nAnswer: 1173860.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26297370 is divided by 148?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -129*r**3 + 2*r**2 - 3*r - 3. Let n be s(-2). Let f = 1750 - n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 0.3 (b) 1 (c) -15 (d) -4\/9 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 4094.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 8. Let w = 22 + o. Differentiate -4 + 19*y - 5*y**2 - w*y with respect to y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -31, -389, -9, -1 in decreasing order.\nAnswer: 0, -1, -9, -31, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = -5*w + 25, 2*w + 2*j = 16. Suppose -3*x + x + 6 = 0. Calculate the remainder when w is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8483042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 2435 - 2255 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21.93608 centimeters?\nAnswer: 0.2193608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 577\/360 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126697555?\nAnswer: 5, 1277, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/7 - 507*r**2\/7 - 5214*r\/7 = 0. Calculate r.\nAnswer: -158, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raaa when four letters picked without replacement from afrfaaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 9 - (3 + -2 - (4 - -7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -119601636 divided by -1812146\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.6 + 12.6. Let r = 0.25 - 2.25. Let q = -2.92 + -0.08. Which is the closest to f? (a) q (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3393*g**4 + 531*g**2*x**2 + 16207506*x**2 wrt g?\nAnswer: 13572*g**3 + 1062*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**15)\/d**5 assuming d is positive.\nAnswer: d**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(3) + 3 - (-3 + sqrt(3)*3)**2)*-3*-5.\nAnswer: -570*sqrt(3) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.11 (b) -0.6 (c) 0 (d) 3\/11 (e) -13 (f) 3 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 124.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 472689881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**3 - u**2 + 6*u - 5. What is f(-7)?\nAnswer: 1962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -425 - -3821\/9. Let r = k + -2\/9. What is the nearest to -1\/2 in -2, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2704 divided by -104.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 140*c**3 + 142*c**3 - 15*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/20)\/((-146)\/(-1460)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255031183.\nAnswer: 7, 179290169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*w - 9. Which is the biggest value? (a) -5 (b) -5\/3 (c) 2\/11 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 177 = -0*c - 3*d, -3*c - 5*d + 169 = 0. Let m = -48 + c. Solve u = -m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -25.58. Let c = 71031.4199775 - 71032. Let t = c + r. What is t rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 c when three letters picked without replacement from {b: 15, c: 3}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f + 1\/3*f**3 + 0*f**2 - 3. Let c(x) = 6*x. Determine p(c(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 196\/9957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/27 + 113\/54. Let j = -5\/3 + r. Determine n so that 1\/6*n**4 + 0 + 0*n - 1\/6*n**3 - j*n**2 + 1\/6*n**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406350202 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.28.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 17*v - 9. Let y(j) = -11*j + 1 - 46*j**2 - 50 + 5 + 84*j**2 - 37*j**2. Let z be y(15). Calculate p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 70\/11 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -36 - 2. Let p be 3*(-2)\/(-9)*3. Suppose 5*l - 280 = p*u, -l + 6*l - 280 = -u. Calculate the remainder when l is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 20. Let h(i) = 5*i - 2 + 7 + g. Let m(y) = -y**2 + y - 1. Let n(o) = -h(o) - m(o). What is n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 15*v - 2 = 0, 5*c - 4*v = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 2*i - 11. Let f = -280 - -283. Let x(j) = -2*j**2 + j + 5. Determine f*s(l) + 7*x(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146*m**3 - 1606 - 810*m**3 - 563*m**3 wrt m?\nAnswer: -3681*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 216*a - 3748. Give w(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*m = 531*m - 104 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -7)*(-48 + 56364\/1176)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84*m**5 + 67*m**5 - 111*m**5 + (2*m**2 - 3*m**2 - m**2)*(-m**3 - 4*m**3 + 4*m**3).\nAnswer: -126*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5 - 630*b**4 - 22170*b**3 - 146780*b**2 - 229545*b - 104310 = 0. Calculate b.\nAnswer: -61, -57, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -39. Solve -7*l + 2*l + j = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Calculate the remainder when 0 + 0 - (-18)\/3 is divided by ((6*-2)\/r)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-3*(sqrt(204) - 3*sqrt(204)) - sqrt(204)*2*3))\/(sqrt(12) - (sqrt(12) + (sqrt(12) - 3*sqrt(108))) - -3*sqrt(144)\/sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 47 + 2*t**4 - 49191*t**3 + 49203*t**3 to y*t**4 + o*t**2 + g*t + m*t**3 + q and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -105 (c) 2 (d) -2\/347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p. Let v(d) = -d**3 + 2. Let q(b) = 2*l(b) - v(b). Let j(s) be the first derivative of -s**2\/2 - s - 2. What is -2*j(f) + q(f)?\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*o = 9773 - 1200, 5 = o. What is the greatest common factor of l and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.7 in -2, 60\/107, 4\/7, 0.07, 0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - -9) + -31 - (9 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2289262 (c) 4 (d) -3 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:23 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6)*u**(2\/17))\/(u**(-11)\/u**5) assuming u is positive.\nAnswer: u**(1627\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {y: 2, b: 4, t: 2, i: 2, j: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 206756 * 22\nAnswer: 4548632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 95*h**2 + 48*h - 47. Let a be x(47). Let u(c) be the second derivative of a*c**3 - 5\/72*c**4 + 11*c + 0*c**2 + 0. What is d in u(d) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohnddmnz. What is prob of sequence mz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-1 + (-224)\/49 + 6). Let n(c) = c**2 + 6*c + 7. Let d be n(-5). Suppose -6\/7*z - 2*z**3 - f + 24\/7*z**d = 0. Calculate z.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42404099.\nAnswer: 67, 632897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 1:25 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**4 + 5*g**4 + 4*g**2 - 2*g**2 - 18*g**2 wrt g?\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-1 + 2 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 1065 + 551 = 0. Find the common denominator of (-873)\/48*6\/9 and (c\/(-6))\/((88\/(-3))\/11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 16) to base 7.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -240.7459 and 593.3.\nAnswer: 352.5541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 8353?\nAnswer: 267296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u = -73*u - 63. Let x be -1 + 1 + (-1 - -1). Suppose -7*c + u*c - 44 = x. Calculate the least common multiple of c and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 13. Suppose -g + 5 = -2*m. Let c be 4\/1 - (m - 2). Which is smaller: 2\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 - 16*y. What is h(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076337 - 243063?\nAnswer: -243063.076337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 1, r: 1, k: 2, c: 6}. Give prob of picking 1 c and 2 s.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*s - 3*s - 56, -2*u = 5*s + 60. Let y = -10 - u. Let g = y - 6. Solve 2*r + g = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-18) - (-69)\/(-27). Let i(n) = n**2 + n + 3. Let y(g) = -g**2 - 2*g - 4. Let m(s) = -4*i(s) - 3*y(s). What is m(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37428, -74852, -112274, -149694, -187112, -224528, -261942?\n\"Answer: g**2 - 37427*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 131*u**3 - 2188*u**2 + 1182*u**2 + u + 1008*u**2 to the form g*u**2 + x*u**3 + o + c*u and give x.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -3\/10 (c) -1 (d) 24 (e) 26 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 7 + 8 - 1 - 17*n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csszszsczzsccc. Give prob of sequence css.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let y be j(2). Let r be y\/(-4)*2*-24. Suppose -r = 4*c - 6*c - 4*u, -3*u - 4 = -4*c. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6794585 years to decades.\nAnswer: 0.06794585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:09 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 273*q**2. Let t(b) = -8*b - 85. Let l(n) = 2*n + 17. Let r(i) = 10*l(i) + 2*t(i). What is r(g(m))?\nAnswer: 1092*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 - 984*v.\nAnswer: -3*v*(v + 656)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q. Let p be 1 + -1 + 3 + 1. Suppose 0 = -j + 6*j - 3*g, -p*g = -2*j. Let b be r(j). Which is smaller: -1\/16 or b?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7 + 2, -3*p = 3*r - 105. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 821300, 1642594, 2463882, 3285164, 4106440, 4927710, 5748974?\nAnswer: 6570232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 4*n**3 - 8*n**3 + 3*n**3 - 13.\nAnswer: -n**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2\/1117 (c) -2 (d) -0.3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1998 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.053, -0.1, -2\/2070159.\nAnswer: -0.1, -2\/2070159, 0.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 + 8 + 4*n**4 + 15 - 43 with respect to n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/3, 15, 8, -27?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 878*r - 247512. Determine n(282).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 241664 greater than 241664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(45)\/sqrt(3) - sqrt(15)) + sqrt(15))\/sqrt(5) - 5*(-1 + sqrt(3))))*-6.\nAnswer: -36 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-20)*(-2)\/(-6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 4\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370464.7 hours to milliseconds.\nAnswer: 1333672920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*v - 199031 = 0, 3*c + 3*v - 39042 = 160014. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from vrcv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -1341, -2030, -2719?\nAnswer: -3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 116829.87 to the nearest 1000.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 7*l**2 + 5*l + 8. Let h be s(-4). Calculate the highest common divisor of h and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzy when three letters picked without replacement from {v: 1, m: 1, z: 2, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5825*g - 6443*g - 6432*g + 18695*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81b + -7?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36cb2 (base 13) in base 10?\nAnswer: 101038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(2160\/220)*10\/(-11).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305640 and 434160.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*55\/(-11 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -65. Sort 3, l, -4, 1.\nAnswer: l, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/(i\/((i\/(i\/i**3))\/i)))\/((i*i**5)\/(i*i\/((i*i*i**5*i)\/i))) assuming i is positive.\nAnswer: i**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40814*a*f**4 - a + 861*f**2 - 10 wrt f.\nAnswer: 979536*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z + 38113 - 38218 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3309*y - 70 = -3304*y, 60 = -6*x - 3*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3*75\/(-50). Suppose -t*b + 62 = -0*b. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204231624 (base 7) to base 3.\nAnswer: -211122210001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/2 + 681*f**2 + 1425*f\/2 - 13650.\nAnswer: -3*(f - 455)*(f - 4)*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*p + 24*p**3 - 104*p + 16*p**3 wrt p?\nAnswer: 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24438.372 to the nearest one hundred.\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -11, -12, -13, -14, -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12014140 is divided by 966.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.79413 and 3.\nAnswer: 3.79413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -28*d + 2. Let r(q) = -q**2 - q - 3. Let o(v) = -15*v**2 - 2*v - 6. Let s(n) = o(n) - 2*r(n). Determine s(f(u)).\nAnswer: -10192*u**2 + 1456*u - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q + 1. Let h(r) = r**3 + r**2 + r - 1. Let z(m) = -2*m**3 + 3*m**2 + 8*m + 4. Let g(p) = 2*h(p) - z(p). Determine g(c) + 6*k(c).\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 0.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12236 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 + 110*c**2 + 53*c - 32. Let v be w(-27). Put 6, -866, v, 2 in ascending order.\nAnswer: -866, v, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5. Let o(j) = -2*j**2 + 11*j - 3. Let m(y) = y**2 - 6*y + 2. Let p(h) = 11*m(h) + 6*o(h). Let q(n) = 6*p(n) - 5*u(n). Calculate q(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -53) + 26962\/(-612).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 221\/3007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38214 rounded to three dps?\nAnswer: 0.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67.01 - 0.01. Let s = 78638.30424 + -78571.3. Let p = b - s. Round p to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - q - 3)*(-3 + 3 - 2*q) - q**2 - q**2 + q**2 - 2*q**2 - 2*q**2 + 0*q**2 + (0 + 0 - q)*(2*q + 0 + 0) - q**2 + 2*q**2 - 2*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 6. Let v be 1*-2 - (-10)\/2. Let y = v + -1. Sort y, -2, a in ascending order.\nAnswer: -2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54682 (base 10) in base 8?\nAnswer: 152632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2. Let g(q) = -18960*q**2 + 68. What is g(n(k))?\nAnswer: -75840*k**4 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 - 6317*f**2 - 889196*f - 1753132 = 0?\nAnswer: -6173, -142, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(727272\/1701))\/((-18)\/(-8))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrku when four letters picked without replacement from {r: 2, n: 1, k: 2, u: 1, f: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + m**5 + 2*m**5 - 5*m + m**4 + 6*m**5 + 5*m + (m + 2*m**4 - m)*(5*m - 2*m - 2*m).\nAnswer: 10*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322 - -323.42. Let b = -69.58 - q. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t = 0. Suppose -3*f + 7*f - 16 = t. Is f\/14 + 822\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.4103033 to 1 decimal place.\nAnswer: 42.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9280.8 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15867 - -16819. Calculate the smallest common multiple of g and 1224.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.57 and -0.205317694.\nAnswer: -1.775317694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9675.32996 to the nearest 10.\nAnswer: -9680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 12 = -s, 59*s - 62*s - 24 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = 5 + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 147385 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1860 + -4702. Let f = k - -62591\/22. What is the common denominator of 25\/12 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -770 - -743 - (21 - -3)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*j = -3*m - 32, 21 = m + 4*j. What is the remainder when 25 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -92*o**3 - 5*o**2 - 9*o - 1. Let b be i(-3). Suppose 9*h + 8*h - b = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Let t(h) = 6*h**2 - 3 - 4*h**s + 0 + h**2. Let d be t(-2). Solve -4*z + 1 = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 8*r, -4*r + 4242 = 2*u. List the prime factors of u.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 2, -6 in descending order.\nAnswer: 2, -5, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 282 * -21.\nAnswer: -5922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38216187*d*i*n**2 - 74*d*i*n - 2*d*i + 378*i*n - 2*i + 1 wrt n.\nAnswer: 76432374*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/5 - 0)\/((12\/(-15))\/(-2)). Let r(a) = 9*a. Let p be r(2). What is the highest common divisor of p and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3 + 3*j**2 + j**3 + j**2 - 6*j**2 + 2*j + j**2. Let a be n(0). Let h = a - -5. Solve 2*c + 18 = -3*c + 2*i, 0 = h*c + 3*i - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -20. Suppose -6*u + j*u = 24. Calculate the remainder when 45 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*j**2 - 19*j**2 + 4*j**4 + (-2*j + j - j)*(-j + j - j**3) + 4*j**4 - 3*j**4 + j**4.\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*g = 16, -2*f + 10 - 2 = 5*g. Let o be 1076\/22 + f\/(-4 + 6). Let t = o + -51. Is t >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308 < 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 86497012, 86497001, 86496990, 86496979?\n\"Answer: -11*i + 86497023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3326, 4, -5, 2, -951, -1 in decreasing order.\nAnswer: 4, 2, -1, -5, -951, -3326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10206 and 101\/378.\nAnswer: 10206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5760 and 10320.\nAnswer: 247680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 5*j)*(2*j + 0*j + 6*j)*(-4 + 6 - 1).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358613 = -18119*v + 1155849 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -30 + 26 + -20 + 44\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -1*sqrt(931) + -6*sqrt(76)\/sqrt(4) + 2 - (sqrt(684) + 3 + sqrt(19) + (sqrt(19) - (0 + sqrt(1539)))))*3.\nAnswer: -15*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + -2 + (sqrt(252) - (sqrt(252)*-5 - sqrt(252)))**2 + -1*(-4*sqrt(7) + sqrt(7)) + 4.\nAnswer: 3*sqrt(7) + 12353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*c - 6563 - 35444 = 0 for c.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/8 (b) -1 (c) -4 (d) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y - 2. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1366 divided by -1.\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43731*n**3 - 35*n**2 + 314227*n?\nAnswer: -262386*n - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 21 + 1269*d + 12.\nAnswer: 1269*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -133752?\nAnswer: -7\/22292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480848?\nAnswer: 2, 3, 30851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70247197 and 2138.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 547810900 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -80. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 2:23 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*f - 3. Let u(l) = l**2 - l - 1. Let x be u(f). Suppose -3*v - x*a + 8 = 0, 0*v - v + 3*a = 16. Let r(z) = -2*z**2 - 6*z - 2. Determine r(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31801 and 1888656?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/3 + 2*x**3\/9 - 4*x**2\/3 - 2*x. Solve q(w) = 0 for w.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -0.2, 0.5, -22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820547 is divided by 4597.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - -176 - 258 - ((-1 - -9) + -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 7*r - 3. Let t be b(5). Suppose -43 = t*y + 62. Let q be y\/((-5)\/(80\/12)). Calculate the highest common factor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -0.0231 (c) -1\/9 (d) -83\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*m - 423 = 0, 2*m - 208 = 3*o + 46. Let w = 80 + o. Sort w, -1, 6, 2 in increasing order.\nAnswer: w, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-21 - 2) - (-15 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i\/(i\/(i*(i**(-8)*i)\/i*i))*i)\/i)*i)\/(i*i**3))\/(((i\/i**(-8))\/i)\/i**(1\/8)))**18)**(-7\/6) assuming i is positive.\nAnswer: i**(651\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744681581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -293079 (base 10) in base 8?\nAnswer: -1074327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254786498?\nAnswer: 2, 73, 1745113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -2) + (3 - -7). Let b(y) = y**2 - 5*y - 17. Let z be b(u). Calculate the remainder when 36 is divided by -2*z\/2 - -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by (-477)\/(-15) - (-225)\/(-125).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**3\/6 + 3*d**2 - 17*d. Let r be q(-5). Suppose 0 = -3*n - n + u - 1, 3*n + 18 = -5*u. Sort -4, r, n in decreasing order.\nAnswer: r, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-394)\/18*(-6)\/7. Let s = x + -122\/7. Let y = -32.5 + 33.5. Which is the nearest to 0? (a) -2 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 43*d**3 - 1035*d**2 + 86*d - 326. Give j(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:19 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*120\/(-352)*4*(-2)\/(140\/6)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3318\/(-30) - -12 - 8)*-5. What is the highest common divisor of 52 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*w**3 + 2*w*y - 97*w - 110020*y wrt w?\nAnswer: 291*w**2 + 2*y - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 16. Let n be j(4). Suppose 163 + 109 = n*s. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -684, -1374, -2062, -2748, -3432, -4114, -4794?\n\"Answer: x**2 - 693*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 2*j = 84. What is the greatest common divisor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57221073.3 rounded to the nearest 100000?\nAnswer: -57200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.4 - -1?\nAnswer: 100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*d = 588 - 5487, 4*c - 4914 = 2*d. Is c - 5\/(25\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1062 divide 97056080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/120 + 5*m**4\/24 + 139*m**3\/6 - 9*m - 7. Let h(d) be the second derivative of c(d). Determine h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-432)\/(-252))\/((-2)\/(-3)) and -55\/324.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 2167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) 0 (c) 2 (d) -54445 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.965133 + 1.1281299. Let t = 0.163 - v. What is t rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 164\/(-16) - 1\/(-4). Let m = -7 - t. Let j(w) = 424*w - 5508. Let d be j(13). Solve -m = -d*v + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 - 9*k + 1. Let g be o(-9). Suppose 5*m + g = 322. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x**2 - 296*x - 42. Determine m(37).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 + 6*b + 5. Let r be j(-6). Find the second derivative of c**5 + 4*c - c**5 + c**5 + c**r wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*y + 25, 0 = -4*w - 2*y + 18 + 102. Calculate the remainder when 114 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -4*b + 12*m + 104, 2*m = 3*b - 81. Suppose -b = -5*r + 4*k - 5*k, r + 15 = 5*k. Solve -7 = l - 4*z, 0*l - r = -l - 2*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**4 + 334*i**3 + 4592*i**2 - 1568*i.\nAnswer: 2*i*(i + 28)**2*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*i**2 - 1444 - 768*i**2 + 1444 - 824*i**2 as t*i**2 + b*i + y and give t.\nAnswer: -1628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (6*(sqrt(539) + 3)*-3)**2)*-3*4.\nAnswer: -2130540 - 163296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 95, 356, 867, 1712, 2975?\nAnswer: 4740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11760a8 - -4?\nAnswer: 1176101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061623*j + 1061623*j - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*p**2 + 44220006*c**2*p + 33632447*c*p**2 wrt c?\nAnswer: -4*p**2 + 88440012*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*g**2 - 5*g**2 + 8*g**2 as n + l*g + f*g**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c. Suppose m = 4 - c. Is (m + 134\/(-6))*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(931))*3)**2 + 4.\nAnswer: 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.56 - 0.06. Let i = q - -0.4. Let v = 0.4 - i. Which is the nearest to -1? (a) 0.4 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1004, 4, -9, 3, 5 in ascending order.\nAnswer: -1004, -9, -2, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 66. Let a(n) be the first derivative of n**2 - 99*n - 378. Give 5*a(f) + 8*x(f).\nAnswer: 2*f + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -79.89. Let g = 8.51 - s. Let v = g + -8. What is the nearest to 0.1 in -2\/7, v, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315115444 (base 6) to base 10\nAnswer: -5562388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6643 and -143\/1307868?\nAnswer: 119015988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 84 = 10*m. What is the tens digit of -1 - 3 - (m + 0)*-9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1996*q**3*r**3 - 54*q**3*r**2 + 9*q**3*r - 2*q*r + 1 wrt r.\nAnswer: -11976*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is the square root of 16531 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 534304 divided by -4\nAnswer: -133576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 7. Let h = -8 - -15. Let k be o(h). Suppose k*c = 3*c - 4620. What is c rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-25120847.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**0*k**(-3))\/(k**(2\/19)*k**5) assuming k is positive.\nAnswer: k**(-135\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 88, 683, 2312, 5497, 10760, 18623, 29608?\n\"Answer: 87*c**3 - 5*c**2 + c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**2 + 14*h + 5. Let q be a(5). Is q < 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) + (-52)\/14. Let v(k) = k**2 + 10*k + 8. Let l be v(-9). Sort 2, g, l in descending order.\nAnswer: 2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9975)\/585 - -17) + (-11085)\/585?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.39 (b) -3 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1\/4)*i))\/i)**(2\/37)*(i**(2\/5))**(-7) assuming i is positive.\nAnswer: i**(-1051\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + 4 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 e when four letters picked without replacement from kiieikkiiikeeieeik?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -757\/9 - -84. Let i = -77 + 76.6. What is the third smallest value in -0.2, 5, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-2 - (-6)\/2). Let z be 2\/3*(-55 + 1)\/g. Let l be (4\/3)\/(z\/30). Which is smaller: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.05, 110.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 4, a: 9, i: 1}. What is prob of picking 1 q and 1 i?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -808 - -294. Let n = -193 - i. Let f = n + -320.999738. What is f rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:51 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3)\/((-1)\/(-12)). Suppose -x*p = 3*u - 8154, u + 4*p = 4*u - 8130. Let m = u + -1873. What is m rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1728 and 80?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 3. Let f be x(1). Let y be f - -54 - (0 - -2). Suppose 7*i = 6*i + y. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (1 - 0))*-1. Let a(t) = 0*t + 8 - 2 + t - 11. Let k be a(j). Sort k, -4, -3 in descending order.\nAnswer: -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2019946464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = s + 4, 4*s + 2*x - 18 = -x. Let j be (s\/18)\/(1\/129). Let k = j - 26. Solve -5*r = -k - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 15*y + 116. What is the remainder when c(13) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7166, 28593, 64288, 114239, 178434?\nAnswer: 256861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - 3.1. Which is the third biggest value? (a) 3\/2 (b) n (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2397922, -9591693, -21581326, -38366827, -59948202, -86325457, -117498598?\nAnswer: -153467631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g**(2\/7)))\/g)**(6\/5) assuming g is positive.\nAnswer: g**(-96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 139275*y**2 + 3*y + 1. Let p be o(-2). Suppose -w + p = -72905. Round w to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 2*f + 1. Let w be (42\/54 - 1) + (-9321)\/(-27). Let y = w - 347. Calculate g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 7152253?\nAnswer: -7152250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 19*p = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/20*(-4)\/(-7). Let f(k) = -k**2 - 9*k + 2. Let v be f(-5). Let h = 22 - v. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/3)*x)\/x)**(2\/55))**(8\/13) assuming x is positive.\nAnswer: x**(16\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.209 + 4.909. Put 6, -5, -3, 2, y in decreasing order.\nAnswer: 6, 2, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7132?\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*o**3 + 203*o**3 + 209*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02486 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h**3 + 8*h**2 + 5*h + 4. Let q be c(-3). Let k = q + -252. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.829253 kilometers to micrometers.\nAnswer: 9829253000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhtotthrtqhtxhtxh. Give prob of sequence xxq.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8462, -67757, -228694, -542093, -1058774, -1829557, -2905262?\n\"Answer: -8470*w**3 - w**2 - 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 19*b**2 + 105*b - 863. Give s(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -6 - (-335 - -371).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 12:18 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 286, 318, 374, 460, 582?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Suppose -q*z = 1 - 11. Suppose -f + 45 = 4*x - x, -z*f - 6 = 0. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18117)\/(-55) + 6\/(-15)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -2. Suppose 8*y - 8 = m*y. Let w(c) = 3*c**2 - 2*c + 1. What is the remainder when y is divided by w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -400 - -cc502?\nAnswer: cc102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 275.11 + -275. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.102, -1\/20, -6?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/285)\/((-10)\/(-18))*11\/33.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a - 8 - 36*a + 4*a. Does 15 divide z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-448)*16)\/(2\/64).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**5 + 5*t**2 - 239*t**3 + 239*t**3 wrt t?\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000010000110111011110001 + -100?\nAnswer: 111000010000110111011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 902 or 878?\nAnswer: 902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 1. Let j be 6*(14\/(-21))\/(-1). Give n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 4*n**2. Let p be 21\/35*(-5)\/(-1). Let j be x(p). Let s = -15 + j. Solve w = -5*h + s*w + 17, -h - w = -2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 36*a**2 + 72*a.\nAnswer: 4*a*(a + 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875810 is divided by 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353509.3 kilometers in nanometers?\nAnswer: 353509300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 595 and 369 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28606214 - 9535405 - 9535408 - 9535401 + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6) + (14\/4 - 3). Suppose -o - 5*j + 12 = 0, -4*o + 6 = -0*o - j. Let l(n) = n + 1. Let i(v) = 6*v + 1. Determine o*l(u) + s*i(u).\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16477, -32928, -49365, -65782, -82173, -98532, -114853, -131130?\n\"Answer: c**3 + c**2 - 16461*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*g**4*z + 11*g**2*z**2 + 329*z**2 wrt g.\nAnswer: 32*g**3*z + 22*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -0.1, -0.2, 2, 1082\/17?\nAnswer: 1082\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 4\/5, -0.06?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 310068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*u**2 + 6021*l**2 - 140528*u**2 wrt l.\nAnswer: -4*l*u**2 + 12042*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*l**3 + 23*l**3 + 20*l**3 + 20*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1172 - -4691\/4. Which is the third smallest value? (a) -4 (b) v (c) 1 (d) 27\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.23 and -63.12.\nAnswer: -71.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - b - 5 = -6*a, a - 67 = -13*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l + 192 + 633 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 185136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17524.6117 + 122976.5007. Let n = 105332 - j. Let f = n - -120. What is f rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-18)*(-30)\/4. Let f = 10 + k. Suppose 2*m - 5*p = 65, -170 = -f*m + 6*p - p. What is m rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**5 - 154*v**4 + 2652*v**3 - 15606*v**2 + 4913*v = 0.\nAnswer: 0, 1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -215, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19090799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001111 (base 3) in base 2?\nAnswer: -10111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, 0.5, -259, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (8 + (-19 - 20))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -87?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58.536 + 75.4. Let r = a - 17. What is r rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*42\/147 - 0\/2) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(l**3 + 0*l**3 - 3*l**3) - 40*l**3 + 14 - 14)*(-5*l**2 + 4*l**2 + 0*l**2).\nAnswer: 38*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 0.11. Let y = -1.96 - f. Which is the second biggest value? (a) y (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90163 by -73.\nAnswer: 90163\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2697 is divided by 169.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(112)\/((sqrt(49)*-1)\/sqrt(7) - sqrt(7)))\/(-2*sqrt(72) - (sqrt(8) - sqrt(16)\/sqrt(2))*-6).\nAnswer: -1 + sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.966 microseconds in milliseconds?\nAnswer: 0.647966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25688 - -25687. Which is the third biggest value? (a) -19\/4 (b) 1 (c) -0.088 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6078469487 to the nearest one million.\nAnswer: -6078000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, -39, 2\/13?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0 - 7\/6*n**3 - 1\/10*n**5 + 1\/120*n**6 + 1\/24*n**4 - 16*n**2 + 0*n. Give j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 - 3*p**2 + 27*p - 69. Give w(3).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*h + 1646 = 7411 + 5335 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 - 9*r - 13. Let o be y(-6). Let i be 4\/(-20) + (11\/o - -1). Solve 4*q = i + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*f - 122159 + 33923 = 786*f + 388*f for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 3, a: 1, f: 10}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 - 115. Let t = -3 + 2.6. What is the smallest value in -1, t, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86906 + 10*k**2 + 260709 - 86911 - 86895.\nAnswer: 10*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2925\/(-10))\/(-9)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x**3 - 46*x**3 - 35*x**3 - 39*x**3.\nAnswer: -143*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/((-3)\/(91 + -67))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w + 4*o + 7 = 0, 0 = -5*o - 20. Let i = w + 1. Suppose m = -0 + i. Which is the nearest to -2? (a) m (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1833786, 1\/39, -3 in increasing order.\nAnswer: -3, 1\/39, 1833786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - 0.3. Let o(d) = -d**3 - 5*d**2 - 6*d - 3. Let r be o(-4). Let i = 96.2 + -96. Which is the closest to i? (a) h (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8840743, 17681484, 26522225?\nAnswer: 35362966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from {q: 1, s: 4, z: 3, v: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -3, -1, -18 in increasing order.\nAnswer: -18, -3, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3 + 66*n**2 - 2*n + 664.\nAnswer: 24*n + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 55 + 51 - 7*o**2 + 80 - 186.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.43108671414 and -3.\nAnswer: -3.43108671414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 436 + -213. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141266684?\nAnswer: 2, 13, 941, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-10))\/2 - (-6396)\/30.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 3:59 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00205436707 rounded to seven dps?\nAnswer: -0.0020544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341*i - 109*i - 9246 - 17052 = -1690*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*p + 1238 = -538 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a**3 + 23*a**3 - 8*a**3 + 2*a - 5*a**2 - 1 - 2*a**4 + 2*a + 2 in the form x*a**3 + v + l*a + z*a**4 + w*a**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i = 10*i + 220. Solve -b = -i*p + 6*p + 9, 2*b + 5 = -5*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-3)\/(3\/(-2)))*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*r - 10 + 4, r - 9 = -4*c. Let g(b) = 1 + c - 3 - 2*b. Let u(n) = 12*n - 2*n - 25*n. Calculate g(u(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/30 + 7*s**4\/24 + 2*s**3\/3 - 4*s**2. Let b be v(-5). Calculate the greatest common divisor of 76 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10406 divided by 26?\nAnswer: -5203\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-8 + -2 - (-18 + 15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 895.57.\nAnswer: 268.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 31. Let p = 13 - d. Let k = 28.00000005 - p. What is k rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -0*z - 210. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) + (-26)\/(-40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -10*p - 220, 58892*p = 58894*p - 4*k + 44 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 1776 + 4*z - 1773 - z**3 + (-2*z - 3 + 3)*((-z**2 + z**2 - z**2)*(-2 + 1 + 2) + 26*z**2 + 2*z**2 - 3*z**2).\nAnswer: -49*z**3 + z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (-3 - (10 - 17)) - 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 17, y: 2}. What is prob of picking 2 p?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 34 = 4*l, 4*c + 4*l - 34 = 22. What is the lowest common multiple of 9 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 - 74266*t**4 + 24*t**2 - 9230265*t wrt t?\nAnswer: -20*t**3 - 891192*t**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31967, -63364, -94757, -126146, -157531, -188912, -220289?\nAnswer: -251662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -13 - (-92 + (7 - -9))) + 1 + 10?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.0215 - -0.0215. Let d be -2*((-105)\/10)\/(-7). Which is the nearest to s? (a) d (b) 1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/7, 19, -56, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-5)\/50 + (-14)\/105. Which is the nearest to 2\/3? (a) u (b) -2 (c) 0.2 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 315, 0.6, -0.6636?\nAnswer: -0.6636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3928768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 439 + 82. Suppose -6*g + r - 83 = 0. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3455.4 + 3239.51. Let l = w + 230. Let i = l - 14. What is i rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 43. Let x = -8 - p. Let m be x\/(-35) - (-2)\/(-21). Which is the third biggest value? (a) -1 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112960221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 6.1. Let v be 1*-104 + -2*1. Let h = 527\/5 + v. Which is the closest to h? (a) -1 (b) g (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2301*l**3*m**3 - 7*l**3*o**2 - 13056*l**2*m*o**3 - 1655*l*m**3*o**3 - 5*l*m**2*o**3 + 53*m**2*o wrt m.\nAnswer: -13806*l**3 - 9930*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-3)*220\/220\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 44*t - 277. Let b be d(-8). Solve -5*g - b = x + 19, 3*g + 35 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.967 - -0.033. Let n = 2 - -6. Let r = 7 - n. Put -1\/6, l, r in descending order.\nAnswer: l, -1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*76\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let f(u) = -u**3 + 3*u**v - u**3. Let d be (-5)\/(20\/(-8)) + -3. Give f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, t: 1, j: 5, o: 2, m: 2}. What is prob of picking 1 t and 2 j?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*x - 27 + 27)*(-1 + 0 - 5 + 2 + 2 - 2 + (2 - 1 + 1)*(-3 + 5 - 1)) to u + p*x and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*m + 34*m - 91 = -37*m. Solve p = -3*j - 13, m*j = -2*p + 12*j + 29 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9042 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 196 = 4*k. Let z = 3 - k. Suppose 3*l - 219 = -z. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - p + 5*p + 29 = 0, -5*p - 22 = w. Suppose 2*i = -3*n - 42, -i - 64 = w*i + n. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2361331202 to the nearest 1000000.\nAnswer: -2361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 9. Let m(h) be the third derivative of -h**4\/24 - 7*h**3\/3 + 6*h**2. Let u be m(j). Put 3, u, -1 in descending order.\nAnswer: 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -478.2 + 478.228698. Round x to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 132*o + 21 = -131*o - 1, 0 = -5*h + 4*o + 81 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from ffyflfkylycyyccc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-3 - (-1 + -4). Suppose -3*a = 4*c + 4, 3*a = c + x*c + 3. Let w = 60 + a. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00065485587 rounded to five dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2764)\/12)\/((-2)\/6). Let l = c + -1285\/2. What is the common denominator of l and 129\/(-63)*-2*(-21)\/(-36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {v: 10, f: 2, c: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-64)\/4)\/4 - -3. Let f(g) = 83*g - 4. Let a(q) = 353*q - 17. Let y(r) = 4*a(r) - 17*f(r). Let d(j) = 8*j. Give s*y(w) - d(w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/286 - -5833\/1716. Suppose 5*m + 4*r = 50, -m + 33 = 5*r + 2. What is the common denominator of -51*(m\/4 + -2) and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2197521)\/(-42354) - (-1 - -53)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -34, -62, -100, -148?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064201*p**3 - 205592*p**3 + 400054*p**3.\nAnswer: 1258663*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 3*p - 38 - 2*p + 4*p**2 - 3*p**3 + 2*p + p as c*p + s + x*p**3 + r*p**2 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s - 1. Let y = -34 - -37. Let o be 0\/(y*(-2)\/3). Give b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/5 - 232*c\/5 + 13456\/5 = 0.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:53 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*1 + -5)**2 + 5 + (sqrt(1900) - (2 + sqrt(1900) - sqrt(1900))) + 1*(sqrt(19)*2 + -4)*-5)*3.\nAnswer: -300*sqrt(19) + 5844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 + 4*i + 2. Suppose -1 = c, -5*f - 2*c - 5 = 7. Calculate the remainder when l(f) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - 1.5. What is the third biggest value in 2\/11, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3741.362\nAnswer: -11224.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 41. What is the remainder when 10 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -225*u - 47. Let s be f(-3). Suppose 632*y = s*y + 160. Is 40 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 794392*r - 922646 wrt r.\nAnswer: 794392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 + 179378*g**2 - 10*g - 117001815.\nAnswer: -4*g**3 + 358756*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(6 - -4) - (3 + -15)\/(-1)) + 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -801, -873, -945?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4\/75097 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose 0 = -k*q + 3*q - 3. What is the greatest common factor of q and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*t + 10 = -4*j, 4*j + 2*t = -16. Suppose 0*r - 5*s + 29 = -r, 2*r + 3*s + 6 = 0. Let q be (-7)\/9 - (-2)\/r. Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let t(f) = f**3 + 9*f**2 + 8*f - 4. Let g be t(-8). Let w(o) = -2. Let a(c) = g*r(c) + 3*w(c). Give a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**4\/8 - 2*z**3\/3 + 3*z**2\/2 - 3. Let c(l) be the second derivative of q(l). What is the derivative of c(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207818797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q + 6. Let a be z(-5). Let l be (-116)\/a - 2\/(-9). Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2287 - 97*g + 57*g + 18*g + 21*g + 687 to the form k*g + n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 11:53 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43580143.\nAnswer: 197, 221219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q + 1. Let g be n(5). Let z = -50 - g. What is s in 23*s**z - 10*s**5 + 10*s**3 - 8*s**4 + 0*s**3 = 0?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (18 - 52) + -41?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149793065 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 + 176\/20)*20\/6. Let k(c) = c + 6. Determine k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 - -7.11. Let y = 5 - r. Let w = 0.12 - 0.12. Which is the nearest to -2\/5? (a) w (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20080 divided by -1255?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 7*j - 3*j = 463856, -j = 5. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2671 is divided by 375.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/368 and -15\/46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 359, 1288, 2763, 4724, 7111, 9864, 12923, 16228?\n\"Answer: -10*h**3 + 333*h**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 2760664?\nAnswer: 2760672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4412 - 4404. Let y = -8.9 - -9. Which is the third biggest value? (a) 3 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 7*t**3\/3 + 21*t**2 - 10*t - 9. Does 12 divide n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/120 - t**5\/60 - t**4\/12 - t**3\/2 - 2*t**2. Suppose -10*j - 120 = -8*j. Let l be j\/27 - 12\/(-54). Determine i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -97373124?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3144 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 134 = 950 - 475 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(261\/129 - 2). Let n = 795.5 + -792.5. What is the second biggest value in k, n, 4, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -16. Solve 0 = -3*f + g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2730 by -2.\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/45)\/(2\/(-70)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70150, -70880, -71610, -72340?\n\"Answer: -730*n - 69420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-19)\/((-570)\/1152) + 4\/(-10) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 plus -4752335550?\nAnswer: -4752335521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by (2 + -7)*(-6)\/(-6)*-4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Suppose 0 = k*x + j - 16, -2*x + 11 = 2*x - j. Solve 0 = x*m + 3, 4 = 3*s + 2*s + m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 69. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 - 2*t**2 - 5*t**2. Let b(x) be the second derivative of x**6\/720 - x**4\/6 - x. Let r(j) be the third derivative of b(j). What is f(r(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13801? (a) 4 (b) 0.1 (c) 2 (d) 765 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 117, 36, -2\/7, -4\/9, -2, 23, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234 (base 5) in base 2?\nAnswer: -11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2 + 778*n - 358475 = 0.\nAnswer: -1103, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 925571.6 decades in millennia?\nAnswer: 9255.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007032 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1201296 by -6.\nAnswer: -200216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2 - 11*d - 3. Let x be h(-5). Suppose 3*c + 0*c = y + 17, 0 = 4*c + 3*y - x. Solve c*t - 4 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 357652972, 357652973, 357652974, 357652975, 357652976, 357652977?\n\"Answer: x + 357652971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/2624*-16 - ((-68)\/(-30))\/(224\/20).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8112061257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4791 less than 4791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 281 + -281.151. Let d = -0.251 - p. What is the third biggest value in 5\/2, d, 7.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.866 and -0.146.\nAnswer: -1.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-54))\/(-1) - (-1 - (-118)\/117)*-61?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 362730.879 minutes?\nAnswer: 35.98520625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 666 = 5*j, 3*j - 2*t - 2*t - 406 = 0. Let b = j - 125. Calculate the smallest common multiple of 24 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from rwwwwrur?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79 - (44 + 4)) + -2 + -6 - 32?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339795 and 5265?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 814.6812 litres in millilitres?\nAnswer: 814681.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -1\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3043 (base 7) to base 14.\nAnswer: -55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, f: 1, s: 4, d: 1, u: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 671042 to the power of 1\/2, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 26. Let y = 4857 - 4856.7. Let i = -8 + 5. What is the fourth smallest value in y, v, i, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.012 (c) 3\/4 (d) 21\/4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*k*m - 2*a**3 + 5*a**2*m**2 - 217*a**2*m - a*k*m**2 - 22162*k*m with respect to k.\nAnswer: 2*a**3*m - a*m**2 - 22162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**5\/35 - k**4\/7 + 5*k**3\/21 - k**2\/7 - 26. Factor j(c).\nAnswer: c*(c - 2)*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 223*b + 4239. Calculate a(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3047.2 and 1439725363?\nAnswer: 1439722315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemsmsesmmm. What is prob of picking 2 m and 2 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 19) + (2 - 4) - (5 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(63\/6)*(-348 + 357).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2014 + -1501445?\nAnswer: -1503462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8217 and 28303?\nAnswer: 254727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/19)*g**(1\/6))\/((g*g**3)\/(g**(7\/5)\/g)) assuming g is positive.\nAnswer: g**(-2017\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 0 (c) 69 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:28 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.2154 + -0.0846. Let g = k - -47. Which is the second biggest value? (a) 1 (b) g (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 6:02 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5028 = 40*r - 8880. Which is the nearest to 0.5? (a) r (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 14 = 0. Let v = -10 + 13. Let u(k) = -k**2 + 8 - v + 22*k - 16*k. Determine u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -44, -4\/5, 0.1, -0.34 in decreasing order.\nAnswer: 0.1, -0.34, -4\/5, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 13 - 118. Let d be (2\/(-7))\/(i\/49). Let z(j) = j**2 + 4*j + 4. Let g be z(-4). Which is the closest to d? (a) -1 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/((-15318)\/(-20838)) + 119?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -6*u - 11. Let x(d) = 6*d**2 - 2. Let k(o) = -o**3 + 12*o**2 - o - 4. Let i(g) = u*x(g) - 3*k(g). Does 21 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1 - i**3 - 2*i**3 + 2*i**3 + i**2 + 5*i - 2*i. Is r(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -554253.\nAnswer: 1\/79179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -72. Let u = -11 - o. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -135 + 49 + 18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179844 and 3.\nAnswer: 179844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1031*l - 232 + 474 - 242)*(-l - l + l).\nAnswer: -1031*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.45 - 0.45. What is the third smallest value in 5, h, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2066 + -2058. Solve 3*d = 7*d - g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.472724927 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -666 + 661. Is (-183320)\/(-200) + 8\/j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 22 + 38. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: aae (base 15) to base 14\nAnswer: c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 20*d**3 + 37*d**2 - 1820*d + 1764.\nAnswer: -(d - 14)**2*(d - 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2718 and -0.3.\nAnswer: -815.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 10*x + 15. Calculate l(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4216086.1 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -394, -2, 2, 5, -2685 in descending order.\nAnswer: 5, 2, -2, -394, -2685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -12*k + 6*k. Let p = k - 115. Solve 0 = -l - 2*l + v + 1, 5*l + 5 = -p*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 310. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/10)\/((-1213)\/((-2498780)\/2472))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(99)*6)\/(4*sqrt(9)*3*4).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10510 or 10\/147?\nAnswer: -10510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 415 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.0868*46.\nAnswer: -141.9928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 478 and 544288562.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.5 - 86.6. Let n = y + 30.100286. Round n to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -161?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*z + 418*z + 450 = -426*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -3*m**8\/560 + 5*m**4\/8 - 7*m**3\/3 - 30*m. Let y(s) be the second derivative of x(s). What is the derivative of y(j) wrt j?\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 7. Let z be x(5). Let p be 4 - z*(-5)\/45*3. Solve 0*g = p*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + (-31 - -7) + 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4004, 4061, 4174, 4355, 4616, 4969?\nAnswer: 5426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 2\/11 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*1*(sqrt(832) + (sqrt(832) - (sqrt(832)*-3 + -5)) - sqrt(832) - sqrt(832)))**2*-4.\nAnswer: -480836 - 15360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.8. Let g = i + -0.1. Let r = g + -0.5. Which is the third biggest value? (a) -0.3 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169322?\nAnswer: 2, 31, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 3*w**2 - 5)*(-12 + 12 + 236*w).\nAnswer: -472*w**3 - 1180*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -16. Solve -4*f = -n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/((o**1\/o*o)\/o)))**16\/((o\/(o**(3\/5)\/o))\/((o*o\/o**(-1\/2)*o)\/o*o)) assuming o is positive.\nAnswer: o**(-139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and -2.257.\nAnswer: 0.29341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 16. Suppose w + 3*w + 4*h - 12 = 0, -4*w - 5*h = -i. List the prime factors of w*1 + (-390)\/(-10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -29*t**2 + 38*t + 5. Let q(m) = -7*m**2 - m. Let s(i) = -5*q(i) + y(i). Calculate s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/24 + 503\/6. Suppose -3*g + 12 = -24. Calculate the greatest common divisor of g and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137414319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + -3295\/16. Let j = 17 + -14. What is the third smallest value in -1, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 3*p + 18*j - 8, -p - 3*j = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -27381 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-21)*(-27)\/6. Let l(v) = 2*v. Let j be l(2). Put j, -4, t in descending order.\nAnswer: j, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -9163031 (b) -0.4 (c) -5\/6 (d) 5\/2 (e) 0.2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.3. Suppose -l + s + 2 = l, -20 = -5*s. Which is the third biggest value? (a) -2\/7 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 1, h: 1, v: 3, w: 3, l: 2}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10290 and 8918?\nAnswer: 133770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - ((-7)\/(-15))\/(-9*18\/(-1458)). Let v = -5.5 + -7. Let d = v - -12. Sort -5, d, f.\nAnswer: -5, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 12*w + 5. Let b(v) = 2*v**2 + 8*v + 3. Let x(a) = -8*b(a) + 5*k(a). Let y = 46 - 50. Determine x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1196, -4788, -10766, -19124, -29856, -42956, -58418, -76236?\n\"Answer: g**3 - 1199*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -694770, -2, -4 in increasing order.\nAnswer: -694770, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5 + 525*r + 1 - r**3 - 524*r. Let c(f) = 3*f**3 - 2*f + 12. What is 2*c(u) + 7*s(u)?\nAnswer: -u**3 + 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 71*r + 3384. Give k(-64).\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 20383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/6 + 16*w**4\/3 - 463*w**3\/6 + 215*w**2\/3 = 0. What is w?\nAnswer: -43, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 1 + 45*s - 364*s**4 - s**2 + 362*s**4 as r*s**4 + x*s + v*s**3 + u + i*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-20 + -4 + 0 + -167 + 169).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 14 + 12)*(16*q**3 - 4*q**3 + 13*q**3).\nAnswer: 250*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/17)\/r*r**(-7) assuming r is positive.\nAnswer: r**(-133\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15364 is divided by 89.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 30 = 2*x + 15, 55 = 2*x + 5*o. Solve 0 = 3*u + 3*a + x, -a - 4*a - 25 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + 0 + 3 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3 + 563486*b**2 + 79371792224*b - 2064047531936 = 0.\nAnswer: -281756, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902947467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 + -247. Which is the second smallest value? (a) k (b) 10\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -2891 (c) -4 (d) 5\/4 (e) -12\/7 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2646 divided by -2695\nAnswer: -54\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83927991.\nAnswer: 3, 7, 53, 75407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 3. Let x be f(5). Suppose -6*c = -x*c. Let w = -24855 + 24853.4. What is the third biggest value in c, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1121653 or 0?\nAnswer: -1121653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*b**2 - 1170 - 19*b**2 + 1168 - b**3 to the form y*b**3 + l + k*b**2 + x*b and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let x(k) = 8 - 17*k - 9 + 31*k + 32*k - 3. Give x(u(y)).\nAnswer: 46*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.7. Let q = f - -3.2. Which is the third smallest value? (a) 1 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1254)\/(-44))\/(-57) + 55\/(-70)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6787466 by 7.\nAnswer: -969638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -30440.3151 to the nearest ten.\nAnswer: -30440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 17, 33, 51, 71?\n\"Answer: i**2 + 11*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 45*q**2 + 99*q - 445. Give x(47).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((18\/93)\/3)\/1. Let o = -23\/124 - y. What is the smallest value in o, 4, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/42 - 41*a**6\/24 - 110*a**5\/3 - 250*a**4\/3 + 4*a**2 - 3*a. Factor q(u).\nAnswer: -5*u*(u + 1)*(u + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35250, 281869, 951250, 2254773, 4403818, 7609765, 12083994, 18037885?\nAnswer: 25682818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*l + 19028, -2*b - 4*l = -13*l - 19028. Is 134 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:08 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.2 (b) 5 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3 = 3, 0 = j - 2*m - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + -88. Sort -5, -9, u in ascending order.\nAnswer: -9, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 3*u + 4*p, u + 4*p = 2*p + 29. What is the remainder when 33 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/13 + 14*o**4\/13 - 22*o**3\/13 + 10*o**2\/13 = 0. What is o?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvivitgh. Give prob of sequence itv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-1)*-1*259\/148*8\/21\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, 67, 338, 721, 1216?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n = 52*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173\/10120 + 2\/253. Calculate the common denominator of -83\/16 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100011101001100 (base 2) in base 9?\nAnswer: -186786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(104\/6)*(-8)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37b + -1b04b?\nAnswer: -1b3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1202*p - 1151*p - 228657 - 168684 = 0. Which is smaller: 7793 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(36\/54). Sort -2, -1\/8, u in decreasing order.\nAnswer: -1\/8, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210100111012 + 1?\nAnswer: -1210100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 226*c**3 - 7*c**2 + 8*c. Let l be n(1). Let o = 224 + l. What are the prime factors of o?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 9.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 4500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1833 times 0.1681?\nAnswer: 0.03081273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9142 + -9223.89. Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -147.\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -1443*i**4\/20 + 964*i**3\/5 - 291*i**2\/2 + 6*i\/5 - 767. Factor u(l).\nAnswer: -3*(l - 1)**2*(481*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135851452 divided by 4?\nAnswer: 33962863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20 and 23\/520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06492 - -1.06492. Sort -4, -21, x, -0.5, -1 in descending order.\nAnswer: x, -0.5, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -38.17, -2\/13 in descending order.\nAnswer: 4\/5, -2\/13, -38.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a + 1. Let h be l(-2). Suppose 5*v = 28 + h. Solve -v = -4*t + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551.07351us to days.\nAnswer: 0.000000006378165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 5. Let x be j(0). Suppose 0 = x*g - 0*c + c - 21, -13 = -3*g - c. Let v be 8\/12 + (-43)\/(-3). Solve g*q - q = v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814860562\/11 smaller than 74078233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-7) + (-24)\/63. Let q = 0.1 - 0.2. Let k be 3 - (0 - (-34)\/14). Sort k, q, a.\nAnswer: a, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 557086278*p**3 + 66091368*p**2.\nAnswer: 3342517668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2935, -11693, -26295, -46747, -73055, -105225, -143263, -187175?\n\"Answer: -q**3 - 2916*q**2 - 3*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5837 is divided by 117?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.1 - -23. Let j = 2.2 - f. Which is the biggest value? (a) 19 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-886)\/136 + 19\/38 + (-5)\/((-20)\/24)?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 785978\/13 and 60460 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/7866)\/((-75)\/(-90)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9487 = -13*k + 4709. Calculate the remainder when k is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522699 divided by 3.\nAnswer: 174233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.4 + -6.34. Let d = 1 + g. What is d rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 13*o**2 + 13*o + 16. Let j(x) = 2*x**2 + 6*x + 6. Calculate the least common multiple of i(14) and j(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p + 12. Suppose a + 3*q + 1 = 0, 3*q - 40 = 5*a - 17. Let k be l(a). Let z be (0 - 3 - k) + 1. Calculate the highest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04779 and -4212.\nAnswer: -201.29148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-6 - 1450\/(-207)). Let u = 3771\/56 - 3910993\/57960. Let n = u + t. What is the closest to -2\/7 in -4, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 26 = 11*w + 5*f + 20 - 41, 0 = -2*f + 6 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33357 times -0.3\nAnswer: -10007.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2933 (base 16) to base 7\nAnswer: -42515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 604 and 23771326.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.85827 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*j**3*u**4 - 39*j**3*u + 23394*j**3 wrt u.\nAnswer: -564*j**3*u**3 - 39*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*g**3*o**2 + 68*g**2*o**2 + 193*o**2 wrt g?\nAnswer: 21*g**2*o**2 + 136*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 35. Let w be x(-14). Suppose -w = -q - l + 2, 0 = l + 1. Calculate the remainder when 27 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/15 + g**4\/2 + 13*g**2. What is the second derivative of b(i) wrt i?\nAnswer: 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + 193. Suppose -2*r = -4*r - 368. Let n = r + z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -27*n**3 - 11*n**2 + 5*n + 7. Let r(u) = 14*u**3 + 6*u**2 - 3*u - 4. Give -6*m(c) - 11*r(c).\nAnswer: 8*c**3 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hddhhh. What is prob of picking 3 h and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 80*y + 260. Determine g(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 - (-7)\/((-49)\/(-324)). Suppose -184 = -h*j + 38*j. What is the remainder when 36 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 72, 126, 192, 264?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -16. Let j(o) = o**3 - 6*o**2 - 7*o + 6. Let t be j(k). What is the first derivative of -3*g + 5*g + 1 - t + 2*g wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4347\/345*2\/8*(-36)\/(-21).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 15*n - 200. Let m(v) = v**3 - 5*v**2 - v + 7. Let q be m(5). Suppose a + 74 = q*a. What is the remainder when a is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -3*m**5\/20 + m**4\/2 + m**3\/2 - 3*m**2 - 26*m. Factor f(s).\nAnswer: -3*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 29*h + 31. Let m be s(0). Solve -32*r + m*r = -5*t - 25, 3*r - 5*t = 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 128.3, -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23741 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d8e (base 15) to base 13.\nAnswer: -2c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/6)\/((-14)\/(-1890))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 11. Is 14 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57 and 2?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008 less than -106594.16?\nAnswer: -106594.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 204 = -9*p + 25*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 121 - 228 + 230 to the form m + t*v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/9)\/5*-3. Suppose -5*k = -10*k + 35. Let l be 2\/(-33)*(k - 4). Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018657169 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 5*w - 2 + 29. Let k = 3 - 3. Let d be z(k). Calculate the greatest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(1 - 7*h - 1 + 1 + 12*h - 1 + (2*h - 2*h + h)*(-4 + 1 + 2)) to q + d*h and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:09 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-30)\/(-4))\/(-5)*-6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f**3\/19 + 49430664*f**2\/19 + 35307606*f\/19 - 14123044\/19 = 0.\nAnswer: -3530761, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let q(r) = -5*r. Let w(k) = 6*k. Let i(v) = 3*q(v) + 2*w(v). Calculate z(i(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let l = 4.97 + 0.03. Which is the second smallest value? (a) p (b) -0.11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = -5*x, 0 = 5*x. Suppose 4*w - 8 = -f*w. Let o be (-660)\/(-4)*w\/3. What is the greatest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-133)\/(-147))*(-6 - -3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-12)\/(2 + -4). Let x = 4 - q. Let o(i) = i**2 + 3*i + 3. Determine o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 5, 12 in descending order.\nAnswer: 12, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 33*b**2 + 284*b - 12406. Give w(35).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -18. Let m be o\/15*5\/(-2). Is 18 + (-6)\/(m - -1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0.3, 2, -0.3, 0.59?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -8*z**3\/3 - z**2 - 2*z. Let n be i(-2). Let s = 91\/3 - n. What is the closest to s in -5, -3\/4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4893 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-3 - (3 - 8). Let q(f) = 0*f**w - f**2 + 6*f**2 + f**2. Let i(h) be the third derivative of -h**4\/12 + 2*h**2. What is i(q(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/2 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:11 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 3433627 - 272310 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 25. Let c = 0.7 + f. Let g = c + 1.7. What is the nearest to 4 in g, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 45*w**3 + w**2 - 7*w + 32. Is h(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 18. Let y be r(-6). Suppose -3*h - 4*c + 13 = -y*h, 2*c + 39 = 5*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let k = 10 + -6. What is l(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*b + 1729076 = -3195674. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 2. Let q be t(-1). Which is the nearest to -5? (a) q (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 9*t + 11. Let i be g(8). Let a = i + 16. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**4 + 30*q**3 + 5*q + 5. Let h(a) = -5*a**4 + 28*a**3 + 6*a + 6. Let k(j) = -5*h(j) + 6*m(j). Factor k(w).\nAnswer: -5*w**3*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.059459, -1\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvrvpvhrdvpp. Give prob of picking 1 v, 1 d, and 2 r.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -65286?\nAnswer: -61\/65286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 + 6*w + 24. Let i be p(-4). What is the greatest common divisor of i and 17072?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178206?\nAnswer: 2, 79, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/295313 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*c**3*o - 37*c**3*z - 4*c**2*o*z + c**2*o + 3*o*z - 2 wrt z?\nAnswer: -37*c**3 - 4*c**2*o + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10304 take away -5225840161?\nAnswer: 5225829857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 392, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223417584 a multiple of 2529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -248477?\nAnswer: -248473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*f + 7 + 7, 2*f + q = 5. Calculate the least common multiple of 11 and (f + 1 + -4)\/(12\/(-48)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23747760*d - 13277642 wrt d.\nAnswer: 23747760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 15*r - 4. Let v(l) = -8*l. Determine v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1203, -634, -5, 714, 1553, 2542, 3711?\nAnswer: 5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1128400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 + 4*z + 4. Let j be r(2). Suppose j = 130*g - 127*g - 9. Solve g*k + k - 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 3. Let q = -1 - -4. Let r = q + 2. Let k be (-189)\/(-35) + (-2)\/r. What is a(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122 is divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1064232766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 21 = -3*q, 19 = 2*q - 7*m + 4*m. Which is smaller: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-15)*10\/4. What is the closest to t in 0.5, 0.2, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109976728*i**2 + 96886268*i.\nAnswer: 219953456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 2. Let o be (-9)\/5 - (5 - i). Which is the third smallest value? (a) 0.1 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a911b (base 13) in base 16?\nAnswer: -a5405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 13*g**2 - 17*g + 4. Calculate t(12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 3*i**2 - 5*i - 4. Let k(w) = w + 3. Let g be k(-6). Calculate the remainder when 19 is divided by j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, h: 4}. What is prob of picking 4 m?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 42.26. Let r = -0.06 - s. Which is greater: r or -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 87 - 42)*(-2*p - 2*p**3 + 2*p) + (-2 + 6 - 1)*(0*p**3 - 5*p**3 + 4*p**3).\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 2834502?\nAnswer: -2834501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60667860, -60667861, -60667862, -60667863, -60667864?\nAnswer: -60667865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1875663803?\nAnswer: 13, 144281831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 19*u**2 + 632*u - 12151. Give l(12).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*j + 13*j + 30*j)*(-7 + 4 + 2) - 1 + 8*j - 3 - 7*j.\nAnswer: -65*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-20))\/(8*3\/(-180))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 242270\/9251 and 26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 88*g + 647. What is the remainder when 164 is divided by i(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-4) - (-7)\/(-14). Let m be 9\/6*n\/1. What are the prime factors of (-9)\/m - 1\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/11 + 1*(-19)\/(-209). Solve 3*x + 10*x + 13 = b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(968) + sqrt(968)) + sqrt(968))\/(sqrt(324)*1).\nAnswer: -11*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11477, -11461, -11445, -11429?\n\"Answer: 16*j - 11493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -231 + 1\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 3*c - 7. Let a be g(6). Let s = a + -7. Suppose -25 = -5*x, -30 = -2*v - 0*x - s*x. Solve -v*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703124877 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11511240310 - -2?\nAnswer: -11511240305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03217 take away 24.28834593?\nAnswer: -24.25617593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 31 = -3*v, 0 = v - t - 0*t - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6200 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 - t - 1. Suppose 20*u = 15*u + 5. Give i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*v = -1 - 9, 2*f - 16 = -2*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 79*r**2 + 9*r + 10. Let g = 6 + -4. Suppose 0 = g*v - 10*v + 80. Let d be t(v). Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 3*u + 7. Let s(r) be the first derivative of 2*r**3\/3 + 7*r**2\/2 - 10*r + 22. Let j be s(-5). What are the prime factors of x(j)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 13 + 140*w**2 - 20*w**2 - 13 + 80*w**3 + 31 = 0. Calculate w.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7da400 + 3?\nAnswer: 7da403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:57 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*-0.1.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44.7 (b) 5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:24 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-177)\/(-39) + (-8 - 35\/(-7))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 - 116. Solve -8*u = -4*u + a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -505\/6 - -84. Let f = -1137 - -1141. What is the third smallest value in f, r, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:39 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8514 and 1518?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8832 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.731719 centimeters to meters.\nAnswer: 0.06731719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(117) - 4*sqrt(117)*1) + sqrt(117))\/(sqrt(324)*-1).\nAnswer: sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. What is the smallest common multiple of 0 - (i\/3 + -3) and (-1)\/(2\/(-44)*2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yho when three letters picked without replacement from ocoyooociooohoyccy?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p - 1. Let o be -1*(-2)\/4*-12. Let j(m) = -3 + 721*m - 376*m - 365*m. Let x(d) = o*j(d) + 17*q(d). What is x(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -83440431.\nAnswer: -1\/83440431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32266653 + 62?\nAnswer: -32266561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.648 - 0.32. What is the second biggest value in w, -1\/2, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -203 (c) 1\/10 (d) 5 (e) -1 (f) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*d*o**4 + 23*d*o + 844*d + 1 wrt o?\nAnswer: 92*d*o**3 + 23*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/44*((-6)\/(-9) - 0). Which is greater: p or -2.7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(((-21)\/294)\/((-1)\/(-14))). Let a = -249.222 + 249. Is a >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268 divided by -10750\nAnswer: 134\/5375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986 > 32860\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 852? (a) 5 (b) -2\/81 (c) 1\/8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409795 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71039 by 4.\nAnswer: -71039\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2772 and 66.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2982661\/60 + 49713. What is the common denominator of 119\/24 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*-7*18\/63 - 4*1. Solve g*i - 10*i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 + 472*h + 928 = 0 for h.\nAnswer: -116, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -2 (c) 15 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1127909\/70 or -16112?\nAnswer: -16112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 3. Let t be v(-2). Let f be (-3)\/3 + (-2 - -4). Let q = f + t. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1980 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*4 + sqrt(567) - 5*sqrt(175).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 2*-4 + 128\/32. Put o, 16, -5 in decreasing order.\nAnswer: 16, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 73 = 178. Calculate the remainder when 39 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4300105.219 to the nearest 100.\nAnswer: 4300100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -39. Let p be (h\/3 - -1)\/(2\/(-6)). Suppose -146 = -p*u + 68. Calculate the remainder when u is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -2110.15847581188.\nAnswer: -2106.15847581188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a - 35*a + 2*a + 8*a + 5*a - 4*a + 10*a.\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**6\/9 + x**5\/2 - x**4\/2 - 23*x**3\/9 + 4*x**2 - 3*x\/2 + 11060. Suppose u(i) = 0. Calculate i.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44216894 and 35232.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 - 49386798*m - 203254651391067 = 0.\nAnswer: -8231133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2\/75, 7\/3, -2, -1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/6 + 61*x**2\/2 - 21*x. Let t be l(-16). Solve -5*f + 5*q = -t, -6 = f + q + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240*l**4 - l**3 - 514 - 8*l**2 + 10*l**2 + 0*l**4 wrt l.\nAnswer: 5760*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/5 + 94*q**3\/5 + 24392*q**2\/5 - 24664*q\/5 - 9792 = 0.\nAnswer: -90, -1, 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -16. Suppose -25 = 2*c - s*c + 5*z, 2*c = -3*z - 15. Suppose -7 = -c*n + 4*n + 3*r, r = 4*n - 13. Solve -n*g - 2 = 0, 2*g - 5*g = 5*h + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 778?\nAnswer: -3\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 14 - 4. Let r = 44 + -52. Is 11 a factor of (-4)\/r*100\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*f + 3*o, 0 = f - 5*o - 9 - 21. Solve -5*v = -3*m + 4 - 34, -f*v - 4*m - 5 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054 (base 11) in base 9?\nAnswer: -3653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = m + 3*m + 8, 2*f = -2*m + 2. Suppose -f*q = o - 3*q - 14, -q = -o - 2. Let n = o + 17. Solve w = -5*z - 23, -2*w + 4*z - z + n = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-252)\/(-189) + (-519041)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - 2*m**3 + 4*m**3 + (863 - 116*m - 863)*(3*m**2 - 2*m**2 + m**2).\nAnswer: -233*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, 2, 61.\nAnswer: 1\/5, 2, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by 3?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + -5 + 1 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -123. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631106837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -22*w - 109. Let l be n(-5). Find the common denominator of 49\/16 and 343\/(-404) - -1*(l + 0).\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 703*x*z**2 - x*z + 4*z - 2 wrt z?\nAnswer: 1406*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7005 divided by 741?\nAnswer: 2335\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:32 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, 1261, 69, -5 in descending order.\nAnswer: 1261, 69, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052232121 (base 6) in base 10?\nAnswer: 11590609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300)*-4 + 5.\nAnswer: -40*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 147557 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1\/3)\/((-5)\/90). Let d be -3*60\/(-54)*h. Is d greater than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26413\/4 - 6603. Which is smaller: -2662 or d?\nAnswer: -2662","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -28*v - 32. Let o = -90 + 85. Is x(o) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3702 = 2*h - 2*k, -k - 5545 = -123*h + 126*h. Is -1848 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**4 + 436844*i**2 - 332437018*i wrt i.\nAnswer: 132*i**2 + 873688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5933 + 10818. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 2*l - 2*l**2 + 12*l**2 + 3*l + 1 + 6*l**2. List the prime factors of v(4).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52*(-14)\/(-196)*8\/(32\/(-14)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 4*c**2 + 4*c + 14. Let j be g(5). Let o be (33 + (-2)\/(-2))*(-23)\/46. Let s = j + o. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z**5\/7 - 2*z**4 - 12*z**3\/7 + 24*z**2\/7 + 16*z\/7 = 0.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -750?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + t - t. Let x(j) be the second derivative of -j**3\/3 - 5*j. What is x(v(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 20\/1009?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, -2\/9, 2\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7918631?\nAnswer: 7, 499, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2280 = -3*i + 5*s, -1520 = -2*i + 3*s + s. Let b = 6021\/8 - i. What is the common denominator of 49\/18 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.1 and -2747229?\nAnswer: 24999783.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-896)\/2736 - (-4 - -1)*(-6)\/(-81)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 470*q**4 - 469*q**4 + 1287*q - 1286*q - 1354 + q**2 in the form z*q**2 + d*q**3 + w + u*q + m*q**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 140*u. Let n(s) = s + 50532. Give f(n(k)).\nAnswer: 140*k + 7074480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12896 divided by -13\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - 2. Let y(h) = -82*h - 19. Let u(m) = -7*t(m) + y(m). Let r(b) = 329*b + 49. Give 5*r(x) + 49*u(x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -1172?\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 425210 rounded to the nearest 1000?\nAnswer: 425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 25*b**3 + 18*b + 18. Let v(m) = 3*m**3 + m + 1. Let c(f) = 2*n(f) - 30*v(f). Give c(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.037? (a) -0.2 (b) -2\/3 (c) 0 (d) 2 (e) 0.091\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11852899 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.001 and 457.9?\nAnswer: -0.4579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 4:57 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 44*o**2 + o - 22. Let m be h(22). Is m equal to -10\/2037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 y when three letters picked without replacement from {j: 4, k: 2, r: 2, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377 = 4472*i - 4421*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 6. Suppose 3 - 1 = f. Let b be (3\/(-6)*0)\/f. Give o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009815 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrdldrnrpprnrdrnrdd. What is prob of sequence rndl?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 24. Let h = -82 - -573\/7. What is the third biggest value in d, h, -0.18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(sqrt(144)\/(sqrt(12) - sqrt(12)*2)))\/((sqrt(108) - ((sqrt(108) - sqrt(108)*-2) + sqrt(108)))*-1).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m + 140 = 140 - 156. Which is the fourth biggest value? (a) 7\/3 (b) 0 (c) m (d) -24 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -12. Suppose 42 = -k*n - 3*v - v, 0 = 4*n - 4*v + 36. Let r be (-1250)\/n - 12\/78. Calculate the greatest common factor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14014367813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5051.395 from 0.\nAnswer: 5051.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 29*h**2 + 2*h + 835. Give k(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 19 = -a, -a - 2*a = 4*m - 76. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88923 and 7206?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/(-28))\/((-2)\/(-217)). What is the second derivative of -n*d + 65*d**4 - 45*d**4 - 200*d**4 wrt d?\nAnswer: -2160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 782, -5, 4, -4, -1 in descending order.\nAnswer: 782, 4, -1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -1.3. Let t = 86 - 89. What is the biggest value in -0.4, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 195*t + 66*t + 17 - 246*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-63)\/105 - (-96)\/10. Let p be (21\/b + -3)\/((-4)\/(-18)). Let k(w) = -2*w + 1. Calculate k(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 39. What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:25 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*sqrt(847)*2*1*-4)**2*3.\nAnswer: 5854466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 a when four letters picked without replacement from {p: 6, a: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2709612 and 125\/23031702.\nAnswer: 46063404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 6182 + 12368 - 6186.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 + 333385*m - 13327400 = 0.\nAnswer: 40, 66637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:36 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*r + 294 - 254 = 0, q - 40 = 4*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5651 - -9137. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:39 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 + -49. What is the second derivative of -11 - 48*c**3 + 43 - c + 114*c**3 - b wrt c?\nAnswer: 396*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 - g + 10*g**2 + 3*g - 8*g**2. Let c(p) = -6*p**2 + 5*p. Let t(n) = n + 15. Let m be t(-8). Determine m*j(d) - 3*c(d).\nAnswer: -3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 232489 and -21.47079.\nAnswer: 232467.52921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 6*m**2 - 3*m + 14. Let x be i(7). Find the second derivative of 19*s + 41*s - 14*s**3 - x*s wrt s.\nAnswer: -84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = t + 3, 0*y = -3*y + t + 3. Suppose -5*v - 9 + 19 = y. Let b = -9 + 14. Sort v, -3, b in descending order.\nAnswer: b, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102\/43? (a) -0.04 (b) -1\/6 (c) 578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2593, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 1 + -1 + 3. Suppose -4*i + 8 + 0 = f. What is the derivative of 1 - 1 - 4*q**i + 9*q**2 + 3 wrt q?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 2*l - 20. What is b(-5)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -3, -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 8*d**2 - 3*d. Give f(-11).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 45386151 * -0.3\nAnswer: -13615845.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*s + 24*s + 13*s - 360 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18 + 3*i + 45 - 18 + 10. What is the remainder when w(15) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Suppose -q*k = 5*o - 1055, 3*o - 407 = o - 5*k. Suppose 3*m = 6*m - o. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let t(u) = 2*u - 12*u + m*u + 5*u. Let y be t(-5). Put -3, y, -1 in ascending order.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2153072 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.873 and -1.\nAnswer: -3.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5253411 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**5\/20 + 3*g**4\/4 + 4*g**3\/3 + 6*g**2 - g. Let q = -62 + 54. Calculate j(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**7\/210 + p**6\/40 + p**5\/20 + p**4\/24 + 3*p**2. Let w(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + l + 2 - 1, 5 = 5*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15 - -7) + 12 - -2. What is the hundreds digit of -3*(-1772)\/w - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3718, -7445, -11138, -14779, -18350?\n\"Answer: 3*m**3 - m**2 - 3745*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.222 minus 18357847?\nAnswer: -18357847.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/((-22)\/(-66)). Which is the nearest to -1? (a) -14 (b) 0 (c) z (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3792 or 1?\nAnswer: -3792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/15 - (-193)\/5 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10536 = 91*b - 97*b. Suppose 7*h + b = 11*h - 4*l, -5*h - 3*l + 2203 = 0. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0 + 49*w**2 + 1\/21*w**5 + 0*w**3 - 3\/28*w**4 + 0*w - 1\/420*w**6. Factor h(u).\nAnswer: -2*u*(u - 9)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*(-150)\/20. Suppose -w = m + w - 56, 0 = -2*w - 2. Suppose -r*q - 8 = -m. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 787 + -2362\/3. Which is the closest to -2? (a) -0.3 (b) -0.5 (c) -5.7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/7 (c) -0.91 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -6. Suppose 5*t + 4*a - 16 = 7*t, 0 = -4*t - 2*a + k. Let f = 0 + 0. Solve f = 2*b - t*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (671\/55 + -12)\/((-15)\/(-25)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 62. Let d be p(-10). Let f(g) = g - 4. Let y be f(2). Put y, d, 1 in decreasing order.\nAnswer: d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/280)\/(-1 + (-18)\/(-176)*10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(11) - (1 + sqrt(539))) + 1 - (3 + sqrt(275) + -3)**2).\nAnswer: -273 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000089101563 to 7 decimal places.\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1985726 > -1985726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10789 is divided by 237.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/135 and -71\/225.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + (sqrt(612) - (1 + sqrt(612))) - sqrt(612)) + -5).\nAnswer: -12*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4856*z + 9692*z + 13*z**2 - 4836*z.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73003*k**3 - 72939*k**3 + 145933*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3832 + -3790. Suppose 4*z - z = 5*d + 298, 113 = -2*d - 5*z. Let a = -31 - d. Calculate the greatest common divisor of x and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128950 rounded to the nearest one thousand?\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-5)*1\/1. Suppose -a*v - 2*o = -6, -2*o - 2 = 8. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*i**5 + 16*b + 10*i**5 + 2*i**2 + 4*i wrt i?\nAnswer: 40*b*i**3 + 200*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*w + 55 + 17, -4*o + 72 = -w. Suppose 2*a - 2*d - o = -a, -2*a = -4*d - 20. Solve 1 = 3*s - a*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 96728.7 milligrams?\nAnswer: 0.0000967287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + k - 891*k**4 + 1662*k**4 - 2*k**2 + 996*k**4 as v*k + f*k**2 + w + x*k**3 + i*k**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*c**2*s**3 - 3*c**2*s**2 - c**2*z + 125*c**2 + 10*c*s**3*z + 2*s**3*z + 2*s**2 wrt s.\nAnswer: 1074*c**2 + 60*c*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -55*j**2 - 65*j + 540. Let d(z) = 9*z**2 + 11*z - 90. Let v(t) = 25*d(t) + 4*n(t). Factor v(i).\nAnswer: 5*(i - 3)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.97326+7\nAnswer: -28.97326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1270)\/(-106) - ((-11984)\/(-428) - 2*8)?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 9*z**3 - 6 + 8 to u + n*z**2 + q*z**3 + l*z and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -728 times -1348.7\nAnswer: 981853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -5553\/1069?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = 3*i + 20, 0 = 4*i - 4*c + 16. Let p be 3\/i*1*0. Suppose -r + 1 = -p. Solve d - r = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 60?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - ((-1 - 36) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2297*v + 64710. Calculate i(-28).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/920447 bigger than 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/3036*-924 + (-95)\/8.\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43529 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-5)\/(5\/(-2))). Let m = b - -9. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 3*a + a)*((-5*a + 3*a + 4*a)*(-4 + 2 + 4) + a + 49 - 9*a + 9*a).\nAnswer: 15*a**2 + 147*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-14 - -12) + (13 - -1) - 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135 is divided by (-2)\/(-3)*2*47499\/284.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.31028*-5.\nAnswer: 96.5514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + h**2 + 4*h - 4. Let q(z) = -2*z**2 + 4*z - 3. Let p be q(1). Let v(g) = g**3 + g**2 + g - 1. Determine p*u(i) + 4*v(i).\nAnswer: i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**3 + 97*y**2 - 13*y + 15. Let i be r(12). Solve 3*q = -3 + i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2\/7 + 577216*u\/7 - 12696816\/7 = 0.\nAnswer: 22, 144282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*f**3 + 72*f + 71*f - 142*f + 1 - 419*f**3 to q*f + j + d*f**3 + o*f**2 and give d.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293300 bigger than -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 2. Let l be b(-6). Let m(q) = -q**2 - 7*q + 7. Let y be m(l). Let w be 50\/2 - (2 + y). What is the highest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2*l**3\/3 + 7*l**2 - 10*l + 41. Let w(j) = -j. Let n(t) = -2*h(t) - 12*w(t). Factor n(m).\nAnswer: -4*(m - 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 121229082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5121335 * 1.1.\nAnswer: 5633468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -r - 12, 3*a - 13 = 3*r - r. What is the remainder when 19 is divided by (20\/6)\/(r\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/7)\/f**6*(f**(-2\/23)\/f)\/f**(3\/16))**(1\/8) assuming f is positive.\nAnswer: f**(-20211\/20608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648270007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133318976.\nAnswer: 2, 7, 523, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + x**3)*(-x + x - 2*x + (-2 - 1 + 1)*(-1 + 1 + x) + 3*x + 8*x + x) to the form c*x**3 + j*x**2 + s + n*x**4 + m*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 406142.6t in grams?\nAnswer: 406142600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2732.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 2\/7 - (68\/(-7) + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 (base 11) in base 7?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/21)*k)\/k**(10\/9)*(k**(-3)*k)**(-1\/53) assuming k is positive.\nAnswer: k**(-404\/3339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 1175, 2648, 4707?\nAnswer: 7352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 2008, -16 in ascending order.\nAnswer: -80, -16, 2008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18464 is divided by 1528?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82590 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-35)\/(-26) - 12\/8. Which is the biggest value? (a) w (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/72 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*t - 1. Suppose 2*q + 0 = t. Is q at most as big as -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1504, 6057, 13646, 24271?\n\"Answer: 1518*m**2 - m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 433972528 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89\/((-22)\/(-1782)*(-3)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -410*m + 1044. What is the ten thousands digit of c(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 + (10 - 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - q + 155, 0 = -2*z + 3*q + 67. Let v = -26 + z. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfiq when four letters picked without replacement from {m: 3, h: 1, q: 1, c: 2, f: 2, i: 9}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:26 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8117 * 0.04\nAnswer: -324.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 4) to base 7.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 11:00 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-6)*5*(-81)\/540.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**7\/840 - f**6\/60 - 7*f**5\/120 - 7*f**4\/24 + 5*f**3\/6 - f. Let k(i) be the second derivative of y(i). Calculate k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 533\/6 + -89. Let j = -86.8 + 91.8. What is the third smallest value in j, -5\/19, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29590 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -1\/2*i**4 - 2*i - 7\/20*i**5 - i**3 + 0 - 3*i**2. Let v(o) = -8*o**3 - 7*o**2 - 7*o - 7. Calculate 7*n(m) - 6*v(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 55\/3251, -9?\nAnswer: 55\/3251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4516 + -3807512.\nAnswer: -3802996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8388 and 5592.\nAnswer: 16776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*i, 2 = -2*z + 3*i + 3. Let d = 0.17 + -0.47. Put 3\/5, z, d in descending order.\nAnswer: 3\/5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/6351 and -35\/26.\nAnswer: 165126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/23)*l**(4\/3)*l*(l\/(l**(3\/5)*l))**(-44) assuming l is positive.\nAnswer: l**(9883\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = 2*o, 0*n + 2*o + 8 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 17597*w - 17600*w. Factor w - 1\/2*t**2 + 25\/2*t.\nAnswer: -(t - 26)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 13*f**2 - 10*f - 10. Is 12 a factor of a(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 4. Let a(z) be the second derivative of z**4\/12 + 2*z**3 - 33*z**2\/2 - z. Suppose -5*t - 4*v = -4*t - 2, -4 = -v. Let r be a(t). What is p(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 46*v**2 - 311*v + 15. Calculate w(-7).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**2 - 400*u + 623*u - 237*u.\nAnswer: -27*u**2 - 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*u + 229 + 57 = 0, -1 = -u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 148 = c - 142, 3*f - 3 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 15*k**2 - 17*k + 10. Determine w(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/1440 + n**4\/96 - n**3\/6 - 10*n**2. Let m(t) be the first derivative of l(t). Factor m(o).\nAnswer: -(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20291*j = 17840*j + 34314 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 48. Let p be c(-13). Suppose 0 = -p*a + 4*b + 4 + 8, -15 = 2*a + 5*b. Solve -4*j + 3*m = -2*j, a = -3*j - 2*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 33 + 41 - 115 + 34*r.\nAnswer: 34*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -2\/7 (c) -3580407\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.31 * 3\nAnswer: 6.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 2 + (1 - 1 - 1)*(1 + 0 + 0))*(0*t - 4*t + 6*t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/((-32*29\/2552)\/(48\/(-10)))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5127 * -0.08244.\nAnswer: 422.66988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/108 and 415\/(-144) - -2 - -1?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 3*s**3 - 385346*s + 385228*s + 2*s**2 - 2*s**2 + 4 - 2*s**3 as g*s**2 + c*s + x*s**3 + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6048) - 4*sqrt(6048)*1)\/(-2*((sqrt(216) - sqrt(216)*1) + sqrt(216))) + -3.\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 19. What is the third smallest value in 3, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96c7 (base 14) in base 15?\nAnswer: -7ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -135186\nAnswer: 2\/22531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 9. Let l(b) = 17*b + 369. Let n(y) = 4*y + 81. Let d(j) = -2*l(j) + 9*n(j). What is 4*d(t) + 5*s(t)?\nAnswer: 3*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.577687 - -7.375157. Let j = 32.2 + q. Round j to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*j + 19, 2921*d - 2923*d + 5 = -3*j for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295.63 + 297. Let s = i - 1.47. Let z = 2 + -2. Which is the closest to z? (a) -2\/3 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9081 (base 13) in base 3?\nAnswer: 1000021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1154221550 (base 6) to base 2.\nAnswer: -110010111110010000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**3 + 0*l**4 + 0*l + 13\/30*l**5 - 13*l**2 + 0. Let o(q) = 2*q**2. What is o(m(b))?\nAnswer: 1352*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.098711 + -24?\nAnswer: 262.098711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84705 - -84707. Solve -j**z + 1 + 1\/6*j**3 - 1\/6*j = 0 for j.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loezlozoltvleztelle. What is prob of sequence lzez?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 - 3*y + 3. Let c be (5\/3)\/((-17)\/51). Let j(m) = 7*m**2 + 5*m - 5. Calculate c*g(l) - 3*j(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-11 - (-72835)\/2205).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174.9 - 172.8. What is d rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 3*a + 0*a + (0 + 1 - 2 + (-1 - 1 + 4)*(-2 + 3 + 0) + 9 + 0 + 5 + 0 - 2 + 0)*(-36*a + 0 + 3 + 40*a) in the form t*a + n and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**1*w)**45\/((w*w**0)\/w)**(-1\/79))**0)**50 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**4\/4 + v**3\/3 - 65*v**2\/2 + 487*v - 1. Let l(q) = 2*q. Determine l(w(t)).\nAnswer: -6*t**2 + 4*t - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*z - 6 = 0, z + 2 + 3 = -2*v. Suppose -12*f + 12 = -36. Suppose -f*p = 0, 0*p + 2*p - 7 = -j. Put j, v, 0 in decreasing order.\nAnswer: j, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**0))**(2\/83))**(-1\/18)\/((o**1)**(-1\/84)*o**(-2\/3)\/o**(1\/15)) assuming o is positive.\nAnswer: o**(313\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1859 + -0.02?\nAnswer: -1859.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-1 - (-2 + 3)). Suppose k - 21 = -z*k. Let f(q) = q + 3. What are the prime factors of f(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 times 1005?\nAnswer: 67335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -3*l**6\/40 - l**5\/60 - l**4\/8 - l**3\/3 + 11*l**2. What is the remainder when 25 is divided by t(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43736 and 7?\nAnswer: 43729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.3165ml in litres?\nAnswer: 0.3673165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273039632 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -10)*4\/(-6). Suppose 5*g - 50822 = 4*p, -4*g + 3*g - i = 0. Is p\/(-20) + 6\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1713358 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.691 not equal to -1\/167408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3 - v - 8 - 1 + 7. Let d be s(-5). Suppose d = -0*a - a + 3*a. Solve -r - 2 = -a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 92. Let z(s) = 1. Give d(v) + 4*z(v).\nAnswer: -3*v - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j*u*z + 6*j*z + 7*j - 2643875*u*z + u + 566816*z - 1 wrt u?\nAnswer: 6*j*z - 2643875*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 7. Let u(l) = -l - 2. Let d(h) = -14*u(h) - 4*v(h). Let f(b) = 20*b**2. Calculate d(f(m)).\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760 = 8*w + 528. What is the greatest common divisor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70703, -565690, -1909223, -4525574, -8839015, -15273818?\nAnswer: -24254255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288))**2 - sqrt(14)\/sqrt(7)*-1) + sqrt(800)*-2*5.\nAnswer: -223*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/11338 + 158002\/1037427. Let v = d + 1\/61. Let x be (-4)\/6 - (-32)\/39. Sort x, 0.4, v in decreasing order.\nAnswer: 0.4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1113189507*t**2 + 77052*t + 4\/3.\nAnswer: (57789*t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13*r + 12*r = 15, 0 = -o - 4*r - 18. Suppose -3*v + 21 = c - 1, 5*c = 5. Solve -o*l = -3*y - v, 2*y + 3*l - 1 - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2100*r - 2849 - 16084 = -719*r + 10068 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*p - 113 - 62. Suppose 19199 - 64 = p*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8710 and -61\/670.\nAnswer: 8710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -29?\nAnswer: 15\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 11. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 - 4*g + 20. Give o(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r + 147*r - 18*r + 6423.\nAnswer: 69*r + 6423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 11:48 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12567 divided by 71.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*s = -538*s - 98 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-5)\/(10\/(-48)). Suppose 0 = 4*h + 85 - l. Let w be (2000\/30)\/(2\/h). Round w to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67369347 times 2\nAnswer: 134738694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from oovofooiofvovovv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 41302 (base 5) to base 10\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15723890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - 2*y**4 + 3*y**4)*(7*y - 8 + 11*y - 2*y).\nAnswer: -16*y**5 + 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183810 divided by -1671.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - -2 - 1\/(-1). Let j = w - -13. Calculate the remainder when 22 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/380160 and -79\/48.\nAnswer: 380160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**5\/15 - 5*g**4\/12 - 174. Factor l(f).\nAnswer: f**3*(f - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 69040549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 2*h - 3*h)*(-2*h + 3 - 3)*(83 - 32*h**2 - 83)*(0*h - 3*h + 2*h).\nAnswer: -256*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-28)*36\/(-36).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1900) + 1.\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.027 - 0.217. What is the second biggest value in -7, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5548 + 5546. Which is the second biggest value? (a) -348 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5643)\/(-684))\/((-12)\/16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -2*x**6\/3 + 32*x**5\/5 + 3*x**4 - 88*x**3\/3 - 32*x**2 + 102. Find f such that g(f) = 0.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**2))**(8\/5)\/(((c**(10\/3)\/c)\/c)\/c*c*c*c*c**(-4)*c) assuming c is positive.\nAnswer: c**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2817098 and 86600?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 435eaa (base 16) in base 9?\nAnswer: 8268387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/350 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, k: 3, f: 1, w: 6}. Give prob of sequence kkf.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10db2d (base 14) to base 7.\nAnswer: 4615256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**3 + 10*j**2 - 17*j - 6. Determine s(3).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -1\/60*a**5 + 9*a**2 + 0 + 0*a + 11\/24*a**4 + 8\/3*a**3. What is the units digit of k(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 1. Let m(q) = 9*q**2 + 15*q - 15. Let w(f) = -15*a(f) + m(f). Let r(n) = -9*n. Give r(w(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*p**3 - 194*p**2 + 2 - 117*p**2 - 23*p**3 to the form d*p**2 + g*p + r + s*p**3 and give d.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 615?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14\/o**(3\/2))\/((o*o*o\/o**(-10\/7))\/(o**10*o)) assuming o is positive.\nAnswer: o**(267\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12823048?\nAnswer: 2, 7, 228983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8 + 17\/(-4) + 0. Let s be (-3)\/(-12) - (-25)\/(-4). Let w(v) = 7*v**3 - 6. Let o(i) = -6*i**3 + 5. What is j*w(z) + s*o(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 29*z**2 + 150*z + 14. Determine b(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108815 = -27*n + 110452. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 22 = 5*r + 7*c, 4*r = -3*c - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/5))**(25\/6)\/((o*o**(-1\/8))\/o**0))**(-11\/2))**(-9\/5) assuming o is positive.\nAnswer: o**(627\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004532 to six decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -1454, -3106, -5396, -8336, -11938, -16214?\nAnswer: -21176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 52, 7 in increasing order.\nAnswer: 5, 7, 8, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136 + 136.00000127. What is j rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - h**2)*(h**2 + 3*h**2 - 5*h**2)*(-6 + 9 + 5).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(96\/(-80))*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-9))\/((-724)\/(-543))*3\/(189\/(-12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 4*z**2 - 7*z - 6*z**2 - 4. Suppose -2*i = -2*q - 18, q + 30 = -2*q + 4*i. Let g be n(q). Solve -3*p = -p + g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 85.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - -2) + 12)\/(-1). Let u = -444 + 462. Let l be 8\/k*(-3)\/u*-2. Which is the fourth biggest value? (a) -0.2 (b) -0.4 (c) l (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s*s**(5\/6)))))\/(s*(s**(8\/3)\/s*s*s)\/s*s*s))**(-1\/15) assuming s is positive.\nAnswer: s**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (-19 + 40)\/((-28)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 - 399 + 4*a - 392 - 392 + 1583.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340 + -265. What is the lowest common multiple of a and 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119363 or 118370?\nAnswer: 119363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 766*j**2 + 6*j - 5. Let f be b(1). Are 767 and f unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -2, -73 in decreasing order.\nAnswer: 5, -1, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*a - 10423 = 0, -10*a + 7*a + 41656 = 4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 7*c + d + 18, 0 = -5*c + 3*d + 24. Suppose 3*l + 2*l = -c*x - 30, -4*x + 2*l - 66 = 0. Let u = 14 + x. Let r(s) = -7*s - 1. What is r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ook?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*6\/9 + 0. Suppose 2*h = 5*x - 895, -w*x = 3*x - 3*h - 895. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, q: 3, m: 1, n: 1}. What is prob of sequence npo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15370 - -53833. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78436401 divided by 26145467?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*d + 140*d**3 + 43*d - d**2 + 47*d in the form u + m*d**3 + q*d**2 + b*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*f, -16*f + 13*f = 5*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:05 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -71a?\nAnswer: -721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-3)*30\/(-20). Solve 2*i = 2*d - h, 3*i - 5*d + 4*d = -10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*o - 4 = 0, 140*o = -2*k + 145*o - 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -5\/24*g**4 - 2*g**2 - 1\/60*g**5 + 0*g**3 + 0 + 0*g. Calculate m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(539) - ((1 + sqrt(539) - sqrt(539)) + -5).\nAnswer: 4 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -83909*v**3 + 5*v**2 + 6*v + 3. Let n be d(-1). Suppose n = y - 25089. Round y to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141785 or 2\/7?\nAnswer: -141785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27070, 0, 2 in decreasing order.\nAnswer: 27070, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/5, 0.05651, -18.45?\nAnswer: 0.05651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(63)*-1)\/(sqrt(108)\/(sqrt(48)\/sqrt(4))) + 1)**2 + -1)*-2.\nAnswer: -350 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 0 + 1 - b)*(-3*b + 3*b - b + (-1 - 1 + 1)*(-3*b + 3*b - 6*b) + 0*b + 0*b - b) in the form r + l*b + o*b**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 8:53 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + c + 20 = -12*v, 5*v - 5*c + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 + 177. Suppose r*h - 9 = 7. Solve -h = -l - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 601, 1542, 2829, 4468, 6465?\n\"Answer: y**3 + 167*y**2 + 433*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 0.07.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 40057.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - 38. Let d = p - -78. What is the derivative of 26 + d - 7 + 8*c**2 wrt c?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 bigger than 738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5 + 3 + -3 + (-3 + (sqrt(1331) - (sqrt(1331) + 1)))*4)*-3)**2.\nAnswer: -19845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217 - -491. Is 46 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 35 = 20*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 7*y - 1 + 5 - 6. What are the prime factors of l(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 20 = -5*r, -8*r + 20 = -13*r + 5*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14902020 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k - 1008 = 0. Suppose 3*a + k = 7*a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/795*1)\/(((-18)\/(-72))\/(15\/(-40)))?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*v - 3*y, 8*y = v + 11*y - 3. Let s = 9 + -6. Let t(k) = 4*k - s*k - 9 + 5*k - 3*k. What is t(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -2.7. Let y = k - -12.9. Let a = y + -13.0000184. What is a rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/1 - (-28 - 728). Which is smaller: q or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 375 + -374.33. Let v = 0.77 - z. Which is the closest to v? (a) 4 (b) 1\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105302 + -1213?\nAnswer: -110515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882034 divided by -6?\nAnswer: -480339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8154037578 to the power of 1\/2, to the nearest integer?\nAnswer: 90300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13549 or -13550?\nAnswer: -13549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 242\/360 + 246\/(-369). Let j(k) be the second derivative of q*k**6 + 0 + 0*k**2 - 20*k + 1\/24*k**4 + 0*k**3 + 1\/30*k**5. Factor j(g).\nAnswer: g**2*(g + 1)*(g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10550 (base 8) to base 6\nAnswer: -32344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 3*v - 8. Let y be j(-6). Suppose -9*z + y*z = -5. Let k be -2 + 3 + z - 2. Let x(f) = f**3 + 7*f**2 + 4*f - 6. What is x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l = 15. Let i(b) = -b**3 - 6*b**2 - 3*b + 3. Determine i(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((0 + sqrt(4608))*-1)**2*-2 + 0).\nAnswer: 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/250085 or -1?\nAnswer: -2\/250085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*-2 - sqrt(85) - 6*(sqrt(85) + (sqrt(85) - (1*sqrt(85) + sqrt(85)))))\/(-3*-2*sqrt(270)\/sqrt(6)).\nAnswer: 5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -681 - -686. Let l(x) = 339 + 332 - g*x - 14*x - 673. Give l(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 2*s**2 + 2*s. Let p = 15 + -31. Let v be 2\/(p\/6 + 2). What is l(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 9*j + 79)*(10 - 20 - j**2 - 2*j**2).\nAnswer: 27*j**3 + 90*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**2 + 3145. Let z(g) = -g. Calculate z(a(f)).\nAnswer: -7*f**2 - 3145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 16 = 2*j, 0 = 3*n + 4*j + j + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 699715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145.3 + -145. Let c be ((-2)\/(-6))\/(4\/(-3)). Sort q, -0.4, c in ascending order.\nAnswer: -0.4, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 73555 and 11?\nAnswer: 73544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -1.291 (c) -0.2 (d) 769 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -0.1 (b) -73 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crc when three letters picked without replacement from {c: 2, r: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 959224529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 6*a**2 - 2*a + 1. Let m(r) = -2*r**2 + 2. Let n be m(2). Is s(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) 0.1 (c) 3 (d) 1\/12 (e) -3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(-20*s + 1 + 6*s + 6*s)*(-376*s + 106*s - 374*s) as j*s + a + f*s**2 and give f.\nAnswer: -5152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2101510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-58)\/(-7) + 22\/(-77). Suppose h + 5*j + c - 22 = 0, -2*h = -2*j + 20. Let k be (-2)\/h + (-267001)\/3. What is k rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/6)\/4)\/((-27)\/(-162)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 22.58548ng?\nAnswer: 0.02258548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236128 is divided by 1416?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 16) + 14 + -2 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -69\/2. Let g(x) = 4*x + 15. Let n be g(-7). Let y = n - c. Which is smaller: 3\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggsgtttst. Give prob of picking 1 s, 1 t, and 1 g.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324 - 53. Suppose -5*c = 3*r - 287, 8*c - i = -3*r + 7*c. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(8)\/(sqrt(8)\/sqrt(2)) - sqrt(4)\/sqrt(2)*-2.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 19*c - 5*w - 21 = 0, w = c - 4. Let l = -0.3 - 0.2. What is the second biggest value in l, c, -4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 679166 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/60 + f**4\/24 + f**3\/6 - 11*f**2 + 2. Let y(u) = -5*u**2 + 6*u + 3. Calculate -6*c(b) + y(b).\nAnswer: b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9.5. Let r be (-2)\/(0 - -12 - -1). Put -4, r, i in descending order.\nAnswer: i, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 8*a**2 - 6*a - 6. Suppose 0*m - 2*m + 14 = 0. Give q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + ((sqrt(98) - 2*-1*sqrt(98)) + -2 + -1)*5*5)**2.\nAnswer: -80850*sqrt(2) + 557179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216 + 311. Let w = 75 - b. Let n be (6\/(-4)*2)\/(-1) - w. Calculate the highest common divisor of n and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - 21. Let x be y(4). Which is the nearest to x? (a) 3\/8 (b) -5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 - 5 = 0. Let k = u - 3. Suppose d + 4*d - 85 = k. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*d + 4*l, -5*d - 5*l + 6*l = -21. Suppose -3*r + 3*a + 738 = 0, 3*r - d*a + 1221 = 8*r. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 9*u + 16. Let z be r(-2). Let h be (-2 - (-15)\/z)*0. Solve h = 3*i - 2 - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32.625 and -11.7?\nAnswer: 20.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - b = 4, -40*m + 80 = 3*b + b. Put m, -3, 9, 45 in descending order.\nAnswer: 45, 9, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*z - 793*z + 270*z + 265*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2 - 4 + 11*h - 9*h + 5. Suppose 3*k + 2 + 1 = 0. What is v(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1343 - 1340. Let w be 5*((-8)\/(-5) - 2). Suppose 0 = -5*r - 4*j + 4 - 24, 2*r + 10 = -2*j. Sort m, w, r in increasing order.\nAnswer: w, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5407193 and 0.1?\nAnswer: -540719.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**3*v**2 + 17*p**3*v - 34*p**3 - 57*p**2*v + v**2 + 13*v wrt p.\nAnswer: -12*v**2 + 102*v - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14251*t - 97011*t - 80391*t + 5772*t.\nAnswer: -185881*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1700))*2)**2.\nAnswer: 160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teefqaatqtaqnfaaataa. What is prob of sequence aeae?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 9*c**4 - 21*c**3 - 88*c**2 + 48*c.\nAnswer: c*(c - 3)*(c + 4)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157292393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -173, -263, -353?\n\"Answer: -90*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1633167155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 27*c**4 + 3*c - 5*c + (1 - 2*c - 1)*(-3*c**3 + 7*c**2 - 7*c**2) to the form p*c**2 + r*c**4 + x*c**3 + z*c + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/((-45)\/(-12) + -3). Let v = o + 16. Calculate the highest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - b**2 - 17*b**3 - 4*b**3 + 1 + 20*b**3 + 0*b - 2*b. Let j(a) = -8*a**3 + 5*a**2 - 5*a - 5. What is -j(o) - 5*q(o)?\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -171942, -343882, -515822, -687762?\n\"Answer: -171940*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Suppose 78*b + 541 = 385. Let s(l) = -l + 10. What is b*q(z) + s(z)?\nAnswer: -z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w + 1. Give j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116506297?\nAnswer: 41, 59, 48163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/(-45) + 36\/270?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**3\/3 - z**2\/2 - 5*z + 4. Suppose -5*i = -i. Let a(b) = 2 + i - 3 + 0. Calculate -a(q) + n(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 8*j**2 + 6*j + 1. Suppose 5*y + 7 = 4*y. Let k be v(y). Let f = k + -3. Solve -f*i + g - 30 = 6*g, 3*g = -15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Let v be 1\/c + 36\/(-30). Let h be 3\/3*v*-1. Solve -11 = -2*f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/6*(-10)\/((-90)\/27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 + 1 = 0. Let p(h) = 3*h**2 + h - h. Let s(i) = -i**2. Give z*p(q) + 2*s(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:43 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d - 8. What is the remainder when p(-4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 + 25938588*y - 112135057905624.\nAnswer: -3*(y - 8646196)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5052 - -5067. Let i(p) = 2*p + 0*p - 27 + 0*p. Let h be i(s). Solve 4*b + 18 = -h*j, 3*b + 2 - 1 = 4*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 37*n + 21*n - 10*n**2 - 15*n**2 + 14*n + 29 to the form j*n + y + x*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*c + 9, -3*a = c - 4*c - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -619217\/5 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.212 - -0.148. Let t = -10.7 + h. Round t to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*2*sqrt(684))**2 - sqrt(684)) + (sqrt(684) + 0 + sqrt(684) + (sqrt(684) - (sqrt(684) + sqrt(684)*1)))**2 + -2 + -4.\nAnswer: -6*sqrt(19) + 11622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1607*v - 3*b = 1605*v - 18, 16*b - 64 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -168, -324, -478, -630, -780, -928?\n\"Answer: a**2 - 159*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23014 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**7\/210 + k**6\/30 + k**5\/10 + k**4\/6 + k**3\/2 + 3*k. Let s(f) be the second derivative of z(f). Factor s(g).\nAnswer: 4*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 982890 and 267330.\nAnswer: 130724370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -18 (b) -1\/4 (c) 5\/3 (d) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.21448.\nAnswer: -0.85792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35924374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x**3 + 9*x + 18. Let v(f) = 5*f**3 + 4*f + 9. Let h(z) = -4*n(z) + 9*v(z). Suppose -3*u - 4*u + 2*u = 4*u. Determine h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 21 = -3*x, x + 21 = -7*t + 3*t. Let k = t - -8. Let d be ((-3)\/2)\/((-3)\/20). Solve k*n - c - d = 0, -2*n - c = 3*c + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69090 and 595.\nAnswer: 1174530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 3*w**3 - 3*w**3)*(-1 + 4 - 2) - w**3 - 5 + 2 + 7.\nAnswer: -3*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 279, 243, 187, 111, 15, -101, -237?\n\"Answer: -10*f**2 - 6*f + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**15*f**(-2))\/(f**(2\/5)\/(f\/(f*f*f**(2\/37))*f*f*f)) assuming f is positive.\nAnswer: f**(2691\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160994157*f**2 + 83098989.\nAnswer: -321988314*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8062 is divided by 448?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 k when four letters picked without replacement from kllflfffkfffffflflf?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.017\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.001138 to 1 dp.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/5919 and -41\/31568?\nAnswer: 94704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*c**3 - 142*c**3 + 27*c**3 - 35*c**3 - 41*c**3 - 29*c**3 - 34*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.36931 rounded to 2 dps?\nAnswer: -16.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4753, -1, 0.1, 53, -5 in increasing order.\nAnswer: -4753, -5, -3, -1, 0.1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:19 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -2*x**2 + 0*x**3 + 0*x**4 + 0*x + 0 + 1\/60*x**5. Solve z(c) = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.8 - -74.8. What is the smallest value in l, -1.5, -0.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u + 4 - 130 + 11*u - 69 to y*u + r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -17. Do -1\/2 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 1420. Let o(r) = -16359*r**2 - 16359*r**2 + 32719*r**2. What is o(d(n))?\nAnswer: n**2 - 2840*n + 2016400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/6 and 398\/96 + 2\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 411183, 822362, 1233541, 1644720?\n\"Answer: 411179*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 1 (b) -3 (c) 2\/13 (d) 3\/2 (e) -260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 107*v - 1071. Calculate q(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1900\/(-19))\/20 - (-4512 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 13*t**2 - t + 17. Let q be j(13). Suppose -q = -5*c + 1. Which is greater: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l - 1. Let y be m(3). Let s(a) = a**3 + a**2 - 4*a + 3. What is the units digit of s(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v - 1. Let n be f(3). Suppose -n*b - 6 + 64 = 0. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1519\/45 - -161\/5. What is the nearest to 1\/3 in -2\/19, -5\/6, j?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxf when three letters picked without replacement from xrifrffrffxixfxfxxx?\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 281\/732 + (-3)\/4. Let q = -2\/61 - n. Which is greater: q or 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**3 - 6 - 4*l + 19\/2*l**2 - 7\/2*l**4 = 0.\nAnswer: -1, -6\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -1169. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 1 - 1)*(2*w**2 + 2*w - 2*w) - w**5 + 3*w**2 - 3*w**2 - 2*w**5 - 2*w**5 - 9*w**5.\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110768*r**3 - 18018*r**2?\nAnswer: -664608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 486819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s - 691. What is m(5)?\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4)\/(8\/128*24\/(-9)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-150)) + 0. Let m = -106 + b. Let f = m - -80. Calculate the greatest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h\/(h**(3\/11)*h))\/h*h))\/(h*h\/(h\/(h\/(h*h**(-3\/2))))))\/(h**(-3))**(-14) assuming h is positive.\nAnswer: h**(-929\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 327462 - -235.978?\nAnswer: 327697.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276\/11 - 1223\/22. Suppose 0 = -m + 8*m - 16744. Find the common denominator of 20\/(-14)*(m\/352 + -6) and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 634816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**4 - 1476*n**3 + 163725*n**2 + 855900*n = 0?\nAnswer: -5, 0, 180, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:55 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 - 28*p**2 - 41*p + 586. Give y(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*l - 53. Let w = 1513 - 1463. What is the greatest common factor of l and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2017 + -228?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -0*v - 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4057 divide 37886442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/30 - (6\/(-5) - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 226\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -380 + 815\/2. Find the common denominator of n and -21\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.436 times 179.5?\nAnswer: 78.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**2 - 10*b + 4. Let x(h) = -h**2 - h. Let d(c) = o(c) - 5*x(c). Let n = -87 - -90. Calculate d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*((sqrt(5) + sqrt(45))*-6 - -4*sqrt(5)*-1))**2.\nAnswer: 280*sqrt(5) + 3945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103920 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325*a**3*i**2 - a**3*i*z**2 + a*i*z**2 + 251604*a*i - 258*i**2*z**2 wrt i?\nAnswer: -650*a**3 - 516*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005818 rounded to four dps?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**3\/6 - 3*j**2\/2 + 3*j. Let d be r(3). Suppose d*g - 92 = -2*q + g, 0 = 5*g + 10. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176672.64 rounded to the nearest 100?\nAnswer: 176700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 1 + i + 2*i)*((1 - 2 + 2)*(-2 + 4 - 1) + 1 - 1 + 1 + 2 + 2 - 3)*(-35*i**2 - 98*i**2 + 16*i**2) in the form n*i + b*i**3 + s*i**2 + c and give s.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(25) + sqrt(1225) + sqrt(1225)*2 + sqrt(25)))\/sqrt(5))**2 + 3 + (sqrt(320) + 0)**2.\nAnswer: 2743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 87 - (36 + 50 + -74)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from jewwiidijjjwwwwww?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - p - 2 = 0, 16*u - 14*u + 4*p - 34 = 0. Solve 0 = n - u + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 17*r - 315 = 0. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (-210 + 201 - (1 - 3 - -2))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -3*h - 0*h - n, -h - 5*n = -110. What is the greatest common factor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11706.\nAnswer: 2, 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 + -462. Calculate the remainder when 1615\/6 - (-54)\/c is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 30, 2, -5, 1 in increasing order.\nAnswer: -9, -5, 1, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -9*u - 54. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 96 = -4*q, 10608 = 2*q + 3*x + 10656 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - d)*(3 - 2 + 1) + (-1 - 2 + 0)*(-d - 3*d + 3*d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 48. What is the smallest common multiple of i and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.11686 - -0.4?\nAnswer: 206.51686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 38. Determine k(15).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -853.4438\nAnswer: 426.7219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 944691*g**3 + 1399694*g**2 wrt g?\nAnswer: 5668146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -0.1024412943.\nAnswer: 30.8975587057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/9201100 and 49\/7676?\nAnswer: 174820900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -36. Let c(l) = -l**2 - 2*l + 4. Let v be c(-4). Put v, 5, r in decreasing order.\nAnswer: 5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 2891. What is the common denominator of h\/(-210) - (-4)\/(-10) and 9\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -33. Solve 0*q + 15 = -h*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = -0. Suppose 2*f = 4, -b*d + 3*f - 4 = 12. Let v(a) = -a + 1. Calculate v(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from ddkddddiddiddiddd?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let h be ((-3)\/(-2))\/(3\/2). Let l = -3 + h. Sort l, -4, q in increasing order.\nAnswer: -4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146523\/7 + -20930. Find the common denominator of c and (-55)\/(-3) - (3 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:37 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 370333091 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5092*k**3 + 5093*k**3 - 10166*k**3.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -129030 divided by -374\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33282427 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9776*q + 293205. What is r(-30)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511 (base 12) in base 11?\nAnswer: -1938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10181?\nAnswer: 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 122.757 times -1.3\nAnswer: -159.5841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0*x**3 + 0*x**5 + 0*x + 5\/2*x**2 - 8 + 0*x**4 + 1\/6*x**6. Find the second derivative of i(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from apssraasssaapaaaasp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w**4 - 1\/120*w**6 + 0 + 1\/60*w**5 + 3\/2*w**3 - 4*w**2 + 0*w. Calculate p(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 21485*x - 12 = 21492*x, -x - 6 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f + 14. Let v(x) = 5*x - 5. Let g(u) = -3*t(u) - 10*v(u). Let l be g(4). Suppose -168000 = -l*m - 3*m. Round m to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**5\/20 + h**4\/3 - h**3\/2 - h**2\/2 - 70*h. Give z(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 943404163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78314396 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - 9*z - 13. Let k = 98 + -102. Let p be n(k). Let r be 75\/6*2*-1. Is p > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**16\/t)\/t**8*t*t**8*t*t*(t\/((((t*t**8)\/t)\/t)\/t))\/t*t*t)**(-35) assuming t is positive.\nAnswer: t**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 13873 = -4253. What is d rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**5 - 3*q**2 + 14*q**2 - 6*q**2)*(-102 + 103 - 221).\nAnswer: 880*q**5 - 1100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 - -0.03?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozzzzzzozo. What is prob of sequence zz?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {m: 2, w: 1, r: 3, v: 5, b: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011001 - 120?\nAnswer: 3010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*y + 2*y. Calculate the smallest common multiple of (-1 + 4)*22\/y and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 1. Determine k(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**2 - r - 1. What are the prime factors of s(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 112\/140 + 1 + (-11)\/(-5). Calculate the lowest common multiple of 4 and 0 - (-58)\/18 - q\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*k = 47*k + 54*k + 247052. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 92 and -0.4.\nAnswer: 91.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cbad8 (base 14) to base 16.\nAnswer: -7870e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*x**4 + 3*x**4 - 2*x**4 + (-6*x**2 + 2*x**2 + 3*x**2)*(3*x - x**2 - 3*x) + (4*x**3 - 3*x**4 - 4*x**3)*(3 + 12 - 1).\nAnswer: -55*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**3 + 135*v**2 + 426*v - 113. Calculate c(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 126 = 3*q - 3*u, q - 2*u = 62. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 l when three letters picked without replacement from {j: 2, t: 1, k: 2, l: 4, f: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 11. Let s = j + 41. Let z = s - 16. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {d: 9, n: 8, q: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 33697121.91 to the nearest one thousand.\nAnswer: 33697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - i - 44 = -8, 2*k + i = -i - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 6:42 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(42)\/(-1*sqrt(6)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-four fifths of a day?\nAnswer: 21312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 6*z = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.123434893 + -9.\nAnswer: -11.123434893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 610 + -608. What is the second smallest value in -1\/5, 4, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -175*h**2 + 275*h + 1069. What is z(-4)?\nAnswer: -2831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1399516, -5598125, -12595814, -22392589, -34988456?\n\"Answer: -t**3 - 1399534*t**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3684472 and 123640?\nAnswer: 18422360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5 = -4*d, -4*b - 4*d = -0*b - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z - u, -27 = 3*z - 8*z - 2*u. Sort -2, z, -12 in increasing order.\nAnswer: -12, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 2 + -2 + -1. Is -7 + 206 + 4*w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -93 + 1434 + -1370\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u. Suppose -2*l - 6 = -0*l. Give v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(5) - sqrt(5))**2*6.\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 801.\nAnswer: -1\/801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47275102 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: Solve 1944*h = 1948*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Let j be (-91)\/(-104) + (-1)\/2. What is the smallest value in z, j, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1452\/48 + (-3)\/12. Let w be 174\/u + -7 + (-1)\/(-5). Which is bigger: w or 1\/269?\nAnswer: 1\/269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 14926.55nm?\nAnswer: 14.92655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.088 and -0.016536.\nAnswer: -0.067599168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 155*j**3 - 45*j - 45. Let z = -82 + 81. Let f be 10\/(-4) - z*(-1)\/(-2). Let g(o) = -7*o**3 + 2*o + 2. Give f*k(c) - 45*g(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f + 4*f - 4*f + 0*f + 5*f + (1 - 1 + 2)*(-f - 2*f + 2*f))*(-5*f - 25*f**2 - 13*f**2 + 34*f**2).\nAnswer: -4*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4)*24\/42. Let s be (-5)\/(-3)*(-12)\/(-4). Solve l*j - 5 = 5*i, -s*i + 1 = j - 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 8 + -2 + 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7175 - 5557 - i - 1618.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3\/2, 0.3, -3\/2, -529\/10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -375, -540, -675, -768, -807, -780, -675?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/9 + (1628\/(-36) - 8280\/(-184))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-14) - (-43)\/2. Let s be 2\/(-20) - (-202)\/f. Solve 2*v + 2*v = -y - s, 8 = -4*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(80) + -1 + 4 + sqrt(80)*-1 + 3))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 60 and 2180612579804.\nAnswer: 2180612579864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/6 + 20\/2*2\/(-5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, -107, 4, 51 in increasing order.\nAnswer: -107, -5, -4, 2, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2919912 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000455265627 to 7 decimal places.\nAnswer: -0.0004553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:44 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -114284*f + 1. Let z(w) = 27*w. Calculate l(z(p)).\nAnswer: -3085668*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, -3, -33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*t**2 + 180*t**2 - 90*t**2 - 170*t)*(3*t**2 - 3*t**2 - 4*t**2).\nAnswer: 4*t**4 + 680*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*x - 124, -f + 0*f + 4*x + 20 = 0. Suppose f = -r + 116. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3487\/77 - (5 - ((-33)\/(-7))\/1). Solve -50*g = -b*g + 35 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-18)\/(-84)*(-168)\/108?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, g: 2, x: 7, v: 1, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100, 671, 2224, 5251, 10244?\n\"Answer: 82*r**3 - r**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.94, 3014, -3, -0.1?\nAnswer: 3014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -375.45 and -0.09.\nAnswer: 33.7905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzm when three letters picked without replacement from mmxwpgz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -200001011?\nAnswer: -200001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*y - 64*y + 13760 + 393.\nAnswer: 5*y + 14153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 4*m - 10. Let d(b) = -b**2 - 2*b + 5. Let h(y) = 4*c(y) + 7*d(y). What is the units digit of h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1811 is divided by 447.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-472)\/(-24) - (-1)\/3. Suppose -w = -4*b + 320. Let u = b - -83. What is the highest common factor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121122100200 - 21?\nAnswer: 121122100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1254\/88*(-2 - -4)*6\/9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000179662607 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14260923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 9*a + 15*a - 21*a + 6*a + 14*a.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 10*t**2 + 3*t - 2. Suppose 5*z - 14 = -k - 4, -k = -3*z - 10. Let i = -3 - -8. Calculate the remainder when f(k) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 12328*q - 132982136.\nAnswer: -2*(q + 21574)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g\/g**(2\/9))\/g*g))**8)**(28\/9) assuming g is positive.\nAnswer: g**(-1568\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 67 = 95*y, -81*h + 82*h + 6 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/6 - 5\/6. Which is the third biggest value? (a) l (b) -2\/17 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48914.\nAnswer: 2, 37, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -0.6. What is the second smallest value in -4, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 22*q + 10*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 111298018.3555?\nAnswer: -111298018.4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - 51\/(-12). Let n be (6 - 0) + (-2 - -1). Suppose n = -m - c*m. Are -1\/3 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - l + 15 = 56, -4*x = 5*l - 75. Let y(o) = o**3 + 8*o**2 + o + 8. Let g be y(-8). Suppose 2*h - x - 28 = g. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.1. Let m be (-5)\/10 + 5\/2. Suppose -6*u = -m*u. Which is the nearest to u? (a) -0.5 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1646)\/(-63371)*21\/(-2)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 656992*o. Let d(s) = -2*s**2. Give d(f(n)).\nAnswer: -863276976128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.8 to 0 decimal places.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + -11010?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2407 and 29.\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*g**5 + 63230*g**2 - 63230*g**2)*(1 + 1 + 0)*(3 - 2 - 3).\nAnswer: 584*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 15)\/(-2 - -5) - 49601\/10036?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226.1 - -230.1. Suppose 3*h - 10 = 4*x, -3*h + 0 + 2 = 4*x. Let f = 2.3 + -0.3. Which is the closest to x? (a) f (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x - 129. Let i be v(7). Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40397657*c**3 - 330018926*c**2 wrt c?\nAnswer: -242385942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -393\/7 - -56. Let z = 1.96 - 1.86. Which is the closest to z? (a) -4 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 2*z)*(z**2 + 3*z - 3*z) - 1610*z + z**2 + 17 - 3*z**3 + 1609*z + 0*z**2.\nAnswer: -4*z**3 + z**2 - z + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11605355*u**4 + 54*u**2 + 29*u - 431 wrt u?\nAnswer: -278528520*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*k + 154, -6*k + 3*t = -k - 404. Let x = k + -37. Let v = -5 - x. Round v to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -6\/5, 0.4 in increasing order.\nAnswer: -85, -6\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 + 10*a - 4. Let g(f) be the second derivative of -f**4\/12 + f**3\/2 - f**2\/2 - 942*f + 2. What is 7*g(t) - 2*k(t)?\nAnswer: t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.9 - -40. Suppose 2*w = -2 - 2. Which is the closest to -2\/9? (a) w (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 4*p - 10*p)*(4 + p**2 - 4).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(4\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 7*q + 19 + (-2*q + 5*q - q)*(1 - 6 + 4) - 2*q + 3 - 3 + 2*q - q + 2*q)*(2*q + 0*q - q) to the form p + v*q + t*q**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*(-183)\/244?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/4 - q\/4 + 5 = 0. What is q?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11*v - 4. Let f(b) be the third derivative of 11*b**4\/12 - 7*b**3\/6 + 184*b**2. Determine 4*f(w) - 7*z(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 61408 = 28556. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 1170 - 138. Let x = -737 - k. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*b - 10*b = 2*b - 4*b - 46, -7*b = 4*w - 119 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 8:58 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 22*k**3 - 7*k**2 + 42*k + 171. Calculate w(-3).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6993 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*c*x**2 + 2011491*b**3*x**2 + 3*b**2*c*x**2 + 14*b**2*c + 18725*b**2*x - 3*x**2 wrt b.\nAnswer: 30*c*x**2 + 12068946*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - g - 2*g + g**4 + 2*g - 2*g**3 as p*g**2 + u*g**4 + i*g**3 + b*g + m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + (-97392)\/12)*(0 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -20, -2, -5, 5, -16754 in increasing order.\nAnswer: -16754, -20, -11, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6885 - 6884. Which is the nearest to l? (a) 5 (b) 0.4 (c) 1\/160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-3)\/(-10)*(-8)\/12?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 365 = 8*x - 3*x, 2*x + 4*n = 162. What is the remainder when x is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181, 244, 229, 142, -11, -224, -491, -806?\n\"Answer: q**3 - 45*q**2 + 191*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-1.4.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322835129 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyfef. Give prob of picking 2 f and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 - (6 + -3) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 10*c + 2*n + 29, -c = -3*n - 1. Let s = -479 + 609. Put -0.2, c, s in decreasing order.\nAnswer: s, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*l - 11336 + 8818 = 24887 for l.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 606*h. Let f(c) be the third derivative of c**4\/12 - 25*c**2 + 10. Give f(m(x)).\nAnswer: 1212*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003*z - 1 = 1004*z - 5. Sort 0.4, -7, -116, z.\nAnswer: -116, -7, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - 9*x**2\/2 - 5*x - 1. Let p be j(-7). Let l(c) = -112*c + 3819. Let q be l(34). Solve p = -5*r - q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8526 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 + -55. Suppose -6*s + 108 = -q. Suppose 48*r - s*r = 0. Solve r = 3*h - 12, 5*j + 3*h - 1 = 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 17*g - 7. Let c be o(6). Let k = 46 - c. Solve -8*d = k - 35 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 0.2 (c) -3319 (d) 4.61 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 2*v**3 + 0 + 10*v**2 + 0*v - 1\/60*v**5 - 13\/24*v**4. Is 36 a factor of n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 0*n**2 + 6*n**2 + (0*n + n + 2*n)*(0*n + 5*n - 3*n))*(13*n - 27 + 27)*(-2*n + 3*n - 3*n + 0*n + 0*n + n + (-2*n + 0*n + n)*(4 - 4 - 2)).\nAnswer: 117*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -168197 (base 12) in base 16?\nAnswer: -5e903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/5 (b) 38 (c) 0.5 (d) -2\/309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + o + 1, 4*g + 19 = 3*o - 8. Calculate the common denominator of g + 298*2\/24 and ((-71)\/3)\/(12\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 17 - 5, -5*v + 5*l = -60 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 150 (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 1 - ((-21)\/(-7) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 69*k - 69*k.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484425*c**2 + 1453292*c**2 - 484438*c**2 - 484426*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18912 divided by -32\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.541 + -42.541. What is the second smallest value in 0.2, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.1 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Let m(r) = 4*r - 1. Let t be m(k). Factor -4*n**t + 6*n**3 + 0*n**3 - 2*n.\nAnswer: 2*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**3\/6 + 5*g**2\/2 - 103*g. Let w(x) = -x**3 + 3*x**2 - 2*x + 2. Let v be w(3). Determine z(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 58*t + 6. Calculate the remainder when p(-30) is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5170561 - -5171944.4045. Let y = f - 1383. What is y rounded to two decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 14*b + 14. Let p be i(-15). Let v(l) = -7*l. Let r(f) = f. Let k(m) = p*v(m) - 4*r(m). Let w(q) = -3*q**2. Give w(k(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1 (c) -0.3 (d) 0.3 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 7*c = 11*c - 12, 0 = -5*j + 3*c + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a - a + 10224. Let b = 932 - a. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 2*r - 1. Let i be g(-5). What is the lowest common multiple of 5 and 2*4\/(i\/(-22))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n. Let u(v) = 2*v. Let q(i) = 4*u(i) + z(i). Let m(k) = 2*k**2 - 80*k + 648. Let t(s) = -m(s) - 8*q(s). Factor t(h).\nAnswer: -2*(h - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 490*s**2 - 1130905*s - 34620 = 0?\nAnswer: -3\/98, 2308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 79?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1595*j + 855*j - 5150*j in the form h*j + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j + 19. What is y(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -13, 5, -1921, 6, 2\/5, 2 in decreasing order.\nAnswer: 6, 5, 2, 2\/5, 0.1, -13, -1921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from aatttttattaaamtaa.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.114, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 15, 0*z + 3 = 3*k + 3*z. Let u be (-4)\/(k - -4) + 6600002. Suppose -4*g + u = -g. Round g to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187\/2 + (-10 + 312\/16)*183\/1159.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - 47.325?\nAnswer: -48.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1885044*g**3 + 941434*g**3 + 940868*g**3.\nAnswer: -2742*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2401, -4828, -7255?\n\"Answer: -2427*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 50*s**4 + 11*s**3 - 66*s + 11. Let j(x) = 10*x**4 + 2*x**3 - 13*x + 2. Let k(h) = -11*j(h) + 2*v(h). Find the second derivative of k(f) wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*2)\/sqrt(12) + (2 + sqrt(117))**2.\nAnswer: 15*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 + -11 + 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17110 and -8265012?\nAnswer: 8247902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -14 (b) -2\/3 (c) -319 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1024, -1001, -978, -955?\n\"Answer: 23*v - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439782.5 - -40575?\nAnswer: 4480357.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18886 and 157584?\nAnswer: 176470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/(-20) + -264 + 254 and 10\/389.\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2 + 5*u. Calculate the remainder when w(4) is divided by 80\/24*156\/65.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 40. Let p = 151\/28 - 36\/7. Which is the closest to p? (a) j (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 26*b - 11. Let r be (8 + 0 + -2 + 1)\/1. Let m be i(r). Let n = -87 + m. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -74\/77, -1225, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-80) - (1 - 148\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 7, r: 6, w: 4}. Give prob of picking 1 r and 1 w.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-19 - (6 - 3)) - -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189, 239, 463, 855, 1409, 2119, 2979, 3983?\nAnswer: 5125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixizkzzkkk. Give prob of sequence ixiz.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314401 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/214000 and 71\/30.\nAnswer: 642000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*f**5 - 2*f**3 + 99145*f**2 + 611783*f + 28?\nAnswer: 200*f**3 - 12*f + 198290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5596 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8297*t + 6181274. Give c(745).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1566 = -5*i, -2*j - 2 + 0 = 0. Let s = i + -129. What is the greatest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/11 - 1504*c + 33096\/11 = 0. Calculate c.\nAnswer: -8274, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-50)\/(z\/z**(1\/3))**(-40) assuming z is positive.\nAnswer: z**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 29293932*n**2 - 410114460*n - 1435399924.\nAnswer: -4*(n + 7)**2*(n + 7323469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*o**2 + 257*o**2 - 379*o**2.\nAnswer: -610*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1944 and 648?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69644449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 17 + 17 + 2*v. Suppose 2*g - 12 = -2*g. Let a(y) = g*y - 7*y + 0*y. Determine o(a(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/3))**(-4)*(p\/(p*p**(-2)*p))\/p**(1\/13) assuming p is positive.\nAnswer: p**(-172\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide -134 + 128 + (1*16266)\/3 - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 0 + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 16596 and 15530 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2664192, 2664184, 2664172, 2664156, 2664136, 2664112?\nAnswer: 2664084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189211053 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53779 divided by -7974?\nAnswer: -53779\/7974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.2 + -29.3879. Let i = w + 1.7059. What is i rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 8. Let v(r) = -r**2 - 5*r + 6. Let j be v(-6). Let m = 2 + -1. Solve j = i*a - m + 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00072723 to five dps.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lql when three letters picked without replacement from mlqbmtlmql.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37c4 - 437e?\nAnswer: -aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 143*g - 441. What is c(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 504.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146456647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 16\/3, -6\/41, 1?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3*g - 8)*(-g + 11*g + 0*g)*(9*g - 712 + 709 + 39*g).\nAnswer: 1440*g**3 - 90*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -15, -57, -125, -225, -363, -545, -777?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137264234 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3808 divided by -5.\nAnswer: -3808\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 100293 + 4*g + 45396*g**2 - 100293)*(4 - 4 - 2).\nAnswer: -90792*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/7 - 472299*z**2\/7 - 18588153648*z\/7 + 55768711716\/7 = 0. Calculate z.\nAnswer: -78718, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/13, -0.5, 0.3, 0.01, -433?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) -0.4 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 7. Let r be n(-2). Let m(q) = 47*q - 5. Let f be m(r). Let a = 434 - f. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*m - 2*u, -4*m - 2*u = -6*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 2*w - 4*w - 3*w.\nAnswer: 4*w**3 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161 + 163. Suppose -8*k + 4*k + 1610 = u*t, 0 = -4*t + 4*k + 3172. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - 29 - 58) + (12 - 1) + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 32 = 4*k, r = 3*k + 2*r + 46 - 15 - 7 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7101, 7435, 7769, 8103?\n\"Answer: 334*c + 6767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 33\/7, 428, -4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6 - 0. Suppose 3*f + 2*g - 4 = 0, -f = -b*g - 3 - 13. Solve c - f*c - 13 = 2*t, 5*t + 5*c = -20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1194739*d - 4778914. Calculate z(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4229*w**2 + 55*w - 60. Is 47 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, 2, -9 in descending order.\nAnswer: 3, 2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b**2 - 31867*b - 63736. Determine m(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2258 + -7.7742. Which is the closest to 1\/2? (a) w (b) 0 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 21\nAnswer: -11\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, -19, 3, 18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.64656 - -196.353301. Let x = 909 - 1125. Let b = x + i. Round b to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:00 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/566804 and -19\/80972.\nAnswer: 566804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*y + 2512 - 178, 1749 = 3*w + 3*y. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2872*v - 8638. Calculate x(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16767151 to the nearest integer?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -5*t - 128 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/4 - 34691*g**2 - 1604666895*g\/4 - 534858129\/2 = 0. What is g?\nAnswer: -23127, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37518 = 203*g + 23308 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.85 - 31.4. Let k = z + 1.55. Let o = 741\/7 - 106. What is the fourth smallest value in -4\/9, k, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 28\/1447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1923 divide 60854253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 3308.\nAnswer: 9924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -206. Let u = y - -55. Solve 3 + 5 = u*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17429728 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96441)\/(-898225) - (-2)\/38?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*y - 0*y - 11, 2*y - 13 = -5*z. Suppose -20 = 5*r, 2*p = 5*p - y*r - 1000. Suppose u - p = -4*t, 0 = 5*t + u - 230 - 179. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s + 5. Let f be v(7). Let z = 36 + f. Let k be (2\/2)\/(z\/(-5)). Calculate the highest common factor of 50 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3 - 171*m**2\/2 + 168*m + 613. Factor j(d).\nAnswer: 3*(d - 56)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) + sqrt(4) + sqrt(8)\/sqrt(2)))**2 + (1 + sqrt(80) - sqrt(5)).\nAnswer: 14\/9 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 419 + -225. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8780, 35830, 80910, 144020, 225160, 324330?\n\"Answer: 9015*r**2 + 5*r - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 - 27*w + 22. Let j be y(-6). Solve 0 = -2*u - 5*a + 23, -5*a + j + 23 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931833 is divided by 52.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -0.4, 0.18, 0.5, -0.3, 42 in ascending order.\nAnswer: -0.4, -0.3, 0.18, 0.5, 42, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306090 and 4218.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-one halves of a second?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -84, -159, -262, -393, -552, -739?\n\"Answer: -14*k**2 - 5*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 37. Let g be l(-12). Suppose -g = -3*r - 22. Calculate the remainder when 44 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 8. Suppose -7*v = -p*v - 6. What is the biggest value in v, 3\/8, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s**3 - 254*s**2 + 404*s - 8902. Determine t(23).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2286 (base 11) to base 14.\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + 48127\/12. Let u = w + -4002. Find the common denominator of u and 41\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 71\/((-1 - 1)\/4). Let f = 442 - 441. What is the common denominator of -127\/18 and 2 + 1\/f - m\/(-30)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1 - 8\/(-12)). Let a = -6 - c. Suppose -a*j - 4*s = -23, 5*j - 2*s + 0*s - 21 = 0. Solve j*q + f = 5*f - 33, -2*f = 5*q + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k. Let r(n) be the first derivative of -n**2\/2 + 14*n + 62. What is r(j(l))?\nAnswer: -2*l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1631086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3792\/1343)\/(-24)*(-3)\/(-12)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36296732.3261 + 36294842. Let j = -1890 - v. Let i = 0.32 - j. Round i to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 950*r**2 - 8567*r + 156. Calculate l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 4*d**3\/3 + 4*d**2 - 12*d - 9. Determine t so that q(t) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(25) + sqrt(200)\/sqrt(8))*5)\/sqrt(5) + sqrt(720) + -4 + -5 + sqrt(720))**2.\nAnswer: -612*sqrt(5) + 5861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0 + 5*q - 7\/2*q**2 + 4\/3*q**3 - 1\/12*q**4. Let m = -6 + 12. Give n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 m when three letters picked without replacement from {k: 1, z: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1.9. Let d = l + -0.5. Let m = -30 + 33. Which is the biggest value? (a) m (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - -56 - (-4 - 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -506 - -508. Sort 7, -14, d.\nAnswer: -14, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10377*s + 10354*s + 10398*s - 30802*s.\nAnswer: 327*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 y when four letters picked without replacement from {n: 7, q: 5, g: 3, y: 4}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1414)\/(-3232))\/((-77)\/44).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -550*t**2 + 35*t**3 - 2*t - 97*t**3 + 33*t**3 + 218 + 24*t**3 wrt t?\nAnswer: -30*t - 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-42)*(-14399)\/(-6171)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*m*r + 2*f**4*r - 308*f**3*m*r + f**2*m*r - 2*f**2*m - 15*f*m*r + 2 wrt f.\nAnswer: 24*f*m*r + 48*f*r - 1848*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**2 + h + 13. Suppose 4*p - 8 = -3*t + 11, -3*p - 17 = -4*t. Suppose 4*s + t*l = 6, 0*l + 20 = 4*s - 2*l. List the prime factors of u(s).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {m: 9, p: 6, e: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323382 + 182382. Round n to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1292 + 4?\nAnswer: 4.1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 1. Let l be z(1). What is the first derivative of -l - 3 - 4*i**3 + 1 + 8*i**3 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 0*f + 0*f + (1 + 0 + 1)*(0*f + 2*f + 0*f) + (-1 - 1 + 3)*(4 - 4 - f) + 0 + 0 - 4*f + (0 + 3 - 6)*(4 - 4 - f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 4*y + 3*j + 2*j, y = -2*j + 40. Let u(a) = a**3 + 8*a**2 + 2*a + 10. Let f be u(-8). What is the units digit of 326*(f\/51 + y\/68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t*t**(5\/4)\/t*t)**(-12))**(-1\/30) assuming t is positive.\nAnswer: t**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -260.3 (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0103 - -0.2231. What is b rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3937220 rounded to the nearest ten thousand?\nAnswer: -3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5 - 2*u + 2 + 0 - 6. Let d be r(-6). Suppose -l = -g + 7, -19 = -g + 2*l + d*l. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.31 rounded to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3. Let y(a) = -a**2 + 7. Suppose -3*h + c + 30 = 0, -5*h + 3*c - 4*c + 42 = 0. Give h*f(n) - 4*y(n).\nAnswer: 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 252, 4, 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -17.38.\nAnswer: -12.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106257, 212517, 318777, 425037, 531297, 637557?\nAnswer: 743817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*c = 542, 2*i - 2*c - 212 = 344. Let v = -275 + i. Suppose -3*n + 0*n = -2*m, 0 = -4*m - 5*n. Solve -t - v - 4 = m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69090 and 323106?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*w + 1863, -4*w + 3*t - 1661 = -166. Let i = -725\/2 - w. What is the common denominator of 67\/8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79391 = -4*q - 5*s, -3*q + 8567 = 3*s - 50980. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1 + 0)*-1. Sort 1, n, 2.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (sqrt(275)\/sqrt(180))\/(-3*sqrt(275) - sqrt(275)).\nAnswer: -6 - sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1240241300 (base 5) to base 4\nAnswer: 23222003101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -35, 25.\nAnswer: -35, 15, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m*x**3 - 1964*m*x + 13722*m wrt x?\nAnswer: 3*m*x**2 - 1964*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 1554 = -597 - 737 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -179, -353, -527, -701, -875, -1049?\n\"Answer: -174*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.002 - 121.002. Let y = 3338.5 + -3459.785. Let r = x - y. What is r rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 48*b**5 - 1820*b**4 + 16984*b**3 - 57324*b**2 + 62496*b + 5616 = 0.\nAnswer: -1\/12, 3, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-9 - (-1 - (-14 - -24))) - -14?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126598 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 f when four letters picked without replacement from {y: 1, f: 2, d: 1, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37381*m**2 - 18688*m**2 - 18694*m**2 - 647 to z + u*m + y*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/14 + 4\/14. Suppose 2*s = 3*k - l, 0*s + 3 = -3*k - 3*s. Let g(o) = o + 8. Let b be g(-6). Solve -3*f + k*q - 8 = -q, -q = -b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/9 - 2132*z\/3 - 6398\/9 = 0. What is z?\nAnswer: -1, 3199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15803 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10223 - 11003112?\nAnswer: -11020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15*c - 171. Determine r(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 611773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + 230*r**2 + 121*r + 232. Give v(-57).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/((-99)\/(-132))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(112) + -2 - (-5 + sqrt(7)*-1)).\nAnswer: 15 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) -0.74 (c) -16 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - 2) + 2 + (-19 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 26. Suppose 4*q + 5*b - 25 = 0, t*q - 53 = -2*q + b. Solve 5*u + q = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33821 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 15. Let y be n(-15). Suppose -4*l + 8*l + 3*q - 81 = y, -3*q = -5*l + 81. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 326104, 329631, 333158, 336685, 340212?\n\"Answer: 3527*b + 322577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*m + 36*m + 120*m + 113*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10*a + 25. Suppose -5*d + 20 = 4*g - 2, g + 7 = a*d. Suppose 174 = 5*i - g*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/12 - 1381*z**2. Let q(t) = -73*t**2. Calculate q(p(u)).\nAnswer: -1825*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -16 - (-415 - -415)) + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 98 (b) -2\/15 (c) 3 (d) -0.3 (e) -0.08 (f) 1.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -18.68 = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625296 by -56.\nAnswer: -11166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57676963.\nAnswer: 523, 110281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -989, -1004, -1019?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15697?\nAnswer: 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/9 and -62\/147.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 18?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45502 (base 12) in base 14?\nAnswer: 258d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12138*c*o**2 - c*o + 659*c - 6*o**2 - o + 88 wrt o.\nAnswer: 24276*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 17 - 15 - 31*w in the form y*w + s and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 7*n + 8. Let h be x(-6). Let c(y) = 2*y + 7*y**2 + 8*y**2 - h*y**2. Is 2 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 3. Let c be a(-2). Let o = -283 - -555. Let v = o + -277. Put v, 5, c, 4 in descending order.\nAnswer: 5, 4, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let y(q) = 2*q + 2 + 2*q - 5. Suppose -2*h = 3*h + 5. Let b(z) = h*y(z) + 2*n(z). Differentiate b(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(45)*5 + sqrt(45) - sqrt(5)) + 5 + sqrt(80) + -3 + 3 + 0)*-1.\nAnswer: -24*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 528 = 661 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3319*-0.3\nAnswer: -995.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 219.83, -8, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/7)\/(v*v**(-1\/3)) assuming v is positive.\nAnswer: v**(-26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, -1\/4, -69, -1365\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(1 - (3 + -4)))\/(-1). Suppose l = -4*m + 142 + 30. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/5859 and -41\/189.\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 8\/13 (c) 0.1 (d) 476 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -84. Let l be (p\/(-6) - -2)*(-38)\/(-1). Let a(q) = 11*q + 5 + 10*q - l*q. Determine a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*b**3 + 56628*b**2 + 56619*b\/2 + 7077\/2 = 0. Calculate b.\nAnswer: -2359, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/3 + 86*m**3\/3 + 1189*m**2\/3 - 1274*m\/3 = 0?\nAnswer: -13, 0, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*v - 2*f, 6 - 40 = -5*v + 4*f. Suppose -z - 110 = -v*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82493191 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1100111001110011110010 (base 2) to base 11\nAnswer: 1a00373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2494 divided by -30379\nAnswer: -2494\/30379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -141. Let o = -92 - l. Let f(y) = 3*y + 50. Let w be f(o). Solve 3*k = -12, -w*b + 5*k + 22 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*f - 2\/5 + 1\/5*f**2 = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 250 - 34 - 244 - 92)*(-3 - 5*g - 9*g + 1) in the form s*g + b and give b.\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 1 = 0. Suppose 2 = -3*d - y. Let q(a) = 50*a**2 + 1. Is q(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**3 - i**2 - i. Let k be a(-1). Suppose -10*q = -q - 18. Suppose -12*r - k*r**q + r**3 - 6*r**3 - 7*r**2 - 4 + r**3 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c6 - 5?\nAnswer: -3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -72. Let m = -17 + v. Let r = m + -14. What is the third biggest value in r, 2\/17, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.727155 from -95.\nAnswer: -95.727155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1484 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2238053*3.\nAnswer: 6714159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + 0.05. Let i = 0 + -0.02. Is s at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5 and -21\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 7) in base 11?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27261174 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqoqoqqqqqooq. Give prob of picking 2 o.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - n = -6, -3*z + 5*n + 2 = -0. Suppose 5*o - 4*f - 83 = -0*f, 0 = -z*o + 3*f + 66. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1190.099 litres?\nAnswer: 1190099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(156) - sqrt(156)*-2) + sqrt(156)))\/sqrt(12)*-6.\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018172 to five decimal places.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 6 = 55. Suppose -141 = -14*y - 1. Let r = y + c. Solve -m = -g + r*m + 15, 4*g + 5*m + 45 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h - 6. Let c(n) = 7*n + 3. Suppose y - 22 = -y. Let i(s) = y*c(s) + 6*g(s). Differentiate i(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.251427 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514401059.\nAnswer: 3, 504800353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730413 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 f(c) = c**3 - c**2 + c + 1. Let s(b) = -3*b**3 - 4*b - 9. Let v(n) = 4*f(n) + s(n). Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w\/(w\/(w*w**0)*w*w))\/(w*w*w**(-2\/7)*w**(2\/9)\/w)*(w**(2\/15)*(w\/(w**(3\/7)\/w*w*w))\/w)\/(w**1\/(w*w\/((w*w**(-1\/3))\/w))) assuming w is positive.\nAnswer: w**(662\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047453 to 4 decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2\/(-13) + 228536\/364. Let s = -413 + w. What are the prime factors of s?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 + -0.2. Let t = 1.6 + 9.4. Let n = 13 - t. Which is the closest to 0.2? (a) -1 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 858 (b) -0.4 (c) 3\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165\/4 or -42?\nAnswer: -165\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 253487 times -0.1\nAnswer: -25348.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57758400 and 350.\nAnswer: 57758400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9635*l + 57818. Calculate c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/3900 and -15\/44.\nAnswer: 42900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 11231013?\nAnswer: -11231131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1936391\/2 or 968197?\nAnswer: 1936391\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.174 and -4.2.\nAnswer: 0.7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2057)*-2 + 3.\nAnswer: -22*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2597 + 3607. What is the greatest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1765 - 2018)*(-3)\/23?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -0.01. Let d = 9.06 + t. Let r = -8 + d. Which is the second biggest value? (a) 1\/2 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 2, 39, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 2*c**3 + 4*c**3 + 2*c**3 - c as y*c**2 + r + j*c**3 + t*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 3*w**2\/2 - 4*w + 2. Let m(i) be the third derivative of i**4\/12 - 273*i**2. What is m(o(u))?\nAnswer: 6*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5667100 or 5667101?\nAnswer: 5667100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 650\/13 - (-18 - -82)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/7 - 12*j**3\/7 + 22*j**2\/7 + 120*j\/7 - 200\/7 = 0. What is j?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*m - 1. Solve m*v - 12 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*u - 8 = 2*u, f - 4 = -4*u. Let s be (-1)\/3 - 15\/9. Let x be ((-5)\/70)\/(1\/2). Which is the nearest to -2\/7? (a) s (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 407, 415, 427, 443, 463?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*d - 2*d + 44, 3*d - 5*s - 33 = 0. Is 11 a factor of ((-1)\/(-2)*10 + 1)*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = x + 3*x. Let r = 87\/4 + x. What is the third smallest value in 0.08, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 446, 290, 120, -70, -286, -534, -820?\n\"Answer: -o**3 - o**2 - 146*o + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(-1*sqrt(360)))\/((sqrt(7) - sqrt(63))*-6 - sqrt(252)\/sqrt(9)).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 15 = 0, 11 = -5*y + 5*h - 154. Which is bigger: y or -38?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfsssfvssfsfffovf. What is prob of sequence so?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 413268 and 102?\nAnswer: 7025556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -408429 < -408429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 157*w**2 - 389*w + 12268. Calculate x(155).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 22.5 (c) -3 (d) -791\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -4*k**3\/3 - 54*k**2 + 232*k - 228. What is s in m(s) = 0?\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17\/5 (b) 0.12 (c) 6 (d) 5 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (12 - 18) - (13 - 15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9974 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**32)\/i)\/(i**11*i))\/(i**1\/(i*(i*i*i**(1\/3))\/i*i)) assuming i is positive.\nAnswer: i**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -102323?\nAnswer: 102321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-2)*-1)\/((-516)\/430*5\/8)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 5) to base 3\nAnswer: -20220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-1995)\/(-28))\/19)\/(3\/560). Suppose -o - 5411 = -7*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17889 (base 13) to base 5.\nAnswer: -2423110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*b + 17*b**2 + 124*b.\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r + 37*r + 13*r + 71*r + 133*r. Let c(a) = 2*a**2. Give v(c(f)).\nAnswer: 508*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31909 is divided by 5308.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(76) - (sqrt(76) + (sqrt(76) - sqrt(76)*-1*3) + sqrt(76))) + sqrt(76)))\/((2*sqrt(6336))\/sqrt(11)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/51)*f**(-41)\/f)\/(f\/f**(-5)*f**43) assuming f is positive.\nAnswer: f**(-4643\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 3)\/(2\/(-4)). Let p be (4\/8)\/(2\/12). Let g(r) = 51*r**2 - 143*r**2 + 43*r**2 + 50*r**2 - 3. Let k(f) = 2*f**2 - 8. Determine p*k(z) + w*g(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320))**2 + 1 + sqrt(5) + -4.\nAnswer: sqrt(5) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/13364 and 19\/338?\nAnswer: 173732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bogxe. What is prob of picking 1 o and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/((v\/v**8)\/v)))\/v*v)\/(v**4*v))**(-9\/8)\/((v*v*v**(-1))**(-6\/19))**(-2\/75) assuming v is positive.\nAnswer: v**(55543\/3800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*g - 39 - 18 = 0, -j + g = -30. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(1\/4))\/(t*t**18*t) assuming t is positive.\nAnswer: t**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1203, 2407, 3611?\nAnswer: 4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 319883106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.098 (b) -0.3 (c) 1\/8 (d) -54 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 3. Let q(j) = 14*j. Calculate q(g(f)).\nAnswer: 42*f + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2*v + 2*v - v) + 1 - 3*v - 1 + (0 + 2 - 3)*(-2*v - 2 + 2) + (-3*v + 2*v + 3*v)*(-27 - 22 + 34).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 753928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 1a6?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -5908\nAnswer: 11816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -28*v - 278. List the prime factors of h(-47).\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 339, 246, -19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 22.1. Let j = 0.065 + -0.012. Is a greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -183, -276, -369?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -7 + 5*s + 0*s**3 - 5\/4*s**4 + 0*s**2. Differentiate c(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, -3, 3\/208, 3\/7?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105612 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/17 + 6768*f**2\/17 - 27048*f\/17 + 27040\/17 = 0?\nAnswer: 2, 3380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*j + c - 15, 0 = -j + 5*c - 12. Solve -2 = 5*u - j*u + y, 2*u + 4*y = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102\/(-153)*5223\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216)*1 + 3))**2 - sqrt(1216).\nAnswer: -8*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x. Suppose 5*p - 3*u + 11 = 56, -4*u + 45 = 5*p. What is the lowest common multiple of p and q(-1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-550)\/(6 + -5) + -4. Let w = m - -2308. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35205.6 rounded to the nearest 100?\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 - 33. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*v - 30, 2*l = 4*v - 2*l - 24. Suppose -2*m = -0*m - v. Suppose -5*c + 4*o + 28 = 0, 2*o + 24 = 2*c + m*c. Solve -c*g = -12 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32940811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003287 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 3810903577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {b: 1, w: 2, n: 1, u: 2, e: 2, l: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 49016367?\nAnswer: -49016370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 10 - (0 + -2 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 49*k + 68. What is v(23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1091 in 23, -1, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*d = 414*d + 6 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2)*-2)\/5. Let n = -339\/4 - -81. Let f = 3 + n. Which is the closest to y? (a) -0.1 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from nnnnnenlelnnenn.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.244 + -447874562.\nAnswer: -447874548.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a + 71. Let b = -7 + 26. Calculate the remainder when b is divided by d(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0. Let k = -491 + 1475\/3. Which is the third biggest value? (a) -4 (b) 10 (c) p (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -347, -519, -691, -863, -1035?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/7775 and -163\/30.\nAnswer: 46650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 18 = 4*s + 12*t, -3*s - 2*t = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/10)\/(144\/(-15)). Let t = 19\/224 - b. Is 0 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - t + 2. Give o(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -244951273.\nAnswer: -4\/244951273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1617)\/810 + (6 - 7)*-2. Let q(p) be the third derivative of -2\/9*p**3 + f*p**5 + 0*p + 0 - 1\/108*p**4 + 9*p**2. Determine g so that q(g) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s - 6. Let y be o(-5). Suppose 4*j - y = j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13427952, 13427939, 13427934, 13427943, 13427972, 13428027, 13428114, 13428239?\nAnswer: 13428408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/7)\/((u**26\/u)\/u))**(-2\/23))**(-27\/4) assuming u is positive.\nAnswer: u**(-4401\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 - -131. Let r(u) = -31*u - 113. What is the least common multiple of r(c) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 3*k + 1. Let v be t(2). What is the tens digit of 222 + v + 0 + -2 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-14) + 12\/(-42). Let o be p\/6*-3*-5. Solve o*c = 2 + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252419 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**3 - 4*y**2 + 5*y + 16. Let x be v(-4). Let d = x - -456. Solve 0 = -4*a + 5*b - 10, 3*b + 8 = -d*a - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 15*b**2 - 28*b + 31. Let s be q(13). Suppose s*v + 20382 = 71477. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t - 2. Let r(a) = 10*a**2 + 90*a - 460. Let w(g) = r(g) - 6*u(g). Factor w(s).\nAnswer: 4*(s - 4)*(s + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23459379*9\nAnswer: 211134411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1337 - 1337.003085. What is n rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + -21960282734.\nAnswer: -21960282735.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2107)\/(-105) + -14 + (-4)\/10. Which is the fourth smallest value? (a) 0 (b) 2.1 (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, -32 in decreasing order.\nAnswer: 1, -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1055 + -1052. Which is the biggest value? (a) i (b) -1.05 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*sqrt(1008)*2*-4 - 5*(0 + sqrt(1008) + 2)))**2.\nAnswer: -6720*sqrt(7) + 1234864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = -6. Let z = 13 + 2. Let m be -2*(z\/w + -2). What is the nearest to m in -1, -4\/3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-7)\/2*((-4825)\/(-350) + -12)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*i + 2178*i + 19580 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92344 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*b + 246*b = -4*y - 10 + 2, 16*y = 3*b - 40 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h + 2*y, h = 6*h - 4*y - 32. What is the remainder when (1 + -2)\/((-1)\/11) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*v + 15, 5*q - 3*v - 15 = -0*v. Suppose -y + 5*m + 16 = 0, 0 = 4*y - q*m - 4 - 60. Calculate the remainder when 191 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6. Let g be 124\/7 + (-6)\/(-21). Is 8 a factor of 156\/g + l\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2903*a + 76771 + 27737 = 0 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 25240*l + 2691755.\nAnswer: 5*(l + 109)*(l + 4939)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37386100 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:46 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -21379.738316.\nAnswer: -21375.738316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7787 and 298901?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35495962 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3797295248.\nAnswer: 2, 6089, 38977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -35*n**2 + 7*n - 7. Let g(d) = d**2 - d + 1. Let i(y) = -6*g(y) - p(y). Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o - 6*o)*(0 - 4 + 5)*(0 + 0 + 2*o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -309.7, 0.2, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 507578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -98. Let h(a) = 2 + 4*a - 42*a + 12*a. Let m be h(-3). What is the highest common divisor of m and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 + 9357*j\/7 + 168750\/7.\nAnswer: -(j - 9375)*(j + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*l - 2*g, l + 0*g + 20 = 4*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -199*v**7\/42 + v**4\/6 - 7*v**3\/6 + 15*v**2\/2 + 2*v - 62. Find the second derivative of h(m) wrt m.\nAnswer: -3980*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 9. Suppose 0 = -5*y - 6 + q. Which is bigger: y or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m - 12. Let l = -156 + 236. Let a be 16\/l - 88\/(-10). Is d(a) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 8657*c**2 + 18722920*c + 56246700.\nAnswer: (c - 4330)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**3 + 8*c**2 - 96*c = 0. Calculate c.\nAnswer: -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:43 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 24. Suppose 3*h - 9 = b, -2*h + 23 = 2*o + 7. Suppose 3*m + 114 = 6*m - 3*c, o*m - c = 178. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176.64269 + -7.34.\nAnswer: -183.98269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20 = 7*o - 8*o, 0 = 5*r + 4*o - 73. Find the second derivative of r*p - 53*p - 39*p**2 + 3 + 18*p + 19*p wrt p.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6680921 rounded to 2 dps?\nAnswer: 6.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 5) + 1*17 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10948659 + 21761.98?\nAnswer: 10970420.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*m - 323 = 672*m - 1385*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*6\/4 + 2. Suppose -38*i = -16*i - 440. Let n(o) = -o**2 + 5*o. Let h be n(4). Solve -2*z = -h*t + 10 + 10, -m*z = 4*t - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 321*s.\nAnswer: -3*s*(s + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {h: 2, v: 1, u: 7}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3152 in 6, 60, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -655*d + 403472. Give l(616).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -p + 3*n - 5, 5*p = 3*n + 24. Solve -2*i + p = 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/18 and (25\/10)\/(-2 + -2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -253*l**3 + 8*l**2 + 32*l - 399. Let d(h) = -253*h**3 + 6*h**2 + 24*h - 400. Let t(v) = 4*d(v) - 3*w(v). Differentiate t(j) with respect to j.\nAnswer: -759*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2402528 by -16.\nAnswer: 150158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531261 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h - 10 = 0. Let p(f) = 33*f + 152. Let s(o) = -11*o - 51. Let b(t) = h*p(t) - 7*s(t). Differentiate b(n) wrt n.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvy when three letters picked without replacement from {y: 3, b: 1, v: 3, s: 2, a: 1, c: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 0.9. Let k = -0.5 - -0.1. Which is the nearest to r? (a) -0.3 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 24. Let q = -10.04 + 10.0934. Let b = -0.0466 - q. What is the nearest to o in -2, 4, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -336, -518, -720, -948, -1208, -1506, -1848?\nAnswer: -2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 30 = 5*v, 120*s - 5*v = 119*s + 6. Let r(t) = -5*t - 7. Calculate r(s).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (38 - 37 - 4)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + -7 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27257710?\nAnswer: 2, 5, 811, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/5? (a) 1.8 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69904810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 5*p - 1. Let b be i(-4). Suppose -117 + 0 = -b*v. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474 (base 16) in base 6?\nAnswer: -111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 459?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*p, -3*z = z - 5*p. Suppose z = h - 6 - 1. What is the highest common factor of 63 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26950, -53906, -80862?\n\"Answer: -26956*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61611*v**3 - 166950*v**3 - 85393*v**3.\nAnswer: -313954*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3165654*i**5 + 384371*i + 2 wrt i.\nAnswer: -63313080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*l + 2*l - 28, 3*l - 24 = -3*x. Suppose 0 = 7*u - 6*u - x. Solve -4*n = 5*g + 5 - 3, 0 = 4*g + n + u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 17*m**3\/3 - 7*m**2 - 10. What is the second derivative of t(q) wrt q?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:29 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + 1710\/36. Let s = 87 - b. Does 32 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -607 or -606?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k**3 - 12*k**2 - 162*k - 798. Let m be x(-5). Which is bigger: 8490\/7 or m?\nAnswer: 8490\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8436845g?\nAnswer: 843684500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 - 1 - 3*a + 4*a - 4. Suppose 4*i - 2*g - 8 = -5*g, 0 = -g - 4. Calculate u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -28eb3e?\nAnswer: 28eb6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l + 3. Let g = -1387 - -1382. Let n = 0.02 - 2.02. Which is the nearest to -0.07? (a) l (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(7) + sqrt(63) + -4)**2 + -1*sqrt(252))*3 - -6*(sqrt(63) - ((-2*sqrt(63))**2 + 4))*2.\nAnswer: -4224 + 378*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 6 = 14*b. Let n be (-17)\/(-5) - b\/5. Let m(d) = -2*d - 9. Let a be m(-6). Is n < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-269840)\/(-232) + (-1 - -2) - -3. Let w = -1167 + y. Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10440, -20880, -31320, -41760?\n\"Answer: -10440*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - -85. Let x = g - -10. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79513954 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: Calculate -0.096*0.02.\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 258883 or 110?\nAnswer: 258883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojjoojjjyjooy. Give prob of picking 1 y and 3 j.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21))**(-19\/2) assuming d is positive.\nAnswer: d**(399\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0.13, -133\/3 in increasing order.\nAnswer: -133\/3, -4, -2, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/76998, -4, -1\/4, 5, -3, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3242487 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23116 - 87249 = -7*a + 90056. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 219*l\/4 + 371.\nAnswer: (l - 212)*(l - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -23. Solve -4 + 3*y**4 + 2 - 7*y**2 + 21*y**4 + 26*y**3 - b*y = 0.\nAnswer: -1, -1\/2, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, -17, 193\/4, -0.5, -2?\nAnswer: 193\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 8*k**2 - 2 - k**2 - 5*k**2. Let s(p) be the second derivative of -p**3\/6 + p. What is m(y) - 4*s(y)?\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4983 + 4904 - (-58 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-137 - 3*x + 137)*(0*x + 0*x - 3*x)*(-2 - 2 + 5) as c*x**2 + j + p*x and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 5. Let y(m) = m**2 + 2*m - 4. Suppose 4*j - 29 + 17 = 0. Let r be j + -3 + -2 - -6. Let w(c) = r*n(c) - 5*y(c). Give w(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2 + -1) - 0. What are the prime factors of (-188)\/(-12) - n\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/234475 and 17\/200575.\nAnswer: 16647725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(-30)*x**(-2\/29)*x**(-5\/6) assuming x is positive.\nAnswer: x**(887\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 36. Suppose 2*u + i = -u. Let x(t) = 3*t**2 + 7*t + 3. What is the remainder when x(u) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -19\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -187698 divided by 574\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(475) - (2 + sqrt(475) + -3)) + 3))**2*5.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133837 and 139127.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 0.93\nAnswer: 16.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3514 - 458. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/5*g**4 + 12\/5*g - 16\/5*g**2 + 0 + 1\/5*g**5 - 3\/5*g**3 = 0. Calculate g.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53924224 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -129. Suppose -96 = 17*q - y*q. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 6*d - 2. Let u(x) = x**2 + 7*x - 3. Let h(v) = 4*u(v) - 5*w(v). Let f(m) = 3*m**2 + 4*m + 5. Let a(n) = 2*f(n) + 5*h(n). Solve a(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -37. Let f be 26\/i - 10\/15. Which is the nearest to -0.1? (a) 4 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 = 15*j + 6944. Which is the second smallest value? (a) 1 (b) j (c) 3\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 20, -4*x + 1515 + 973 = -u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12018 or -2?\nAnswer: -12018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3513700 to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 82187 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: Solve 11 = -3*t + 5*r + 2, -2*t = -5*r + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/3 - 122*j**4\/3 + 1192*j**3\/3 + 20240*j**2\/3 + 20944*j + 18720 = 0?\nAnswer: -130, -6, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 = 6. Suppose 0*o + v*o = 40. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 10, 5 in increasing order.\nAnswer: -2, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 1, x: 1, d: 1, m: 2, k: 2}. Give prob of sequence qm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50568, -50613, -50658?\n\"Answer: -45*k - 50523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 214005, -0.4, 1\/4, 0.08, 2\/13?\nAnswer: 214005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**2. Let d(v) be the third derivative of -v**5\/5 + 459*v**2 - 2*v. Give d(k(s)).\nAnswer: -2028*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 712258*r + 13532180.\nAnswer: 2*(r - 356110)*(r - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 29188*f - 18258984.\nAnswer: -4*(f - 6606)*(f - 691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 736*o - 41242. Give n(61).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*r**6 + 85269*r**5 + 3*r**3 - 8*r**2 - 1964*r - 11?\nAnswer: -7320*r**3 + 5116140*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 40*z - 2764. What is y(69)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 136890336.\nAnswer: -136890335.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 710 and 239270?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 39*h**2 + 480. Let u(c) = -2*c**2 - 20. Let z(m) = 3*n(m) + 72*u(m). Let w(j) = -76*j. Determine z(w(o)).\nAnswer: -155952*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -448.38 - -448.58. Which is the nearest to 1\/2? (a) -1 (b) -7\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -66, 10\/27, -0.3, -4, 0 in increasing order.\nAnswer: -66, -4, -2, -0.3, 0, 10\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*k - 102 = -52 - 50 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 682.1, 2, -0.08, -1\/4 in descending order.\nAnswer: 682.1, 2, -0.08, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**2 + s**2)*(4*s - 2*s - s) + 5*s**3 + 2*s**3 + 0*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2114, 16995, 57386, 136043, 265722, 459179, 729170, 1088451?\n\"Answer: 2126*b**3 - b**2 + 2*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c. Let s(n) = 2*n. Suppose 2*u = u + 7. Let p(i) = u*s(i) + 2*q(i). Let w(l) = -l. Give p(w(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24978 is divided by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (4 + sqrt(7)*-4)*6 + 2.\nAnswer: -24*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Suppose j = -2*b - 0*b + 49, -q*j + 12 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 1235, -7 in ascending order.\nAnswer: -7, -5, -3, -1, 1235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + -0.31. Let k be 12\/(-24) + 18\/20. Let p(x) = -x**3 + 3*x**2 - x + 4. Let t be p(3). Which is the second biggest value? (a) t (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 0.1, 1\/3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3530 - -2?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760 = -594*w + 298*w + 258*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j**2 + 35*j - 2. Let k(m) = m**2 - 4*m. Give 4*k(u) + y(u).\nAnswer: -6*u**2 + 19*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(95)*2 - sqrt(95))*-2 - sqrt(95)) + sqrt(95))*3)\/((sqrt(60)*2)\/sqrt(12) + (sqrt(25)*-2 + sqrt(25))\/sqrt(5)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.1 - -66.1. Let k = 52 - i. Let c = -18\/55 + -4\/55. What is the nearest to k in -1\/4, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + 3*r**2 - 2*r**2)*(303 + 342*r + 471 - 344*r)*(2 - 12 + 0) to the form c*r**2 + b*r + h*r**3 + q and give c.\nAnswer: -15480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -143 * 0.2\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-18) + (-3 - 28\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3250 or 3252?\nAnswer: 3250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3 = -5*f. Put 3, f, 4\/9, -5 in increasing order.\nAnswer: -5, 4\/9, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3 and 3\/9*1832\/(-104) - -5.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1, -0.07, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -763*o - 5540. Calculate the lowest common multiple of t(-8) and 1880.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143725353 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 3*l. Let f be q(-3). Suppose f = -4*p - a + 24, -4*p - 8 + 40 = 3*a. Solve 0*w + 15 = -p*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 256 + -255.8. Which is the closest to -1? (a) 3 (b) -0.06 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643\/4 + -162. Let z = 14.318 - 14.218. Which is the closest to z? (a) -0.2 (b) v (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669080 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:53 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*x + 23 = 0, 4*z = 2*x + 2 - 0. Suppose -z*i = -6*i + 6. Solve 2*y + 3*j = 15 - 1, -i*j + 11 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + d**2 + 4*d + 2. Let v be b(-4). Let y = 225 - v. Suppose k - y = -2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*j - 2*p + 16, -2 = 4*j - 5*p. Suppose -78 = -4*i - 2*d, 0 = 3*i - j*d - 10 - 45. Calculate the remainder when i is divided by (2 + 0)*(2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16227335+-0.4\nAnswer: -16227335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(120\/(-150))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1432640 by -370.\nAnswer: -3872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 + -3. Let x = -41.1 + 38. Let b = 3 + x. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {j: 3, r: 4, p: 1, s: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 - 14*j + 10. Let t be g(3). Suppose 4*h + 3*v = 176, -t*v = 4*h - 169 - 11. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppdspscpcpcpppcpdc. What is prob of sequence scdd?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Suppose w + 3 = -m + 5, -5*w - 3*m = -4. Let s = -3 + w. Which is the second biggest value? (a) 1\/4 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-3) + (-46)\/(-2). What is the greatest common factor of y and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*h = -11, 3*h + 5 - 24 = 5*m. Let k(v) = -2 + 2*v + 4*v**2 - v - 2*v**3 - 5*v**2 + 7*v**3 - 7*v**3. What is k(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95349 (base 11) to base 7\nAnswer: 1115532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20*z**2 + 22*z - 3303. Let g be o(0). Is -3301 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -12 + 20 + -26 + (2 - 67 - -1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17996 + -35989\/2. Let q be (2 + (-7)\/4)*-3. Which is the third smallest value? (a) q (b) m (c) -0.03 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18594\/381177 + 160\/82?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3022?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**4 - 12*h**3 - 117078*h**2 + h - 987188.\nAnswer: -24*h**2 - 72*h - 234156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113276177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 + 2*s. Let z = 47 + -52. Let g(d) = 2*d**2 + 5*d - 5. Let b(j) = 2*j**2 + 4*j - 4. Let t(p) = z*b(p) + 4*g(p). Calculate u(t(m)).\nAnswer: 40*m**4 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -21*l - 1354, 1125*f - l - 72 = 1129*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 26722 + j**2 + 27355 - 53066 in the form q + u*j**2 + d*j and give q.\nAnswer: 1011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 9470 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*v + 2*v + 147. Suppose -3*j = i + v, -6*i + 4*j = -2*i - 4. Let l(f) = -12*f**2 - 2*f. Let h(u) = -u**2. Calculate i*l(a) + 8*h(a).\nAnswer: 4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 118. Let l be t + 2 + 6 - (0 - 0). Calculate the highest common divisor of 63 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -230 + 229.5. Suppose -505 - 423 = 4*o. Let j = o + 1627\/7. Which is the biggest value? (a) j (b) 4\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 718.677 + -719. Let l = -0.21 - t. Round l to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*i = 2, -2*x = -i - 5 + 4. Suppose 0 = 4*y - 3*r + x, 2*y - 3*y + 4*r = 7. Differentiate -5 + 3*f**3 - f**3 + y with respect to f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 11*n**2 + 10*n + 3. Let b = -933 + 923. Calculate j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) + 9\/((-54)\/20). Let o be (-1)\/(-2)*-92*6\/z. Find the common denominator of 51\/32 and o\/8 + (0 - -4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -3, -49\/31, -3\/4, -4 in descending order.\nAnswer: 36, -3\/4, -49\/31, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4)*-1)\/(61\/24418666) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/532)\/(-4*18\/504)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2484, 9926, 22328, 39690, 62012, 89294, 121536?\n\"Answer: 2480*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 35, 34, 33, 32, 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/100 and 14\/5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 16 = 2*p + 56, 3*n - 4*p = 38. Suppose 0 = -3*y + t + 107, -2*y = 2*t - n - 68. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 28*r\/3 + 16.\nAnswer: 2*(r - 12)*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2448*g**2 - g + 6. Let k(r) = -2447*r**2 - 2*r + 7. Let q(l) = -4*a(l) + 3*k(l). Let y be q(-1). Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51175*i**2 + 362*i + 5.\nAnswer: 102350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76) + 1 + sqrt(76) + 2)) + 3*(1 + sqrt(76)) + 1*(sqrt(76) + -6*(-1 + sqrt(76))))**2.\nAnswer: -96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 634, 2124, 5020, 9790?\nAnswer: 16902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, v: 1, j: 6}. Give prob of picking 1 j and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*g + 28 = 6*g, -n - 12 = -4*g. Suppose -28 + 1048 = n*k. Suppose k = 7*l - 2*l. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q**3\/7 - 99*q**2\/7 + 180*q\/7 - 96\/7 = 0. Calculate q.\nAnswer: 1, 8\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108741 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.036?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-3))**18)**48)**(-7))**(1\/57) assuming a is positive.\nAnswer: a**(6048\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1080530.761 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -24, -25, -24?\n\"Answer: f**2 - 6*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/1880516 and 38\/869.\nAnswer: 1880516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 3 - (9 - 7 - 4)) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -368843 divided by 103?\nAnswer: -3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13236 + -2204. What are the prime factors of p?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/14)\/((p**14*p)\/p) assuming p is positive.\nAnswer: p**(-195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -75*b. Let o(u) = -11*u**2. What is c(o(i))?\nAnswer: 825*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 1. Let i(k) = 24*k + 18*k - 7 - 16*k - 15*k + 4. Let v be ((1 - 5) + 1)*1. Give v*i(u) + 8*g(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2909 - 832*n - 6056 - 1655 + 4*n**2 + 27160 + 20906 = 0.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*w = -323*w - 936 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/10 and 43\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/6 (b) 1150.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-481)\/91 - -5). Let l(u) = -2*u**3 + 7*u - 1. Let k(s) = 4*s**3 - 15*s + 3. Give n*l(g) + 3*k(g).\nAnswer: -2*g**3 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 3 + 3*l + 69 - 2*l**3 - 2*l**2 in the form c*l**2 + v*l + a*l**3 + x and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 6*v - 3. Let w be b(5). Suppose 0 = -p, -4*p + w = 2*q - q. Solve 0 = -q*k - 2*j + 10, 2*k + 0 = 2*j - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2 + 11114*o - 30880249 = 0 for o.\nAnswer: 5557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*d + 17 + 1 - 2 - 5 - 12.\nAnswer: -237*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.624193 nanometers to kilometers.\nAnswer: 0.000000000001624193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*(-2 + 1). Let r = 0.155 + -0.055. Sort 3, x, r.\nAnswer: x, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + 5*j)*(289 + 127 + 109 + 593).\nAnswer: 5590*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 1463641?\nAnswer: 1463624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6) + 21\/14. Suppose j + q = 5*y - 4, 4*y = -4*j + 16. Let h be j\/(-24) + (-4)\/(-16). Is -2\/3 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416 + 416 + 63*h**3.\nAnswer: 63*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 62359452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from sxmmggwsy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 18*d - 23. What is the smallest common multiple of 7 and w(-16)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16969*d**4 + 2*d - 15041.\nAnswer: -203628*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**21*s**(-23))**(3\/40) assuming s is positive.\nAnswer: s**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 6. Suppose -l = 4*z - 21, z + f*z - 3*l - 17 = 0. Suppose -3*t = -0*t, -210 = -z*p + 4*t. Solve 8 = -2*v, 5*v - 7 = -3*s - p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*y + 45*y + 4*c - 21, -4*y + 48 = -2*c. Calculate the remainder when 131 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9)\/(v\/(v**(-2\/13)*v*v)))\/(v\/v**(-1\/2)*v)**(4\/5))**33 assuming v is positive.\nAnswer: v**(-1199\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 51 (c) 0.1 (d) -1\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let s(o) = 2*o - 2*o - o**u. Let g(a) = 8*a**2 - a**2 - 5*a**2. Determine s(g(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*x - 23. Which is the closest to 0.3? (a) x (b) -1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*(-4)\/5. Let o be (-33)\/(-5) - 3\/5. Solve o = -t*u - u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5634530 (base 10) to base 16\nAnswer: -55f9e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11849 (base 12) to base 16\nAnswer: 5c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -11, 4 in descending order.\nAnswer: 7, 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16762 and -88073.\nAnswer: -104835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -101310103?\nAnswer: 101310112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1807087 divided by 3\nAnswer: 1807087\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, -8569, -32193, -78183, -153991?\nAnswer: -267069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 567497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 81670*c**2 + 147021136*c - 67702291808 = 0 for c.\nAnswer: 932, 38971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**3 - 2*g**2 + 3*g + 19. Let y be t(-3). What are the prime factors of y*5*8\/40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*b + 63*b = 2. Solve 2*q - 12 = -b*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-675)\/300*(-8)\/(-42)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-46) - (717\/(-46) + 4355\/670). Solve 2*n - 4*f - 10 = 0, -5*f + u = n - 3 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 724746877 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42775 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3419 - 3530. Which is smaller: w or -89?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1914)\/(-145))\/(36\/37740).\nAnswer: 2, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/1337 and 47\/3843?\nAnswer: 734013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:31 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 11*a)*((1 + 2 - 1)*(0 - 1 + 2) - 1 - 3 - 1 + 0 + 2 + 0).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 136. Is t less than or equal to 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-78)\/234)\/(2\/(-26724))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107424, -107423, -107422, -107421, -107420?\nAnswer: -107419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f*r**3*t*u - 2*f*r**2*u**3 - f*r*u**3 + 2*f*r*u**2 + 20*r**3*u**3 + 5*r*t*u - 2*t*u wrt r.\nAnswer: -18*f*t*u + 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7579645?\nAnswer: 5, 1515929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-70) - (6 + (-194)\/16)*4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x - 153. Let l be n(-26). Let j(r) = r**l - 1 - 23597*r + 23606*r - r**2 + 10*r**2. Calculate j(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 5, c: 5, v: 1, b: 1, d: 2}. What is prob of sequence wc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318986 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 + 11*o. Let r(g) = -g**2 - 2*g. Let l = -3646 + 3644. What is l*k(z) - 11*r(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-27)*(-6)\/(-10). Sort 0, -2, h in descending order.\nAnswer: 0, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556938570 rounded to the nearest one hundred thousand?\nAnswer: 556900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**3\/3 - 7*m**2\/2 - 4. Does 34 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.32 + -0.29. Sort -0.2, 0, b, -1.\nAnswer: -1, -0.2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 25*x = -30. Solve 10*v = x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/99 and -155\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1129*t**3 + 11*t - 225. Let p(o) = 225*o**3 + 2*o - 45. Give -11*p(a) + 2*y(a).\nAnswer: -217*a**3 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98172928?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1084 + -1074. What is the nearest to -0.2 in 3, z, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -44*y**3 - 33*y**2. Let d(v) = v**3 + v**2. Let r = 3733 + -3734. Give r*z(j) - 33*d(j).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2 + 7*j - 2. Let u be (-77 - -74) + (-1)\/((-1)\/11). Let z(n) = n - 2 - 7*n**2 + u*n - 3*n. Determine -6*t(l) + 7*z(l).\nAnswer: -7*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(243) + sqrt(243) + (sqrt(243) + -5 - sqrt(243)))**2.\nAnswer: -1994 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -13*a + 40 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 11:25 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*y = -3 + 27, 3*y = -4*u - 41. Let v = 7 - 9. Let n be (12\/126)\/(v\/(-3)). Which is the second biggest value? (a) u (b) n (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 18*x**2 + 156*x + 107. Give z(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)*((g*(g\/(g*g*g**(-2\/13)))\/g)\/g)\/g)\/((g**3\/g)\/(g*g**6)) assuming g is positive.\nAnswer: g**(263\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916 by -2.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = 3*n + 2, 5*n = 5*p. Suppose 4 = 4*m - 2*k, -2*k - 7 = -n*m - 3. Solve -5*j - 9 = 4*h, -h = -j - m*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/1*(169\/195)\/(-13)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (7 + -5))\/3. Suppose n = 3*x - 5 - 1. Calculate the greatest common factor of x and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -583*m**3 + m**2 - 16*m - 6. Let c(h) = 585*h**3 - h**2 + 13*h + 5. Determine -6*c(s) - 5*z(s).\nAnswer: -595*s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-22) - (-2)\/11. Let x be 5 + (2 - (h - -4)). What is the second derivative of -3 + 1 - x*l**4 + 4*l + 2 wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 2*d**3 - 2*d**3 + (-d + d - d)*(-2*d**2 - d**2 - 2*d**2).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.03, -2, 6, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2882)\/(-655)*9\/(-99)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101513.4 grams in tonnes?\nAnswer: 0.1015134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 + 265. What is the highest common divisor of c and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -4 (c) -4\/7 (d) -1525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:19 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1046104 to the nearest 10000.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 41. Let u = 32.972 + q. Let h = u + 0.02799803. What is h rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.5, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 0, -41, 1\/81, 7, -2 in ascending order.\nAnswer: -41, -2, -3\/8, 0, 1\/81, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 146032?\nAnswer: -146026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/166 - -81\/332. Let z be (2\/(-8))\/(2 + -3). Suppose -3\/4*p**2 + s*p + 1\/2 - 1\/4*p**3 + z*p**4 = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11950ab - -4?\nAnswer: -11950a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 253050 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdwbbbbbwww. What is prob of picking 3 w and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16504290 a multiple of 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315994329 to the power of 1\/2, to the nearest integer?\nAnswer: 48125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 87*j = 83*j + 8, 0 = 2*d - 5*j + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 2*u**3 - 1059*u**2 + 232*u**2 + u**3.\nAnswer: u**3 - 827*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:21 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2799*u + 5895 - 97874 = -1015*u + 41821 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(8\/(-10))\/2. Let z = 489.9246 - -0.0754. Let y = z - 490. Which is the closest to 0? (a) y (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26961 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 3894.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5795944 by -18818.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(240)\/sqrt(6)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, -2, -1, 1, 4, -3 in decreasing order.\nAnswer: 42, 4, 3, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21954 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1275149 rounded to four decimal places?\nAnswer: -0.1275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**2*s + 6*b**2*y + 14*b*k*y - 2*b*s*y + 2*k*s*y + k*y + 4*s*y with respect to s.\nAnswer: 4*b**2 - 2*b*y + 2*k*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from wbbfbbf?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*b = -1, -f - 5*b - 8 = -4*f. Let r be 3 + (f - -8) + (1 - 1). Suppose 8*i - r*i + 368 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -173, 23, -4, 5, 447, -5 in ascending order.\nAnswer: -173, -5, -4, 5, 23, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2. Let p(l) = -7*l + 5. Let t(w) = 3*p(w) - 6*z(w). Let s(o) = -4*o. Determine t(s(b)).\nAnswer: 84*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99184854?\nAnswer: 2, 3, 521, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58195?\nAnswer: 5, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j + 19. Give w(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*x + 42042 = -127*x. Calculate the lowest common multiple of 910 and x.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*((sqrt(19) - (sqrt(19) + (sqrt(171) - 1*sqrt(171))))*-6 + -4*sqrt(19)*-1*4)**2.\nAnswer: -97280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (38\/10 - (-12)\/20). What is the third biggest value in 5, 0.02, -1\/8, u?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {f: 1, u: 4, a: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/14 - 9087819\/819)\/((-8)\/24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 0*h**2 + 3 - 1\/3*h**3 + 21*h. Let u(t) = -8*t + 17*t + 12*t. Give m(u(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 4*j**2 + 0*j**2)*(-2*j**2 + 0*j**2 - j**2).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 380*u + 6. Let o(n) = 373*n + 3. What is 2*c(w) - 3*o(w)?\nAnswer: -359*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10*w. Let p = 1809020\/171 + -10579. Let c = -149\/2907 + p. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/5 - 1403*s**2\/5 + 489991*s\/5 + 1482627\/5 = 0. What is s?\nAnswer: -3, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 + -118. Sort -1\/5, x, -0.1, -0.5 in increasing order.\nAnswer: -0.5, -1\/5, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 - 14275*s - 273030 = 0 for s.\nAnswer: -19, 2874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*n**2 - 7*n**2 + 16*n**2 - 4*n**2 + 3*n**2 + 0*n**2 + (-2*n**2 + 2*n**2 + n**2)*(-2 + 2 - 3).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 77\/982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exs when three letters picked without replacement from qmqixees.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - 3*b - 4, 2*b + 9 = 5*a. What is the units digit of 0 + a\/1 - -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 156*q + 135*q.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863355.\nAnswer: 3, 5, 57557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9009 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let o(v) be the second derivative of 3*v**4\/4 + 4*v. Let a(i) = -26*i**2. Let l(s) = 3*a(s) + 8*o(s). Determine q(l(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + s - 131, 3*s + 247 = -3*l + 7*l. Suppose y - l = -y. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 934260 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 5104735?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 2\/25*n**5 - 1\/30*n**6 + 0*n - 1\/20*n**4 - 18 + 0*n**2 + 0*n**3. Determine u so that s(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.294623 + 1937\nAnswer: 1925.705377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1440\/150)\/(4\/(-210)). Let u = a - -953. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -72768, -291116, -655030, -1164510, -1819556?\n\"Answer: -72783*m**2 + m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12334 (base 6) in base 2?\nAnswer: 11101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m**2 - 9*m**2 + 5*m - 94*m**2.\nAnswer: -127*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 221994 * -5\nAnswer: -1109970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349\/(-7 + ((-300)\/8)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46235726 to the nearest integer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 21*y + 251. What is z(0)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 80*f**2 + 56*f**2.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - f + 2. Let k be p(2). Let s be ((-24)\/7)\/(k\/140). What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2588742 and -67\/5772?\nAnswer: 5177484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 90*k**3 + 45*k**3 - 2*k - 199*k**2 - 1 + 46*k**3 + 10 in the form q*k**2 + v + g*k + m*k**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1480, 0.125, -3\/7, -3 in descending order.\nAnswer: 3, 0.125, -3\/7, -3, -1480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688, -687, -686, -685, -684?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - q**3 + 4)*(31 - 31 - 2*q + (-q + 4*q - q)*(1 - 4 + 2)) as o*q**2 + v*q**3 + w*q**4 + g + i*q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 - -102?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.596 - -0.34.\nAnswer: -2.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 3786334*w\/7 + 3786348.\nAnswer: -2*(w - 1893174)*(w + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/84)\/((-4)\/(-28)). Sort 0.01, -23, n, -5 in increasing order.\nAnswer: -23, -5, n, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3376 and -18 + 1221\/66 + 2 + 11806\/4?\nAnswer: 23632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-584)\/3)\/(3 - 44\/12).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q*q**(-5))\/q))\/(q\/(q\/(q*(q*q*q*(q\/q**5)\/q*q)\/q*q))*q)*(q\/(q\/(q**(-1\/5)*q*q))*q)\/q**(-2) assuming q is positive.\nAnswer: q**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 33. Suppose 57 = -3*j + r*z, -4*j = -z - 3*z + 76. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*f = 1361, -2 - 7 = 3*f. Let r = m + -240. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 146127168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1047147?\nAnswer: -1\/349049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/9)\/(2\/48). Calculate the common denominator of (906\/16)\/(18\/a) and -21\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 7. Let p be z(3). Let l = 13 + p. Let j = 5 + l. Let w(u) = 2*u + 3. Give w(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8378303 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 j when three letters picked without replacement from jsujfdy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Suppose 3*n - k + 9 = 0. Let q be (4\/14)\/(2\/(-4)). Which is the second biggest value? (a) -2\/11 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 1 = -3*r. Let u = r - -15. Suppose -3*f + 3*l + 75 = 0, l = f + u*l - 9. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 12*p**2 + 2*p - 13. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000845309 to six dps.\nAnswer: -0.000845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31564164 by -587.\nAnswer: -53772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 4*r - 7, 0 = 4*b + r - 6*r - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -89. Let d = -18 + y. Which is the nearest to d? (a) 1 (b) 4\/7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48735000 rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 59. Suppose -4*s - 4*c + 57 = -5*c, 3*s - c = m. Calculate the common denominator of (50\/s)\/((-24)\/153) and 31\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + 3 - (-6 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422433 is divided by 614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 2*s + 3*s - 2*s + 1 + 6*s - 5*s + 3*s - 10*s - 4*s + (-2 + 2 - s)*(-5 + 3 - 4) to i*s + k and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*h**2 + 179*h + 187*h - 366*h)*(0*h - 2*h + 3*h).\nAnswer: 153*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124432 - -180736. List the prime factors of n.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*w + w - 202, 0 = -3*v - 9. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n + 5. Let b(q) = -13*q + 4. Determine -2*b(i) + 3*h(i).\nAnswer: -13*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 881 + 478. Suppose -5 = -2*z + 3, -4*k - 5*z + 8484 = 0. Let m = k - x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1655 = 3*u. Let d = u - 191. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(847) + -2 + 0 - (-1 + (sqrt(42)\/sqrt(96) - -2*sqrt(7)*-1))))**2.\nAnswer: -102*sqrt(7) + 18463\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 2. Let k(g) = 6*g**2 + 11. Let v(a) = a**2 - 14*a + 34. Let r be v(4). Let m(b) = r*k(b) + 34*l(b). What is m(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {e: 7, f: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1\/19 (c) -102 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a109 (base 11) to base 3.\nAnswer: 101100112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001337241 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + (sqrt(162) + -5 + 0 + sqrt(162) + 2 - (sqrt(162) + -4*2*sqrt(162) + 1))))**2.\nAnswer: -648*sqrt(2) + 52492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182195 = -26*v + 445341. Calculate the highest common divisor of 56 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31002535037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 114. Determine q(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 41 + 39 = 0. What is the highest common factor of x and 465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - -8) - (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 8. Solve 0 = -g*c + 3*i + 13, -6 = -2*c - 0*c + 2*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 59) + 131 + -119 - -103?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) -6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 12*n**2 - 15*n**2 - 2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4774, -4761, -4748, -4735, -4722, -4709?\n\"Answer: 13*f - 4787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547636.\nAnswer: 2, 3, 7, 13, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j + 2*j**2)*(-7*j**2 - 4 + 4) + 0*j**4 - 1 + 3 + j**4 to the form c + r*j**3 + h*j**2 + x*j**4 + g*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*s. Solve s*p = 5*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -5. What is the first derivative of -3 - 3 + n + 3*p**3 + 3 wrt p?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58.24 + 0.76. Let q = i - 59.00000068. Round q to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 - 5*q + 2. Let u be v(3). Let t(g) = g**3 + 12*g**2 - 16*g + 9. Let p be t(-13). Suppose c - p - u = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 + 7*v + 16. Let a(c) = -5*c**2 - 5*c - 16. Let q(n) = -4*a(n) - 3*h(n). Determine q(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1525671 and 56?\nAnswer: 12205368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 3*n)*(30*n + 3 + 50 - 46).\nAnswer: 30*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-4)*((-132)\/(-9))\/11. Suppose -w + 2 = -3*t, u*t - 4*t - 4 = -2*w. Solve 3*g - w = -17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*s**3 + 2*s**4 + 8*s**3)*(-3 + 2 + 2) + (1 + 2*s**3 - 1)*(-1 - 4 + 2*s + 4) as u*s + m*s**4 + r*s**3 + b + v*s**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0*w + 0*w - 17*w**2 - 20*w**3 - w + 15*w**2. What are the prime factors of o(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25146, 25145, 25144, 25143?\n\"Answer: -u + 25147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apwpfpa. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 6*y + 11. Let z be p(-2). Differentiate -14*v**3 - 4 + 42*v**z - 18*v**3 + 86*v**3 - 14 wrt v.\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (64\/(-10))\/((-103)\/146260)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 4. Suppose 0 = -4*d - 11 + 43. Let f be ((12\/d)\/3)\/((-1)\/(-12)). Determine t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 2, 2911718, 3 in decreasing order.\nAnswer: 2911718, 4, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, q: 13}. Give prob of sequence qqq.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210220*z**5 + 5*z**2 - 15077 wrt z.\nAnswer: -12613200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 223386 divided by 111693\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10661857*v**2 - 12635188*v.\nAnswer: 21323714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -f - 11, -2*f = -m + 11. Sort f, 5, -8, -2 in decreasing order.\nAnswer: 5, -2, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4575? (a) 2 (b) 197 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, r: 2, s: 1, f: 1, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12532 and 629492?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287447623 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 104*z**2 - 4. Let c(t) = 81961*t. What is h(c(q))?\nAnswer: 698630974184*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1288047375*m - 2576094745*m + 1288047364*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602745 is divided by 40182.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 10 - 4 - 0 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - 41 - 45 - 42 + 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-326)\/(-22) + (212\/(-44) - -5). Solve 20 = 5*y - 3*n - 4, -3*n = -2*y + g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 517 + 27431?\nAnswer: 30150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 130, -26, -450, -1274, -2630, -4650, -7466?\n\"Answer: -22*d**3 - 2*d**2 + 4*d + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 18310 = -11*i. Let f = 4043 - i. Does 111 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35789 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 3, 12, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -233*w - 1006. What is a(-5)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074341085 to five decimal places.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x**3 + 13*x**2 - 13*x - 9. Let n(w) = -5*w**3 - 6*w**2 + 6*w + 4. Let f(r) = -6*d(r) - 13*n(r). What is the first derivative of f(i) wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 3*h + 2 - 191*h**2 + 191*h**2 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/137374623 or 1?\nAnswer: 2\/137374623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266628 is divided by 105.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 7 + 18. Let i = t + 124\/5. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from offojoissofsjfjzf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 13*g. Suppose 3*j = -5*k + 43, 3*j - 4*k = 5*j - 30. What is the remainder when b(j) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3 + 3 - 3 - 4. Let f(s) = s - 2. Calculate 3*f(a) - 4*i(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -242667 or -242876?\nAnswer: -242667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 g when three letters picked without replacement from {r: 5, y: 3, q: 1, w: 3, u: 1, g: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4253 - 297 = -25*u. Calculate the remainder when u is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 (base 13) in base 14?\nAnswer: 1d99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/27 and -25\/1053.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 5*a**2 + 8*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 7*f**2 - 7*f + 9. Let h be d(-8). Let m be (h\/1)\/(1\/(-15)). Let s = m + 36. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*a + 1 = 0, 3 = f - a + 7. Let m = f + 12. Calculate the remainder when m is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6008 * 0.627\nAnswer: 3767.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (1 - 1 + 2)*(-2 - 3 + 2))*(816 - 155*u - 156*u + 313*u).\nAnswer: -8*u - 3264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/790 and 47\/6.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -21*s**3 - s**2 + s**3 + 12*s**3. Let m be f(-1). Let h(j) = 8*j + 2. Does 29 divide h(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -3, 2879 in increasing order.\nAnswer: -3, -1, 8, 2879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -79*j**3 + 4*j**2 - j - 1. What is o(1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1. Let s(q) = 3*q - 3. Let t(p) = 3*b(p) - s(p). Let g(v) = 4 - 3*v**2 - 4 - 2*v**2. What is g(t(m))?\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -8. Suppose j*k = 4*k + 8. Let i = 13 + k. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 1\/3, 11\/7, 0, 0.23?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 72 = 4*r. Let p(i) = i**3 - 19*i**2 + 19*i - 12. List the prime factors of p(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 8. Suppose 2*n - 4*w = -12, -4*n - 3*w + 21 = -v. Solve 0 = -4*b - n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 0 (b) 0.1 (c) -2\/29 (d) -2\/217 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - 16. Let v be ((-18)\/(-3))\/(6\/44). Let z = l + v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191163?\nAnswer: 3, 7, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41347 divided by 239?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004292 rounded to seven dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -27. Suppose -x*j + 33 = -53. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133154087191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-63)\/14)*9\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43304698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/7044 and 151\/30.\nAnswer: 35220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91595174 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: Is 7 a factor of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104718189.\nAnswer: 1104718189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -17. Suppose -4*z - 3*j = -148, -j = -z + f*j + 22. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 1\/3*v**3 + 6*v**2 + 0 - 1\/24*v**4 + 0*v. Suppose 10 = 3*m + 25. Give l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.29 and 3.\nAnswer: -21.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1243, 1246, 1251, 1258, 1267, 1278, 1291?\n\"Answer: k**2 + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5795.159 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 13. Calculate the remainder when u(-7) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/8 + 5)*(-240)\/(-192)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*r + 8882 = 0, 5*f + 58*r = 54*r + 8906. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -1\/4, 26.9, -0.3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.26 + 0.26. Let l = 23.3 + -23.4. Is l equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = p - 3, -2*p - 2*u + 10 = -0*u. Suppose 13*l + 7*l - 31 = -11. Sort p, -37, l, -1 in ascending order.\nAnswer: -37, -1, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-140)\/56)\/(1\/(1*-2)). Suppose 0 = -0*b + 5*b + o*l - 41550, 2*l - 24931 = -3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 36*x**2 - 3*x + 3. Is d(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-8))\/(1\/(-16)))\/(18*(-22)\/264)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132 and 1087852.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/140 + 67*h**5\/210 + 7*h**4\/3 + 100*h**3\/21 - 669*h**2. Suppose x(t) = 0. Calculate t.\nAnswer: -2, -2\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4963 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -3742483\/12 and -311875 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2156 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 43*n**2 - 37*n**2 + 3*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 p when four letters picked without replacement from {y: 4, p: 4, h: 8}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - ((-35)\/(-7) - 55). Suppose n = 3*q + q - 43, 5*q - x = n. Suppose -3*c - 11 = -29. Calculate the greatest common divisor of q and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11922 + 22248. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10709895, 10709869, 10709843, 10709817, 10709791, 10709765?\nAnswer: 10709739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w + 2*c, 0 = 3*w + 3*c - c - 14. Let y be 2*2\/6*6. Let f(l) = -y*l + w*l + l. Let m(i) = -3*i. Give m(f(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11*1.34714\nAnswer: -14.81854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2235.759779 rounded to the nearest ten?\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111201120 + 101?\nAnswer: -2111201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o + 54. Calculate y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/5, 0.7, 5, -2\/15?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Suppose q - 2 = -o. Suppose 4 = r - 5*c, 0*r + c = o*r - 35. Solve 0 = -4*h - 3*d - r, h + 3*d = 3*h - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 70 = -n. Let l be 2\/7 - 4\/n. Let p be (-1 - 0) + l - -6. Solve -p*b + 0*b = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - -15 - (-1 + 2). Let t = d - 21. Let z be 1 - (((-10)\/1 - t) + -3). Calculate the greatest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(2310\/20)*6\/(-4)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**5 + 5*t**4\/4 + 5*t**3\/3 - 5*t**2\/2 - 1. Factor i(q).\nAnswer: -5*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4) - (-28266)\/84. Let k = i + -109. What are the prime factors of k?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 5591604*d**3 + 2 - 5591499*d**3.\nAnswer: 105*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/216)\/(3\/834) - -1. Let b = 1\/3 - p. Find the common denominator of -35\/8 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-106)\/(-10). Let q(k) = -3999*k - 11. Let x be q(i). Round x to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.73. Let i = -1056 - -1055.87. Let j = i + o. Sort j, 2\/9, 0 in descending order.\nAnswer: 2\/9, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**3\/2 - 13*y**2\/2 - 9*y. Let k be t(-5). Solve k*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1008)\/60)\/(-28)*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from {t: 1, n: 6, x: 4, f: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 972 - 565. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29838 - 16828. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4 - k**3\/3 - k**2 - 2*k + 783. Give n(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575*x = 12200 + 3550 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/(-6)*140\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f + f - 2*f)*(-9*f - 3 - 2*f + 4*f)*(13*f + 17*f - 18*f) to the form q*f + g + w*f**2 + v*f**3 and give w.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pps when three letters picked without replacement from {s: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnaaanap. What is prob of picking 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 7:42 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1071*v*y - 93*v - 4*y + 5 wrt y.\nAnswer: -1071*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 40 = 6*l. Let f = l - 16. Suppose -2*u + 72 = f*u. Calculate the greatest common factor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)\/a)**(-3\/14)*(a**(-2))**(-26)*(a**(2\/3))**(-31)*a**(3\/2)*a**(-9) assuming a is positive.\nAnswer: a**(502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8932 + -0.0332. Sort 1, -2, n.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3324423440 - -10?\nAnswer: -3324423430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 46*r + 3426 = -586. Solve 91 - r = -16*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 5*q**2 - 5*q - 1. Let d = 3 - -1. Suppose -i = -5*f - 26, f - d*i - 2 = -2*i. What is k(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 36 + 54 = 0. Let d = p - -32. Factor 5\/4*a**d + 0 + 1\/2*a + 3\/4*a**3.\nAnswer: a*(a + 1)*(3*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204647839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q + 1. Suppose q*f = f + 14. Calculate the highest common factor of f and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -3*z**2\/2 - 23*z - 1728. Let y(q) = q. What is u(r) + 4*y(r)?\nAnswer: r - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*i - 4*i - i**2 + 3*i**2 wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let a be -385 + 6\/(-1 - p). Is a\/(-5) + (-8)\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:20 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/9 - q**2\/6 - 9. Factor w(l).\nAnswer: l*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 1, z: 3, r: 4}. Give prob of sequence rr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 4. Suppose -3*d + 6 = -0*d. Suppose 6 = 8*a - d. Let h(p) = -2*p + 3 + p - 5 + a. Give 5*h(l) - k(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353, -342, -319, -278, -213, -118, 13, 186?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 671191 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*i - 443*i**2 + 888*i**2 - 446*i**2 + 11 as o + q*i**2 + c*i and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-10\/3)*v)\/((v\/(v*v**(-1\/12))*v*v)\/v))\/(v**(-3)\/(v*v*v**(-10))))**5)**(10\/13) assuming v is positive.\nAnswer: v**(-2225\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 32 = -5*a, -2*y - 4*a + 12 = 46 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5283 = -84*n - 1415 + 1826 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnvmvzzllwwnzz. Give prob of sequence wl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b*j**2*t - 408375*b*j + 2*b*t**3 - j**2*t**3 + 91*j**2*t**2 - 4*j**2*t + 118*j*t - t wrt b?\nAnswer: -4*j**2*t - 408375*j + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25650188 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + 0. Suppose 5*c + j = 5*p - 42, -3*c = p - 44. Are 29 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*k - 3495, -4 = -3*k + 5. Let u = 1847 + c. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 3. Let z(v) = v**2 - 7*v + 6. Let s be z(6). Let n be k(s). Suppose -4*p + 277 = l, 2*p - 273 = -l - n*p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*(3\/1)\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1\/6, 0.2, -0.1, -0.028, -0.27?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**3 + 7*k + 6. Let f be (-2)\/(-1) + (-5)\/(-5 - 0). Let y(g) = -7*g**f - 12 + 4 + 7*g - g + 13. What is 5*h(l) - 6*y(l)?\nAnswer: 2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 31 + 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(2\/(-12)) + -2)\/2. Let x = 7 + u. Suppose -2*m = -1 - 3. Solve -f - m*l + x = 0, f - 6*f + 26 = -l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 21*w**2 + 3*w + 3. Let f be t(-2). Let g = 141 - f. Let x = g + -55. Let a(n) = 2*n + 3. Let q(o) = -3*o - 5. Determine x*a(y) + 3*q(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(30\/9 + -4). Let c be (20\/6)\/(b\/(-36)). What is the units digit of -2*9\/((-18)\/c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37134385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20 and ((-284)\/8)\/((-20)\/(-4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}